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- 已知直线与圆交于两点,且,则实数的值为A.B.C.或D.或
- 设定义在区间上的函数的图象为,是上的任意一点,为坐标原点,设向量=,,,当实数λ满足x="λ" x1+(1-λ) x2时,记向量=λ+(1-
- 已知向量两两之间的夹角为60°,其模长都为1,则| |等于
- 如图:矩形ABCD中,AB= BC=2点E为BC的中点,点F在CD上。若则_____________。
- 已知向量,满足,且,则与的夹角为
- 在中,边的高为,若,,,,,则A.B.C.D.
- 四边形ABCD中,=a,=b,=с,=d,且a·b=b·с=с·d=d·a,试问四边形ABCD是什么图形?
- 已知中,,点为边所在直线上的一个动点,则满足A.最大值为16B.最小值为4C.为定值8D.与的位置有关
- 已知,,求;求的值.
- 已知 求在上的单调区间当x时,的最小值为2,求成立的的取值集合。若存在实数,使得,对任意x恒成立,求的值。
- 已知向量则实数k等于______.
- 在中,, ,点在上且满足,则等于( )A.B.C.D.
- 若,且⊥,则与的夹角是A.B.C.D.
- 已知. 求的夹角;求向量在上的投影.
- 已知向量a=(1,2),b=(1,0),c=(3,4),若l为实数, ∥c,则 l =A.B.C.1D.2
- 已知平面上不共线的四点O,A,B,C.若向量则的值为( )A.B.C.D.
- 三角形ABC中,角A、B、C所对的边分别是,则的值是A. B. C. D.
- 为正方形,平面,,则与所成角的度数为A.30° B.45°C.60°D.90°
- 已知空间四边形,点分别为的中点,且,用,,表示,则=_______________。
- 向量向上向左均平移1个单位后所得向量为;
- 已知向量,,且与互相垂直,则的值是.
- 平行六面体中,设则( )A.1B.C.D.
- 是圆上的三点,,的延长线与线段交于点,若,则的取值范围是 .
- 如图,边长为的正方形的顶点,分别在轴、轴正半轴上移动,则的最大值是 .
- 已知△中,∠A,∠B,∠C的对边分别为,且.求角的大小;20070316设向量,,求当取最大值时,的值.
- .已知,,为坐标原点,点在第四象限内,且,设,则的值是( ).
- 已知向量,且满足.(1)求函数的解析式;(2)求函数的最小正周期、最值及其对应的值;(3)锐角中,若,且,,求的长.
- 平面向量与的夹角为,,,则
- 已知是平面上的一定点,是平面上不共线的三点,动点满,,则动点的轨迹一定通过的. A.内心B.外心C.垂心D.重心
- 已知向量,,若函数在区间上是增函数,则实数的取值范围是_________.
- 设向量,且a与b的夹角为,若在区间上恒成立,则实数的取值范围是A.B.C.D.
- 如图,在△中,,是上的一点,若,则实数的值为( )A.B.C.1D.3
- 已知,向量与垂直,则实数的值为A.B.C.D.
- 已知是空间两个单位向量,它们的夹角为,设(1)求,(2)求向量的夹角.
- .设函数f(x)=,其中向量="(2cosx,1)," =(cosx,sin2x), x∈R.求f(x)的最小正周期;并求的值域和单调区间;在△AB
- 设向量,,满足,且,则,则=A.5B.C.D.7
- 在面积为的中,分别是,的中点,点在直线上,则的最小值是A.B.C.D.
- 在中,,为的外心,则________.
- 在△ABC中,A=90°,AB=1,设点P,Q满足若,则A.B.C.D.2
- △ABC中,AB=AC,M、N分别为AB、AC的中点,且BNCM,求△ABC的顶角的余弦值.
- 正方形的边长为,点在边上,点在边上,。动点从出发沿直线向运动,每当碰到正方形的边时反弹,反弹时反射角等于入射角,当点第一次碰到时,与正方形的边碰撞的次数为A.B
- (本题满分l4分)已知向量,且,其中是的三内角,分别是角的对边.求角的大小;求的取值范围.
- 中,边的高为,若,,,,,则A.B.C.D.
- 如图,是边长为的正方形,动点在以为直径的圆弧上,则的取值范围是.
- 如图所示:为△所在平面上一点,且点在线段的垂直平分线上,若,则。
- 已知向量,,,则与夹角的最小值和最大值依次是A.B.C.D.
- 已知为空间的一个基底,且, ,,判断四点是否共面;能否以作为空间的一个基底?若不能,说明理由;若能,试以这一基底表示向量
- 已知A、B、C的坐标分别为A,B,C若的值;若的值.
- 设为等边三角形的中心,则向量是A.有相同起点的向量B.平行向量C.模相等的向量D.相等向量
- 已知向量夹角为,且;则
- 是所在平面内一点,动点P满足,则动点P的轨迹一定通过的A.内心B.重心 C.外心D.垂心
- 已知向量夹角为,且;则
- 设为△的重心,且,则的大小为( )A.450B.600C.300D.150
- 已知三点,,,曲线上一点满足求曲线的方程点是曲线上的动点,曲线在点处的切线为,点的坐标是, 与,分别交于点,,求与的面积之比。
- 如上图,在梯形ABCD中,AD∥BC,AD⊥AB,AD=1,AB=2,BC=3, P是BC上的一个动点,当取最小值时,的值是 ▲.*
- 已知垂直,则k的值为
- 如果直线的方向向量是,平面的法向量是,那么直线与平面所成角的正弦值为 ( ) A.B.C.D.不确定
- 三角形的内角平分线定理是这样叙述的:三角形一个内角的平分线分对边所成的两条线段与这个角的两边对应成比例。已知在△ABC中,∠A=60o,∠A的平分线AD交边BC
- 给出下列命题:、是锐角的两个内角,则;在锐角中,则的取值范围为 ;已知为互相垂直的单位向量,且的夹角为锐角,则实数的取值范围是;已知
- 给定两个长度为1的平面向量和,它们的夹角为,如图所示,点C在以O为圆心的弧AB上移动,若求的最大值_____________
- 中,所对的边长分别为,且,,则 。
- O、A、B、C为空间四个点,又、、为空间的一个基底,则A. O、A、B、C四点共线 B. O、A、B、C四点共面C. O、A、B、C四点中任三点不共线 D.
- 若是直线的一个法向量,则的倾斜角的大小为.
- 已知抛物线的直线交抛物线于点M、N,交y轴于点P,若=A.1B.C.—2D.—1
- 已知△ABC的顶点A(2,3),且三条中线交于点G(4,1),则BC边上的中点坐标为A.(5,0) B.(6,-1) C.(5,-3) D.(6,-3)
- 在中,满足,是中点.若,求向量与向量的夹角的余弦值;若是线段上任意一点,且,求的最小值;若点是边上一点,且,,,求的最小值.
- 已知两点,,若直线上存在点满足,则实数的取值范围是A.B.C.D.
- 已知点O为△ABC内一点,向量,,满足,,则△ABC的形状为__________,△ABC的周长为________.
- 平面内有向量,点为直线OP上的一动点。当取最小值时,求的坐标;当点X满足的条件时求。
- 已知点G是△ABC的重心,若∠A=120°,·=-2,则||的最小值是 .
- 已知过点的动直线与抛物线相交于两点,当直线斜率是时,求抛物线的方程;设线段中垂线在轴上截距是,求的取值范围。
- 如图所示,在中,,,N在y轴上,且,点E在x轴上移动.求点M的轨迹方程;过点作互相垂直的两条直线,与点M的轨迹交于点A、B,与点M的轨迹交于点C、D
- 如图,在△ABC中,设,,AP的中点为Q,BQ的中点为R,CR的中点为P,若,则A.B.C.D.1
- 设是平面内的四个定点,平面内的点满足这样的点的个数是A.0B.1C.3D.4
- 设O为坐标原点,点M坐标为,若点N满足不等式组,当时,则的最大值的变化范围是A.B.C.[5,7]D.
- 若 △ABC 内接于以O为圆心,1为半径的圆,且 ,则 的值为A.B.C.D.
- 如图,在中,为边的中点,与交于点,,则。
- 已知是的外心,,若,则的值为 ▲.
- 直角坐标平面内,一个质点m在三个力共同作用下,从点A(10,-20)处移动到点B,若以x轴正向上的单位向量及y轴正向上的单位向
- 已知△内接于以为圆心,1为半径的圆,且,则________
- 在三角形ABC中,设,,点在线段上,且,则用表示为。
- 设,是直角坐标平面内轴正方向上的单位向量,若,且则点的轨迹是A.椭圆B.双曲线C.线段D.射线
- .在三棱锥中,分别为的中点。设,用表示向量
- 若点是的外心,且,,则实数的值为( )A.B.C.D.
- 已知两点,为坐标原点,若,则实数t的值为( )A.B.C.1D.
- 已知A、B、C是圆O:上三点,且=.
- 设点G是△ABC的重心,且+(40sinB)+(35sinC)=0,则角B的大小为A、450 B、600 C、30
- 已知是内的一点,且若和的面积分别为,则的最小值是A.20B.18C.16D.19
- 如图,在中,在斜边上,且,则的值为.
- 在平面直角坐标系xOy中,点A,对于某个正实数k,存在函数f=ax2,使得,这里点P、Q的坐标分别为P),Q
- 若直线的一个法向量,则直线的一个方向向量和倾斜角分别为( )A.B.C.D.
- .已知平行四边形ABCD中,,, M为AB中点,N为BD靠近B的三等分点.(1)用基底,表示向量,;(2)求证:M、N、C三点共线.
- 如图所示:中,点是中点。过点的直线分别交直线、于不同两点、。若,则的值W为
- 在四边形ABCD中,若,,则四边形ABCD是A.平行四边行B.矩形C.正方形D.菱形
- 已知点P是△ABC的中位线EF上任意一点,且EF//BC,实数x,y满足。设△ABC,△PBC,△PCA,△PAB的面积分别为S,S1,S2,S3,记取最大值时
- 在空间四边形中,,,,点在线段上,且,为的中点,则等于A.B.C.D.
- 已知M是△ABC的BC边上的中点,若向量=a,= b,则向量等于A.(a-b)B.(b-a)C.( a+b)D.(a+b)
- (12分)在中,已知点,,与交于点,求点的坐标.
- 已知三点不共线,为平面外一点,若由向量确定的点与共面,那么 .
- 如图,在中,是重心,过点,,若,则.
- 已知P为△ABC所在平面α外一点,侧面PAB、PAC、PBC与底面ABC所成的二面角都相等,则P点在平面α内的射影一定是△ABC的() A.内心 B.外心 C.
- (本题12分)如右图,在三角形中,,分别为,的中 点,为上的点,且. 若,求实数。
- .为平面内一点且满足,则为的___________(重心,垂心,内心,外心)
- 已知A、B是直线上任意两点,O是外一点,若上一点C满足,则的最大值是A. B. C.D.
- 如图,D、E分别是△ABC的边AB、AC上的点,DE∥BC且,那么与的面积比是( ) A.B.C.D.
- 已知向量,其夹角为,则直线=0与圆的位置关系是_____ ___。
- 函数的图像的一条对称轴为,则以为方向向量的直线的倾斜角为
- 已知一正方形,其顶点依次为,平面上任取一点,设关于的对称点为,关于的对称点为,……,关于的对称点为,则向量等于A.B.C.D.
- 已知对任意平面向量=(x,y),把绕其起点沿逆时针方向旋转角得到向量,叫做把点B绕点A逆时针方向旋转角得到点P. 设平面内曲线C上的每一点绕原点沿逆时针方向旋转
- 已知两定点满足条件的点P的轨迹是曲线E,直线y=kx-1与曲线E交于A、B两点。求k的取值范围;如果且曲线E上存在点C,使求。
- 是所在平面内一点,,则与的面积比为
- 已知:向量,O为坐标原点,动点M满足:.(1)求动点 M的轨迹 C的方程;已知直线、都过点,且,、与轨迹C分别交于点D、E.是否存在这样的直线、,使得△B
- 如图,在Rt△ABC中,已知BC=a,若长为2a的线段PQ以点A为中点,问与的夹角θ取何值时,的值最大?并求出这个最大值。
- 已知,,,若共同作用于一物体上,使物体从点M移动到N,则合力所作的功是
- 已知向量=,向量与向量夹角为,且=-1.求向量;若向量与向量=的夹角为,向量=,其中A、C为△ABC的内角,且A、B、
- 给定两个向量=、=,且(+λ)⊥(-),则λ=A.1 B.-1 C. D.
- 在△ABC中,已知等于( )A.-2B.2C.±4 D.±2
- 如图2, , 点在由射线, 线段及的延长线围成的区域内运动, 且,则的取值范围是__________;当时, 的取值范围是__________
- 在平行四边形ABCD中,,,,则。
- 已知直线x+y=a与圆x2+y2=4交于A、B两点,O是坐标原点,向量满足,则实数a的值是_________
- 已知向量与的夹角为,则等于A.5 B.4 C.3 D.1
- 已知向量,,若//,则实数x的值为A.-3B.2 C.4D.-6
- 在等腰直角△ABC中,点O是斜边BC的中点,过点O的直线分别交直线AB、AC于不同的两点M、N,若,则的最大值为A. B.1 C.2 D.3
- 若点P是ABC的外心,且则实数=A.1B.2C.-1D.-2
- 已知向量,求的最小正周期及对称中心;求在上的值域;令,若的图像关于原点对称,求的值。
- 在等腰直角三角形ABC中,D是斜边BC的中点,如果AB的长为2,则的值为
- 已知,,,若,∥,则与的夹角为A.B.C. D.
- 已知,当时,有〈 0 恒成立,求实数m的取值范围.
- 已知向量.若‖,求;当时,求的最值。
- 设点为的焦点,、、为该抛物线上三点,若,则.
- 如图1,是平面内的三个点,且与不重合,是平面内任意一点,若点在直线上,试证明:存在实数,使得:.如图2,设为的重心,过点且与、分别交于
- (本小题满分14分)设点A(2,2),B(5,4),O为原点,点P满足=+,;(1)当点P在x轴上时,求实数t的值;(2)是否存在t使得四边形OAB
- 设是所在平面内的一点,,则A.B.C.D.
- .若,且,则与的夹角是※.
- 在平面直角坐标系中,点、、。求以线段为邻边的平行四边形两条对角线的长;当为何值时,与垂直;当为何值时,与平行,平行时它们是同向还
- 在△ABC中,,,BE与CD交于点P,记,,用,表示=。
- 如图,,,是上的三等分点,则的值为A.B.C.D.
- (10分)已知分别在的边和上,且,设.若为线段CM的中点,用,表示;设与交于点Q,求的值.
- 在直角坐标平面内,已知点列如果为正偶数,则向量的坐标为_________
- .如图,△AOE和△BOE都是边长为1的等边三角形,延长OB到C使|BC|=t(t>0),连AC交BE于D点,则向量和的夹角的大小为.
- 为椭圆上任意一点,为线段的中点,求的最小值。
- 已知向量且 // ,则=A.B.C.D.
- 设向量,,定义一种向量积,已知,,点P在的图像上运动。是函数图像上的点,且满足,则当时,函数的值域是
- 设四边形ABCD中,有=,且||=||,则这个四边形是A.平行四边形B.矩形C.梯形D.菱形
- 在菱形ABCD中,·=
- 、已知求求
- 已知向量,向量且∥,则的最小值为为A.B.C.D.
- 若平面向量,满足,平行于轴,,则=.
- 在ABC中,,则的值为A.B.C.D.
- 已知平面直角坐标系内的两个向量=,=,且平面内的任一向量都可以唯一的表示成=λ+μ,则m的取值范围是A.(-∞,2
- 在中当m=时面积最大。
- 过点Q作圆C:x2+y2=r2()的切线,切点为D,且QD=4.(1)求r的值;(2)设P是圆C上位于第一象限内的任意一点,过点P作圆C的切线l,且l交x轴于点
- (本小题满分12分) 设向量,其中.求的取值范围;若函数的大小
- 已知为的边的中点,所在平面内有一点,满足,设,则的值为A.1B.C.2D.
- 已知向量a,b满足·=-6,且,,则a与b的夹角为.
- 在中,点P是AB上一点,且, Q是BC中点,AQ与CP交点为M,又,则的值为A.B.C.D.
- 为平面向量,已知,则的值为A.B.C.D.
- 在三角形ABC中,有命题:①-= ;②++=.③若(+).(
- 已知向量与向量的对应关系可用表示.试问是否存在向量,使得成立?如果存在,求出向量;如果不存在,请说明理由.
- .如题图,在直角梯形中,动点在以点为圆心且与直线相切的圆内运动,设,则的取值范围是A.B.C.D.
- 在中,角A,B,C所对的边分别是a,b,c,且a>b>c.设向量="(cosB,sinB)," 为单位向量。求角B的大小,若ABC的面积
- 已知向量.求;若与平行,求的值;若与的夹角是钝角,求实数的取值范围.
- P是△ABC所在平面内一点,且满足,已知△ABC的面积是1,则△PAB的面积是。
- 设向量满足,则的最大值等于A.2B.C.D.1
- 已知,且, 则在方向上的投影为______________ .
- (本小题满分12分)设A,B是椭圆上的两点,为坐标原点.设,, .求证:点M在椭圆上;若,求的最小值.
- 四边形ABCD中, BD是它的一条对角线,且,,.⑴若△BCD是直角三形,求的值;⑵在⑴的条件下,求.
- 若向量,则等于A.B.C.D.
- 在直角坐标平面内,已知点到,如果为正偶数,则向量的纵坐标为。
- 已知向量,,其中,求:;;与的夹角的余弦值.
- 设P为内一点,且,则的面积与面积之比为 __________.
- 在△中,是的中点,,点在上,且满足,则A.B.C.D.
- 已知点是三角形的重心,则=.
- 已知向量且,则等于A.B.-C.D.-
- 已知的三个顶点、、及平面内一点,若,则点与的位置关系是A.在边上B.在边上或其延长线上C.在外部D.在内部
- 如图,已知ΔABO中,点C为线段AB中点,点D是线段OB上的点,且,AD和OC交于点E,设.用表示向量;若,求实数的值.
- 已知焦点在x轴上的双曲线上有一点,直线是双曲线的一条渐近线,当时,该双曲线的一个顶点坐标是A.B.C.D.
- 已知相异两定点、,动点满足,则点的轨迹是A.直线B.圆C.双曲线D.抛物线
- 已知,,将沿=平移后的坐标为 A.B.C.D.
- 如图,半圆的直径,为圆心,为半圆上不同于的任意一点,若为半径上的动点,则的最小值等于A.B.C.D.
- 已知平面向量=,,若与垂直,则=A.B.C.D.
- 已知平面上三点A、B、C满足则的值等于2524-25-24
- 已知过点的直线与两坐标轴的正半轴交于、两点,为坐标原点,若,则四边形周长的最小值等于A.B.C.D.
- 下列命题中不正确的是()A.向量与的长度相等B.两个相等向量若起点相同,则终点必相同C.只有零向量的模等于0D.共线的单位向量都相等
- 已知都是正数,的最小值是A.2B.4C.8D.16
- 设向量
- 如图3.在△ABC中,AB=3,AC=5,若O为△ABC内一点,且满足,则的值是 .
- .如图,已知A,B,等腰梯形ABCD满足|AB|=-2|CD|,E为AC上一点,且。又以A、B为焦点的双曲线过C、D、E三点。若,则双曲线
- 在平面直角坐标系xOy中,点A,对于某个正实数k,存在函数,使得,这里点P、Q的坐标分别为,则k的取值范围为A.B.C.D.
- 以下四个命题中,正确的是 A.若,则三点共线B.若{ a , b , c }为空间的一个基底,则{ a+b , b+c ,c+a }构成空间的另一个基底C.
- 有下列五个命题:①平面内,到一定点的距离等于到一定直线距离的点的集合是抛物线;②在平面内,F1、F2是定点,,动点M满足,则点M的轨迹是椭圆;③“在中,“”是“
- 已知向量,,若.(1) 求函数的最小正周期;(2) 已知的三内角的对边分别为,且,,求C、的值.
- 若点P分有向线段所成的比为,则点B分有向线段所成的比为A.3B.C.D.
- 若向量a=(cos,sin),b=(cos,sin),则a与b一定满足A.a与b的夹角等于-B.(a+b)⊥(a-b)C.a∥bD.a⊥b
- 已知△ABC所在的平面α外一点P到△ABC各边的距离相等,O是P在△ABC内的射影,则O是△ABC的( )A.外心B.垂心C.内心D.重心
- 已知向量,的夹角为,,,若点M在直线OB上,则的最小值为.
- 三、解答题:本大题共6小题,共70分.解答应写出文字说明,证明过程或演算步骤.17.设向量,向量若向量,求的值;求的最大值及此时
- 、若,且,则实数的值是A.-1B.0 C.1D.-2
- 在中,分别为三个内角所对的边,设向量,若向量,则角的大小为A.B.C.D.
- .在中,,,,点在边上,,则A.B.C.D.
- 在平面直角坐标系xOy中,给定两定点M(- 1,2)和N( 1,4),点P在x轴上移动,当取最大值时,点P的横坐标是________.
- 已知向量,其中、均为非零向量,则的取值范围是.
- 抛物线上有两点,且,求证:; 若,求面积.
- 在空间四边形ABCD中,若,,,则等于A.B.C.D.
- 以原点O及点A为顶点作等腰直角三角形OAB,使,则的坐标为A.B.或 C.D.或(3
- 在平面直角坐标系xOy中,点P(,cos2θ)在角α的终边上,点Q(sin2θ,-1)在角β的终边上,且·=-(1)求cos2θ的值; (2)求sin(α+β)
- .已知向量,,为坐标原点,在轴上找一点,使最小,则点坐标为A.B.C.D.
- 在中,若是的中点,在线段上移动,当最小时,求的比.( A.1B.3 C.2D.4
- 在中,若,则是A.等腰三角形B.等腰直角三角形C.直角三角形 D.等边三角形
- 若=,=,且//,则=" (" )A.3 B.-3C.6D.-6
- 已知正方形ABCD的边长为a,则等于。
- 如图,A是单位圆与轴正半轴的交点,点B、P在单位圆上,且,,,四边形OAQP的面积为S.求;求的最大值及此时的值0.
- 在△ABC中,∠ABC=90°,若BD⊥AC且BD交AC于点D,||=,则·=A.-3B.3C.-D.
- 在平行四边形ABCD中,E、F分别为AB、BC的中点,记三边及内部组成的区域为,,当点P在上运动时,的最大值为。
- 若向量满足=1,=2,且与的夹角为,则=.
- .如图,,点P在线段AB的垂直平分线上,记向量的值为.
- 设M、O、A、B、C是空间的点,则使M、A、B、C一定共面的等式是A. B.C.D.
- 已知动点在椭圆上,若,点满足,且,则的最小值是。
- 在平行四边形ABCD中,AB=3,AD=2,,E是DC的中点, F是AE的中点,则=
- 若对个向量,存在个不全为零的实数,使得=成立,则称向量为“线性相关”.依此规定,请你求出一组实数的值,它能说明="(1,0)," =(1,-1), ="(2,2
- 、①点在所在的平面内,且;②点为内的一点,且使得取得最小值;③点是所在平面内一点,且,上述三个点中,是的重心的有个个个个
- 已知两空间向量=(2,cos θ,sin θ),=(sin θ,2,cos θ),则+与-的夹角为( )A.30° B.45° C.60° D.90°
- )已知是正三角形内部一点,,则的面积与的面积之比是( )A.B.C.2D.
- 若=。
- 如图,在空间四边形OABC中, ,,,点M在OA上,且,N是BC的中点,则等于A.B.C.D.
- 在中,已知是边上一点,若,则( )A.2 B.1C.-2 D.-1
- 中,,,且与相交于点,是的中点,与相交于点,若,则ABCD
- .若空间三点共线,则.
- 设,,其中;若∥,求的值;若函数,,,若对于任意恒成立,求的取值范围.
- 自然数满足,则满足向量, ,则满足的概率为
- 已知是边延长线上一点,记. 若关于的方程在上恰有两解,则实数的取值范围是
- 已知,,为坐标原点,点在的角平分线上,且,则点的坐标为.
- 在中,a、b、c分别为角A、B、C的对边,向量,且.①求角B的大小;②若,求a+c的最大值
- 已知是的边上的中线,若、,则等于A.B.C.D.
- 已知非零向量、、、满足:=++g,B、C、D为不共线三点,给出下列命题:①若=,=,g,则A、B、C、D四点在同一平面上;②若
- 已知点A(4,1,31),B(2,-5,1),C为线段AB上一点且,则点C的坐标为.
- 、已知,,,若△是以为直角顶点的等腰直角三角形,则△的面积为▲。
- .已知对任意平面向量=(x,y),把绕其起点沿逆时针方向旋转角得到向量,叫做把点B绕点A逆时针方向旋转角得到点P. 设平面内曲线C上的每一点绕原点沿逆时针方向旋
- 若平面向量,满足,平行于轴,,则
- 正四面体的棱长为1,空间中动点P满足,则的最小值为…………………………………………………………………………………………A.B.C.D.
- 已知向量,.若向量满足,,则A.B.C.D.
- 设平面向量=,,,,⑴若,求的值;⑵若,证明和不可能平行;⑶若,求函数的最大值,并求出相应的值.
- 设为的外心,若,为的内角,则____________.
- 已知的三个顶点及平面内一点,若,则点与的位置关系是A.在边上B.在边上或其延长线上C.在的内部D.在的外部
- 在平行四边形ABCD中,, O是平面ABCD内任一点,,当点P在以A为圆心,丨为半径的圆上时,有A..B.C.«D.
- 在△ABC中,,若点D满足,则=( )A.B.C.D.
- .设G是的重心,且,则角B的大小为A.45°B.60°C.30°D.15°
- 已知向量,则向量的夹角的取值范围是A.B.C.D.
- :已知点列满足:,其中,又已知,.(1)若,求的表达式;(2)已知点B,记,且成立,试求a的取值范围;(3)设中的数列的前n项和为,试求:。
- .设是的重心,且,则的大小为A.45°B.60°C.30°D.15°
- 已知点A(-3,-4)、B(1)求的坐标及||;(2)若=+,=-,求及的坐标;(3)求·
- 在平行四边形中,O是对角线AC与BD的交点,下列结论中正确的是A.B.C.D.
- 如图,若G,E,F分别是ABC的边AB,BC,CA的中点,O是△ABC的重心,则 0
- 已知点在上,,用和来表示向量,则等于.
- 已知是x,y轴正方向的单位向量,设, 且满足、求点P(x,y)的轨迹E的方程.、若直线过点且法向量为,直线与轨迹E交于两点.点,
- 求值 cos如图∆AOB中 点P在直线AB上且满足的值(6分 )
- 如图,已知的面积为14,、分别为边、上的点,且,与交于。设存在和使,,,。求及用,表示求的面积
- 已知平面上直线的方向向量,点和在直线的正射影分别是和,且,则等于A.B.C.D.
- 已知,若为满足的一随机整数,则是直角三角形的概率为A.B.C.D.
- 已知为原点,点的坐标分别为,其中常数,点在线段上,且=(),则·的最大值为 ▲
- ,且=,则实数的关系为A.B.C.D.
- 已知△ABD是等边三角形,且,那么四边形ABCD的面积为A.B.C.D.
- 已知A、B、C是直线l上的三点,O是直线l外一点,向量满足=[f(x)+2f′(1)]-ln(x+1)。求函数y=f(x)的表达式;
- 已知ABCD四点的坐标分别为 A, B,C,D⑴证明四边形ABCD是梯形;⑵求COS∠DAB。⑶设实数
- 已知△OAB的顶点坐标为,,, 点P的横坐标为14,且,点是边上一点,且.(1)求实数的值与点的坐标;(2)求点的坐标;(3)若为线段上的一个动
- 若A,B,C是直线上不同的三个点,点O不在上,存在实数x使得,实数x为A.-1B.0 C.D.-1或0
- 已知点,直线,点是直线上的一点。若,则点的轨迹方程为_________
- 已知,点在内,且30°,设 ,则等于A.B.3 C.D.
- 已知△ABC所在平面上的动点M满足,则M点的轨迹过△ABC的A.内心B.外心C.重心D.垂心
- 已知AD是Rt斜边BC的中线,用解析法证明.
- 如图,P为△AOB所在平面上一点,向量,且P在线段AB的垂直平分线上,向量。若=3,=2,则的值为A.5B.3C.D.
- 已知P,A,B,C是平面内四个不同的点,且,则( )A. A,B,C三点共线B. A,B,P三点共线C. A,C,P三点共线D. B,C,P三点共线
- 在正方形中,是边的中点,且,,则 ▲.
- 设O是直线AB外一点,,,点…是线段AB的n(n≥2)等分点,则 .知).C.D.
- 设是空间不共面的四点,且满足,,,则是A.钝角三角形B.锐角三角形 C.直角三角形D.以上三种情形都有可能
- 在边长为1的等边中,设()A.B.0 C.D.3
- 如图,在平行四边形中,下列结论中正确的是A.B.C.D.
- 在直角坐标系中,分别是与轴、轴正方向同向的单位向量,在直角三角形中,若,则的可能值个数是A.1B.2C.3D.4
- ,,则A.B.C.D.
- 若的A.外心B.垂心C.重心D.内心
- 已知A、B、C是="" 。
- 已知向量且,则一定共线的三点是A.B.C.D.
- 设点M是线段BC的中点,点A在直线BC外,则A.B.C.D.
- 在平行四边形中,若,则必有A.B.C.为矩形D.为正方形
- 已知集合,,定义函数. 若点,,,的外接圆圆心为D,且,则满足条件的函数有A.6个B.10个C.12个D.16个
- 已知是x,y轴正方向的单位向量,设=, =,且满足、求点P(x,y)的轨迹E的方程.、若直线过点且法向量为,直线与轨迹交于两点.点,无
- 已知两点M(-2,0),N(2,0),点P为坐标平面内的动点,且满足||||+·=0.(1)求点P的轨迹C的方程;(2)设过点N的直线l的斜率为k,且与曲线C相
- 在直角坐标系中,已知点且则()A.1B.
- 将圆按向量平移得到,直线与相交于、两点,若在上存在点,使求直线的方程.
- 设点是线段的中点,点在直线外,若,,则________
- 设,.的取值范围是;设,点的坐标为,若在方向上投影的最小值为,则的值为 .
- 平面内及一点满足,则点是A.内心B.外心C.重心D.垂心
- 知,与的夹角为,如下图所示,若,,且为的中点,则=A.B.C.D.
- 已知,点在内,且,设,() 则等于A.B.C.D.1
- 已知⊙由⊙O外一点P向⊙O引切线PQ,切点为Q,且满足求实数a,b间满足的等量关系;求线段PQ长的最小值;若以P为圆心所作的⊙P与⊙
- 已知点和互不相同的点,满足,其中分别为等差数列和等比数列,O为坐标原点,若为线段AB的中点。求的值;证明的公差为d =0,或的公比
- 已知点A,点B,点P是直线上动点,当|PA|+|PB|的值最小时,点P的坐标是
- 已知直线交于B、C两点,A是圆上一点,且满足,其中O是坐标原点,则实数a的值是 A.2 B.3C.4 D.5
- 已知点A、B是双曲线x2-=1上的两点,O为坐标原点,且满足·=0,则点O到直线AB的距离等于A.B. C.2D.2
- (本大题满分12分)中角A的对边长等于2,向量向量.当取最大值时,求角A的大小;在条件下,求面积的最大值.
- 已知A,B,C,D为平面上的四个点,则=
- (本大题满分12分)平面内有向量,点X为直线OP上的一动点。当取最小值时,求的坐标;当点X满足的条件和结论时,求的值.
- 已知A.B.C是平面上不共线的三点,O为△ABC的外心,动点P满足, 则P的轨迹一定过△ABC的 A.内心 B.垂心 C.重心 D.AC边的中点
- 如图,是单位圆与轴正半轴的交点,点、在单位圆上,且,,,,四边形的面积为,求+求的最大值及此时的值;
- 已知点C在∠AOB内,且∠AOC=45°,设等于A.B.C.D.2
- 如图,在矩形中,和分别是边和的点,满足若其中,则是A.B.C.D.1
- 已知向量,设(1)若,求的值域.(2)若的图象可以按向量平移后得到的图象,指出向量的一个值.
- 设为△内一点,若任意,有,则△的形状一定是A.锐角三角形B.直角三角形C.钝角三角形D.不能确定
- 下列条件中,使点M与点A、B、C一定共面的为A、=2-- B、=++C、++= D、+++=
- 平面向量已知∥,,求、及夹角.
- 平面内有两定点A,B,且|AB|=4,动点P满足,则点P的轨迹是.
- △ABC种,点D在边AB上,CD平分∠ACB,若=a,=b,|a|=1,|b|=2,则=A.B.C.D.
- 设向量不共线,若,则C点所有可能的位置区域用阴影表示正确的是
- 已知O是平面上一定点,A、B、C是平面上不共线的三个点,动点P满足则P点的轨迹一定通过△ABC的 A.重心 B.垂心 C.内心 D.外心
- 在△ABC中,向量与满足,且,则△ABC为A.直角三角形B.等腰三角形C.等边三角形D.等腰直角三角形
- 已知向量.若,求的值;记,在中,角的对边分别为,且满足,求的取值范围.
- 已知,, ,若共同作用在物体上,使物体从点(2,-3,2)移到,则合力所作的功_______________.
- 如图所示,O点在△ABC内部,D.E分别是AC,BC边的中点,且有,则△AEC的面积与△AOC的面积的比为 A.2 B. C.3 D.
- 设,是非零向量,若函数的图象是一条直线,则必有A.B.C.D.
- 如图,△ABC中,,,. 若,.,,则=A.2B.4 C.6D.8
- 已知△ABC所在平面内一点P,且满足,则△ACP与△BCP的面积之比为.
- 设点是线段的中点,点在直线外,若,,则__________。
- 点在内部且满足,则的面积与凹四边形的面积之比为.
- 已知是内的一点,且,,的面积分别为的最小值为A.20B.18 C.16D.9
- 已知向量a,b,函数a·b,且的图像上的点处的切线斜率为2求和的值;求函数的单调区间。
- 的面积是30,内角所对边长分别为,。(Ⅰ)求;(Ⅱ)若,求的值。
- 已知向量且A、B、C分别为△ABC的三边a、b、c所对的角.求角C的大小;若,求c边的长.
- 已知,点在内,且30°,设 ,则等于A.B.3C.D.
- 在△ABC所在平面上有三点P、Q、R,满足,,,则△PQR的面积与△ABC的面积之比为 ( )A.1:2B.1:3C.1:4D.1:5
- 在平面直角坐标系中,O为坐标原点,已知向量与向量共线。求t所满足的关系式;当k>4且取最大值为4时,求的值。
- 向量的终点A、B、C在一条直线上,且,设则下列等式正确的是( )A、 B、 C、 D、
- 设点P是ΔABC内一点,且,则x的取值范围是,y的取值范围是。
- 平行四边形中,对角线和交于,若那么用表示的为.
- 已知向量的夹角为,,,则ΔABC的形状为。
- 设,是与同向的单位向量,则的坐标是.
- 已知P为ΔABC所在平面内一点,若,则点P轨迹过ΔABC的A.内心B.垂心C.外心D.重心
- 已知平面向量a=,b=证明ab;若存在实数k,t,使x=a+b,y=-ka+tb,且xy,试求k,t的函数关系式;根据(2
- 若O为内一点,且,则________________.
- 如右图,在中,是的中点,,点在上,且满足,则的值等于.
- 平面上三点不共线,设,则的面积等于A.B.C.D.
- 设为坐标原点,点点满足则的取值范围为
- 已知向量的夹角为,且在△中,为边的中点,则等于A.1B.2C.3D.4
- 如图:,点P在由射线OM、线段OB及AB的延长线围成的阴影区域内运动,且,则当时,的取值范围是。
- 的三个内角所对边的长分别为,设向量.若,则角的大小为A. B. C. D.
- 在中,满足的夹角为,M是AB的中点若,求向量的夹角的余弦值若,在AC上确定一点D的位置,使得达到最小,并求出最小值
- 已知O是的外心, AB2, AC1,, 设,若,则__________________.
- 设点O在△ABC的外部,且,则.
- 设点P,是角终边上的一点,则当最小时,A.B.C.D.
- 在△ABC中,O是外心,动点P满足:,则点P的轨迹一定通过△ABC的A.重心与外心B.垂心与外心C.重心及垂心D.重心、垂心及外心
- 设为的外心,且,则的内角的值为 A.B.C.D.
- 在中,已知是边上一点,若,,则的值为A.B.C.D.
- 在△ABC中,=c,=b,若点D满足=2,则等于A.b+c B.c-b C.b-cD.b+c
- 在平面内有两个向量,今有动点P从开始沿着与向量相同方向做匀速直线运动,速度为︱︱;另一动点Q从点出发,沿着与向量相同的方向做匀速直线运动,速度为︱
- 在中,,O是内的一点,若,则O是的_______心。A 重心B内心C外心D 垂心
- 在直角坐标平面内,已知点列则向量的坐标为;如果为正偶数, 那么向量的坐标(用表示)为_____.
- 已知向量=(1,2,3),=(3,0,2),=(4,2,)共面,则
- 已知,O为坐标原点,点C在内,且,设,则等于A.B.C.D.3
- 已知向量,函数若,求方程的根;若函数的最小值为,求实数的值。
- 如图,三定点A(2,1),B(0,-1),C(-2,1); 三 动点D,E,M满足="t," =" t" ,="t" , t∈[0,1].
- 已知向量,且与共线,则锐角等于
- ( )A.=B.C.D.2
- 如图,在□ABCD中,E、F分别是BC,DC的中点,,用a,b表示和。则=,=
- 如图:向量,点为圆心的圆弧上运动,设 ,则的最大值为( )A.1B.C.2D.
- 已知抛物线,点,点E是曲线C上的一个动点,设,C,D在直线AB上,轴。用表示在方向上的投影;是否为定值?若是,求此
- 设向量,点为动点,已知。求点的轨迹方程;设点的轨迹与轴负半轴交于点,过点的直线交点的轨迹于、两点,试推断的面积是否存在最大值?若
- 在平面斜坐标系中,,斜坐标定义:如果,则叫做的斜坐标。已知的斜坐标是,则=
- 在中,点P是AB上一点,且Q是BC中点,AQ与CP交点为M,又,则的值为A.B.C.D.
- 在,角A,B,C的对边分别为。判断的形状;若的值。
- 已知向量若,求的值;记,在中,角A、B、C的对边分别是,且满,求的取值范围。
- 已知向量, 向量, 且, 动点的轨迹为E.求轨迹E的方程;证明:存在圆心在原点的圆,使得该圆的任意一条切线与轨迹E恒有两个交点
- 如图,是等边三角形,,,三点共线,求D是线段BC上的任意点,若,求
- 求向量;若映射①求映射f下原象;②若将作点的坐标,问是否存在直线l使得直线l上任一点在映射f的作用下,仍在
- 如图1所示,是的边的中点,则向量A.B.C.D.
- 已知A、B、C是直线l上的三点,向量满足,则函数的表达式为= .
- 如图,半圆的直径,为圆心,为半圆上不同于的任意一点,若为半径上的动点,则的最小值是___ _______.
- 在四边形ABCD中,其中不共线,则四边形ABCD是A.平行四边形B.矩形C.梯形D.菱形
- 点P在的面积的m倍,那么m=A.B.C.4D.2
- (本小题满分12分)已知向量与互相垂直,其中.求和的值;若,求的值.
- 如图,、分别是射线上的两点,给出下列向量:①;②;③;④;⑤.这些向量中以为起点,终点在阴影区域内的是( )A.①②B.①④C.①③D.③⑤
- 已知向量满足,且,则△的面积
- 在,AD为BC边上的高,O为AD的中点,若=.
- 如图,在△ABC中,点O是BC的中点,过点O的直线分别交直线 AB、AC于不同的两点M、N,若,则m+n的值为.
- 已知直线交于A、B两点,且,其中D为原点,则实数a的值为 A.2 B.4 C. D.
- 在平面直角坐标系中,O为坐标原点,已知向量,又有点(1)若,且,求向量;(2)若向量与向量共线。当,且函数取最大值为4,求的值。
- 在平行四边形ABCD中,已知,AE与DB交于F点。设,用a表示、的值。
- 平面直向坐标系中,O为坐标原点,已知两点A B若点C满足,其中∈R且+=1,则点C的轨迹方程为。A.B.3x+2y-11="0"C.2x-
- (本小题满分13分) 已知⊙O经过三点、、,⊙M是以两点,为直径的圆.过⊙M上任一点P作⊙O的切线PA、PB
- 点P在△ABC内一点,且=+t则t的取值范围是A.0<t<B.0<t<C.<t<1D.<t<1
- (12分)已知一列非零向量满足:,. (1)求证:为等比数列; (2)求向量与的夹角; (3)设,记,设点为,则当为何值时有最小值,并求此最小值.
- 在平面直角坐标系中,四边形中,∥,∥.已知点则点的坐标为__
- 设D为△ABC的边AB上一点,P为△ABC内一点,且满足:, ,则=.
- P是△ABC内一点, =+,则=。A.B.C.D.
- 在中,点E是AB的中点,点F在BD上,且BF=BD,求证:E、F、C三点共线.
- 如图2, , 点在由射线、线段及的延长线围成的区域内运动, 且,则的取值范围是__________; 当时, 的取值范围是__________.
- 如图,在梯形ABCD中,AD∥BC,AD⊥AB,AD=1,AB=2,BC=3, P是BC上的一个动点,当取最小值时,的值是A.B.C.D.
- 已知A,B,C是平面上不共线的三点,O为△ABC的外心,动点P满足,则P点的轨迹一定过△ABC的A.内心B.垂心C.重心D.AB边的中点
- 如右图所示,△ABC中,EF是BC边的垂直平分线,且,a ,b,则= A.B.C.D.
- 设作用于同一点O的三个力处于平衡状态,若的夹角为,求:的大小;与所成角的大小。
- 设为直角坐标平面内两点,O为坐标原点,则在方向上的投影为A.B.C.D.
- 已知和点满足,则与的面积之比为▲.
- (本小题满分12分)已知△ABO中,延长BA到C,使AC="BA," D是将分成的一个分点,DC和OA交于E,设,用表示向量。若,求实数的值。
- 如图,已知,.试用向量来表示向量;若向量,的终点在一条直线上,求实数的值;设,当、、、四点共圆时, 求的值.
- O是平面上一定点,A,B,C是平面上不共线的三个点,动点P满足,,则P的轨迹一定通过的A.外心B.内心C.重心D.垂心
- 设A,B,C,D是空间内不公面的四点,且满足,,则是A.钝角三角形B.锐角三角形C.直角三角形D.任意三角形
- 已知四边形,是的垂直平分线,垂足为,为直线外一点.设向量,,则的值是A.B. C.D.
- 在平行四边形ABCD中,等于A.B.C.D.
- 若为所在平面内一点,且,则A.B.C.D.
- .已知点C在内部且,设,则等于A. B.3 C. D.
- 设轴、轴正方向上的单位向量分别是、,坐标平面上点、分别满足下列两个条件:①且;②且.求向量及向量的坐标;设,求的通项公式并求的最
- 已知是内一点,且满足,记、、的面积依次为,则等于.
- 如图,在中,D、E分别是AB、AC的中点,DM=DE,若,用表示若N为线段BC上的点,且BN=BC,用向量方法证明:A、M、N三点
- 已知是的外心,,若,则的值为A.2B.C.D.
- 如图,ABCD的对角线交点是O,则下列等式成立的是A.B.C.D.
- 设的外心为O,以线段OA、OB为邻边作平行四边形,第四个顶点为D,再以OC、OD为邻边作平行四边形,它的第四个顶点为H 。若用;求证:;设中,
- 已知非零向量不共线,且,,求证:A、B、D三点共线试确定实数k的值,使共线
- 如图,(Ⅰ)若∥,求x与y间的关系(Ⅱ)在的条件下,若有,求x,y的值及四边形ABCD的面积.
- 已知向量=,向量=,O为坐标原点,当与的夹角在内变动时,实数α的取值范围是
- 已知向量,且A、B、C三点共线,求k的值. 已知
- 如图,平面内有三个向量、、,其中与与的夹角为120°,与的夹角为30°,且||=||=1,||=,若=λ+μ,则λ+μ的值为
- 如图所示,设P、Q为△ABC内的两点,且,,则△ABP的面积与△ABQ的面积之比A.B.C.D.
- 在四边形ABCD中,,,,则四边形ABCD的形状是A.长方形B.平行四边形C.菱形D.梯形
- 如图,在△ABC中,,,若,,则A.B.C.D.
- 已知在平面直角坐标系中,A(-2,0),B(1,3),O为原点,且,,若N(1,0),则的最小值是______________.
- 如图,在四边形中,已知,,则▲.
- 已知点G是三角形ABC内一点,且,则点G是三角形ABC的A.重心B.垂心C.内心D.外心
- 在三角形ABC中,AB、BC、CA的长分别为c,a,b且b=4,c=5,∠A=450,则=____
- 已知A(3,1),B(0,-1),C(1,3), D(a,b),则当a,b满足什么条件时,可以使得 (1)AB∥CD; (2)AB⊥CD.
- 在平面直角坐标系中,为坐标原点,设向量,,若且,则点所有可能的位置所构成的区域面积是.
- 中,点在上,平方.若,,,,则A.B.C.D.
- 设点M是线段BC的中点,点A在直线BC外,则84 21解析:由=16,得|BC|=4 =4而故2答案:C
- 平面上三点不共线,设,则的面积等于A.B.C.D.
- 按向量把平移到,则按向量把点平移到点______
- △ABC中,点D在边AB上,CD平分∠ACB,若=" a" , =" b" , =" 1" ,=" 2," 则=A.a
- 已知向量的夹角为,且,,在ABC中,,D为BC边的中点,则A.1B.2 C.3D.4
- 如图,在ΔABC中,,错误!不能通过编辑域代码创建对象。错误!不能通过编辑域代码创建对象。,,则=A.B.C.D.
- 已知ΔAOB中,点P在直线AB上,且满足:,则=
- 平面上O,A,B三点不共线,设,则△OAB的面积等于A.B.C.D.
- 若点是的外心,且,,则实数的值为A.1B.C.D.
- 如图,用两根绳子把质量为kg的物体W吊在水平横杆AB上。物体平衡时,A和B处所受力的大小为分别20N、40N,,则的大小
- O为△ABC所在平面上的一点且满足||2+||2=||2+||2=||2+||2,则O为A.△ABC的三条高线的交点 B.△ABC的三条中线的交点C.△ABC的
- 点在内部且满足,则的面积与的面积比是 A.B.C.D.
- 已知,是非零向量,且的夹角为,则向量的模为.
- 点在内部且满足 ,则的面积与的面积之比是 A.B.C.D.
- 已知C为线段AB上一点,P为直线AB外一点,满足为线段PC上一点,且有,则的值为A.1B.2 C.D.
- 如图所示,已知D是面积为1的的边AB上任一点,E是边AC上任一点,连结DE,F是线段DE上一点,连结BF,设,且,记的面积为,则S的最大值是【注:必要时,可利用
- 下列命题错误的是A.非零向量B.零向量与任意向量平行C.已知D.平行四边形ABCD中,
- 如图,在矩形OACB中,E和F分别边AC和BC的点,满足AC=3AE,BC=3BF,若其中λ,μ∈R,则λ+μ是A.B.C.D.1
- 已知为坐标原点,,,若求关于的函数关系式;若的最大值为,求的值; 当成立时,求出单调区间。
- 平面、的法向量分别为=,=(-3,1,-4),则,的位置关系是
- 已知为正方形的中心,点为正方形所在平面外一点,若,则=A.1B.2 C.3D.4
- 定长为3的线段AB两端点A、B分别在轴,轴上滑动,M在线段AB上,且求点M的轨迹C的方程;设过且不垂直于坐标轴的动直线交轨迹C于A、B两点,问:线段
- 已知,用表示,则A.B.C.D.
- 如图:空间四边形中,点分别是的中点.设用表示向量.若,且与、夹角的余弦值均为,与夹角为600,求
- 已知表示共面的三个单位向量,那么的取值范围是A.B.C.D.
- 已知为原点,点A,B的坐标分别是,其中常数,点P在线段AB上,且,则的最大值为A.B.C.D.
- 在直角坐标平面中,△ABC的两个顶点为 A,B平面内两点G、M同时满足①,②= = ③∥求顶点C的轨迹E的方程设P、Q、R、
- 已知|a|=3,|b|=5,如果a∥b,则a·b="" A.B.C.D.以上均不对
- 如图6所示,在直角坐标平面上的矩形中,,,点,满足,,点是关于原点的对称点,直线与相交于点.求点的轨迹方程;若过点的直线与点的轨
- 已知,, 的最小值为1,若动点P同时满足下列三个条件:①,②;③动点P的轨迹C经过点B。求c值;
- 14平面上的向量满足,且,若向量,则的最大值为。
- 已知:在△ABC中,a,b,c分别是角A、B、C所对的边,向量m=,n=且m·n=.求角B的大小;
- 已知的三个顶点及平面内一点满足:,若实数满足:,则的值为A.B.C.D.
- 如图,在平行四边形中,,则.
- 在平面直角坐标系中,已知为坐标原点,点的坐标为,点的坐标为,其中且.设.若,,,求方程在区
- 已知若求函数的单调减区间;若求函数的最大值和最小值.
- 平面直角坐标系中,已知点,,且.当时,点无限趋近于点,则点的坐标为.
- 已知向量若求x的值;函数,若恒成立,求实数c的取值范围。
- 若直线l的方向向量是=,平面α的法向量是=,试求直线l与平面α所成角的余弦值。
- 设a=(1,-2),b=(-3,4),c=(3,2),则(a+2b)·c=A.(-15,12)B.0C.-3D.-11
- 已知,,的夹角为,如图,若,,为的中点,则为.A.B.C.7D.18
- 已知,(1)求的值;求的夹角;求.
- 已知向量(cos,sin) (≠0 ),=" (" – sin,cos),其中O为坐标原点。若=– ,求向量与的夹角;若||≥2||对任意实数、都成
- 如图所示,已知设是直线上的一点, (其中为坐标原点).(Ⅰ)求使取最小值时的点的坐标和此时的余弦值. (Ⅱ)对于(Ⅰ)中的.若是线段的三等分点,且,与交于
- 在直角梯形中,,,且,是的中点,且,则的值为A.B.C.D.
- 在⊿ABC中,设,,,若⊿ABC为正三角形,求证:;若成立,⊿ABC是否为正三角形.
- 下列四个命题中正确的命题序号是① 向量共线的充分必要条件是存在实数使成立。② 铁路动车从杭州出发经宁波到福州共有车站,为适应客运需要准备新增个车站,则客运车
- 在△ABC中,角A、B、C的对边分别为a、b、c,若判断△ABC的形状;若的值.
- 设D为等腰三角形ABC底边BC的中点,利用向量法证明:.
- 求值;求的值
- 求椭圆C的方程是否存在过点的直线交椭圆C于点M,N且满足,若存在求出直线的方程,若不存在说明理由。
- 已知点,O为坐标原点,点的坐标x,y满足,则向量在向量方向上的投影的取值范围是A.B.C.D.
- 如图,△AOE和△BOE都是边长为1的等边三角形,延长OB到C使|BC|=t(t>0),连AC交BE于D点.⑴用t表示向量和的坐标;⑵求向量和的夹角的大小
- 已知点,直线,点是直线上的一点,若,求点的轨迹方程.
- 求;求的取值范围
- (1)求的取值范围;(2)若,,求的值
- 求证:,,,为顶点的四边形是一个矩形.
- 已知向量 ,,函数.求的单调增区间;若在中,角所对的边分别是,且满足:,求的取值范围.
- 已知,,,试判断的形状,并给出证明.
- .已知向量,ω>0,记函数=,若的最小正周期为.⑴ 求ω的值;⑵ 设△ABC的三边a、b、c满足b2=ac,且边b所对的角为,求的范围,并求此时函数的值域
- 设点是线段上的一点,、的坐标分别是,.当点是线段的中点时,求点的坐标;当点是线段的一个三等分点时,求点的坐标.
- 已知长方形ABCD,AB=3,BC=2,E为BC中点,P为AB上一点利用向量知识判定点P在什么位置时,∠PED=450;若∠PED=450,求证:P
- 已知点,,,,试判断向量和的位置关系,并给出证明.
- 、如图,,为单位向量,与夹角为1200,与的夹角为450,||=5,用,表示。
- 一架飞机向北飞行300 km,然后改变方向向西飞行400 km,求飞机飞行的路程及两次位移的合成.
- 已知平行四边形ABCD的两条对角线AC与BD交于E,O是任意一点,求证:+++=4
- 已知平行四边形的顶点,,求顶点的坐标.
- 在平面直角坐标系中,O为坐标原点,已知向量,又点(1)若且,求向量;(2)若向量与向量共线,当时,且取最大值为4时,求
- 一条河的两岸平行,河的宽度m,一艘船从处出发到河对岸.已知船的速度km/h,水流速度km/h.要使船行驶的时间最短,那么船行驶的距离与合速度的比值必须最小.此时
- 设,是平面内一组基底,证明:当时,恒有.
- 如图,已知,,任意点关于点的对称点为,点关于点的对称点为,用、表示向量.
- 已知中,,求:角的度数;求三角形面积的最大值
- 如图,连接平行四边形的一个顶点至、边的中点、,、分别与交于、两点,你能发现、、之间的关系吗?
- 已知,,.是否存在实数,使得.若存在,求出的值,若不存在,说明理由.
- 在∠AOB的OA边上取m个点,在OB边上取n个点(均除O点外),连同O点共m+n+1个点,现任取其中三个点为顶点作三角形,可作的三角形有( )
- 以初速度,抛射角投掷铅球,求铅球上升的最大高度和最大投掷距离.
- 平面上有三个点A,M,N,若∠MAN=90º,则k的值为A.6B.7 C.8D.9
- 定义是向量a和b的“向量积”,它的长度为向量a和b的夹角,若=.
- 如图,已知四边形是等腰梯形,、分别是腰、的中点,、是线段上的两个点,且,下底是上底的2倍,若,,求.
- 如图,已知△ABC中,D、E、F分别是BC、CA、AB的中点,求证:∥;=0.
- 证明:三角形重心与顶点的距离等于它到对边中点的距离的两倍.
- 如图,,.求证:.
- 已知△ABC的三个顶点坐标分别是A,B,C,BD是∠ABC的平分线,求点D的坐标及BD的长.
- 已知A、B、C是直线上的不同的三点,O是外一点,向量满足,记.求函数的解析式;
- 已知点,,.设的平分线与相交于,那么有,其中等于A.2B.C.-3D.-
- 中,、、分别是、、的中点,与交于点,设,.用、表示向量;证明、、三点在同一直线上,且.
- 已知, ,则= A B. C. D.
- 将圆按向量平移得到圆,直线与圆相交于、两点,若在圆上存在点,使.求直线的方程.
- 已知点,,且,,求点,及向量的坐标.
- 如图5,是△的重心,、分别是边、上的动点,且、、三点共线.设,将用、、表示;设,,证明:是定值;记△与△的面积分别为、.求
- 已知在□ABCD中,点A,B,CD的中点为E,将□ABCD按向量a平移,使C点移到原点O.求向量a;求平移后的平行四边
- 已知点,,,.当,,,时,分别求点的坐标.
- 已知ABC中,A,B,C,BC边上的高为AD,求D点和的坐标.
- 把函数y=2x2-4x+5的图象按向量a平移后,得到y=2x2的图象,且a⊥b,,b·c=4,则b=____________.
- 已知一物体在共点力F1=,F2=的作用下产生位移S=,则共点力对物体做的功W为A.B.C.1D.2
- 如图,以原点O和A为两个顶点作等腰直角三角形OAB,∠B=90°,求点B和的坐标.
- 已知△ABC的周长为6,成等比数列,求△ABC的面积S的最大值;的取值范围。
- 若为的内心,且满足,则的形状为A.等腰三角形B.正三角形C.直角三角形D.钝角三角形
- 若过定点A的直线交椭圆+y2=1于不同的两点E、F,且满足=m,求实数m的取值范围.
- 如图,要计算西湖岸边两景点与的距离,由于地形的限制,需要在岸上选取和两点,现测得,,,,,求两景点与的距离.参考数据:
- 已知P是内一点,且满足0,记、、的面积依次为、、,则::等于A.1:2:3B.1:4:9C.::1D.3:1:2
- 已知角α∈(0,π),向量
- 已知点为内一点,且,则的面积之比等于A.9∶4∶1B.1∶4∶9C.3∶2∶1D.1∶2∶3
- 已知直线ax+by+c=0与圆:x2+y2=1相交于A、B两点,且|
- 在四边形ABCD中, BD是它的一条对角线,且,,.⑴若△BCD是直角三形,求的值;⑵在⑴的条件下,求.
- 如图所示,设A为△ABC所在平面外一点,HD=2CH,G为BH的中点试用
- 已知P是△ABC所在平面外一点,D是PC的中点,若
- 已知点P在第一象限内,以P为圆心的圆过点A和B,线段AB的垂直平分线交圆P于C、D两点,且|CD|=210.求直线CD的方程;
- 已知点P是圆F1:2+y2=8上任意一点,点F2与点F1关于原点对称.线段PF2的中垂线m分别与PF1、PF2交于M、N两点.求点M的轨迹C的方
- 已知圆x2+y2=9,从这个圆上任一点P向x轴作垂线PP′,点P′为垂足,点M在PP′上,并且
- 如图,四面体O-ABC中,
- 在正三棱柱ABC-A1B1C1中,D是CC1的中点,F是A1B的中点,且
- 在矩形ABCD中,以DA所在直线为x轴,以DA中点O为坐标原点,建立如图所示的平面直角坐标系.已知点B的坐标为,E、F为AD的两个三等分点,AC和BF
- 已知四棱锥P-ABCD中,底面ABCD为菱形,∠ABC=60°,PA⊥平面ABCD,E为BC中点,求证:AE⊥PD.
- 在平行六面体ABCD-A1B1C1D1中,用向量
- 已知两定点M,N,动点P满足|
- 在△ABC中,已知
- 已知向量
- 已知空间四点O,A,B,C,若直线AB上的一点H满足AB⊥OH,求点H的坐标.若平面ABC上
- 在边长为1的正方形ABCD中,E为AB的中点,P为以A为圆心,AB为半径的圆在正方形内的圆弧上的任意一点,设向量
- 如图,已知线段AB、BD在平面α内,BD⊥AB,线段AC⊥α,如果AB=2,BD=5,AC=4,则C、D间的距离为______.
- 如图,在△ABC中,AD⊥AB,
- 已知在一个120°的二面角的棱上有两个点A、B,AC、BD分别是在这个二面角的两个半平面内且垂直于AB的线段,又AB=4cm,AC=6cm,BD=8cm,则CD
- 设
- 已知O为坐标原点,点A与点B关于x轴对称,
- 如图,已知点A和单位圆上半部分上的动点B.若
- 已知A、B、C是直线l上的不同三点,O是l外一点,向量
- 如下图所示,在△ABO中,
- 给定两个长度为1的平面向量
- 已知点G是△ABC的重心,
- 已知向量a=,b=,且a,b满足|ka+b|=3|a-kb|,求a与b的数量积用k表示的解析式f(k
- 已知
- 在△ABC中,已知AB、BC、CA的长分别为c、a、b,利用向量方法证明:b2=a2+c2-2accosB.
- 已知平面向量
- 如图,AB是半圆O的直径,C,D是弧AB三等分点,M,N是线段AB的三等分点,若OA=6,则
- 在△ABC中,|
- 如图所示,在平行六面体ABCD-A1B1C1D1中,M为A1C1与B1D1的交点.若
- 已知圆心角为120°的扇形AOB的半径为1,C为弧AB的中点,点D、E分别在半径OA、OB上.若CD2+CE2+DE2=269,则OD+OE的最大值是_____
- 已知△ABC的面积为1,在△ABC所在的平面内有两点P、Q,满足
- 已知P是△ABC所在平面内任意一点,且
- 已知向量
- 已知向量
- 已知圆C的圆心在直线3x-y=0上且在第一象限,圆C与x轴相切,且被直线x-y=0截得的弦长为2
- 设四边形ABCD中,有
- 已知△ABC的边AB边所在直线的方程为x-3y-6=0,M满足
- 已知向量
- 若
- 已知向量
- 如图所示,点A,B,C是圆O上的三点,线段OC与线段AB交于圆内一点,若
- △ABC中,M为边BC上任意一点,N为线段AM上一点,且AM=3AN,又AN=λAB+μAC,则λ+μ的值为A.12B.13C.14D.1
- 已知△ABC为等边三角形,AB=2.设点P,Q满足
- 在△ABC中,a,b,c分别为∠A、∠B、∠C、的对边,若向量m=(a-b,1)和n=(b-c,1)平行,且sinB=45,当△ABC的面积为32时,则b=(
- 与直线l垂直的向量称为直线l的一个法向量,直线2x+4y+3=0的一个法向量为η=
- 已知△AOB,点P在线段AB上,已知OP=mOA+4nOB,则mn的最大值为______.
- 已知直线l的倾斜角为45°,下列可以作为直线l方向向量的是A.B.C.D.
- 已知向量a,b满足|a|=1,|b|=2,|a|-|b|=2则等于|a|+|b|=______.
- 已知直线x+y-k=0与圆x2+y2=4交于不同的两点A、B,O是坐标原点,且有|OA+OB|≥33|AB|,那么k的取值范围是A.(3,+∞
- 已知点G是△ABC的重心,且6sinA•GA+4sinB•GB+3sinC•GC=O,则cosC=______.
- 已知O为原点,若点A、B的坐标分别为、,a∈R+,当点P在线段AB上,且AP=tAB,,则OA•OP的最大值是A.aB
- 在平面直角坐标系xOy中,已知圆C经过点A和点B,且圆C总被直线x+2y-6=0平分其面积,过点P且斜率为k的直线与圆C相交于不同
- 已知△ABC的外接圆圆心为O,BC>CA>AB.则A.OA•OB>OA•OC>OB•OCB.OA•OB>OB•OC>OC•OAC.OC•OB>OA•OC
- 若向量a=(1,1),b=(1,-1),c=(-1,2),用a,b表示c=______.
- 在△ABC中,OA=(2cosα,2sinα),OB=(3cosβ,3sinβ),OA•OB=-3,则△ABC面积为A.32B.3C.33D.332
- 设P为等边△ABC所在平面内的一点,满足CP=CB+2CA,若AB=1,则PA•PB的值为A.4B.3C.2D.1
- 坐标平面上质点沿方向u=(1,2)前进,现希望在此平面上设置一直线l,使质点碰到直线l时,依据光学原理反射,并经反射后沿方向v=(-2,1)
- 已知平面向量a=,b=若已知a⊥b,求tanx的值若已知f=a•b,求f的最大值及取得最大值的x的取值
- 已知定理:“如果两个非零向量e1,e2不平行,那么k1e1+k2e2=0的充要条件是k1=k2=0”.试用上述定理解答问题:设非零向量e1与e
- 设D、E、F分别是△ABC的三边BC、CA、AB上的点,且DC=2BD,CE=2EA,AF=2FB,若AD+BE+CF=λBC,则λ=______.
- 已知平面上直线l的方向向量d=,点O和Al上的射影分别是O1和A1,则|O1A1|=______.
- 已知点A,B(12,-32),O为坐标原点,若α=π6时,不等式|AB|≥2|OB|有解,求实数λ的取值范围;若
- 在直角坐标系xOy中,设OB=,OC=,则线段BC中点M的轨迹方程是______.
- 对任意非零向量a、b,求证:|a|-|b|≤|a±b|≤|a|+|b|.
- 已知四边形ABCD的三个顶点A,B,C,且BC=2AD,则顶点D的坐标为A.(2,72)B.(2,-12)C.(3,2
- 已知在平面直角坐标系中,O,M,N,Q,动点P,满足0≤OP•OM≤1,0≤OP•ON≤1.则OP•OQ的最
- 已知O为原点,OQ=(-2+2cosθ,-2+2sinθ)(0≤θ<2π),动点P在直线2x+2y=1上运动,若从动点P向Q点的轨迹引切线,则所引切线长的最小值
- 将圆x2+y2+2x-2y=0按向量.a=平移得到圆O,直线 l与圆O相交于A、B两点,若在圆O上存在点C,使.OA+.OB+.OC=.0且.OC=
- 在△ABC中,AC=10,过顶点C作AB的垂线,垂足为D,AD=5,且满足AD=511DB.求|AB-AC|;存在实数t≥1,使得向量x=AB+tA
- 已知平面上一点P在原坐标系中的坐标为,而在平移后所得到的新坐标系中的坐标为,那么新坐标系的原点O′在原坐标系中的坐标为A.(
- 在△ABC中,角A,B,C所对的边分别为a,b,c,x=,y=,若x⊥y.求角B;若b=3,求a+c的最大值.
- 在△ABC中,AC=6,BC=7,cosA=15,O是△ABC的内心,若OP=xOA+yOB,其中0≤x≤1,0≤y≤1,则动点P的轨迹所覆盖的面积为_____
- 已知D是△ABC边BC延长线上一点,记AD=λAB+(1-λ)AC.若关于x的方程2sin2x-sinx+1=0在[0,2π)上恰有两解,则实数λ的取
- 若d=(2,1)是直线l的一个方向向量,则l的倾斜角的大小为______
- 已知向量a=(sinx,-1),b=(cosx,2),若a∥b,则cosx-sinxcosx+sinx=______.
- 过椭圆x2+4y2=4的右焦点F作直线l交椭圆于M、N两点,设|MN|=32;求直线l的斜率;设M、N在椭圆右准线上的射影分别是M1、N1,求MN•
- 已知动点P在椭圆x225+y224=1上,若A点坐标为,M是平面内任一点,|AM|=1,且PM•AM=0,则|PM|的最小值是A.2
- 若n=是直线l的一个法向量,则l的倾斜角的大小为______.
- 已知以角B为钝角的△ABC的内角A、B、C的对边分别为a、b、c,m=(a,2b),n=(3,-sinA),且m⊥n.求角B的大小;求sinA+3c
- 已知:△ABC为直角三角形,∠C为直角,A,顶点C在x轴上运动,M在y轴上,.AM=12,设B的运动轨迹为曲线E.求B的运动
- 已知点A,B,C不共线,且有AB•BC1=BC•CA3=CA•AB3-2,则有A.|AB|<|CA|<|BC|B.|BC|<|CA|<|AB|C.|AB
- 已知A,B,O为坐标原点,动点M满足OM=mOA+nOB,其中m,n∈R且2m2-n2=2,则M的轨迹方程为______.
- 已知定点A、B,动点M满足:AM•BM等于点M到点C距离平方的k倍.试求动点M的轨迹方程,并说明方程所表示的曲线;当
- 设O中△ABC的外心,AB=a,AC=b,且|a|=|b|,则AO可用a,b表示为A.a-22(a-2+a•b)B.C.13(a+b
- O是锐角△ABC所在平面内的一定点,动点P满足:OP=OA+λ(AB|AB|2Sin∠ABC+,λ∈,则动点P的轨迹一定通过△ABC的______心
- 已知在△ABC中,AB=(2,3),AC=(1,k),且∠A为直角,则k=______.
- 已知力F1=i+2j+3k,F2=-2i+3j-k,F3=3i-4j+5k,若F1、F2、F3共同作用在一个物体上,使物体从点M1移到点M2(3
- 已知双曲线的中心在坐标原点,两个焦点为F1,F2,点P是此双曲线上的一点,且PF1•PF2=0,|PF1|•|PF2|=4,该双曲线的标准
- 已知平面直角坐标系内的两个向量a=,b=,且平面内的任一向量c都可以唯一的表示成c=λa+μb,则m的取值范围是(
- 向量a=,b=,若a•b=35,则sin2θ=______.
- 在锐角三角形ABC中,a,b,c分别是角A、B、C的对边,p=(a+c,b),q=且p⊥q求A的大小;记f(B)=2sin2B+s
- 已知在梯形ABCD中,AB∥DC,且A、B、D三点的坐标分别为、、,则顶点C的横坐标的取值范围是______.
- 已知椭圆C:x2a2+y2b2=1的离心率为22,以原点为圆心,椭圆的短半轴长为半径的圆与直线x-y+2=0相切.求椭圆C的方程;若过
- 类比命题:“若A、B、C三点不共线,D是线段AB的中点,则CD=12(CA+CB)”,给出空间中的一个恰当正确命题:______.
- 已知O为△ABC所在平面外一点,且OA=a,OB=b,OC=c,OA,OB,OC两两互相垂直,H为△ABC的垂心,试用a,b,c表示OH.
- 若平面向量a,b满足|a+b|=1,a•b=-3,b=,则a=______.
- 设a,b,c为单位向量,且a⊥b,则(a-c)•(b-c)的最小值是A.-2B.1-2C.2-2D.-1
- 在四边形ABCD中,AB=DC且|AB|=|AD|,则四边形的形状为______.
- 设O是坐标原点,F是抛物线y2=4x的焦点,A是抛物线上的一点,FA与x轴正向的夹角为60°,则|FA|=A.4B.3C.5D.6
- 在△ABC中,三边长AB=7,BC=5,AC=6,则AB•BC的值为A.19B.-14C.-18D.-19
- 在斜坐标系xOy中,∠xOy,.e1,.e2分别是Jc轴,轴方向的单位向量.对于坐标平面内的点P,如果.OP=x.e1+y.e2,则Ge,叫做P的斜坐标.
- 已知椭圆C:x2a2+y2b2=1的离心率为63,其左、右焦点分别是F1、F2,点P是坐标平面内的一点,且|OP|=102,PF1•PF2=12(
- 已知△ABC的面积S满足3≤S≤33,且AB•BC=6,AB与BC的夹角为α.求α的取值范围;若函数f=sin2α+2sinαcosα+3co
- 在△OAB中,已知OA=4,OB=2,点P是AB的垂直一部分线l上的任一点,则OP•AB=A.6B.-6C.12D.-12
- 设a,b是两个互相垂直的单位向量,已知向量m=ka+b,n=a+kb,(k>0)且向量m与n夹角θ的余弦值为f(k),求f的表达式.求f
- P是△ABC所在平面上一点,若PA•PB=PB•PC=PC•PA,则P是△ABC的______心.
- 已知P为△ABC内一点,且3AP+4BP+5CP=0.延长AP交BC于点D,若AB=a,AC=b,用a、b表示向量AP、AD.
- 已知向量a=,b=,若函数f=a•b在区间上是增函数,则实数t的取值范围是A.[5,+∞)B.(5,+∞
- 若A、B、C是平面内以O点为圆心,半径为1的圆上不同三个点,且OA⊥OB,又存在实数m,n,使OC=mOA+nOB,则实数m,n的x关系为A.m2+n2
- 求证:A,B,C,D为顶点的四边形是一个矩形.
- 已知椭圆C的方程为x24+y23=1,过C的右焦点F的直线与C相交于A、B两点,向量m=(-1,-4),若向量OA-OB与m-OF共线,则直线AB的方程是(
- 已知a,b,c是△ABC的内角A,B,C的对边,其中c>b.若a=4,cosA=-14.D为BC边上一点,且AD•BC=0,AB•AD=13564.求:|
- 在△ABC中,若AB•AC=AB•CB=2,则边AB的长等于______.
- 已知向量a=,b=.若a∥b,求tanθ的值;若|a|=|b|,且0<θ<π,求角θ的大小.
- 在三角形ABC所在平面内有一点H满足HA2+BC2=HB2+CA2=HC2+AB2,则H点是三角形ABC的______.
- 设向量a=,b=,且a∥b,则x为______.
- 已知向量a与b的夹角为60°,|a|=3,|b|=2,c=3a+5b,d=ma-b.求a•b的值;若c⊥d,求实数m的值.
- 已知向量a=(sinx,3cosx),向量b=(sinx,sinx),求函数f=a•b在区间[π4,π2]上的最大值是A.1B.1+32C.32D
- 设线段AB的两个端点A,B分别在x轴、y轴上滑动,且|AB|=5,若OM=35OA+25OB,则点M的轨迹方程为A.x29+y24=1B.y29+x24
- 在平面直角坐标系xOy中,已知A,B两点,若点C在∠AOB的平分线上,且|.|OC|=10,则点C的坐标是______.
- 把同一平面内所有不小于1,不大于2的向量的起点,移到同一点O,则这些向量的终点构成的图形的面积等于______.
- 已知A,B,点C、点D满足|AC|=4,AD=12(AB+AC),则点C的轨迹方程是______;点D的轨迹方程是______.
- 在△ABC中,已知P是BC边上一点,BP=2PC,AP=λAB+23AC,则λ=______.
- △ABC的外接圆的圆心为O,半径为1,AO=12(AB+AC),且|OA|=|AB|,则BA•BC为A.1B.4πC.2D.4
- 请先阅读:设平面向量a=,b=,且a与b的夹角为θ,因为a•b=|a||b|cosθ,所以a•b≤|a||b|.即a1b1+a2b2
- 已知空间三点A,B,C求:求以向量AB,AC为一组邻边的平行四边形的面积S;若向量a分别与向量AB,A
- 设a=(x1,y1),b=(x2,y2),若|a|=2,|b|=3,a•b=-6,则x1+y1x2+y2=A.23B.32C.-23D.-32
- 设G是△ABC的重心,且(sinA)•GA+(sinB)•GB+(sinC)•GC=0,则B的大小为A.45°B.60°C.30°D.15°
- 在△ABC中,若(AB+AC)•(AB-AC)=0,则△ABC为A.等边三角形B.直角三角形C.等腰三角形D.等腰直角三角形
- 在△ABC中,D是BC边上的中点,则3AB+2BC+CA等于A.ADB.BCC.0D.2AD
- 已知抛物线y2=2px,过点E的直线交抛物线于点M、N,交y轴于点P,若PM=λME,PN=μNE,则λ+μ=A.1B.-
- 已知点P为双曲线x2a2-y2b2=1(a>0,b>0)的右支上一点,F1、F2为双曲线的左、右焦点,若(OP+OF2)•F2P=0(O为坐标原点),且△PF1
- 已知OA=(1,0,2),OB=(2,2,0),OC=(0,1,2),点M在直线OC上运动,当MA•MB取最小时,求点M的坐标.
- 已知F1,F2为椭圆x2a2+y2b2=1的两个焦点,P为椭圆上一点且PF1•PF2=c2,则此椭圆离心率的取值范围是A.[33,
- 在直角坐标平面内,已知a=(x+2,y),b=(x-2,y),若|a|-|b|=2,则点P所在曲线的方程为______.
- 已知P为椭圆9x2+2y2=18上任意一点,由P向x轴作垂线段PQ,垂足为Q,点M在线段PQ上,且PM=2MQ,设点M的轨迹为曲线E.求曲线E的方程;(Ⅱ
- 已知中心在原点,长轴在x轴上的椭圆的一个顶点是点,离心率为66,左、右焦点分别为F1和F2.求椭圆方程;点M在椭圆上,求△MF1F2面积的
- 已知平面上两定点M、N,P为一动点,满足.MP-.MN=|.PN|-|.MN|.求动点P的轨迹C的方程;若A、B是轨迹C上的
- 在平面直角坐标系xOy中,OA=(4,0),OB=(1,3),点C满足∠OCB=π4.求OB•BA;证明:|OC|=22sin∠OBC;是否存
- 已知定点A,两动点B、C分别在y轴和x轴上运动,且满足AB•BC=0,CQ=2BC,求动点Q的轨迹E的方程;过点G的直线l与轨
- 已知向量a=(sinx,2cosx),b=(53cosx,sinx),函数f(x)=a•b+|a|2+32.当x∈[π6,π3]时,求函数f的值域;
- 设OABC是四面体,G1是△ABC的重心,G是OG1上一点,且OG=3GG1,若OG=xOA+yOB+zOC,则为______.
- 已知向量a,b满足|a|=2,|b|=1,a与b的夹角为π3.求|a+2b|;若向量a+2b与ta+b垂直,求实数t的值.
- 设平面向量a,b满足|a|=|b|=1,a•b=0,x=a+(t2-k)b,y=-sa+tb,其中,k,t,s∈R.若x⊥y,求函数关系式s=f;(
- 已知向量a=(12cosx,3sinx),b=(4cosx,2cosx),函数f(x)=a•b+k(k∈R)求f的单调增区间;若x∈[0,π]
- 已知抛物线y2=4x,点F是抛物线的焦点,点M在抛物线上,O为坐标原点.当FM•OM=4时,求点M的坐标;求|OM||FM|的最大值.
- 已知直线l过点P,斜率为k,圆Q:x2+y2-12x+32=0.若直线l和圆相切,求直线l的方程;若直线l和圆交于A、B两个不同的点,问是
- 定义平面向量之间的一种运算“⊗”如下,对任意的a=,b=,令a⊗b=mq-np,给出下面五个判断:①若a与b共线,则a⊗b=0;②若a与b垂
- 已知等边三角形ABC中,P在线段AB上,且AP=λAB,若CP•AB=PA•PB,求实数λ的值.
- 已知下列命题:|a|2=a2;a•ba2=ba;(a•b)2=a2•b2;(a-b)2=a2-2a•b+b2;a∥b⇔存在唯一的实
- 已知△ABC中,|AB|•|AC|=4且0≤AB•AC≤23,设AB和AC的夹角θ.求θ的取值范围;求函数y=2sin2θ-3sin2θ的最大值与最
- 已知直线l:y=kx+b,曲线M:y=|x2-2|.若k=1,直线与曲线恰有三个公共点,求实数b的值;若b=1,直线与曲线M的交点依次为A,B,C,
- 在△ABC中,角A,B,C所对边分别为a,b,c,且向量m=,n=,满足m•n=sin2C.求角C的大小;(2
- 已知向量a=(sinα,-12),b=(1,2cosα),a•b=15,α∈(0,π2)求sin2α及sinα的值;设函数f(x)=5sin(-2x
- 已知圆O:x2+y2=4与x轴正半轴交于点A,在圆上另取两点B,C,使∠BAC=π4,平面上点G满足GA+GB+GC=0,求点G的轨迹方程.
- 有向线段p0pn的n等分点从左到右依次为p1,p2,…pn-2,pn-1,记p0pi=λipipn(i=1,2,3,…n-1),n≥2,则λ1•λ2…λn-1=
- 设A,B,C是半径为1的圆上三点,若AB=3,则AB•AC的最大值为A.3+3B.32+3C.3D.3
- 已知空间三点A,B,C,则以AB,AC为边的平行四边形的面积是______.
- 设i,j是平面直角坐标系内x轴、y轴正方向上的单位向量,且AB=4i+2j,AC=3i+4j,则△ABC面积的值等于______.
- 在平面直角坐标系中,i,j分别是与x,y轴正方向同向的单位向量,平面内三点A、B、C满足AB=i+j,AC=2i+mj.若A、B、C三点构成直角三角形,则实数m
- 已知圆C1的圆心在坐标原点O,且恰好与直线l1:x-y-22=0相切.求圆的标准方程;设点A为圆上任意一点,AN⊥x轴于N,若动点Q满
- 已知向量a=(2cosx,sinx),b=(cosx,23cosx),函数f=a•b+1.求函数f的单调递增区间.在△ABC中,a,b,
- 下列说法正确的是若直线l的倾斜角为α,则0≤α<π;若直线l的一个方向向量为d=(u,v),则直线l的斜率k=vu;若直线l的方程为a
- 设a,b,c为单位向量,a,b的夹角为60°,则•c的最大值为______.
- 已知向量a=(3,-1),b=(12,32).求证:向量a⊥b;若存在不同时为零的实数k、θ和λ,使x=a+(sinθ-3λ)b,y=-k4a+si
- 已知向量AB=(1,m),AC=,m∈R,则△ABC面积的最小值为A.1B.2C.12D.不存在
- 已知平面上直线l的方向向量e=(45,-35),点O和A在l上的射影分别是O1和A1,则O1A1=λe,其中λ等于______.
- 在△ABC中,D为AC的中点,若O是中线BD上的一个动点,且|BD|=6,求OB•(OA+OC)的最小值;若O是△ABC的外心,且|BA|=2,|B
- 已知A、B是直线l同侧的两个定点,且到l的距离分别为3和2,点P是直线l上的一个动点,则|PA+3PB|的最小值是______.
- 已知向量a=,b=,且x∈[π2,π].求a•b及|a+b|;求函数f=a•b+|a
- 设向量a与b的夹角为θ,定义a与b的“向量积”:a×b是一个向量,它的模|a×b|=|a|•|b|•sinθ,若a=(-3,-1),b=(1,3),则|a×b|
- 在△ABC中,若CA=a,CB=b,求证:S△ABC=12(|a||b|)2-(a•b)2;若CA=,CB=,求证:△A
- 在△ABC中,已知AB•CA=152,|AB|=3,|AC|=5,则∠BAC=______.
- 已知A、B、C的坐标分别是A,B,C.若|AC|=|BC|,求角α 的值;若AC•BC=-1,求2sin
- 已知向量OP1、OP2、OP3满足OP1+OP2+OP3=0,|OP1|=|OP2|=|OP3|=1.求证:△P1P2P3是正三角形.
- 在△ABC中,∠A=90°,AB=1,AC=2,设点P,Q满足AP=λAB,AQ=(1-λ)AC,λ∈R,若BQ•CP=-2,则λ=______.
- 已知双曲线x2a2-y2b2=1(a>0,b>0)的离心率为233,焦距为2c,且2a2=3c,双曲线上一点P满足PF1•PF2=2,则
- 已知以角B为钝角的△ABC的内角A、B、C的对边分别为a、b、c,m=(a,2b),n=(1,-sinA),且m⊥n.求角B的大小;求sinA+co
- 已知a=(1,2),b=(-3,2),x=ka+b,y=a-3b.当k为何值时,x⊥y;若x与y的夹角为钝角,求实数k的取值范围.
- x236+y29=1上有两个动点P、Q,E,EP⊥EQ,则EP•QP的最小值为A.6B.3-3C.9D.12-63
- 设a、b、c为非零向量,下列等恒成立的个数有①•c=•b;②[•a-•b]•c=0;③a2-b2=(a
- 已知点M、A、B,且MP=cosθ•MA+sinθ•MB(θ∈R).求点P的轨迹方程;求过Q与中轨迹
- 在边长为6的等边△ABC中,点M满足BM=2MA,则CM•CB等于______.
- 若直线ax+by=1的法向量为,则直线bx-3ay+5=0的倾斜角为______.
- 已知OF=,OG=,|FG|的最小值为1,若动点P同时满足下列三个条件:①|PF|=ca|PE|;②PE=
- 已知空间中两点A,B,若存在点P满足AB=3PB,则点P的坐标为______.
- 已知|a|=1,|b|=2,a与b的夹角为60°.求a+b与a的夹角的余弦值;当|a+tb|取得最小值时,试判断a+tb与b的位置关系,并说明理由.
- 设D、P为△ABC内的两点,且满足AD=15(AB+AC),AP=AD+110BC,则S△APDS△ABC=______.
- 在锐角△ABC中,|AB|=2,|CA|=5,S△ABC=532,那么AB•CA=______.
- 在△ABC中,a,b,c分别是角A、B、C所对的边,且3aBC+4bCA+5cAB=0,则a:b:c=______.
- 平面上O,A,B三点不共线,设OA=a,OB=b,则△OAB的面积等于A.|a|2|b|2-(a•b)2B.|a|2|b|2+(a•b)2C.12|a|
- 已知直线l的方向向量为a=,且过直线l1:2x+y+1=0和直线l2:x-2y+3=0的交点.求直线l的方程;若点P是曲线y
- 在锐角三角形ABC中,已知|AB|=4,|AC|=1,△ABC的面积为3,则AB•AC的值为______.
- 已知椭圆C:x2a2+y2b2=1的离心率为63,过右焦点F且斜率为1的直线交椭圆C于A,B两点,N为弦AB的中点,O为坐标原点.求直线ON
- 已知向量a=(sinA+B2,cosA-B2-324),b=(54sinA+B2,cosA-B2+324),其中A、B是△ABC的内角,a⊥b.求tanA
- 已知O、A、B是平面上的三个点,直线AB上有一点C,满足2AC+CB=0,且OC=λOA+uOB,则λ+u的值为______.
- 在直角梯形ACBD中,AB∥CD,AD⊥AB,∠B=45°,AB=2CD=2,M为腰BC的中点,则MA•MD=A.1B.2C.3D.4
- 已知A,B,C是平面上不共线的三点,O为平面ABC内任一点,动点P满足等式OP=13[OA+OB+OC],则点
- 已知A、B,则|AB|=______.
- 已知非零向量a与b,定义|a×b|=|a||b|sinθ,其中θ为a与b的夹角.若a+b=(3,-6),a-b=(3,-2),则|a×b|=______.
- 已知A、B、C是直线l上的三点,向量OA、OB、OC满足OA-OB+1-xaxOC=o,求y=f的表达式;
- 已知两点M,N若直线3x-4y+m=0上存在点P满足PM•PN=0,则实数m的取值范围是A.B.(-∞
- 已知P是边长为2的正△ABC的边BC上的动点,则AP•(AB+AC)A.最大值为8B.是定值6C.最小值为2D.是定值2
- 在△ABC中,BC=2,AC=2,AB=3+1.设BP=(1-λ)BA+λBC(λ>0).求AB•AC;证明:A、P、C三点共线;当△ABP的
- 设x,y∈R,i,j、为直角坐标系内x、y轴正方向上的单位向量,若a=xi+j,b=xi+j且a2+b2=16.求点M的轨迹
- 已知:O是△ABC所在平面上的一点且满足:OA+sinAsinA+sinB(OB-OA)+sinBsinB+sinA(OC-OA)=0,则点O在A.AB
- 在平面直角坐标系xOy中,点F与点E关于原点O对称,M是动点,且直线EM与FM的斜率之积等于-12.设点M的轨迹为曲线C,经过点(0,2)且斜率为k
- 已知向量a=,b=,且a和b共线,则|a+b|的值为______.
- 已知△ABC是等腰直角三角形,∠C=90°,AB=22,则AB•BC=A.4B.-4C.2D.-8
- 已知a=(sinx,x),b=(1,-cosx),f(x)=a•b且x∈,记f在内零点为x0.求当f取得极大值时,a与
- 已知向量OA=(2,0),OC=AB=(0,1),动点M到直线y=1的距离等于d,并且满足OM•AM=k(CM•BM-d2)(其中O是坐标原点,k∈R
- 过点Q作圆C:x2+y2=r2的切线,切点为D,且QD=4.求γ的值;设P是圆C上位于第一象限内的任意一点,过点P作圆C的切
- 已知a,b满足|a|=|b|=1,且a与b之间有关系式|ka+b|=3|a-kb|,其中k>0.用k表示a•b;求a•b的最小值,并求此时a与b的夹
- 设点A,B,若点P在直线AB上,且|AB|=2|AP|,则点P的坐标为A.B.C.或D.
- 已知△ABC的三个顶点A,B,C及平面内一点P满足:PA+PB+PC=0,若实数λ满足:AB+AC=λAP,则λ的值为A.3B.23C.2D.8
- 已知椭圆x2a2+y2b2=1(a>b>0)的左焦点F1,O为坐标原点,点P在椭圆上,点Q在椭圆的右准线上,若PQ=2F1O,F1Q=λ(F1P|F1P|+F1
- 已知向量m=,n=,若m⊥n,求|m-n|设f(x)=m•n,若f(α)=35,求f(2α+3π4)的值.
- 设向量a=(mx+m-1,-1),b=(x+1,y),m∈R,且a⊥b把y表示成x的函数y=f;若tanA,tanB是方程f+2=0的两
- 设F为抛物线x2=8y的焦点,点A,B,C在此抛物线上,若FA+FB+FC=0,则|FA|+|FB|+|FC|=______.
- 在△ABC中,若I是△ABC的内心,AI的延长线交BC于D,则有ABAC=BDDC称之为三角形的角平分线定理,现已知AC=2,BC=3,AB=4,且AI=xBC
- 已知△ABC中,AB=AC=2BC=4,求:BA•AC的值顶角A的正弦,余弦和正切值.
- 在椭圆x22+y2=1上,对不同于顶点的任意三个点M,A,B,存在锐角θ,使OM=cosθOA+sinθOB.则直线OA与OB的斜率之积为______.
- 点O为非等边△ABC的外心,P为平面ABC内一点,且有OA+OB+OC=OP,则点P为△ABC的A.内心B.垂心C.外心D.重心
- 已知A、B、C且AP=-2PB证明:△ABC是等腰直角三角形求cos∠APC.
- 已知向量a=(cos2x,sin2x),b=(3,-1),设f(x)=a•b.求f的最大值和最小正周期;若锐角α满足f=1,求tan2α
- 已知向量a=(3cosα,3sinα),b=(4cosβ,4sinβ),且|a+2b|=7,求向量a、b的夹角θ;求(2a-4b)•(3a+b)的值
- 已知向量a=(cosx,sinx),b=(2,2),若a•b=85,且π4<x<π2.求cos(x-π4)和tan(x-π4)的值;求sin2x(1
- 设a=(cos(θ-π6),sin(θ-π6)),b=(2cos(θ+π6),2sin(θ+π6)).若向量(2tb+7a)与向量(b+ta)的夹角为锐角
- 在平面直角坐标系xOy中,点A、B、C.求以线段AB、AC为邻边的平行四边形ABCD的顶点D的坐标.在第
- 平面内有四个向量a、b、x、y,满足a=y-x,b=2x-y,a⊥b,|a|=|b|=1用a、b表示x、y;若x与y的夹角为θ,求cosθ的值.
- 已知点M,N的坐标分别为M(2cos2x,1),N(1,23sinxcosx+a),(x∈R,a∈R,a是常数),且y=OM•ON.求y关于
- 平面直角坐标系xOy中,已知向量AB=(6,1),BC=(x,y),CD=(-2,-3),且AD∥BC.求x与y之间的关系式;若AC⊥BD,求四边形
- 已知坐标平面内O为坐标原点,OA=(1,5),OB=(7,1),OM=(1,2),P是线段OM上一个动点.当PA•PB取最小值时,求OP的坐标,并求cos∠AP
- 设平面内有一四边形ABCD和点O,OA=a,OB=b,OC=c,OD=d,且a+2c=b+2d,则四边形ABCD是______.
- 如果△ABC的顶点坐标分别是A,B,C,则重心的坐标是A.B.C.D.
- 在△ABC中,AB=c,BC=a,CA=b,给出下列命题①若a•b>0,则△ABC为钝角三角形②若a•b=0,则△ABC为直角三角形③若a•b=b•c,则△AB
- 已知集合M={1,2,3},N={1,2,3,4},定义函数f:M→N且点A),B),C);若△ABC的内切圆圆心为D
- 在边长为1的正三角形ABC中,设BC=2BD,CA=3CE则AD•BE=______.
- 已知A,B,C,D四点,则四边形ABCD是A.梯形B.矩形C.菱形D.正方形
- 已知作用于A点的三个力F1=,F2=,F3=,且A,则合力F=F1+F2+F3的终点坐标为A.B.(
- 设A,B,C,D四点的坐标依次为,,,,则四边形ABCD是______.
- 在△ABC中,∠A=90°,且AB•BC=-2,则边AB的长为______.
- 已知两点A,B,O为坐标原点,点C在第二象限,且∠AOC=135°,设OC=-OA+λOB(λ∈R),则λ的值为______.
- 在平面内,已知P是定线段AB外一点,满足下列条件:|PA|-|PB|=2,|PA-PB|=25,PA•PB=0则△PAB的内切圆面积为A.(2+3
- 已知向量a,b,c,d及实数x,y且|a|=|b|=1,c=a+xb,d=-ya+b,a⊥b,c⊥d.求y关于x的函数关系式y=f;(2
- 在平面内,已知P是定线段AB外一点,满足下列条件:|PA|-|PB|=2,|PA-PB|=25,PA•PB=0.则△PAB的面积为A.3B.4C.
- 已知抛物线y=2x2-4x,按向量a平移后,抛物线的顶点在坐标原点上,则a=______.
- 已知圆O:x2+y2=4,,点M且a>0.若过点M有且只有一条直线/与圆O相切,求a的值及直线l的斜率,若a=2,AC、BD是
- 直线l1:y=mx+1,直线l2的方向向量为a=,且l1⊥l2,则m=A.12B.-12C.2D.-2
- 已知直线x+y=a与圆x=2cosθy=2sinθ(θ∈R)交于A、B两点,且|OA+OB|=|OA-OB|,其中O为坐标原点,则实数a的值等于A.2B
- 已知两点M,N,点P为坐标平面内的动点,满足|MN||MP|+MN•NP=0,则动点P到两点M,B的距离
- 已知△ABC的三个顶点A、B、C及△ABC所在平面内的一点P,若PA+PB+PC=0若实数λ满足AB+AC=λAP,则实数λ等于______.
- 在△ABC中若点M在边BC上,且BM=tMC,求证:AM=11+tAB+t1+tAC;若点P是△ABC内一点,连接BP、CP并延长交AC、AB于D、
- △OAB中,|AB|=10点C为直线AB上一点,且AC=tAB,(t∈R),试用OA、OB表示OC.点C1、C2,…,C9依次为线段AB的10等分点
- 已知向量a=(3,-1),b=(12,32).求证:a⊥b;是否存在最小的常数k,对于任意的正数s,t,使x=a+(t+2s)b与y=-ka+(1t
- 已知a=(1,2),b=(-3,2)求|2a-4b|;若ka+2b与2a-4b平行,求k的值;若ka+2b与2a-4b的夹角是钝角,求实数k的
- 在△ABC中,BC=2,AC=2,AB=3+1.求AB•AC的值;若BP=(1-λ)BA+λBC(λ>0),且△ABP的面积为3+14,求实数λ的值
- 设两个非零向量e1和e2不共线.如果AB=e1+e2,BC=2e1+8e2,CD=3e1-3e2,求证:A、B、D三点共线;若|e1|=2,|e2|
- 设O是△ABC内部一点,且.OA+.OC=-2.OB,则△AOB与△AOC的面积之比为A.2:1B.1:2C.1:1D.2:5
- 设O为坐标原点,A,B,C,若四边形OABC是平行四边形,求∠AOC的大小;在的条件下,设AB中点为D,OD与A
- 在△ABC中,点£是直线BC上一点,且3AE=AC+2AB,则S△ABE:S△AECA.14B.23C.12D.32
- 设O为△ABC的外心,且OA+OB+2OC=0,则△ABC的内角C=A.π6B.π4C.π3D.π2
- 在四边形ABCD中,若AC•BD=0,AB=DC,则四边形ABCD的形状是A.矩形B.菱形C.正方形D.直角梯形
- 若△ABC所在平面内一点P满足AP=12AB+12AC-16BC,则点P一定在A.△ABC的一边上B.△ABC的一顶点处C.△ABC的外部D.△ABC的
- 在直角坐标系中,角φ、2x的终边分别与单位圆交于A、B两点,函数f(x)=OA•OB,若f(x)≤f(π6)对x∈R恒成立.求函数f(x
- 设函数f=a•b,其中向量a=,b=,x∈R,且f=2.求实数m的值;求函数f的最小值.
- 已知向量a=(1,sinx),b=(sin2x,cosx),函数f(x)=a•b,x∈[0,π2].求f的最小值和单调区间;若f(α)=34,
- 定义域为[a,b]的函数y=f图象的两个端点为A、B,M是f图象上任意一点,其中x=λa+b∈[a,b],已知向量ON=λOA+
- 已知△OAB的顶点坐标为O,A,B,点P的横坐标为14,且OP=λPB,点Q是边AB上一点,且OQ•AP=0.求实数λ的值
- 已知向量a,b,c满足|a|=1,|a-b|=|b|,(a-c)•(b-c)=0.若对每一确定的b,|c|的最大值和最小值分别为m,n,则对任意b,m-n的最小
- 在△ABC中,角A,B,C的对边分别为a,b,c,且向量m=,n=,且m‖n,A为锐角.求角A的大小
- 已知向量a=(1,2),b=(-3,4).若(3a+b)∥(a-kb),求实数k的值;若a⊥(ma+b),求实数m的值.
- 过点A,且与向量m=垂直的直线方程是______.
- 已知O为坐标原点,A,B,C|OA+OC|=13,且α∈,求α.在条件下,求OB与OC的夹
- 已知AD是△ABC的中线,若∠A=120°,AB•AC=-2,则|AD|的最小值是______.
- 设O为△ABC的外心,且3OA+4OB+5OC=0,则△ABC中的内角C值为A.π6B.π4C.π3D.π2
- 已知向量a=(3,-1),b=(12,32).求证:a⊥b;若x=a+(cosθ-1)b,y=-ma+cosθb且x⊥y.求出实数
- 椭圆x2a2+y2b2=1(a>b>0)的离心率为32,右焦点到直线x+y+6=0的距离为23,过M的直线l交椭圆于A,B两点.求椭圆的方程;
- 设锐角三角形ABC的内角A,B,C的对边分别为a,b,c,若m=(b,2csinB),n=(cosB,sinC),且m∥n.求B的大小;求sinA+
- 已知向量a=,向量b=,则a•b=A.sin2αB.-sin2αC.cos2αD.1
- 已知二次函数f=x2+mx+n对任意x∈R,都有f=f成立,设向量a=,b=,c=
- 把点A按向量a=平移到A′,则A′的坐标是______.
- 已知O为△ABC所在平面内一点,满足|OA|2+|BC|2=|OB|2+|CA|2=|OC|2+|AB|2,则点O是△ABC的A.外心B.内心C.垂心D
- 把直线x-2y+c=0按向量a=平移,得到的直线与圆x2+y2+2x-4y=0相切,则c等于A.±5B.10或0C.±5D.13或3
- 直线l:y=k+2与圆C:x2+y2-2x-2y=0相切,则直线l的一个方向向量v=A.B.C.D.(1,1
- 已知△ABC内接于圆O:x2+y2=1,且3OA+4OB+5OC=0,求△AOC的面积.
- 已知P是椭圆x24+y23=1上的一点,F1、F2是该椭圆的两个焦点,若△PF1F2的内切圆半径为12,则PF1•PF2的值为A.32B.94C.-94
- 已知向量a={sinx,cosx},b={cosx,cosx},(x∈R),已知函数f=a•(a+b)求函数f的最值与最小正周期;求使不
- 在△ABC所在的平面内有一点P,满足PA+PB+PC=AB,则△PBC与△ABC的面积之比是A.13B.12C.23D.34
- △ABC内接于以O为圆心的圆,且3OA+4OB-5OC=0.则∠C=______.
- 设F1是椭圆x24+y2=1的左焦点,O为坐标原点,点P在椭圆上,则PF1•PO的取值范围是______.
- 已知AB=(k,1),AC=(2,4),若k为满足|AB|≤4的整数,则使△ABC是直角三角形的k的个数为A.7B.4C.3D.2
- 已知A为抛物线y=x2上任意一点,直线l为过点A的切线,设直线l交y轴于点B,P∈l,且AP=2PB.当A点运动时,求点P的轨迹方程;求点C(0,1
- 在边长为1的等边△ABC中,设BC=a,CA=b,则a•b=A.-12B.12C.-32D.32
- 若△ABC三边长AB=5,BC=7,AC=8,则AB•BC等于______.
- 设向量a=(0,1),b=(12,12),则下列结论中不正确的是A.|b|=22B.<a,b>=π4C.a+b与b平行D.a-b与b垂直
- 已知椭圆C:x2a2+y2b2=1(a>b>0),过焦点且垂直于长轴的弦长为1,且焦点与短轴两端点构成等边三角形.求椭圆的方程;过点Q的
- 已知向量集合M={a|a=+λ,λ∈R},N={b|b=+λ,λ∈R},则M∩N=______.
- 已知直线l1:x-2y+3=0,l2过点,并且它们的方向向量a1,a2满足a1•a2=0,那么l2的方程是______.
- 在直角坐标平面中,△ABC的两个顶点为A,B,平面内两点G,M同时满足:①OC=3OG;②|MA|=|MB|=|MC|;③
- 已知向量a=,b=,a与b的夹角为60°,则直线xcosα-ysinα+1=0与圆2+(y+
- 已知△ABC顶点的直角坐标分别为A,B,C若c=5,求sin∠A的值;若∠A是钝角,求c的取值范围.
- 四边形ABCD是梯形,AB•AD=0,AB与CD共线,A,B是两个定点,其坐标分别为,,C、D是两个动点,且满足|CD|=|BC|.
- 已知椭圆E:x2a2+y2b2=1过点P,其左、右焦点分别为F1,F2,且F1P•F2P=-6.求椭圆E的方程;若M,N是直
- 在直角坐标平面中,已知点P1,P2,P3,…,Pn,其中n是正整数.对平面上任一点A0,记A1为A0关于点P1的对
- 已知椭圆C:x22+y2=1的右焦点为F,右准线为l,点A∈l,线段AF交C于点B,若FA=3FB,则|AF|=______.
- 设向量OA=(3,-3),OB=(cosθ,sinθ),其中0≤θ≤π2.若|AB|=13,求tanθ的值;求△AOB面积的最大值.
- 已知△ABC,AB=(cos3x2,-sin3x2),AC=(cosx2,sinx2),其中x∈(0,π2).求|BC|和△ABC的边BC上的高h;
- 已知a=(1,cosx),b=(sinx,-1),函数f(x)=a•b(x∈R)求函数f的单调递增区间;当x∈[0,π]时,求函数f的最
- 已知f(x)=2sin(x+π3),①若向量m=(cosx2,3cosx2),n=(-cosx2,sinx2).且m∥n,求f的值;②在△ABC中,∠A,
- 已知P是圆x2+2=1上的动点,定点A,B,则PA•PB的最大值为A.12B.0C.-12D.4
- 设A,B为圆x2+y2=1上两点,O为坐标原点求证:OA+OB与OA-OB垂直.当∠xOA=π4,∠xOB=θ,θ∈(-π4,π
- 坐标平面中,向量w与向量v=(2,5)互相垂直且等长.请问下列哪些选项是正确的?向量w必为(5,-2)或(-5,2)向量v+w与v-w等长向量
- 己知点P1,P2,若P1P=2PP2,则点P坐标为______.
- 已知关于x的方程ax2+bx+c=0,其中a、b、c都是非零向量,且a、b不共线,则该方程的解的情况是A.至多有一个解B.至少有一个解C.至多有两个解D
- 在平行四边形ABCD中,AB=3,AD=2,∠BAD=60°,E是DC的中点,F是AE的中点,则AE•BF=______.
- 按向量a平移点P到Q,则向量a的坐标是A.B.C.D.
- 经过A,以为方向向量的直线与经过B,以为方向向量的直线相交于点M,其中θ
- 向量m=(a+1,sinx),n=(1,4cos(x+π6)),设函数g=m•n.若x为任意实数,求g的最小正周期;(2
- 在平面直角坐标系xOy中,椭圆x2+y24=1在第一象限的部分为曲线C,曲线C在其上动点P处的切线l与x轴和y轴的交点分别为A、B,且向量OM=O
- 已知向量a=(cosθ,sinθ),b=(cos2θ-1,sin2θ),c=(cos2θ,sin2θ-3).其中θ≠kπ,k∈Z.求证:a⊥b;设f
- 设向量m=(x,y),(x≥0,y≥0),|m|=1,n=(1,3),a=m•n,则T=(a-2a)2+2(a+2a)的最大值为A.8B.7C.42D.
- 在平面直角坐标系xOy中,已知点A(65,0)),P,其中0<α<π2.若cosα=56,求证:PA⊥PO;若|PA|=|PO
- 已知|a|=6,|b|=4,且a与b不共线.若a与b的夹角为600,求(a+2b)•(a-3b);若向量a+kb与向量a-kb垂直,求k的值.
- 已知向量OA=a=(cosα,sinα),OC=c=(0,2)OB=b=(2cosβ,2sinβ),其中O为坐标原点,且0<α<π2<β<π若a⊥(b-a
- O为△ABC所在平面上的一点且满足|OA|2+|BC|2=|OB|2+|CA|=|OC|2+|AB|2,则O为A.△ABCK的三条高线的交点B.△ABC
- 已知向量a=(cos32x,sin32x),b=(cosx2,-sinx2),c=(-sinx2,cosx2),且x∈[-π2,π2].求|a+b|;(2
- 已知向量OA=(2,0),OC=AB=(0,1),动点M到定直线y=1的距离等于d,并且满足OM•AM=k(CM•BM-d2),其中O是坐标原点,k是参数.(1
- 已知向量OA=,O是坐标原点,动点M满足:|OM+OA|+|OM-OA|=6.求点M的轨迹C的方程;是否存在直线l过D与轨迹C
- 在△ABC中,AB•AC=0,|AB|=12,|BC|=15,l为线段BC的垂直平分线,l与BC交与点D,E为l上异于D的任意一点,求AD•CB的值.(2
- 直线l:3x-y-3=0与抛物线y2=4x相交于A、B两点,与x轴相交于点F,若OF=λOA+μOB(λ≤μ),则λμ=______.
- 已知向量a=(cosα,sinα),b=(2cosβ,2sinβ),c=(sinα+2sinβ,cosα+2cosβ),a与b的夹角为π3,(
- 已知定点F1,F2和动点P满足|PF1-PF2|=2,|PF1+PF2|=4,则点P的轨迹为A.椭圆B.圆C.直线D.线段
- 已知a=,b=,直线l过点A且与向量a+2b垂直,则l的一般方程是______.
- 在△ABC所在的平面上有一点P,满足PA+PB+PC=AB,则△PBC与△ABC的面积之比是______.
- 已知向量OA=,OB=,OC=.若点A、B、C共线,求实数m的值;若△ABC为直角三角形,且∠B为直角,
- 平面直角坐标系中,O为坐标原点,已知两点A,B,若点C满足OC=αOA+βOB,其中α、β∈R且α+β=1,则点C的轨迹方程为A.
- 在△ABC中,点D在BC上,设AB=a,AC=b.若BD=2DC,求BD;若∠BAC=120°,AB=2,AC=1,AD⊥BC,BD
- 设a=(3,4),a⊥b且b在x轴上的射影为2,则b=A.(2,83)B.(2,-32)C.(2,-83)D.(-2,32)
- 四边形ABCD中,如果AB=DC,则四边形ABCD为A.平行四边形B.菱形C.长方形D.正方形
- 已知向量a=(sinθ,cosθ-2sinθ),b=(1,-3),若a∥b,则tanθ的值等于A.-13B.13C.-1D.1
- 已知向量a=(2,t),b=(1,2),若t=t1时,a∥b;t=t2时,a⊥b,则A.t1=-4,t2=-1B.t1=-4,t2=1C.t1=4,t2
- 已知在四边形ABCD中,AB=AD=4,BC=6,CD=2,3AB•AD+4CB•CD=0,求三角形ABC的外接圆半径R为______.
- 已知△ABC,点H,O为△ABC所在平面内的点,且AH•AB=AH•AC,BH•BA=BH•BC,OA+OB+OC=OH,则点O为△ABC的A.内心B.
- 在平面直角坐标系中,O为坐标原点,A,B,C三点满足OC=13OA+23OB.求证:A,B,C三点共线,并求|AC||BA|的值;已知A(1,cos
- 已知平面内点M,N,l是经过点A且与MN垂直的直线,动点P满足PM•PN=-21.求直线l的方程与动点P的
- 对于n个向量a1,a2,a3…an,若存在n个不全为零的实数k1,k2,…kn,使得:k1a1+k2a2+k3a3+…+knan=0成立,则称向量a1,a2,a
- 在平面直角坐标系中,A,B,O为坐标原点.求OA•OB;若点P在直线AB上,且OP⊥AB,求OP的坐标.
- 已知点E在△ABC所在的平面且满足AB+AC=λAE(λ≠0),则点E一定落在A.BC边的垂直平分线上B.BC边的中线所在的直线上C.BC边的高线所在的
- 一条河的两岸平行,河的宽度为480m,一艘船从某岸的A处出发到河对岸,已知船的速度|v1|=12.5km/h,水流的速度|v2|=3.5km/h,当行驶航程最短
- 设a=,b=,c=,α、β∈,a与c的夹角为θ1,b与c的夹角为θ2,且θ1-θ2=π3
- 将函数y=cos2x-3sin2x+1的图象按向量a=(m,n)平移后,得到函数y=2cos2x的图象,则m,n的值分别为A.-π3,+1B.π3,-1
- 若向量a=,b=,则a与b一定满足A.a与b的夹角等于α-βB.a⊥bC.a∥bD.⊥
- 已知|a|=4,|b|=3,(2a-3b)•(2a+b)=61,求a•b的值;设两个非零向量e1和e2不共线.如果AB=e1+e2,BC=2e1+8
- 已知F1、F2分别为椭圆x225+y29=1的左、右焦点,P为椭圆上一点,Q是y轴上的一个动点,若|PF1|-|PF2|=4,则PQ•=___
- 设向量a=(sinx,cosx),b=(cosx,cosx),x∈R,函数f(x)=a•(a+b).求f最大值和此时相应的x的值;求使不等式f
- 已知向量OA=,OB=,OC=;若t=2,点M是线段BC上一点,且满足BM=2MC,求线段AM的长度;若O
- 已知向量a=,b=,若函数f=a•b在区间[-1,1]上不是单调函数,则实数t的取值范围是A.
- 四边形ABCD的顶点坐标为A,B,C,D,则四边形ABCD为A.平行四边形B.梯形C.等腰梯形D.矩形
- 已知圆C的方程2+2=1,直线l1过点A,且与圆C相切.求直线l1的方程;若过点D,且斜率为k的直线l2与圆
- 已知O,N,P在△ABC所在平面内,且|OA|=|OB|=|OC|,NA+NB+NC=0,且PA•PB=PB•PC=PC•PA,则点O,N,P依次是△ABC的(
- 已知:|a|=2,|b|=3,a和b的夹角为45°,求:当向量a+λb与λa+b的夹角为钝角时,λ的取值范围;当λ=-2时,向量a+λb与λa+b的
- 若菱形ABCD的边长为2,则|AB-CB+CD|=______.
- 在正三角形ABC中,D是BC上的点.若AB=3,BD=1,则AB•AD=______.
- 把一颗骰子投掷两次,观察出现的点数,并记第一次出现的点数为a,第二次出现的点数为b,向量n=,①,若向量m=,求当m⊥n时的慨率;②,
- 直角三角形ABC中,斜边BC长为2,O是平面ABC内一点,点-m满足OP=OA+12(AB+AC),则|AP|=______.
- 已知向量a=(x,2y),b=(1,0),且(a+2b)⊥(a-2b).点T求点T的轨迹方程C;过点且以(2,2)为方向向量的一
- 在△ABC中,AB=4,AC=3,P是边BC的垂直平分线上的一点,则BC•AP=______.
- 已知对任意平面向量AB=,把AB绕其起点沿逆时针方向旋转θ角得到向量AP=,叫做把点B绕点A逆时针方
- 直线y=3的一个单位法向量是______.
- 若向量a=,b=,a与b的夹角为60°,则直线xcosα-ysinα+12=0与圆(x-cosβ)2+(y+
- 设e1,e2是两个互相垂直的单位向量,且a=6e1+2e2,b=-3e1+ke2,当k为何值时,a∥b;a⊥b.
- 在△ABC中,已知|AC|=5,|AB|=8,点D在线段AB上,且|AD|=511|DB|,CD•AB=0,设∠BAC=θ,cos(θ+x)=45,-π<x<-
- 直线l的一个法向量n=,则直线l倾角α的取值范围是______.
- 已知两点A,B,动点P在y轴上的射影是H,且PA•PB=2PH2.求动点P的轨迹C的方程已知过点B的直线l交曲线C于x
- △ABC内接于⊙O:x2+y2=1,且3OA+4OB+5OC=0.求△AOC的面积;若OA=(1,0),OC=(cos(θ-π4),
- 过点P作直线l交x轴于A点、交y轴于B点,且P位于AB两点之间.AP=3PB,求直线l的方程;求当AP•PB取得最小值时直线l的方程.
- 已知向量a=(sin(π-x),1),b=(cos(-x),13).若a∥b,求tanx;若f=a•b,求f的最小正周期及f的值域
- 已知向量a=,b=的夹角为锐角,则实数x的取值范围为______.
- 已知a=(cos3θ2,sin3θ2),b=(cosθ2,-sinθ2),且θ∈[0,π3].求a•b|a+b|的最值.
- 若直线l过点,且是它的一个法向量,则直线l的方程为______.
- 已知向量a=(-1,cosωx+3sinωx),b=(f(x),cosωx),其中ω>0,且a⊥b,又f的图象两相邻对称轴间距为32π.求ω的值;(
- 在平面直角坐标系中,O为坐标原点,已知两点A,B,若点P满足OP=α•OA+β•OB,其中α,β∈R且2α2+β2=23.1)求点P的轨迹
- 已知:a,b,c是同一平面内的三个向量,其中a=(3,-1)若|c|=2|a|,且c∥a,求c的坐标;若12a+7b与a-b垂直,且b与a的夹角为1
- 已知m∈R,a=(-1,x2+m),b=(m+1,1x),c=(-m,xx+m).当m=-1时,求使不等式|a•c|<1成立的x的取值范围;求使不等
- 在△ABC中有如下结论:“若点M为△ABC的重心,则MA+MB+MC=0”,设a,b,c分别为△ABC的内角A,B,C的对边,点M为△ABC的重心.如果aMA+
- 设a=(1,cos2θ),b=(2,1),c=(4sinθ,1),d=(12sinθ,1)其中θ∈(0,π4).求a•b-c•d的取值范围;若f(x
- 已知|a|=2,|b|=2,a与b的夹角为45°,若|a+λb|<10,则实数λ的取值范围是______.
- 已知△ABC中,CB=a,CA=b,a•b<0,S△ABC=154,|a|=3,|b|=5,则a与b的夹角为______.
- 已知O是空间任意一点,A、B、C、D四点满足任三点均不共线,但四点共面,且OA=2x•BO+3y•CO+4z•DO,则2x+3y+4z=______.
- 若AB=,点A的坐标为,则点B的坐标为______.
- 设G是△ABC的重心,且(56sinA)GA+(40sinB)GB+(35sinC)GC=0,则B的大小为______.
- 以原点O和A为两个顶点作等腰直角三角形OAB,∠B=90°,求点B的坐标和AB.
- 已知向量a=(2cosα,2sinα),b=(2cosβ,2sinβ),且直线2xcosα-2ysinα+1=0与圆2+2=1相
- 已知向量a=(1,n)b=(-1,n),2a-b与b垂直,|a|=______.
- 已知△ABC的三个顶点ABC及平面内一点P满足:PA+PB+PC=0,若实数λ满足:AB+AC=λAP,则λ的值为A.12B.32C.2D.3
- 在平面直角坐标系xoy中,过定点C作直线m与抛物线y2=2px相交于A、B两点.设N,求NA•NB的最小值;是否存
- 已知平面向量a=,b=,c=,满足x≥0,y≥0.若a•c≥1,b•c≥1,z=-(a+b)•c则A.z有最大值-2B.z
- 试用向量方法证明:对角线互相平分的四边形是平行四边形.
- 已知平面上三个向量a,b,c,其中a=(1,2),若|c|=25,且a∥c,求c的坐标;若|b|=52,且(a+2b)⊥(2a-b),求a与b夹角的
- 已知△ABC的三个顶点A、B、C及平面内一点P,若PA+PB+PC=BC,则点P与△ABC的位置关系是A.P在AB边上B.P在AC边上或其延长线上C.P
- 已知a=,b=,λ∈R,a与b的夹角为θ.若θ为锐角,则λ的取值范围是______.
- 已知向量a与向量b的夹角为1200,若向量c=a+b且a⊥c,则|a||b|的值为A.2B.3C.12D.233
- 已知A,B,C,D,则当a,b满足什么条件时,可以使得AB∥CD;AB⊥CD.
- 定义a*b是向量a和b的“向量积”,它的长度|a*b|=|a|•|b|•sinθ,其中θ为向量a和b的夹角,若u=(2,0),v=(1,3),则|u*(u+v)
- 已知△ABC三个顶点的坐标分别为A、B、C若AD是BC边上的高,求向量AD的坐标;若点E在AC边上,且S△ABE=
- 设P是△ABC所在平面上一点,且满足,若△ABC的面积为1,则△PAB的面积为A.13B.12C.1D.2
- 已知向量a=(1,2),b=(-3,2).求|a+b|;当k为何值时,向量ka+b与a-3b垂直;当k为何值时,向量ka+b与a-3b平行.
- 若△ABC的面积S△ABC∈[32,332],且AB•BC=3,则AB与BC夹角的取值范围是A.[π3,π2]B.[π4,π3]C.[π6,π4]D.[
- 已知△ABC中,过重心G的直线交边AB于P,交边AC于Q,设AP=pPB,AQ=qQC,则pqp+q=A.1B.3C.13D.2
- 设D为△ABC的边AB上一点,P为△ABC内一点,且满足AD=23AB,AP=AD+14BC,则S△APDS△ABC=A.29B.16C.754D.42
- 已知点O、N、P在△ABC所在平面内,且|OA|=|OB|=|OC|,NA+NB+NC=0,PA•PB=PB•PC=PC•PA,则点O、N、P依次为△ABC的(
- 如图,菱形ABCD的边长为2,∠A=60°,M为DC的中点,若N为菱形内任意一点,则AM•AN的最大值为A.3B.23C.6D.9
- 在△ABC中,已知,sinB=cosA?sinC,S△ABC=6,P为线段AB上的一点,且,则1x+1y的最小值为
- 已知△ABC的三个顶点A、B、C及平面内一点P,若PA+PB+PC=AB,则点P与△ABC的位置关系是A.P在AC边上B.P在AB边上或其延长线上C.P
- 在△ABC中,已知A,B,C,BC的中点为M,求AM的坐标和cos∠BAM的值.
- 已知两个力F1,F2的夹角为90°,它们的合力大小为20N,合力与F1的夹角为30°,那么F1的大小为A.103NB.10
- 已知△ABC中,O为外心,H为垂心,AH=1,BH=2,BC=3,,则S△AOB:S△BOC:S△AOC=A.
- 设向量a=(cosx,-3sinx),b=(3sinx,-cosx),函数f(x)=a•b-1,求f的最大值、最小正周期和单调区间.
- 在四边形ABCD中,若AB=DC,且AC•BD=0,则A.ABCD是矩形B.ABCD是菱形C.ABCD是正方形D.ABCD是平行四边形
- 已知a=,b=分别是直线l1、l2的方向向量,则直线l1、l2的位置关系是A.平行B.垂直C.相交
- 已知平面向量a,b,c满足a+b+c=0,且a与b的夹角为135°,c与b的夹角为120°,|c|=2,则|a|=______.
- 已知平面向量a=,b=,若|a|=2,|b|=3,a•b=-6,则x1+y1x2+y2的值为A.-2B.2C.-
- 与向量a=(72,12),b=(12,-72)的夹角相等,且模为1的向量是A.(45,-35)B.(45,-35)或(-45,35)C.(223,-13
- 如图,点B在以PA为直径的圆周上,点C在线段AB上,已PA=5,PB=3,PC=1527,设∠APB=α,∠APC=β,α,β均为锐角.求β;求向量
- 若向量a=,b=,a•b=0,则实数m的值为A.-32B.32C.2D.6
- 在△ABC中,若AB•BC=0,则△ABC是A.直角三角形B.锐角三角形C.钝角三角形D.等腰直角三角形
- 平面内给定三个向量a=,b=,c=.求向量3a+b-2c的坐标;若∥,求实数k的值;设
- 已知△ABC的三个顶点A、B、C及平面内一点P满足PA+PB+PC=AB,则点P与△ABC的关系为A.P在△ABC内部B.P在△ABC外部C.P在AB边
- 平面内有向量OA=,OB=,OP=,点X为直线OP上的一个动点.当XA•XB取最小值时,求OX的坐标;当点X满足
- Rt△ABC中,AB为斜边,AB•AC=9,S△ABC=6,设P是△ABC内一点,P到三边AB,BC,AC的距离分别为x,y,z,则x+y+z的取值范
- 已知A,B,C,点P在平面ABC内,则x的值为A.-4B.1C.10D.11
- 设a、b是两个不共线的非零向量 记OA=a,OB=tb,OC=13(a+b),那么当实数t为何值时,A、B、C三点共线?若|a|=|b|=
- 如果正△ABC中,D∈AB,E∈AC,向量DE=12BC,那么以B,C为焦点且过点D,E的双曲线的离心率是______.
- 已知点F1,F2为椭圆x22+y2=1的两个焦点,点O为坐标原点,圆O是以F1,F2为直径的圆,一条直线与圆O相切并与椭圆交于不同的两点A,B.设b=f(
- 已知.F1=.i+2.j+3.k,.F2=-2.i+3.j-.k,.F3=3.i-4.j+5.k,其中.i,.j,.k为单位正交基底,若F1,.F2,F3共同作
- 如图,已知E、F为平面上的两个定点|EF|=6,|FG|=10,且2EH=EG,HP•GE=0.建立适当的平面直角坐标系
- 已知向量a=(m,n),b=(cosθ,sinθ),其中m,n,θ∈R,若|a|=4|b|,则当a•b<λ2恒成立时实数λ的取值范围是______.
- 已知向量u=与向量v=的对应关系用v=f表示.证明对任意的向量a、b及常数m、n,恒有f=mf+nf(
- 已知向量a=(3,k),b=,c=(1,3).若a⊥c,求k的值;当k=1时,a-λb与c共线,求λ的值;若|m|=3|b|,且m
- 若点O和点F分别是双曲线x2a2-y2=1(a>0)的中心和左焦点,点P为双曲线右支上的任意一点,则OP•FP的取值范围为______.
- 设a、b、c是任意的非零平面向量,且相互不共线,则①c-b=0;②|a|-|b|<|a-b|;③a-b不与c垂直
- 如图,将45°直角三角板和30°直角三角板拼在一起,其中45°直角三角板的斜边与30°直角三角板的30°角所对的直角边重合.若DB=x•DC+y•DA,则x,y
- 已知向量a,b,x,y满足|a|=|b|=1,a•b=0,且a=-x+yb=2x-y,则|x|+|y|等于A.2+3B.2+5C.2D.5
- 已知△ABC是边长为2的等边三角形,D是BC边上的一点,且BD=12DC,则|AD-BC|=______.
- 给定两个向量a=,b=,若⊥,则x的值等于______.
- 如图,三定点A,B,C;三动点D,E,M满足AD=tAB,BE=tBC,DM=tDE,t∈[0,1].求动直线DE斜率的
- △ABC的外接圆的圆心为O,半径为1,若OA+AB+OC=0,且|0A|=|AB|,则CA•CB等于A.32B.3C.3D.23
- 已知向量a,b,c满足ax2+bx+c=0(x∈R),b2=4a•c,则向量a与b的关系是______.
- 已知平面向量a=,b=,且a∥b,则2a+3b=A.B.C.D.
- 空间四边形OABC中,OB=OC,∠AOB=∠AOC=π3,求cos<OA,BC>
- 利用向量有关知识与方法证明两角差的余弦公式:Cα-β:cos=cosαcosβ+sinαsinβ;由Cα-β推导两角和的正弦公式Sα+β:
- 已知OA=,OB=,OP=,点Q在直线OP上运动,则当QA•QB取得最小值时,点Q的坐标为A.(12,34,1
- 已知△ABC为等腰直角三角形,∠A=90°,且AB=a+b,AC=a-b,若a=,则△ABC的面积为______.
- 将一次函数y=kx+b的图象向左平移2个单位长度,再向上平移3个单位长度,所得的图象对应的解析式仍然是y=kx+b,则k的值为A.32B.23C.-23
- 河水的流速为5m/s,一艘小船想沿垂直于河岸方向以12m/s的速度驶向对岸,则小船的静水速度大小为A.13m/sB.12m/sC.17m/sD.15m/
- 设向量a与b的夹角为θ,且a=(3,3),2b-a=(-1,1),则cosθ=______.
- 已知点P为△ABC内一点,且PA+2PB+3PC=0,则△APB,△APC,△BPC的面积之比等于A.9:4:1B.1:4:9C.3:2:1D.1:2:
- 已知a=,b=,⊥点P的轨迹C的方程;若直线l:y=3x+m与曲线C交于A,B两点,
- 过抛物线y2=4x上一点A作抛物线的切线,分别交x轴于点B,交y轴于点D,点C在抛物线上,点E在线段AC上,满足AE=λ1EC;点F在线段
- 设F1,F2是双曲线x2a2-y2b2=1的两个焦点,点P在双曲线上,若PF1•PF2=0且|PF1||PF2|=2ac,则
- 设F1、F2分别是椭圆x24+y2=1的左、右焦点,B.若P是该椭圆上的一个动点,求PF1•PF2的最大值和最小值;若C为椭圆上异于B一
- 已知向量a=,b=,f(x)=a•b且满足f(π2)=1.求函数y=f的解析式;求函数y=f的最大值及
- 在平面直角坐标系中O为坐标原点,P,将向量OP绕原点顺时针方向旋转π3,并将其长度伸长为原来的2倍的向量OQ,则点Q的坐标是A.(3+43,4
- 设A,B,C为坐标平面上三点,O为坐标原点,若OA与OB在OC方向上的投影相同,则a与b满足的关系式为A.4a-5b=3B
- 已知向量m=(2cosα,2sinα),n=(3cosβ,3sinβ),若m与n的夹角为60°,则直线 xcosα-ysinα+12=0与圆(x-cosβ)2+
- 设a,b是两个非零向量A.若|a+b|=|a|-|b|,则a⊥bB.若a⊥b,则|a+b|=|a|-|b|C.若|a+b|=|a|-|b|,则存在实数λ
- 用平面向量的方法证明:三角形的三条中线交于一点.
- 在平面直角坐标中,h为坐标原点,设向量OA=a,OB=b,其中a=,b=,若OC=λa+μb,且0≤λ≤μ≤1,C点所有可能的位置区域用阴影
- 已知△ABC是边长为4的正三角形,D、P是△ABC内部两点,且满足AD=14(AB+AC),AP=AD+18BC,则△APD的面积为______.
- 在△ABC中,设CB=a,AC=b,且|a|=2,|b|=3,a•b=3,则AB的长为______.
- 在平面上,给定非零向量b,对任意向量a,定义a′=a-2(a•b)|b|2b.若a=,b=,求a′;若b=,证明:若
- 在△ABC中,已知BC=2,AB•AC=1,则△ABC面积的最大值是______.
- 平行六面体ABCDA1B1C1D1中,向量AB、AD、AA1两两的夹角均为60°,且|AB|=1,|AD|=2,|AA1|=3,则|AC1|等于A.5B
- 在△ABC中,(BC+BA)•AC=|AC|2,BA•BC=3,|BC|=2,则△ABC的面积是A.32B.22C.12D.1
- 设平面内的向量OA=(1,7),OB=(5,1),OM=(2,1),点P是直线OM上的一个动点,且PA•PB=-8,求OP的坐标及∠APB的余弦值.
- 过点且方向向量为的直线的方程为A.3x-5y+7=0B.5x-3y+1=0C.3x-5y-1=0D.5x-3y-7=0
- 已知向量a=,b=,若存在实数λ使得b⊥,则λ等于______
- 在四边形ABCD中,|AD|=12,|CD|=5,|AB|=10,|DA+DC|=|AC|,AB在AC方向上的投影为8;求∠BAD的正弦值;求△BC
- 在平行四边形ABCD中,∠A=π3,边AB、AD的长分别为2、1,若M、N分别是边BC、CD上的点,且满足|BM||BC|=|CN||CD|,则AM•AN的取值
- 在△ABC中,若BC=a,CA=b,AB=c且a•b=b•c=c•a,则△ABC的形状是△ABC的A.锐角三角形B.直角三角形C.等腰直角三角形D.等边
- 已知a=,b=,①当x、y为何值时,a与b共线?②是否存在实数x、y,使得a⊥b,且|a|=|b|?若存在,求出x
- 设G是△ABC的重心,且56sinA•GA+40sinB•GB+35sinC•GC=0,则B为A.π12B.π6C.π4D.π3
- 设O点在△ABC内部,且有OA+2OB+3OC=0,则△ABC的面积与△AOC的面积的比为A.2B.32C.3D.53
- 已知平面内三个向量:a=(3,2).b=(-1,2).c=(4,1)若(a+λc)∥(2b-a),求实数λ;若)(a+λc)⊥(2b-a),求实数λ
- 三角形ABC的外接圆圆心为O且半径为1,若3OA+4OB+5OC=0则OC•AB=A.75B.-15C.125D.-75
- 在平行四边形ABCD中,A,B,D,点M是线段AB的中点,线段CM与BD交于点P,求点P的坐标.
- 在△ABC中,若AC•BC=1,AB•BC=-2,则|BC|=______.
- 已知O、N、P在△ABC所在的平面内,且|OA|=|OB|=|OC|,PA•PB=PB•PC=PC•PA,NA+NB+NC=0,则点O、P、N依次是△ABC的(
- 已知O是△ABC的外心,AB=2a,AC=2a,∠BAC=120°,若AO=xAB+yAC,则x+y的最小值是______.
- 已知a=,b=,直线l过点A,且与向量a+2b垂直,则直线l的一般方程是______.
- 设M=2a,N=,则有A.M>NB.M≥NC.M<ND.M≤N
- 已知向量p=a+tb,q=c+sd,其中a=,b=,c=,d=,求向量p,q交点的坐标;(2
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- 设F1,F2为椭圆x29+y24=1的两个焦点,P为椭圆上的一点,已知P,F1,F2是一个直角三角形的三个顶点,且|PF1|>|PF2|,求|PF1||PF2|
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- Yesterday I went to our local grocery store. I often go to their deli counter, a
- The other day, I happened to meet someone I hadn’t seen for many years. I couldn
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- Emilio and Michi spread the colorful tablecloth on the table. They made room for
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- Father of TVInvention of television began in 1922 in Rigby, Idaho, the hometown
- LONDON---A British judge on Thursday sentenced a businessman who sold fakeb
- 阅读下面短文,掌握其大意,然后从各题所给的四个选项中,选出最佳选项,并在答题卡上将该项涂黑。I did very badly at schoo
- “Look, it’s Baldy!” A boy shouted in my direction across the playground. Even th
- Bum rate is the speed at which a startup business consumes money. My rate would
- Detective Keeling took his client — a good-looking lady into the back yard of th
- In 1982, Steven Callahan was crossing the Atlantic alone in his sailboat when it
- ① On Friday, January 14, 2005, my cousin, Kara Rose, came into the world. ② She
- As Rosalie Warren stood at the mailbox in the lobby of her apartment building in
- While Christmas shopping in a jewelry store, I discovered a table of golden orna
- I lost my sight when I was four years old by falling off a box car in a freight
- Lying in the sun on a rock, the cougarsaw Jeb and his son, Tom, before they
- It was an autumn morning shortly after my husband and I moved into our first hou
- A few weeks after my first wife, Georgia, was called to heaven, I was cooking di
- My husband and I were once in Nepal(尼泊尔)to see sunrise over the Himalayas.One mo
- I sat next to my close friend,Tina,in my history class.Our teacher,Miss Turner a
- Embroidering(刺绣)When I was a little boy living in New York, my mother used to em
- A boy was walking home from school when he saw a large, temptingapple on on
- She belongs to no one but the whole world that can understand her language. Her
- 阅读下面的短文,从短文后各题所给的四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。On June 25, two days
- I wasn’t surprised when I read that actress Helen Hunt recently stated that she
- Pete Richards was the loneliest man in town on the day that little Jean Grace op
- My mother always says that I’m born to dance ballet.But that September when I wa
- Bertie knew there was something in the wind.His mother had been sad in recent da
- A daughter thought life was unpromising to her and complained to her father abou
- On a cold winter day, I waited in line to see my hero, Jack Canfield, the author
- When I began planning to move to Auckland to study .my mother was worried about
- Throughout this long, tense election, everyone has focused on the presidential c
- My son Joey was born with badly twisted 11____ .The doctors assured us that with
- It was Valentine's Day, my freshman year of college. I was so young, the romanti
- One day, Jack threw some papers on my desk. “What’s wrong?” I asked. “Next time
- when Frida Kahlo's painting were on show in London, a poet described her paintin
- A few days ago we – that’s me and the husband – took a cab to the station. Chat
- When I walk through the streets of San Francisco’s business districts, white peo
- My parents ran a small restaurant in Seattle. It was open twenty-four hours a da
- Recently I fully understood that a little favor could really make a big differen
- The house was quiet at 5 a.m. and Tim’s mother was asleep. Only the sound of the
- RESUME(履历)DOUGLAS V. FERNETTIAddress: 636 Rugar StreetJoliet, Illinois60451Dat
- 阅读下面短文,从短文后各题所给的四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。Never would I forget t
- Robert Owen was born in Wales in 1771. At the age of ten he went to work. His em
- Like any good mother, when Karen found out that another baby was on the way, she
- Living in South Africa, I had always taken the wildlife pretty much for granted.
- My friend Jenny from Germany spent some time traveling in India. She 36the count
- On Friday morning, I was waiting in the corridor with my class for the physics e
- Brief Introduction(Adeline) Virginia Woolf (née Stephen; 25 January 1882 – 28 Ma
- One spring, when I was 10, during one of my father's layoffs, I could tell my mo
- Until a few months ago, he was a butler(管家) in one of the more expensive residen
- As an experienced photojournalist in Nashville, Tennessee, I was hired by USA To
- A man claiming to be a pastor(牧师) apparently tried to stiff a waiter on a tip, e
- Something that has always interested me about Abraham Lincoln is,not surprisingl
- It was one of the hottest days of the dry season. We had not seen rain in almost
- Once on a dark winter's day,when the yellow fog hung so thick and heavy in the s
- 阅读下面短文, 从短文后所给各题的四个选项中选出可以填入空白处的最佳选项, 并在答题卡上将该项涂黑。 Perhaps the only test score t
- I met Billy the last summer before college. He was handsome and his irreverence
- I grew up in New Hampshire, a small town in South Canada, where in my father’s w
- When I was a young man, I thought life was all about me—about how I’d make my wa
- “Reading makes a full man” (Bacon, 1597). Novels written by the writers like Jan
- 阅读下面短文,掌握其大意。然后从各题所给的ABCD四个选项中,选出最佳选项,并在答题卡上将该项涂黑。A large crowd of frogs were tr
- Jennie sat at her window as usual, looking out upon the street, with a look of s
- Last winter ,when I was heavily pregnant , I was visiting my sister and brother-
- 阅读下面短文, 掌握其大意, 然后从36-55各题所给的四个选项中选出最佳选项, 并在答题卡上涂黑。RESOURCES BELONG TO THE SOCIET
- My eighth grade consisted of 28 classmates. We knew each other so well that most
- When responding to any adult, you must answer by saying “Yes ma’am” or “No, sir.
- 完型填空Good Work Ethics When I was younger, about 14, I was a
- He held the blazing(点燃) matches to a piece of wood. After a while, he became awa
- “All I could see was two sets of red eyes below me,” said Dave Gatty, an Austral
- The young engineer sat down on a rock and rested his head in his hands. He would
- Being able to experience a different environment and custom will give us a new p
- Proudly reading my words, I glanced around the room, only to find my classmates
- Jimmy is an automotive mechanic, but he lost his job a few months ago. He has go
- One of my. next-door neighbor is a sweet 92-year-old Polish lady. A few days ago
- I work as a postal letter carrier in Charlotte. One day several years ago, I dro
- My father left for our native place on Thursday. In fact, he had never traveled
- Hank Viscardi was born without legs. He had—not legs but stumps(残肢) that could b
- Dear Guys,I’d like to talk to you about the shame you subjected me to last night
- It’s a sad and familiar sentence from a beggar that we often hear. Usually, when
- NEW YORK— Picking a Christmas tree takes most people a few minutes, or a couple
- When she was twelve, Maria made her first important decision about the course of
- I often read of incidents of misunderstanding or conflict. I’m left 1. Why do th
- Checks have largely taken the place of money as a means of 36, for they are wide
- As a boy growing up in India, I had longed to travel abroad. I used to listen to
- Last January I was given a chance to work in another country. At first, I lived
- My l4-year-old son, John, and I spotted the coat at the same time in a second-ha
- The rain was coming down heavily and I was going to be late for an important con
- “I don’t think I can do this any more.” “Yes, you can. You only have five more r
- I had been playing hockeyfor about10 years. I wasalways the one sittingat th
- I was brought up in the British, stiff upper lip style. Strong feelings aren’t s
- I knew I was all right now. Nobody else would come ahunting after me. I got
- 阅读下面短文,从短文后各题所给的四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。One winter morning, an
- Which is safer
- Twist was the name of an old champion racing horse. He was past thirty years old
- In the clinic, I asked if Michael could be retested, so the specialist tested hi
- Growing up, I remember my father as a silent, serious man not the sort of person
- One day I walked down to get to my car, thinking about what I had to accomplish
- In a land far away, once upon a time there was great poverty (贫困), and only the
- I dropped out of Reed College after the first 6 months, but then stayed around a
- I know it is wrong to envy your children. But when I see my son, Tonio and his y
- 阅读下面短文,从短文后各题所给的四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。The Man was very sad. He knew t
- A long time ago, there was an emperor. One day he told his horseman that if he c
- 阅读下面短文,掌握其大意,然后从各题所给的四个选项中,选出最佳选项。Five-year-old Marry loved to play in
- I was watching some little kids play soccer. These kids were only five or six ye
- 请认真阅读下面短文,从短文后各题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。An old woman walked around as
- This Christmas, maybe different from previous years, a strong desire drives me t
- A mother isdevastated, crying, yelling all she can in that dark corner. There wa
- China is a land of bicycles. At least it was back in 1992 when I traveled the co
- Who is setting your standards for you ?A true story has it that one elder man 36
- Whenever we hear about “the homeless”, most of us think of the Developing World.
- Chinese writer Mo Yan has won the 2012 Nobel Prize in Literature, announced the
- Genzeb Tibeb is very bright. At only 11 years old, her future is looking promis
- 阅读下面短文,掌握其大意,然后从36至55各题所给的四个选项中, 选出最佳选项,并在答题卡上将该项涂黑。As a father, I grea
- Mr. Robinson had to travel somewhere on business and as he was in a hurry, he de
- Last weekend, my kids along with a few other kids from the neighborhood voluntee
- 阅读下面短文,掌握其大意,然后从各题所给的A、B、C、D四个选项中,选出可以填入空白处的最佳选项。I was six when I joined my fath
- “Everything happens for the best,” my mother said whenever I faced disappointmen
- Joe Biggs was a butcher. His shop was in a village in the beautiful south of Eng
- One day, when I went shopping with Julie, we came across something special. Wait
- Perhaps the only test score that I remember is the 41. I was in high school. Th
- At the age of sixteen, I joined a volunteer group with my dad.I went on my first
- 阅读下面短文,掌握其大意,从每题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。 It was a dark day, one of de
- 阅读下面的短文,从短文后各题所给的四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。I was watching a TV s
- 阅读下面短文,掌握其大意,然后从16-35各题所给的A、B、C、D四个选项中,选出最佳选项。She always wore a flower in her ha
- Now came great news! It came from a neighboring state, where the family’s only s
- Not too long ago, a story that happened at Walt Disney touched me greatly. A gue
- “Scotty!” Mr. Brown, my Year 11 English teacher, called me by my nickname (绰号) a
- The summer of 1975 I’d just graduated from college in Southern California and re
- People always say that if God closed a door in front of you, there must be a win
- I graduated from a small public school in Michigan. One day,Mr. Ledy,our footbal
- Directions: For each blank in the following passage there are four words or phra
- On the first day of class, Mr. Whiteson gave us a lecture about a creature(生物) c
- “Now,” Mrs. Virginia DeView said, smiling, “we are going to discover our profess
- Istopped ata grocerystore the other day because I wasabout to go on a long drive
- The telephone rang in the police station at Richmond, California, US. “ 1station
- My favorite English teacher could draw humor out of the driest material. It wasn
- 阅读下面短文,从短文后各题所给的四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。In the era of high-tec
- Son’s HelpMr. Smith worked in a factory. As a driver, he was busy but he was pai
- Hilary Smith belonged to a good family. But by the age of twenty, he had spent a
- On Jan 23, 2012, I was aboard a ship on the Yangtze River, listening to the soun
- One day an out of work mimic(滑稽演员) is visiting the zoo and attempts to earn some
- Today I am known for my voice. Perhaps the greatest honor came when I was asked
- DEAR AMY: Last year I got a full-time job as a baby-sitter for a wonderful famil
- When I was young, I wanted to be a teacher if I grew up, simply because I wanted
- It was the first snow of winter – an exciting day for every child but not for mo
- One morning, my son, Chilly, found a carpenterworm(毛毛虫) unexpectedly and put it
- I break off a piece of candy and take pleasure in its sweet outside and the bitt
- A girl became a volunteer in the activities of Deathbed Care, which meant visiti
- To win an Oscar is an achievement at any age. To do so at 22, as Jennifer Lawren
- One day, Mary asked her mother, “Mum, what do people mean by saying they have a
- A businessman had been on a long flight between meetings. After a while, a calm
- Last night was the last game for my eight-year-old son’s soccer team. It was the
- When John Weston awoke that morning, he remembered that his mother was going int
- All of my students I taught at Saint Mary’s School in Morris, Minnesota were dea
- The house next door had been empty for so long that we had quite forgotten what
- It was a cold winter day that Sunday. The parking lot to the 1 was filling up qu
- The old woman was wandering in the shop. She was ____36 ___; her clothes were to
- As far back as he could remember,Larry had longed to go to Hollywood and become
- Several years ago, we moved into the apartment where we live now. When my friend
- Mother used to ask me what the most important part of the body is. Through the y
- 阅读下面的短文,然后从每小题所给的四个选项中选出一个最佳选项,并将答题卡上的相应选项涂黑。My daughter’s 7th birthday was Apri
- Douglas Adams was born in Cambridge in March 1952, educated at Brentwood School,
- Jane’s mother worked on the farm from dawn till dark, which just could make ends
- Renee had been married for a long, long time. Her favorite part of being married
- My name is Ralph and I am 42 years old. I work in a factory that I enjoy very mu
- It was a cold winter. The day my husband fell to his death, it started to snow,
- My little son Logan had cerebral palsy(脑瘫). I should thank Tri-North Buiders, in
- Once upon a time there was a crookwho only thought about how to get money. W
- Every morning my friend would stop on the way to work to have a quick breakfast
- Low-Cost Gifts for Mother's DayGift No. IOffer to be your mother's health friend
- Doctor are known to be terrible pilots. They don't listen because they already k
- When Joe was about to start school, all signs pointed to success. Yet things tur
- When I was 12, all I wanted was a signet (图章) ring. They were the "in" thing and
- LONDON
- The technology is great. Without it we wouldn’t have been able to put a man on t
- On a sunny day last August, Tim heard some shouting. Looking out to the sea care
- Poet William Stafford once said that we are defined more by the detours (绕行路) in
- Mothers and daughters go through so much—yet when was the last time a mother and
- "Look, it's Baldy!" A boy shouted in my direction across the playground. Even th
- As I held my father’s hands one night, I couldn’t help but notice their calluses
- The light from the campfire brightened the darkness, but it could not prevent th
- Going green seems to be a fad(时尚) for a lot of people these days.Whether that is
- In 1974, after filling out fifty applications, going through four interviews, an
- Diane Ray was completely self-centered and very spoilt. Her parents gave her 36s
- A little girl lived in a simple and poor house on a hill.Usually she 36 play in
- Mark Twain has been called the inventor of the American novel. And he surely des
- One day, when I was working as a psychologist in England,an adolescent boy showe
- Last spring, I was fortunate to be chosen to participate in an exchange study pr
- Sparrow is a fast-food chain with 200 restaurants. Some years ago, the group to
- Imagination and fantasy can play an important role in achieving the things we fe
- When I was a baby, I entertained you and made you laugh.Whenever I was “bad”, yo
- George Gershwin, born in 1998, was one of America’s greatest composers. He publi
- Number sense is not the ability to count. It is the ability to recognize a 1in n
- In many African countries, the care of orphans has been mainly led by foreign do
- Jimmy is an automotive mechanic, but he lost his job a few months ago. He has a
- It was an autumn morning shortly after my husband and I moved into our first hou
- Pride and Prejudice for the Modern WomanLet us imagine how Pride and Prejudice,
- When 19-year-old Sophia Giorgi said she was thinking of volunteering to help the
- One of the greatest gifts one generation can give to other generations is the
- TaIL Spin Two dolphins race around in a big pool in the Ocean Park. The smaller
- Bare foot and dirty, the girl just sat and watched the people go by in the park.
- A Leapto Honor Leaping on a narrow balance beam is not easy. But Lola W
- After my dad died on Aug.30, 2001, my mother made sure we marked each anniversar
- Given that many people's moods (情绪)are regulated By the chemical action of choco
- I learned about life from an ant farm. When I was seven years old, my family tri
- In 1947 a group of famous people from the art world headed By an Austrian conduc
- The other day, I happened to meet someone I hadn’t seen for many years. I couldn
- Doctor are known to Be terriBle pilots. They don't listen Because they already k
- About 30 years ago, I left Cuba for the United States with my son. After getting
- Michael GreenBerg is a very popular New Yorker. He is not famous in sports or th
- When I was a boy, I belonged to the Boy Scouts(童子军),so I used to go camping ever
- As a saying goes, when life gives you lemons, then make lemonade. But how is del
- The back door of the ambulance(救护车) was suddenly shut and the driver ran to the
- It is a truth universally acknowledged that a single man in possession of a good
- There is an old story telling about a woman whose only son died in an accident.
- We had moved from Cairo to Mt. Vernon, Illinois, away from my grandmother when I
- Here’s an unusual story: a diamond ring was recently found in an egg. The magici
- Fourteen is not an age at which you try to earn millions of dollars. But for Ban
- 语法填空Little Robert tried to take a big bottle of milk out of
- Several years ago, while attending a communication course, I experienced a most
- For Rachael and Leigh Badman, there is only one wish on their Christmas list thi
- A boy was walking home from school when he saw a large, tempting(诱人的) apple on o
- A long time ago, there was an emperor. One day he told his horseman that if he c
- More Than I Had Dreamed OfFrom the time I was seven, I had a dream of becoming a
- Susannah was a shy but clever girl. She had worn 1for as long as she could remem
- On July 4,1986,Americans celebrated the Statue of Liberty’s 100th birthday
- I get off the bus and walk a few blocks. I stop when I get to a garage-like plac
- Charlton Heston was born in 1923 in Evanston, Illinois. Charlton Heston discover
- A young man was getting ready to graduate from college. For many months he had 3
- One Sunday, a picture in the newspaper touched me. A young woman stood in front
- "Everything happens for the best." my mother said whenever I felt disappointed.
- In the clinic, I asked if Michael could be retested, so the specialist tested hi
- I still remember
- Nicknamed the Golden Music Boy, 25-year-old Hu Yanbin, was born and 36up in Shan
- Jack Baines is a self-made millionaire, but his beginnings were very lowly. He w
- Last year, I took a sightseeing trip to Washington, DC. I heard a voice say, “Ca
- As a music teacher,I have always known that music touches the soul. It can 36all
- Li Denghai, with his muddy boots and tanned(晒黑的) face, may not look like he is o
- Today was a big day for my eldest son, Kevin. He had his first big boy haircut.
- My brother and I were alone in our apartment. My parents had gone for a party an
- Once upon a time there lived an old man in a nice cottage with a large garden. T
- Martin was grown-up, and for his birthday that year his father gave him a 36with
- Chinese writer Mo Yan has won the 2012 Nobel Prize in Literature, announced the
- William Shakespeare was a writer of plays and poems. Some of his most famous pla
- The family had just moved. The young woman was feeling a little __1__. It was Mo
- Thirty years ago, the Earnshaw family lived at Wuthering Heights, with two teena
- Switzerlandisfamousforitswatches.However,thiscountrydidn’t 26 thewatch. Itwasthe
- Immediately I got up and dressed, I stuck my violin under my jacket and went out
- When 16-year-old Ella Fitzgerald stepped onto the stage to perform at Harlem’s A
- 完形填空 When I entered the classroom, our teacher announced we w
- Ling Ruiming has long dreamed of traveling around the world. But when the 86-yea
- I got your letter and was glad to find that you had not forgotten Jourdon, and t
- Before she appeared on the reality show (真人秀) Britain's Got Talent, Susan Boyle
- This was my grandmother’s first Christmas without grandfather. When we reached h
- “Lizzie, there’s a letter for you!” Emily called up the stairs to her sister. E
- Getting paid to talk about the World Cup is a great job. I’m not a football comm
- Until 1954 it was thought that no man could run one mile in less than four minut
- My teenage son Karl became withdrawn after his father died. As a single parent,
- Jason had been watching the X Games on TV. Athletes from all over the world were
- A man was on the side of the road hitchhiking(搭便车) on a very dark night in the m
- One day, Nancy came home from school crying. Taking her in her arms, Mummy tried
- 完形填空I have decided to test myself every day in a different wa
- Many of us learn valuable lessons from our patients. I was 36 to learn one early
- 完形填空 One morning I wasted nearly an hour watching a tiny an
- Every morning at eleven, a bright new car drove through the central park in New
- My parents were in a huge argument, and I was really upset about it. I didn’t kn
- A young student was one day taking a walk with a professor, who was commonly __3
- 完形填空 A man and his wife arrived in Boston by train.After g
- There were a family of nine: the father, the mother, two boys and five girls. Th
- Years ago people could hardly accept the ideas of a woman's being a doctor.In or
- “Well, what did I say?Buck’s a real fighter, all right,” said Francois the next
- “Your honor(法官大人)!Let me say a few words for myself. What they have told you is
- My family came to America in 1985.__1__of us spoke a word of English. Each morni
- As a boy, Sanders was much influenced by books about the sea, but by the age of
- Louis Armstrong had two famous nicknames.Some people called him Bagamo.They said
- A jobless man applied for the position of "office boy" at Microsoft.The HR manag
- Years ago a farmer owned land along the Atlantic seacoast. He constantly adverti
- Last Christmas was a very difficult time for me. My family and all of my close f
- The following diaries were written by an Australian boy named Tony. He was on ho
- Last winter, when I was heavily pregnant, I was visiting my sister and brother-i
- Early this morning, I got up to make a batch of Rice Krispie Treats for my neigh
- "Remember, your father is only one year older than you." That was Mom's usual ex
- After her husband had gone to work, Mrs Richards send her children to school and
- On August 5 at 10:31 p.m. PST, a rovernamed Curiosity touched down safely o
- A rich man was camping alone on a hill. One day it began to rain and the rain ma
- It was already dark when an old man came to a small town. He found an inn and wa
- Many trees in the Brackham area were brought down in the terrible storms that Ma
- “Where is Papa going with that ax (斧子)?” said Fern to her mother as they were se
- Children are very, very observant and have excellent memories.Around Christmas l
- Confucius (551BC~479BC), a Chinese philosopher,one of the most influential men i
- One day, four lawyers were riding along a country road. There had been a(n) 36 ,
- Once again, I was in a new school. So was a girl in my class named Phoebe. That’
- One morning Mrs Smith was driving home after she had done shopping. When she dro
- It was early in the morning, on a lonely road. It's1 heavily. A 9-year-old boy w
- Justin Bieber used to be an ordinary Canadian boy, but his life totally changed
- Norah had a cottage on a cliffabove a big bay. In winter it could be very un
- “Now ,”Mrs. Virginia DeView said, smiling, “we are going to discover our profess
- It was a sunny day. A city man was driving along a country road with a new wagon
- Even people who don’t understand English can enjoy Chaplin’s films because they
- One cold winter evening, some young families and young couples were eating in a
- I used to live selfishly, I should admit. But one moment changed me. I was on my
- 课文完型填空 (每题1分,共10题, 满分10分)My name is Elias. I am a poor black worker in South Afr
- It was eleven o'clock that night when Mr. Pontellier returned from his night out
- Oprah Winfrey is not just a very successful TV personality(名人) in the US, she is
- Since my family were not going to be helpful, I decided I would look for one all
- A farmer had some young dogs to sell. He made an advertisement and began to nail
- My mother is a diligent and kind woman. She is very busy from morning till night
- 完形填空 Wings of AngelI used to hate myself because I wasn’t “normal”. Ever
- A nine-year-old kid was sitting at his desk when suddenly there was a puddle (水坑
- A neighbor of mine, while visiting his mother in Boston, took her to a shoe stor
- In the middle of the night, Peter’s wife suddenly fell ill. She rolled from side
- A farmer had a cow. (奶牛) He 36 very good care of this cow and one day when it wa
- My love affair with the sea began when I was no more than six years old, walking
- About a year ago, I went to stay at a Detroit hotel. I didn’t want to 21 too muc
- English was always my favorite subject. In my freshman year of high school, I co
- It was Saturday. As always, it was a busy one, for “Six days shall you labor and
- My second fatherMy father died when I was five. It was hard on us all. My brothe
- 完形填空This was an unforgettable and wonderful experience. It ha
- 完形填空My husband and I insisted that our children were old enou
- Once you’ve tasted the joy and freedom of an all-access backstage pass, sitting
- You are near the front line of a battle. Around you shells are exploding; pe
- Today, when a man steps on to the moon, or something new and important happens,
- My teenage son Karl became withdraw after his father died. As a single parent, I
- There is a wonderful story about a young girl who had no family and no one to lo
- A long time ago, there was a seed and because he was only a seed, nobody noticed
- It was lunchtime and I walked into a small branch bank on the West Side. I had c
- As darkness fell, hundreds of people in the Swiss village left their houses. The
- Wherever she goes, Molly leaves her mark. Without saying a word, she speaks to p
- The house was quiet at 5 am and Tim’s mother was asleep. Only the sound of the b
- There is an old story about an army of frogs that went jumping through the fores
- On the border, a pack of wild dogs circled the soldiers for food. The leader of
- I was nineteen years old the first time I saw my own true character. My trip to
- For years I wanted a flower garden.But then we had Matthew.And Marvin.And the tw
- Many people cannot forget the beautiful thousand hand dance performed by disable
- When I was in the ninth grade, my parents started fighting. I could hear them 36
- Bill Gates was born on October 28th, 1955. He and his two sisters grew up in Sea
- For most people, graduation is an exciting day – the culmination (顶点) of years o
- One day a mother rat and her babies were out in an open field. They were playing
- It happened towards evening, when I was resting in a cafe. I 36 a pair of newly
- Louis Armstrong had two famous nicknames. Some people called him Bagamo. They sa
- One of my next-door neighbors is a sweet 92-year-old Polish lady. A few days ago
- I live in Albuquerque, New Mexico. I used to give a lot of money to the homeless
- From the time each of my children started school, I packed their lunches. And in
- I was feeling a little blue because my mother had been laid off from her job and
- Lying in the sun on a rock, the cougar(美洲豹)saw Jeb and his son, Tom, before they
- Most people who live in Seattle, Washington, love their city. There is a never-e
- It was a sunny day. A city man was driving along a country road with a new wagon
- My sister, Cathy, who lives in Vancouver, sent me a package full of Christmas gi
- On Thursday afternoon Mrs. Clarke locked the door and went to the women’s 36as u
- Two men, both seriously ill, were in the same hospital room. One man was allowed
- Travelling around the world with children is difficult enough, but attempting it
- Gwendolyn Brooks wrote hundreds of poems during her lifetime. She was known arou
- A gentle breeze blew through Jennifer’s hair. The golden red sun was setting. Sh
- There is an old Chinese tale about a woman whose only son died. Sadly, she went
- My husband Mike hated Christmas. He didn’t hate the true meaning of ___36___, bu
- Forest guards in western India are using cell phones with ringtones of cows mooi
- We spent a day in the country, picking wild flowers. With the car full of flower
- About twenty of us had been fortunate enough to receive invitations to a film-st
- In his lowest days when few people bought his records, Taiwan singer Steve Chou
- I first went to hear a live rock concert when I was eight years old. My brother
- Four brothers left home for college, and they became successful doctors and lawy
- Two thieves came to a house to steal something. They dug a hole in the wall of t
- Few people ever took notice of Mr. Jimmy Tan whenever he entered a room. He was
- Her frozen fingers touched the flame trying to feel alive. She could feel the wa
- Mrs Smith's husband went off on a business trip to Australia. He wanted to catch
- Whenever we do something wrong, Jesus Christ sees it. He loves us and doesn’t sa
- Columbus returned home with the news of his discovery of “Indian” 36 Columbus ca
- I was a single parent of four small children, working at a low-paid job. Money w
- Mary got a little white lamb. She tied it to a tree in her field during the
- It was 4 o'clock in the morning when I received the phone call. “This is the eme
- Winston Churchill was born into a famous family.His father was a successful poli
- When Mr. David retired, he bought a small house in a village near the sea. He li
- There lived a king who liked art. One day an artist offered to paint the mostbea
- When I was six years old, my parents and I were in London for a one-month vacati
- I never thought about the dangers of growing up during the war because I was onl
- 13-year-old Frank had received many presents he wanted. But Frank was not __36__
- My friend Michelle is blind, but you’d never know it. She makes such good use of
- There was once a professor of medicine, who was very strict with the students. W
- Adrian’s “Amazing Race” started early when his parents realized that he, as a ba
- An old woman walked around as she pushed her shopping cart full of many things.
- I remember vividly that first English class in the last term of high school. We
- As the first woman Chancellor(总理) in German’s history, Angela Merkel topped Forb
- Several years ago, we moved into the apartment where we live now. When my friend
- It was New Year’s Night. An aged man was standing at a window. He raised his mou
- Growing up, I wanted to be just like my mom. She was kind. People always seemed
- School was over and I was both mentally and physically tired. I sat at the very
- When Mary Moore began her high school in 1951, her mother told her, "Be sure and
- When I was a sixth grader, kids were separating into groups, but I wasn't sure w
- Long long ago, there was a small village.This village had a 31tradition.At the b
- Jenna, a popular girl from Westwood Middle School, had graduated first in her cl
- I went into Harrods in London (a huge department store I am sure you have heard
- When I was seven years old my mom was diagnosed(诊断) with cancer. For this type o
- I was driving around downtown one afternoon in the winter.I 1a red light and sto
- We lived in a very quiet neighborhood. One evening I heard a loud crash in the s
- Marie Curie was a Polish-born physicist and chemist and one of the most famous s
- When I learned that 71-year-old mother was playing Scrabble —a word game, I knew
- I love it at night. It’s peaceful. And when it cools down I sometimes do some ir
- Hobbs was an orphan(孤儿). He worked in a factory and every day he got a little mo
- Recently, I experienced a wonderful lesson in how little things still mean a lot
- “Good morning!” said a woman as she walked up to an old man sitting on the groun
- When I was in college twenty-five years ago, I spent four summers working in 36
- It was a busy morning, about 8:30, when an elderly gentleman in his 80s came to
- It was only 5 o’clock in the morning. The house was quiet and Tim' s mother was
- During my review for the medical boards, I gained 101 pounds in four months and
- I studied engineering after enjoying top marks, as high school came relatively e
- Jerry stood up and looked at the crowd of people making their way through the st
- I was on the shoulder of a busy highway in Chicago, looking at my tool-box and s
- When Paul was a boy growing up in Utah, he happened to live near a copper smelte
- Mackenzie Hughes had just returned from school and was waiting for her older bro
- Prince Roman was a Polish nobleman, a captain in the army of Czar Nicholas of Ru
- Barack Obama became US President in January, 2009. Since then, the world has bee
- Ever since I was little, my favorite season was winter. I loved to play in the s
- Helen Keller was born in America in June, 1880. Everything was all right when sh
- Twenty-six years after a terrible bicycle accident left her comatose for two
- Audrey Hepburn is one of Hollywood’s all-time greatest actress. She is famous no
- When I received my grade on my first writing assignment, I was very disappointed
- There is only one winner and in this case it is Gina Rinehart who has won it all
- Four students are talking about the future after class.Deng Yu: In 2050, China w
- There was once a farmer. His land was hilly and the soil was not the best. He ha
- Dear Annie,I feel betrayed by my friend Hannah. We have been best friends 31 pri
- One day, a woman sat down next to a man on a bench near a playground. The woman
- A few years ago, an Englishman called Roy Jones went on holiday to a small seasi
- When first entered ,Vanak Restaurant does not look like much of a restaurant, bu
- My husband has always had a huge affection for older people and has helped out s
- It's a small gas station that has snacks, drinks, cigarettes, and candies. The y
- In a land far away, once upon a time there was great poverty (贫困),and only the r
- Elizabeth Blackwell was born on February 3, 1821 in Bristol, England. Her father
- It was the summer of 1936.The Olympic Games were being held in Berlin.I had trai
- If you want your life to stand for peace and kindness, it’s helpful to do kind,
- Sam’s uncle had an old bird which sat in its cage all day. One day his uncle sai
- I believe listening is powerful medicine. Studies have shown it takes a ___36___
- Once there was a king. He had two old ministers. One was kind and the other was
- I love it at night. It’s peaceful. And when it cools down I sometimes do some ir
- After the earthquake, the rescuers arrived at the disaster area as soon as possi
- I couldn’t believe my ears when I heard my name called for the leading role in o
- My mother has been a true inspiration to me and changed the way I look at life.
- It was my birthday last Thursday. I decided to 36 by inviting a few friends out
- A rat looked through a crack in the wall to see the farmer and his wife opening
- Connie Lau hates smoking. “It smells awful, and it’s so bad for you. It breaks m
- I believe in my mother. My belief began when I was just a kid, 小题1:I dreamed of
- The famous scientist Albert Einstein died in 1955. His___36__ now is in the cent
- Last week, my granddaughter started kindergarten,and ,as is conventional, I wish
- 阅读表达:[1]An 18-year-old student was struggling to pay his fees. He was an orphan,
- Early this morning, I got up to make a batch of Rice Krispie treats for my
- Mark and his brother Jason both were looking at the shining new computer envious
- So the evening turned to night, and the night turned to morning. And before I kn
- Soon it would be the holidays, but before that, there were year exams. All the i
- Tomorrow was his girlfriend’s birthday and the young man was having a difficult
- Some years ago when I was in my first year in college, I heard Salome Bey sing f
- I can’t count how many times people have complained, while shaking their heads i
- You Are Going Places I work at a local restaurant in town as cashier, seater and
- After her husband had gone to work, Mrs Richards send her children to school and
- John Blanchard was studying the crowd making their way through the station. He w
- Watching some children trying to catch butterflies one hot August afternoon, I w
- A voyaging ship was wrecked during a storm at sea and only two of the men aboard
- A farmer had some puppies to sell. He painted a sign advertising them on the edg
- In the United States there was an unusual tale telling of the daughter of a mech
- Once there was a very brilliant, creative and educated man. He gained much __小题1
- In the morning, Slim got up and prepared breakfast for his wife as usual. Nicole
- DWhen Mary Moore began her high school in 1951, her mother told her, "Be sure an
- Directions:For each blank in the following passage there are four words or phras
- CPhilip was a nine-year-old boy in a Sunday school class of 8-year-old girls and
- All my students in my class knew I was getting married in June and moving out of
- CA woman whose sports car was stolen with her dog in it put up notices all over
- (B)Sixty-year-old grandmother, Fiona McFee, is going to stop working next year a
- Throughout his early years, Obama was known at home and at school as “Barry”. Ob
- Before I started school, people felt that 1 was not going to be successful.At th
- AThis is a talk by a London taxi(出租车)driver. "I've been a taxi driver for nearly
- For some time I’ve had a church member provide me with a rose to pin on the lape
- Today, I felt terrible. My head was full of problems, burdens and confusion. I d
- A Different Roast Every Day Alan worked in an office in the city. He worked v
- Very far away from the city lived a poor farmer and his wife. In front of their
- Last December, I performed 30 shows in 11 days. I knew it would be a tiring tour
- Rosa liked making up stories. She was so __1__ that her classmates believed her
- He’s an old cobbler(修鞋匠) with a shop in the Marais, a historic area in Paris. Wh
- Have you listened to music on an iPod? Used a computer at home? Those are just t
- BHe is a lesson to every boy who ever picked up a basketball and dreamed that it
- One morning, Charley, a little green frog, was sitting in a pond by the side of
- Dana Cummings was in his thirties before he first went surfing. But, even more i
- Many people watched the lift-off of the space shuttle Columbia on March 21, 1982
- Dine with General St. AmourGeneral St. Amour was famous for his bravery, but he
- A 16-year-old South Dakota boy who became lost while hunting and spent 16 hours
- It’s just a small, white envelope stuck among the branches of our Christmas tree
- When I was a college student, I did a lot of traveling abroad. That was because
- Since I moved to Seattle, there’s no farm whose name has come up more than Quill
- Dad was not only my best friend, but my compass (指南针). While he was alive, he 36
- Joe wanted a bike. He asked his parents for the money and they had said he must
- I live in a very over populated beach area in the Los Angeles, and I love the be
- EA year after graduation, I was offered a position teaching a writing class. Tea
- William Butler Yeats, a most famous Irish writer, was born in Dublin on June 13,
- Before India gained independence (独立), a few young men from the villages wanted
- This is no joke. Kelly Katrina Hildebrandt, 20, and Kelly Carl Hildebrandt, 24,
- At Blossom End Railroad Station, 22-year-old Stanley Vine sat, waiting for his n
- Charlie was a rich boy who had more toys than you could imagine. His family had
- My mother, Marisol Torres, came with her family to Australia in the early 1960s.
- The day when the jobs were handed out was one of the most exciting moments for a
- There once was a place 36 all the people were happy and 37. Everyone was friendl
- Hidden passengers traveling in ships, trams, or even cars can be a terrible trou
- As a substitute teacher, my daily routine involves driving to a new school almos
- The “Doorman”On a trip to California, my family stopped for lunch. As we walked
- I keep a two dollar bill in my wallet that was given to me by my mother when I w
- Two travelling angels stopped to spend the night in the home of a wealthy family
- I ran into a stranger as he passed by. “I'm so sorry!” was my reply. Then he sai
- Abraham Lincoln was born into poverty 200 years ago. At any other time and place
- John H. Johnson was born in a black family in Arkansas city in 1918. His father
- It happened to a very young pastor (牧师).His church was very old and what's worse
- A person may have an idea about himself that will prevent him from doing good wo
- In the spring of 1919, Princess Bazaar of Luxembour’s royal family met the royal
- Bertie knew there was something in the wind. His mother had been sad in recent d
- Years ago I had the opportunity to meet a girl who strengthened my understanding
- Whenever my kids have a party at school, I am the mom who always signs up to bri
- When Boris left school,he could not find a job.He tried hard and pestered(纠缠)his
- With long brown hair, deep blue eyes, a tall and thin figure(身躯) Brad Pitt seems
- In 1971 a young man who grew up very poor was travelling across the country, try
- The simplest way to say it is this: I believe in my mother. My __1__ began when
- 完型填空 Our three-year-old daughter Becky wanted a dog.But we were too
- I began working in journalismwhen I was eight. It was my mother’s idea. Sh
- When I was a teenager I volunteered to work at the water station at a 10,000m ra
- Ralph and Norton can grow to be 40 feet long and live in a tank as large as a fo
- It was one of the hottest days of the dry season. We had not seen 36 for almost
- The life of an actor appears attractive and many young people dream about becomi
- My two-year-old daughter Kate wanted a dog. But I was too busy to buy one. One d
- Wishing to encourage her young son’s progress on the piano, a mother took her bo
- Until 1954 it was thought that no man could run one mile in less than four minut
- War Horse is a historical story by Michael Morpurgo. It is written for kids ages
- One day, I received a call from a colleague. He was about to give a student a ze
- Whenever my kids have a party at school, I am the mom who always signs up to bri
- The success of Pickwick Papers made Dickens very popular. He suddenly found hims
- Zach drove over to Mary’s place. She would be his wife soon. She was in China, v
- MarkTwain,an American writer, published more than 30 books, hundreds ofshort sto
- I was in the kitchen making lunch when I saw my six-year-old son, Billy, walking
- It was one of the hottest days of the dry season. We had not seen rain in almost
- 完形填空阅读下面短文,从短文后所给各题的四个选项中,选出可以填入空白处的最佳选项。 Dad was no
- Our holidays were coming to an end but we had not yet realized our plan to drive
- 完型填空阅读下面短文,从短文后各题所给的四个选项中,选出最佳选项。One Monday mornin
- The passengers on the bus watched with sympathy as Susan made her way carefully
- One evening I went out and left my 17-year-old son and his girlfriend in charge
- Alex Wood began fundraising when he was four years old. He sold lemonade and coo
- In the fall of 1985, I was a bright-eyed girl heading off to Howard University,
- Mary Jean Price Walls graduated second in her class in 1950.She had high hopes w
- The first visit to a foreign country that I can remember was when I was about se
- It was a busy morning,about 8:30, when an elderly gentleman in his 80s came to t
- 完型填空This is a story about doing well by doing good. Sandy G
- A young woman was driving through the lonely countryside. It was dark and rainin
- 完形填空A couple of months ago I was renting a house to work from
- 完形填空(共20小题;每小题1分,满分20分)I could have easily gone through life without getting to
- 完形填空(共20小题, 每小题1分,满分20分)Soon Tommy's parents, who had recently separated (分居), w
- When he wrote The Adventures of Tom Sawyer and The Adventures of Huckleberry Fin
- Once a group of 17-year-old schoolboys decided to break the world basketball mar
- Once upon a time, there was a group of forest deer.In this group was a wise and
- 形填空When Dave was eighteen, he bought a second-hand car for £2
- 完型填空The last day of the final examination arrived. In a lar
- As a boy, Mark Twain caused much trouble for his parents. He used to play practi
- Franz Schubert was a well-known musician in the world. But he lived a very hard
- I was said to be the worst student in my class, and my family thought I was hope
- Nobody likes staying at home in a public holiday, especially when the weather is
- Zoe, Damacela, 19, didn't have nice clothes when she was young. It wasn't easy f
- 完形填空阅读下面短文,掌握其大意,然后从各题所给的四个选项中,选出最佳选项。Two friends
- I came to study in the United States a year ago. Yet I did not know the American
- 完形填空 I was on a bus one March evening. The driver didn’t 1to
- 完形填空Having lived in the house for so long, we found our kitc
- 完形填空All 34 of my students I taught at Saint Mary’s School in Morris,M
- 完形填空 Surrounded by rolling green hills dotted with horses a
- Success is often measured by the ability to overcome adversity. But it is of
- Where was I? The room was dark and quiet. My head hurt really badly. I shouted,
- 完形填空Charles Plumb, a U.S. Naval Academy graduate, was a jet fighter pilot in Vie
- 完形填空 I was on a bus one March evening. The driver didn’t 36to
- 完形填空 The moment happened 30 yours ago but it was still fresh
- Robert Burns, the son of a hard-working and intelligent farmer, was the oldest o
- 完型填空I had a friend who visited me from out of town and I wa
- I was being interviewed by a senior manager for a big company, I told him honest
- Kristy, 28, a cook in La Gross, often wondered what she’d do in a life-threateni
- The Danish (丹麦) architect of the iconic Sydney Opera House, Jorn Utzon, has died
- After the earthquake hit northeast Japan on March 11, 2011, many touching storie
- 完形填空阅读下面短文,掌握其大意,然后从各题所给的四个选项中,选出最佳选项In a land far
- That summer I drank every day, everywhere I went. I had a bottle in my drawer ne
- 完型填空阅读下面短文,从短文后各题所给的四个选项中,选出最佳选项,并在答题卡上涂黑。 Tom was
- Two good friends, Sam and Jason, met with a car accident on their way home one n
- Having returned from her round trip, the angry woman stood outside the ticket of
- 完形填空 (共20小题;每小题1.5分,满分 30分)Fred and his wife Edna went to the state fair every y
- 完形填空阅读下面短文,从短文后各题所给的A、B、C、D四个选项中,选出最佳选项Would you agree with
- 完形填空,阅读下面短文,掌握其大意,然后从36至55各题所给的四个选项中,选出最佳选项。One day Divya woke her mother up in
- One night, a little before nine o’clock, Dr Johnson was answering a telephone ca
- Albert Szent-Gyorgyi was born in Budapest on September 16, 1893. In 1911 he ente
- Once again, I was in a new school. So was a girl in my class named Lisa. That’s
- 完形填空 Mr. Jones had always wanted to make a trip into the middle of Afr
- 完形填空My husband Jack hated Christmas. He didn’t hate the true meaning of ___16___
- Last year, two days after Christmas, we kicked China out of the house. Not the c
- Even before my father left us, my mother had to go back to work to support our f
- The orderly came back in a few minutes with a rifleand some Burmans. He told
- When I was growing up in America, I was ashamed of my mother’s Chinese English.
- 阅读下面短文,从短文后各题所给的四个选项A、B、C和D中,选出最佳选项。On Sunday morning, January 29, the call woke
- 完型填空阅读下面短文,从短文后所给各题的四个选项(A、B、C和D)中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑
- I heard the bees long before I saw them.It was a very hot afternoon, and we deci
- My friends and I had just finished lunch at a hotel when it started to pour 1 .
- 完形填空You are near the front line of a battle. Around you shells ar
- Scott and his companions were terribly disappointed. When they got to the South
- Robby was 11 when his mother dropped him off for his first piano lesson. I prefe
- Born in 1949, Diana Nyad took an
- Jeanne Calment, a French woman, become a record breaker on 17 October 1995, when
- I thought my luck had run out at the end of the summer holiday. It was not the 3
- 完形填空(共20小题;每小题1.5分,满分30分)A little boy invited his mother to attend his school’s
- A person may have an idea about himself that will prevent him from doing good wo
- My father was raised in a fatherless home at a time when the family of five stru
- Loch Ness, the largest freshwater lake in the British Isles, is twenty four mile
- I still remember father spent plenty of time teaching me how to pronounce a word
- While she may be best known for her role as Hermione Granger in the Harry Potter
- “Last week,” Dr. P said “I was invited to a doctors’ meeting at the R. Hospital
- One fine day, an old couple around the age of 70, walks into a lawyer's office.
- I was in a strange city and I didn't know the city at all and what is more,I cou
- Once an Arab was traveling in the desert. When the sun went down in the west, he
- At the age of seven, I went to see my grandma in Warwick and spent the summer wi
- James’s New BicycleJames shook his money box again. Nothing! He carefully __1__
- Ben Olsen had great careers as professional players. His story tells a lot about
- Filled with sorrow, I didn’t notice the hardness of the chair I was sitting on.
- A gentle wind blew through Jennifer’s hair. The golden red sun was 36 . She was
- I am my mother’s third child. When I was born, her doctor gently explained to my
- I live in a big city. It’s noisy and dirty and I got very 36.At the weekends I l
- Years ago a farmer owned land along the Atlantic. He constantly advertised for h
- It was my first year teaching in a special needs class, and I wasn’t sure what t
- My husband, my four-month-old daughter and I set out on a five-day driving journ
- I want to tell you a story that changed my life many years ago. We were living i
- An old man lay in a hospital bed, heavily sedatedto ease the pain from
- It was black in the evening. Andy, a 12-year-old boy was unwilling to go outside
- How could I turn down an opportunity for a weeklong cruise on a luxury motorsail
- Edward Sims was born in 1892. He was the fifth child and only son of Herbert and
- Dad loved children. And he always wanted a 21family. Eventually, he got what he
- Have you ever wondered what you’d do in a moment of danger and how you’d 36 to a
- When I was six, my mother placed me in a 36.________ school. For the next nine y
- Sometimes, people are required to fill in personal information when they registe
- One winter term during college, I took a history class to fulfill a requirement.
- Florence Nightingale was born in a rich family. When she was young she too
- Robeson was born in a very poor family. At seven, he had to pick coal in a deser
- The school was across the street from our home and I would often watch the kids
- When the Berlin Wall came down in 1989, Leonard Bernstein gave a concert in Berl
- "A child is dying---out of breath!" I had just begun my working day in the city,
- Once there was a piano player in a bar. People came just to hear him play. But o
- Teary Joe was a boy with a special ability: he could cry in less than a second.I
- Soon it would be the holidays, but before that, there were year exams. All the 3
- A young man from a village called Nawalapitiya married a young woman from Maliyu
- A student went to college after 41__ all his school examinations. There he put h
- In front of the big Shibuya train station in Tokyo, there is a life-size bronze
- Every morning a woman baked Chapati, an Indian cake, for her family and an extra
- I lived on a farm with my parents and my elder brothers and sisters when I was a
- Back in the fifteenth century in Nuremberg lived a family with eighteen children
- I cheated on a unit test in math class this morning during second period with Mr
- My father had always been an alert(警觉的) observer of human character. Within seco
- A boy was walking home from school when he saw a large, tempting apple on o
- A man stayed in his house as a flood engulfed (包围) his town. Two men in a boat c
- “Where is the bus? Why is it always late?” I asked myself. I was going to be lat
- It was the first snow of winter—an exciting day for every child but not for most
- One day a few years ago a very funny thing happened to a neighbour of mine. He i
- 阅读下面短文并回答问题,然后将答案写到答题卡相应的位置上(请注意66至70四个小题后面的词数要求;每题2分,共10分)。[1]Ashley Power’s mo
- One night I decided to spend some time building a happier and closer relationshi
- Daniel Boone was born in the United States in 1734. He didn't go to school and c
- It was late in the afternoon, and I was putting the final touch on a piece of wr
- One day I took a bus with my girlfriend. It was so _6_ that we stood for several
- My sister and I have been a headache for my mother, because my father was in the
- One afternoon, I joined Charity Focus Folks to distribute food to homeless peopl
- A young man who lived in London was in love with a beautiful girl. Soon she beca
- Are you a top student in your school, or at least a top one in your class? If no
- I am a long distance runner. When I was thirty-one, I was in a serious car accid
- Anais Nin was a famous writer. Nin was born French-Cuban but lived in the United
- I take the train into work every morning from a train station near my house. I c
- Streit was an experienced safecracker who never used force —either against peopl
- I went through a training program and became a literacy volunteer last surnmen T
- Everyone wants to win a first-place blue ribbon, to be the best in something. Ev
- When I was young, I wanted to be a teacher if I grew up,simply because I wanted
- Signs can sometimes be seen at the entrance of a house, expressing that a tramp(
- An 80-year-old man was sitting in his house beside his 45-year-old son. Suddenly
- He lost his arms in an accident that took his father’s life. Since then,he has h
- One day, Wilson was walking quietly along the road when someone hit him hard on
- When I came to my new school three years ago, I was surprised at how lonely I fe
- One day, a kind woman happened to say something that hurt her best friend of man
- Matt and his wife lived in the country. Matt was very mean and hated spending mo
- Arthur Miller was born on October 17th, 1915 and died on February 10th, 2005.Ove
- It was a cold December, and Mrs. Bell wanted to do a lot of shopping. She waited
- A German who has been a volunteer teacher in the Guangxi countryside for ten yea
- When looking back at the scary situation that happened to him on Saturday, Patri
- Carl studied in our middle school three years ago. Last August his father found
- Mark Twain was asked one day if he could remember the first money he got. He tho
- Monty Roberts often let me use his house to hold fund-raising events to raise mo
- As a teenager in 1972, Bill Gates boasted that he would be a millionaire by the
- When Alice started to cycle home from Jenny’s house, she wasn’t nervous. She was
- It was only a few weeks after my surgery. I went to Dr. Belt’s office for a 36.
- 阅读下面短文,从短文后所给各题的四个选项中选出能填入空白处的最佳选项。Many years ago, whites ruled South Africa. Ap
- I watch her and her mother decorate her college dormitory room. Everything is in
- A farmer grew some vegetables in his garden. One day his wife was ill and he had
- A businessman, with a large amount of money, was walking through a remote (偏远的)
- 阅读短文,根据短文内容从A、B、C、D四个选项中选出最佳答案。 I had never been much interested in sports. I ha
- In the middle of the night, Peter's wife suddenly fell ill. She couldn't help cr
- Once upon a time, there lived many doves (鸽子) in the jungle. One day they went o
- While Andrew was getting ready for work one Friday morning, he announced to his
- Jaguar(美洲虎) was very rare. It was said that there less than 20 jaguars in the wo
- Like many men at some point, I dream about opening a bar. I plan to call it Work
- Some time ago I discovered that one of my chairs had a broken leg. I didn't thin
- It was a lazy morning during the Christmas week. We were enjoying breakfast when
- On the night of my birthday, I went with my mom to the nearest drug store to buy
- Master of Science in Information Systems (MS INSY)University of Texas Arlington
- The story happened during the Second World War. An old man lived in a small town
- This is a story that can teach us a good lesson. One day, a man in rags begged f
- A strange thing happened to me last Sunday. It was such a beautiful day that I d
- A man lost his legs in a tragic accident. After the accident, only two fingers 3
- It happened many years ago, and I was in high school then. Being a student from
- 完形填空(共20小题;每小题l.5分,满分30分)Once upon a time, there lived many doves (鸽子) in the ju
- 完形填空阅读下面短文,从短文后各题所给的四个选项中,选出可以填入空白处的最佳选项。Our three-y
- At five he was collecting old newspapers to make money.And when he was fifteen h
- In high school, George Lucas didn’t do much work because he spent all his time d
- This story happened after the First World War. A French soldier named Frank retu
- Kate said "Hello" to Mr. Patel as she entered. She picked a basket and walked to
- “This one’s for you,” Sergeant (警官) Barstow shouted and left quickly through the
- A young woman carrying a three-year-old child got on a bus. The conductor h
- 完形填空阅读下面短文, 掌握其大意,然后从各题所给的四个选项(A、B、C和D)中,选出最佳选项。Long time a
- Our three-year-old daughter Becky wanted a dog. But we were too busy to buy one.
- I was 16 and I grew up in a community called Estepona. One morning, Dad told me
- Henry found work in a bookstore after he finished middle school. He wouldn’t do
- My friend Michelle is blind, but you’d never know it. She makes such good use of
- When his book Little Princes began, Conor Grennan was planning a year-long trip
- Young Jack moved to a new house. When entering his new bedroom, he saw that it w
- There were two lovers. The man was41 cowardly(胆小的) that he always let the girlfr
- Engaged in work, Rose aged 27, reached the destination hurriedly to meet visitor
- The three superstars were arriving at the airport and a large crowd of young peo
- The air hostess (空姐) was in a small kitchen at the back of the plane, preparing
- On Sundays my father always wore that gray apron?the one with the race cars
- When I was eight years old, I had a big accident. I get scared even now when I t
- One cold, rainy night in 1979, staying on the deck of the nuclear attack submari
- 第二节 完形填空From the time each of my children started school, I
- Talking behind someone’s back is considered to be rude and mean. Such a conversa
- My husband and son took a New York-to-Milwaukee flight that was supposed to leav
- One of the best-known American writers of children’s books is Alfred Strong, or
- The homeless dog, known as Xiao Sa, has been following a team of cyclists for 24
- The professor’s house, big and untidy, stood alone at one end of a huge garden.
- Three high students become heroes after their act of saving a baby’s life. Andre
- At the onset of a northern winter, many dream of warmer climates.In 1934 the Can
- It’s Saturday morning. Tony’s sitting at the kitchen table, 36with a piece of br
- Our children grew up on peanut butter and jelly sandwiches, although my husband
- 完形填空阅读下面短文,从短文后各题所给的四个选项中,选出可以填入的空白处的最佳选项,并从答题卡上将该
- When I was 11, I had an enemy, a girl who liked to point out my shortcomings(缺点)
- While I was on my way to Walmart, I was greeted by an elder woman who was workin
- Charlie Chaplin was the first international star of the modern times. He was esp
- Captain Henry,a 98"year—old American retired fisherman,has become a first—time a
- A little boy almost thought of himself as the most unfortunate child in the worl
- The drug store was closing for the night. Young Alfred Higgins, the shop-assista
- When I was young I loved taking part in high school musicals.I loved to 36 in fr
- Hope in my armsLast year, I was invited to participate in a carnival for Tuesday
- Success is often measured by the ability to overcome adversity. But, it is often
- The accident at Lake Sherwood was in our backyard. An SUV(运动型多用途车)had gone off t
- A few weeks ago, our dog, which we had kept for more than ten years, had to be p
- When I was nine , my father was ill.I can remember my mother’s words ___16___ it
- Christmas Eve was tomorrow. I hoped one of the packages that held a camera had a
- Last Friday, after doing all the family shopping in the town. I wanted to have a
- After the quake hit northeast Japan on March 11, many moving stories that I saw
- Enid's wedding(婚礼) dress arrived at five o'clock in the evening, just seventeen
- One girl decided to study judo(柔道) although she had lost her left arm in a car a
- Until I took Dr. Offutt’s class in DeMatha High school, I was an underachieving
- Mr. Glen is a millionaire. Years ago, after returning from abroad to his motherl
- Nanjing-style paper cutting is an important part of Chinese paper cutting. It is
- It was the second day of a winter holiday in Queenstown, New Zealand, three year
- On Thursday afternoon Mrs. Clarke, dressed for going out, took her handbag with
- One day a rich man was invited to dinner at the home of one of his friends. He d
- Signs can sometimes be seen at the entrance of a house, expressing that a tramp(
- For many writers, writing stories or plays is a part-time job: to support themse
- Once there was a man who lied to eat mangoes. One day he decided to get the swee
- I stopped to watch my little girl busy playing in her room. In one hand was a pl
- Ray Travers sat back at the large desk, and looked around his plushoffice.
- The most frightening words in the English language are “our computer is down.” Y
- I was fifteen months old, a happy kid until the day I fell. It was a 31fall. I l
- I stood there outside of the classroom with the other students,waiting for the s
- In a land far away, once upon a time there was great poverty ,and only the r
- Little Robby, our neighbour’s nephew, carefully drew some water into a bowl and
- My grandma whom we all called Nanny was a solid, first-generation, Italian immig
- It was a cold, wet day when 14yearold Wasana Sanjeewa reached St. Anth
- Animal moms are great moms. You might be surprised at some of these moms.Octopus
- I was assigned to take care of this patient a couple of weeks ago and began to g
- One day when the famous American scientist Edison was on his way home, a young m
- Tracy Caulkins is known as the first American to set an American record and win
- In 1933 an unknown American called Clarence Nash went to see the film-maker Walt
- I was very disappointed not to be able to go to the jazz concert last Friday. Th
- Long ago there was a poor farmer in Russia. He had been very 1 with everything h
- Last summer I was a volunteer at a shelter (避难所)for the homeless, a place for ho
- You and I have principles(原则). And we also have opinions. I have __36___ about w
- All police officers should be made to take a fitness test every year,with a pay
- Mr Smith is an English man. He teaches English well. His English classes are ver
- Once there was an island where all the feelings lived: Happiness, Sadness, Knowl
- 阅读下面微博上的短文,然后按要求写一篇150词左右的英语短文。 I have know Li Yong, my friend, since my childho
- Once upon a time, there lived many doves in the jungle. One day they went out in
- At railway stations all across Britain next week, groups of students will gather
- Steven Jobs, the designer of Apple Computer, was not clever when he was in schoo
- One day, Raul was miles away from the small ranch (牧场)house in a large valley. E
- Smith was a landlord. He loved money very much and never gave anything to an
- A butcher watching over his shop was really surprised when he saw a dog coming i
- A young man once went to town and bought himself a pair of trousers. When he got
- Mr. Glen is a millionaire. Five years ago, after returning from abroad to his mo
- One very cold and rainy night in the winter of 2012, my husband and I were in a
- The story goes that some time ago, a man punished his 3-year-old daughter for wa
- “ Just sign here, sir,” the deliveryman said as he handed Oscar Reyna a packet.T
- My brother,Mark,died in a traffic accident four years ago. He was my big brother
- Mark was walking home from school one day when he noticed that the boy ahead of
- While Nick was on the bus, reading his newspaper, the man sitting next to him su
- I first met Annie Mae, a maid (女仆), at my parents-in-laws’ in 1959. She prepared
- Jean is a bright young lady who comes from a rich and famous family. She goes to
- When Mr. David retired,he bought a small house in a village near the sea. He
- 12-year-old John Thomas Robertson is a born train fan. "I’ve liked trains probab
- When Dave was eighteen, he bought a secondhand car for $200 so that he could tra
- An old farmer lived on a farm with his young grandson. Each morning Grandpa was
- French novelist Jules Verne (1828—1905) is often called the father of science fi
- When I was twelve years old. I went with my dad to his work—a car showroom. I wa
- Arthur Miller (1915—2005) is universally recognized as one of the greatest drama
- When my twin sons, Chad and Brad, were born, I was concerned about everything. F
- A well-dressed man entered a famous jewelry shop. He explained that he wished to
- When middle-aged Alex quit his job and made up his mind to become a self-employe
- Christmas rosesIt was the afternoon of December 24, the day before Christmas, an
- I was shopping at my local supermarket, as I normally have for years. One partic
- One of Mark Twain’s classic novels is The Adventures of Tom Sawyer. It is 36in a
- “Can I see my baby?” asked the happy new mother. The bundle (a collection of thi
- Tom was a middle-aged leather trader (皮货商) whose repeated failure in career made
- When I was young, my father used to grow carnations — a kind of flower that was
- When I was twelve years old, my father took me to see Zig Zigler. I remember sit
- Dear Sir/Madam, I am writing to 36about the fat body of a(n) 37I found in my ‘Ve
- Birthdays often involve surprises. But this year's surprise on the birthday of t
- “Forgiveness is the sweetest revenge.” I saw this wonderful old saying again in
- When I began planning to move to Auckland to study, my mother was worried about
- An expensive car speeding down the main street of a small town was soon caught u
- Years ago I had the opportunity to meet a girl who strengthened my understanding
- My name is Amanda LaMunyon. I have Asperger’s syndrome, a form of autism (自闭症).
- It was a cloudy Saturday afternoon. A group of birds were having a great time 36
- Two years ago my grandmother was going to turn 75. My family discussed what the
- Tom was a poor boy. He made a living by cleaning leather shoes for others in the
- Saturday, June 16thIn the morning, we went camping along a path in Green Natural
- An amazing teacherYears ago a John Hopkins professor gave a group of graduate st
- A man was driving at 70 miles in a 40-mile zone, when a 36came behind him. Right
- A little boy had the job of coming to school early each day to start the fire an
- One dark stormy night an elderly couple hurried into a hotel and asked whether t
- I was working as a consultant in a beer company, helping the president and senio
- Zoe Chambers was a successful PR(Public Relations) consultant and life was going
- I became lamein both legs in my childhood. I can’t stand 36the support of tw
- Mr. Harris used to work in Dover, but then he changed his work, and he and his w
- In early 2007 I had bought tickets to a Christian concert for myself and two oth
- Cameron thought of himself as merely organized. He certainly did not consider th
- My First JobJay Leno is a very famous TV host in NBC.He started his talk show ti
- Greg Woodburn, a student at the University of Southern California, spends a lot
- Lightning flashed through the darkness over Donald Lubeck’s bedroom skylight. Th
- Cheating happens a lot in our city. It can be hard to know who is really in 1and
- A very little boy was spending his Saturday morning playing in his sandbox. He h
- This is a part from US President Barack Obama’s speech on May 14 at Bamard Colle
- Mo Yan, the winner of this year’s Nobel Prize for Literature, said he is not sur
- Monty Roberts owns a horse ranch in San Ysidro. He told us his story. As a
- Last weekend, my kids along with a few other kids from the neighborhood voluntee
- When I was in medical college, I went camping with some of my friends. The seaso
- Napoleon stayed in a small inn (小旅馆). The next morning, he went to thank the inn
- A year ago, at the annual pre-Grammy party, Whitney Houston, the great star, wal
- Sudha Chandran, a classical dancer from India, had to have her right leg cut aft
- There was once a boy who was very rich and clever but nothing could make him fee
- I've spent most of my career as a traveling salesman, and so I know that 36is an
- If I raised the question, “What would be the last thing you would expect to happ
- I woke up late and had breakfast in a hurry. I had never been late and didn’t wa
- Streit was an experienced safecracker who never used force — either against peop
- "When I look back on my childhood I wonder how I survived at all. It was, of cou
- For each blank in the following passage there are four words or phrases marked A
- A policeman was questioning 3 blondes who were training to become detectives. To
- I was a publishing director and was looking forward to embracing a new day of wo
- Two men, both seriously ill, occupied the same hospital room. 36man was allowed
- I don’t remember her name and would not recognize her if I were to pass her on t
- Alfred Alder, a famous psychiatrist, had an interesting experience. When he was
- Can dogs and cats live in perfect harmony in the same home? People who are think
- My sisters and I have dreamt of a home in the city, but when the Alcott family f
- "Get out of the plane!" Justin shouted. Teddy and he dropped to the ground…When
- After forty-three years I have forgotten the name of the old lady, who was a 16o
- Michael Joseph Jackson was born on August 29,1958 in Gary, Indiana. Being the se
- A Japanese toy maker declares that they have developed a gadget that translates
- When I was young, I belonged to a club that did community service work. There wa
- Mr. Cronin has a clock shop in the center of the town. He tries his best to36 it
- One night this summer, on my way home from work I decided to see a movie. I knew
- “It was all his own idea, ” says Pat Peters, the 38-year-old wife of Palo Alto,
- Mary Buendia once spent a day in an airplane, looking for a cat. She didn't find
- Mr. Lang worked in a factory. As a driver, he was busy but he was paid much. His
- Several years ago, while attending a communication course, I experienced a most
- Early one morning, I witnessed romance at one the least-expected places in the w
- I became a gardener when I was twelve. My early 36of gardening may not have orig
- It’s impossible to determine how many people would have lost their lives without
- Charles R. Drew was a medical student at Columbia University in New York. Before
- As a child, I was told that a wise person is the one who learns from everyone. I
- My name is Chelsea Chowderhead. A chowder is a kind of soup. I was laughed at be
- Prison Break is a huge hit thanks to its handsome star, Wentworth Miller. His ch
- The young boy and his father sat quietly watching the snow fall on a snowy Satur
- Once a young man was in deep love with a girl. This man folded 1,000 pieces of p
- The young boy saw me, or rather, he saw the car and quickly ran up to me, eager
- One day at the day care centreI watched a mother try to pick up her daugh
- Ron Meyer is the president and COO of Universal Studios.As one of the mos
- A couple of years ago, I went to a lady's house to buy some vitamins. Upon enter
- One fine afternoon I was walking along the Fifth Avenue, when I remembered that
- Mr. Patrick was new to the school and to us. Even though he was a great teacher,
- Sarah came running in. She shouted happily, "Look what I ____36_____." She put a
- One day I was doing a big clean-up when I 36a knotted handkerchief with an old d
- Long long ago, there was a small village. This village had a 36tradition. At the
- When other nine-year–old kids were playing games , she was working at a petrol s
- One evening I went out and left my 17-year-old son in charge of his 8-year-old b
- A Brooklyn man who was quarreling with his girlfriend yesterday threw a dog off
- Once in Japan there lived two frogs, one of whom made his home near the town of
- As a boy growing up in India,I had longed to travel abroad. I used to listen to
- Philip was a nine-year-old boy in a Sunday school class of 8-year-old girls and
- Linda British was an outstanding teacher who felt that if she had the time, she
- Nick was not the kind of boy I had expected to spend my summer with. I was hopin
- Benjamin Franklin was born on January 17,1706 in Boston,America. In his life he
- Everyone in the village knew who Ugly was. Ugly was a_1_with many injuries. His
- This is a true story. Tristin Saghin enjoyed the movie Black Hawk Down very much
- One day Jack broke his mother’s mirror. When she saw the broken___41___ she crie
- Long ago there was a poor farmer in Russia. He had been very__1__with everything
- Richard’s father died when he was five. Later on he 36his mother. The poor boy h
- One day Marilla said, “Anne, your new teacher, Miss Stacy, spoke to me yesterday
- A Strange Greeting, a True Feeling. Last week I was invited to a doctor’s meetin
- After the Summer Olympics are over, when all the athletes have gone home and the
- One day an old woman was traveling alone in the mountains. Suddenly she saw some
- It was a quiet village in which there was a military camp (军营). It was far from
- One morning in Philadelphia, the sun shone bright through all the thick jungles
- Lao Yang was born in a small town. He liked reading when he studied at school. H
- On June 21, 1982, Prince (王子) William, the future King of England, was born. Sin
- One day my 5-year-old daughter, Mini, ran to the window crying: "A Cabuliwallah(
- Microsoft founder Bill Gates said that he planned to give away almost all of his
- There was a man who played the piano in a small bar. There were not too many36 ,
- Short and shy, Ben Saunders was the last kid in his class picked for any sports
- Lena Horne was born in Brooklyn,New York in 1917.Her mother was away for much of
- Around twenty years ago I was going through hard times. I could not find a satis
- Eleven-year-olds are to learn Shakespeare using the approaches taken by actors,
- Goldie's SecretShe turned up at the doorstep of my house in Cornwall. No way cou
- Louis Pasteur, one of the world's great scientists, was born in 1822, and died i
- Charlie Chaplin was one of the greatest and widely loved silent movie stars. Fro
- During Christmas break from college, a young man wanted to borrow his father's c
- Many years ago there lived a young couple in a small town. The husband was out o
- I walked into the grocery store not particularly interested in buying something.
- A king in Africa had a close friend with whom he had grown up. The friend had a
- I did very badly at school. My headmaster thought I was 36and when I was 14 he s
- Hilary Smith belonged to a good family.But by the age of twenty, he had spent al
- One sunny afternoon, a seven-year-old girl went for a walk. She crossed a large
- We arrived in Spain for the _36_ time a few weeks ago and I decided to buy a car
- When Mr. David retired(退休), he bought a small house in a village near the sea. H
- If you have ever been discouraged(受挫) because of failure(失败), please read on. Us
- Every time I passed boys who were playing basketball, I stopped to silently watc
- 通读下面短文,掌握其大意,然后在各题所给的A,B,C,D四个选项中,选出一个最佳答案。When I entered Berkeley, I hoped to e
- In January 1986 I saw a show about cartooning called “Funny Business” on TV. I h
- Victor’s hobby was collecting stamps. He had stamps from many countries, like En
- A businessman lost his wallet. There was plenty of money in it. So he made a pro
- Mr Clarke works in a middle school. He likes reading and often 1some books from
- Mr. Harris used to work in Dover, but then he changed his work, and he and his w
- 完型填空 从每题所给的四个选项(A、B、C和D)中,选出最佳选项。One sunny afternoon, a seven-
- Mr. Lang worked in a factory. As a driver, he was busy. Sometimes, he brought so
- Greg Woodburn, a student at the University of Southern California, spends a lot
- Several years ago I studied in a university in the biggest city in our country.
- Mrs. White was a wealthy lady. She lived 36 in a large comfortable house where
- “Experience may possibly be the best teacher, but it is not a particularly good
- In a land far away, once upon a time there was great poverty ,and only the r
- Some say every day miracles are predestined (注定的)---- All that’s necessary is re
- Dr. Martinez put on a false smile (假笑) as she entered Janet Eslin’s hospital roo
- Son’s HelpMr. Lang worked in a factory. As a driver, he was busy but he was paid
- Jonathan lived alone in a house,which he looked after carefully.One summer eveni
- 阅读下面短文,掌握其大意,然后从36~55各题所给的四个选项中,选出最佳选项。Once the King of India was ill a
- A 12-year-old boy saw something in a shop window that set his heart racing. But
- There are lots of funny stories in my childhood .The first one that 16 my mind i
- Billie Holiday was one of the greatest jazz(爵士音乐) singers in America. Her life w
- There was once a famous king whose name was Tamerlane. Like Alexander the Great,
- Robert Spring, a 19th century forger (伪造签字者), was as good at his profession that
- I was sitting at the counter having breakfast at a restaurant the other day.It'
- It was Christmas 1961. I was teaching in a small town in Ohio where my twenty se
- Liu Xiang, athlete, born in 1983Liu Xiang made his name by winning the 110-meter
- On a warm Monday, Jenny Neilson bought a sandwich and parked her car under some
- Mr. Knight was the manager of a hotel. One weekend all of the hotels in the city
- Seventeen-year-old Rivertown teenager, John Janson, was honoured at the Lifesave
- I was doing some last-minute Christmas shopping in a toy store. A nicely dressed
- Gary Locke, 61, who comes from a Chinese background and even looks Chinese, beca
- We often see dogs always put their tongues(舌头)out in summer. But 1the dogs didn’
- When I was a boy growing up in New Jersey in the 1960s, we had a milkman deliver
- When my grandfather died, my 83-year-old grandmother, once so full of life, slow
- I was working on my usual Sunday afternoon shift at the bakery. The flow of 36ru
- It was Monday. Mrs. Smith’s dog was hungry, but there was not any meat in the ho
- “Fire! Fire!” What terrible words to hear when one wakes up in a strange house
- The Colors of FriendshipOnce upon a time the colors of the world started to quar
- My earliest bee experience took place at a summer camp. One day our teacher told
- "Everything happens for the best, "my mother said whenever I faced disappointmen
- Frank Woolworth was born in Rodman, New York, in 1852. His family were very poor
- Today many people say that women have the same chance as men in society. But thi
- When I was 17,I read a quote that went something like:“If you live each day as i
- While we were riding the old German bus in Albania, a gypsy (吉普赛人) girl got on.
- Carmen’s mother Maria had just survived a serious heart attack. But without a he
- We were on tour a few summers ago, driving through Chicago, when right outside o
- Eighty-year-old retired tailor, James McKay, spent Saturday night in jail after
- Arthur Miller (1915—2005) is universally recognized as one of the greatest drama
- One day,four lawyers were riding their horses along a country road. There had be
- Life became hard when I was 14. My mother and I moved to New York to 36 my fathe
- Two years after the First World War (1914-1918), a small group of soldiers left
- We lived in a very quiet neighborhood. Earlier that evening my wife had asked me
- ABefore I started school, people felt that I was not going to be successful. At
- A few years ago, I moved into a new house in Los Angeles. Soon after, a family m
- D Wilma was born on June 23, 1940 in St Bethlehem, Tennesse. By the time she wa
- Once a man came to a wise man’s house and said, “I have many bad habits. Which
- Jenny,I often think if I am as important to you as you are to me.We had an unhap
- Would you believe that the first outstanding deaf teacher in America was a Frenc
- An artist went to beautiful part of the country for a holiday, and stayed with a
- "Colour" and "color","favourite" and "favorite" Have you eve
- You might say that Barack Obama was elected President of the US because he knows
- Once a man came to a wise man’s house and said, “ I have many bad habits. Which
- 阅读下面短文,掌握其大意,然后从1-15各题所给的A、B、C和D项中,选出最佳选项。On Thursday afternoon Mrs Clarke locke
- AMy friend Robert started a new job this week and he’s been in the training clas
- The hotel was in a 31 street and seemed to agree with one who 32 a good sleep af
- Imagine landing in a foreign country where you cannot speak the language, unders
- Here is a picture where we can see grass growing in stones strongly. This pictur
- In elementary school, Guadalupe Quintanilla was often referred to as a “slow lea
- A woman came out of her house and saw three old men sitting in her front yard. S
- I have recently completed my college degree. The last project was called “Smile
- Rome had the Forum. London has Speaker's Corner. Now always–on–the-go. New Yorke
- “I don’t believe in Santa Claus!” Trogmire announced.Tremor looked shocked. “Why
- There was a king who loved art very much. One day a(n) 36came and said, "Please
- In earliest times, men considered lightning to be one of the great mysteries of
- 阅读下面短文,掌握其大意,然后从所给的A、B、C、D四个选项中,选出最佳选项。 At the 1924 Olympic Games in Paris, the
- Michel is a young girl who works for the police 21a handwriting expert. She has
- I used to hate being called upon in class mainly because I didn’t like attention
- Bill Gates, the billionaire Microsoft chairman without a single earned universit
- A man accused of failing to return more than 700 children’s books to five differ
- When I was a baby, I entertained you and made you laugh. Whenever I was “bad”, y
- Henry Ford was the first person to build cars which were cheap,strong and fast.H
- Elizabeth Clay decided to go home and spend the holiday with her parents. The ne
- A sobbing little girl stood near a small church from which she had been turned a
- “Colour” and “color”, “favourite” and “favorite”···Have you ever wondered why Am
- Waller was a liked-by-all fellow full of fun who often went to coffee houses to
- 阅读下面短文,掌握其大意,然后从41—60题各题所给的四个选项中,选出可以填入空白处的最佳选项。 It was raining.I went
- DYou may picture firefighters holding a hose (水管) outside of a burning building
- A poor farmer had a friend who was famous for the wonderful apples he grew. One
- Marjorie Gestring Marjorie Gestring was a springboard diver from the United
- As a youngster, there was nothing I liked better than Sunday afternoons at my gr
- Once there was a king who never ate a meal unless there was a dish of fish with
- As you probably know, J.Paul Getty was one of the richest and moat successful Am
- Peanuts to ThisProudly reading my words, I glanced around the room, only to find
- 阅读下面的短文,掌握其大意,然后从41-60各题所给的四个选项中,选出最佳选项。)I was on a bus one March eveni
- Ray Travers sat back at the large desk, and looked around his plushoffice.H
- Once in a village, the villagers built a new church building and people came fro
- I went to a local post office to send a gift to Florida yesterday afternoon. Whe
- I'm feeling sad.My 19-year-old∞nleft home about a week ago to 36the Air Force,
- “Grandma, Grandma, tell us a story ! ”Four darling children sat by my feet, look
- A young man was getting ready to graduate from college. For many months he had 1
- A poor boy , named Howard Kelly , was trying to pay his way through school by se
- Girls are born to imagine, particularly those at the age of seventeen or eightee
- On April 11 Lincoln, Mrs Lincoln and two friends were spending night in talk, wh
- Mark was walking home from school one day when he noticed a boy ahead of him. He
- Once a circle lost a piece of its own. The circle wanted to be whole, so it went
- Mrs. Jones was over eighty, but she still drove her old car like a woman half he
- Two men, Alan and Henry, both seriously ill, shared a hospital room. Alan was al
- Justin Bieber used to be an ordinary Canadian boy, but his life totally changed
- It was on a summer burning afternoon in Denver.The sky was blue and the wind was
- A year ago August, Dave Fuss lost his job driving a truck for a small company in
- It was Monday. Mrs Smith’s dog was hungry, but there was not any meat in the hou
- To this day,I still remember the first day of classes exactly 30 years ago. I _1
- Alia Sabur, from Northport, N. Y., US, went to college at age 10. And four years
- Hank Viscardi was born without legs.He had not legs but stumpsthat could be
- A group of travelers were having dinner in a restaurant .While they were eating
- Frank Woolworth was born in Rodman, New York, in 1852. His family were very poor
- One morning, Charley, a little green frog, was sitting in a pond(池塘) by the side
- James Arruda Henry, a 98-year-old retired lobsterman, has written and published
- A small man went to a cinema, bought a ticket and went in. But after two or thre
- It's fourteen years since I left the Philippines to live with my family in the U
- Billy is fourteen years old and in the ninth grade. He has a 36 job which gets
- One man was to meet his wife downtown and spend some time shopping with her. He
- Have you ever wished you could solve complex math problems without thinking? Wha
- Yesterday I had a walk with a friend in the street. When we were passing by a ho
- After the earthquake hit northeast Japan on March 11, 2011, many touching storie
- When Alice started to cycle home from Jenny’s house, she wasn’t nervous. She was
- When Albert Einstein was young, he was a quiet child who spent much of his time
- Mike has loved flying since he was small. When he was three years old, his dad t
- A dog has a horse. The horse was beautiful and also it had many good qualities.
- Watson entered Mr. Smith’s office. The Boss was a hard man. He fired people who
- Mary was seven years old. Her parents recently moved to a new town, and so Mary
- What kind of pets do people have in your country? Dogs? Cats? How about a duck,
- I drove a school bus as a part-time job. Thirty-nine children all had stories to
- Hobbs was an orphan(孤儿). He worked in a factory and every day he got a little mo
- A lawyer and a young lady were sitting next to each other on a long flight. The
- A jobless man applied for the position of “office boy”at Microsoft. The HR manag
- John Smith was a writer, who wrote detective stories for magazines, though h
- White was the owner of a private school in a town. Last year, he married one of
- I had offered to watch my 3-year-old daughter, so that my wife could go out with
- I had just finished high school when a disaster hit our family. It was October 1
- A little boy was visiting his grandparents on their farm. He was given a slingsh
- A woman called Julia lived in the countryside, one year she decided to visit the
- The old man walked slowly into the restaurant. With head tilted, and shoulders b
- When I was six, Dad brought home a dog one day, who was called “Brownie”. My bro
- Stephen Hawking was born in Oxford, England, on January 8, 1942. At the age of 1
- When I was young, my father used to grow carnations(康乃馨)
- My husband hasn’t stopped laughing about the thing that happened to me. It’s 26n
- Once upon a time, a Japanese man wanted to rebuild his house. First he had to te
- Jeffrey Bezos, founder, president and chairman of the board of Amazon.com, was b
- When I was growing up in America, I was ashamed of my mother’s Chinese English.
- When most people turn 21, they spend too much time partying and having fun. But
- One dark stormy night, an elderly couple hurried into a hotel and asked whether
- A young man was getting ready to graduate from college. For many months he had 1
- No one was left in the museum now, and John was walking round to see if everythi
- Early one morning the subinspector at a station at the other end of the tow
- Susan Sontag (1933----2004) was one of the most noticeable figures in the world
- “Where is the bus? Why is it always late?” I asked myself. I was going to be lat
- Talk about a real-life hero! Ten-year-old Larry Champagne from St. Louis,Missour
- The first time I saw Carlos I would never have believed he was going to change m
- Two thieves came to a house to steal something. They dug a hole in the wall of t
- Who do you think was the most important woman of the past 100 years?Jane Addams
- Once a group of 17-year-old schoolboys decided to break the world basketball mar
- Brenda Bongos was a happy, artistic girl. She had one big ambition—to play the d
- One day when Jack was walking in the park, he saw a woman, who lived a few miles
- It was the first snow of winter — an exciting day for every child but not for mo
- According to an old story, a farmer once found that a bag of corn had been stole
- Sarah Williams went to a boarding school. Here is one of theletters she wrote to
- Mr.Gray traveled a lot on business. He sold machines of various kinds to famers,
- In 1989 an 8.2 earthquake almost flattened America, killing over 30,000 people i
- Mr. and Mrs. Wu were fed up with their neighbor. He was always borrowing things
- Jenny went to visit her friends in New York last weekend. Her friends met her at
- Once there was a poor farmer and his farm belonged to(属于) a rich man. One day he
- Nancy had just got a job as a secretary in a company. Monday was the first day s
- Henry was a carpenter of our village. Once I asked him to make a table for my fa
- I receive many letters from children and can’t answer them all – there wouldn’t
- Andy loved the first grade. He loved his teacher,Mrs.Parks. He loved playing gam
- A young woman carrying a three-year-old child got on a bus. The conductor(售票员) h
- Churchill's full name was Winston Leonard Spencer Churchill. He was born in 1874
- Bill White’s father is a lawyer. In his 56time, he likes to get out in the count
- I was 15. She looked like she was over 70. But on that day. I think she understo
- Some teachers are unforgettable. They lead by example and never lose their smile
- Roberta appeared on the stage. She took a deep breath and began to 36. Now she w
- I’d been proud that I’d never lost my cellphone until my husband Jack got a call
- The friendship between us never fades. Mary Allen was my best friend—like a sist
- In 1961 Obama was born in Hawaii, US. His father was an African and his mother w
- “It's really cool to have a dad who flies fighter jets,”thought 11-year-old Case
- Tom was taken to the police station and put in a room with another thief, an old
- I shall never forget the day when the earthquake took place. It was about 5 o’cl
- When George was thirty-five, he bought a small plane and learned to fly it. He s
- Wings of AngelI used to hate myself because I wasn't "normal". Everyone else cou
- I noticed the woman when I entered the newsroom. My secretary told me she wanted
- One day, Wilson was walking quietly along the road when someone hit him hard on
- Mr. Brown worked in a factory of a small town. He had been there for twenty year
- Jack went to a barber's shop and had his hair cut, but when he came out, he was
- My 4-year-old son now enjoys posting letters. He has formed the 36of drawing pic
- In 1957, Jane Goodall first met the famous anthropologist (人类学者) Dr Louis Leakey
- Have you ever listened to young children talking in the playground? They are alw
- Thomas Edison was one of ten said to be the greatest genius of his age. Ther
- Billy and Bobby were small boys. They were brothers, and they often fought each
- Lee Humberg, district manager for the U.S. Department of Agriculture’s Animal an
- Water costs money.In some places water is hard16 .What17 when a town has these p
- I was successful at my job. I worked very hard, but it 36 me and my family a fab
- When we read books we seem to enter a new world. This new world can be similar t
- Michael Jackson fans are coming a Chicago museum to see a 3,000 year old Egyptia
- Born into a poor family,two of the Durers' children still had a dream for art,bu
- I was sitting in class one day when a new kid came in , He was called Christian
- A man once said how useless it was to put advertisements in the newspapers.“last
- I did very badly at school. My headmaster thought I was 1 and when I was 14 he
- Terry was a middle-aged businessman. He was 36 in career and often complained th
- Bill Robinson is on trial for murder.He grew up in a small town in Ohio
- Despite being tall, Michelle Obama is much smaller than she appears on televisio
- It was Saturday when the entire summer world was bright and fresh. Tom looked at
- I was shopping in the supermarket when I heard a young voice boom from across th
- When I first got an e-mail account ten years ago, I received communications only
- A Swedish man was dug out alive after being snowed in his car on a forest track
- When Han Duan started her professional career at 16, China’s national women’s fo
- I saw the old man, with his untidy clothes and messy hair, as he dashed between
- Yesterday was my stepmother’s birthday. I haven’t been home for a long time, so
- Christmas Eve means a warm get-together with friends, a candlelight dinner, or p
- Susan Sontag (1933
- I worked for a short time as a cashier(出纳员) at a restaurant a few months ago. I
- Mrs. Evens was home from work. She had just gone into the kitchen to make the af
- Millions of girls grow up with the hope of becoming a famous singer. Some even w
- One day a heavy storm hit a village. Nothing was ____41____ but a rock fell from
- Last year was the first year when I taught the fifth grade. Recently, I’ve been
- Gary is very popular in his college and nearly everybody knows him. He is a bask
- Long long ago, there was a small village. This village had a 36 tradition. At th
- Tracy Wong is a well-known Chinese-American writer. But her writing 41was someth
- It’s 10:30 p.m. and 11-year-old Brandon Blanco is sound asleep at home. Suddenly
- A man and his family were in Europe. Once they needed to drive 3 days 36, day an
- Mr. Backer is a kind-hearted man. Once he gave some food to a poor woman . Mr Wh
- Steve Jobs, Apple’s chief executive, made his first public appearance since goin
- A student went to college(大学) after_41_ all his school examinations. There he pu
- HOLLYWOOD(UPI)—Loni Anderson decided last year it was time to change her career
- College was the best of times and the worst of times for me. I met the best frie
- A school teacher decided to let her class play a game. The teacher told each chi
- One day a mime(哑剧演员) is visiting the zoo and wants to make some money as a stree
- Although in 1947 we were still very new to the atomic age, we knew about mushroo
- When I wandered along a path through woods in the countryside, a small water poo
- Charles Dickens (1812-1870), the great nineteenth century English novelist, was
- When I was eight, I saw a movie about an island that had an erupting volcano and
- Having lived in the house for so long, we found our kitchen looked old. We decid
- People often say that the Englishman’s home is his castle. In this sense they me
- It was the summer of 1965. DeLuca, then 17, visited Peter Buck, a family friend.
- If you asked high school girls to name their favorite sports, most would probabl
- Everybody has had at least one experience from which he knows the meaning of lif
- Long long ago people made fires from lightning(闪电)。 But they had to keep the fir
- After graduation I returned home to my small town in Indiana. I didn’t have a jo
- I always think my spoken English is so poor that I can’t communicate withnative
- Christopher Columbus was born in Genoa, Italy. He was the oldest of five childre
- 40 years ago the idea of disabled people doing sport was never heard of. But whe
- Miss Lovely began to work in our office last year. She thought she was 36 and ha
- Tom appeared on the sidewalk with a bucket of whitewash and a long-handled brush
- A wise man was visiting the Ganges, a river which flows through northern India,
- I was 230 pounds this spring and I decided to get down to a healthier 200.In a h
- Michel is a young girl who works for the police as a handwriting expert. She has
- Once when I was six years old I saw an amazing picture in a book called True Sto
- Teens are more likely to behave badly if their parents expect them to,a new US s
- For the past two years, 8-year-old Harli Jordean from Stoke Newington, London, h
- Everyone agrees that all the creatures want happiness and are afraid of pain and
- After a very busy afternoon,as I walked into my house,I heard the phone ringing.
- On the night of May 9, 2011, musician Gao Xiaosong ran his car into three other
- My husband can plan wonderful surprise celebrations for me.Recently,however,I to
- Have you ever done something silly that made you feel so embarrassed? Well,
- My mother used to ask me what is the most important part of the body. Through th
- One of the best-known American writers of children's books is Alfred Strong, or
- A man once said how useless it was to put advertisements in the newspaper. “Last
- There was once a farmer who had a fine olive orchard. He was very hardworki
- On May 23,1989, Stefania Follini came out from a cave at Carlsbad , New Mexico.S
- One sunny afternoon, a seven-year-old girl went for a walk. She crossed a large
- About this time every year, I get very nostalgic(怀旧的). Walking through my neighb
- My father had always been an alert observer of human character. Within seconds o
- “My work is done.” Those words were some of the last penned by George Eastman. H
- Tess was eight years old. Her little brother Andrew was very sick and their pare
- I lost my sight when I was four years old by falling off a box car in a freight
- One of the greatest contributors to the first Oxford English Dictionary was also
- 下面文章中有5处需要添加小标题,请从以下选项中选出符合各段意思的小标题,并在答题卡上将该项涂黑,选项中一项为多余选项.A.Learn Ever
- Ever since I was little I loved doing things for other people. As I got older I
- Three Boys and a DadBrad closed the door slowly as Sue left home to visit her mo
- In this age of Internet chat, videogames and reality television, there is no sho
- A car drew up outside the Swan Hotel and a young man got out.Pausing only for a
- I passed all the other courses that I took at my university, but I could have ne
- It’s good to make mistakes, and here is why.First of all, mistakes are a clear s
- One dark stormy night, an elderly couple hurried into a hotel and asked whether
- I got my first driver’s license in 1953 by taking driver education in my first y
- Searching for airfares (飞机票价) often seems like a game that passengers are bound
- Two men dressed as police officers stole about $200 million worth of art from th
- It was a warm March evening,and I’d just taken a seat on the bus that would take
- A few months ago as I wandered through my parents’ house, the same house I grew
- Watching some children trying to catch butterflies one hot August afternoon, I w
- [1]Perhaps you are an average student with aver
- A man has returned three library books to a Melbourne library—21 years overdue(误
- I believe that families are not only blood relatives, but sometimes people who s
- I stood outside New York's Madison Square Garden and just stared, almost speechl
- Vincent van Gogh was not always an artist. In fact, he wanted to be a(n) __21and
- Maybe ten-year-old Elizabeth put it best when she said to her father,“But,Dad,yo
- There is one word that is on the lips of Americans , day and night , “Sorry”.One
- Here’s an unusual story: a diamond ring was recently found in an egg. The magici
- Betty and Harold have been married for years.But one thing still puzzles old Har
- A year ago, I paid no attention to English idioms, ____36___ my teacher said aga
- My First Trip in the United States I still remember my first day in the U. S. ve
- “Everything happens for the best,” my mother said whenever I 36disappointment. “
- As a young man, Al was a skilled artist.He had a wife and two fine sons.One nigh
- About ten years ago, I was on a plane going west, and a young woman boarded and
- Madame de Stael says that only the people who can play with children are able to
- The International Space Station allows astronauts to live in space for extended
- Victor’s hobby was collecting stamps. He had stamps from many countries, like En
- JK Rowling, the Harry Potter author, has signed a deal with Little, Brown and Co
- One day, while a woodcutter was cutting a branch of a tree above a river. When h
- Spend a pound to win a penny Some people were steaming peas under a tree in orde
- In 1898 an 8.2 earthquake almost flattened America, killing over 30,ooo people i
- Years ago while lying in my hammockand drinking JD from the bottle, I notice
- Jessica Alba rebelled(叛离) from her "strict" parents when she was just five. The
- Most people in the world like to enjoy nature. Travel is one of the most popular
- I was in a department store with my mom, aunt, and my sister a few days ago. 16
- My first job was at a local restaurant, where I worked for seven years and learn
- Famous as “the king of chefs and the chef of kings,” Auguste Escoffier helped ra
- When I was a young student, a Chinese teacher told us, “If you make one close fr
- Tom arrived at the bus station quite early for the London bus. The bus for Londo
- When Mrs.Joseph Groeger died recently in Vienna,Austria,people asked the obvious
- Driving to a friend’s house on a recent evening, I was attracted by the sight of
- I got my first driver's license(执照)in 1953 by taking driver education in my firs
- I had the meanest mother in the world. While other kids ate candy for breakfast,
- Emma Hart Willard (1787—1870) was an American pioneer educator. In her time, col
- One cold rainy evening last October, as a medical student, I was in a hospital,
- “TODAY is a dream comes true. I have always wanted to be a Grand Slam (大满贯) cham
- It’s parents’ worst nightmare. Their child doesn’t come home one evening and is
- When I was a kid, I used to spend hours listening to Adam Carolla and Dr. Drew P
- Henry works in a factory. He comes from a poor family and was in school for only
- Forty years ago Sadie left her drunk and violent husband. Needing shelterfor
- The writer Margaret Mitchell is best known for writing Gone with the Wind, first
- Years ago in Scotland, the Clark family had a dream. Clark and his wife worked a
- What on earth does happiness mean? I can’t give you its exact definition, but I’
- Betty Skelton was often called “The First Lady of Firsts’’ because of the many r
- When he was a boy, Tim was much influenced by the books about the sea, but i
- The story is told about what happened on a flight between a passenger and an air
- The story happened years ago,when my daughter was still little.I was driving acr
- When I was a teenager I volunteered to work at the water station at a 10,000 m r
- I will never forget what happened to me that day. That afternoon,I was sitting a
- It’s 10:30 p.m., and 11-year-old Brandon Blanco is sound asleep at home. Suddenl
- Last Friday my brother and I were driving home together after doing some shoppin
- GU Zhaodi, 60, had taken water for granted for years. In fact, no one in the bea
- As educators, we often never know the influence we have on our students. It is a
- Once there was a very brilliant, creative and learned man. He gained much ____36
- When Ben Franklin was very only a boy, he always wanted to know about things. He
- As a single mother,I had to do two jobs,which kept me very busy.Two months ago,I
- On the IraqSyria border,a pack of wild dogs circled American soldiers for f
- I shall never forget the day when the earthquake took place. It was about 5 o’cl
- I will probably remember one June day seven years ago for the rest of my life. M
- Robert Frost was one of America’s best known and most honored serious writers. B
- For several years, Americans have enjoyed teleshopping watching TV and buying th
- In early autumn I applied for admission to college. I wanted to go nowhere but t
- My bike was a three-speed English “racer”, purchased during my second year in co
- Roger was a thief,but he wasn't very clever. When he was in school, he stole app
- The name of our restaurant is Mediterranean Seafood Restaurant. When you hear th
- Sam, a dog, was left behind in Colorado while his owners, Mr. And Mrs. Green mov
- Patti discovered the meaning of running when she was 23. At that time she was sm
- A good memory is a great help in learning a language. Everybody learns his own l
- I grew up in a house where the TV was seldom turned on and with one wall in my b
- A year ago I paid no attention to English idioms, 21 my teacher said again and a
- It is well known that Einstein was the father of the famous Theory of Relativity
- My husband, Micheal, and I were at a restaurant with his boss, a rather stern(严厉
- I grew up poor — living with six brothers, three sisters and my mother. We had l
- Johann Gutenberg, who worked as a goldsmith(金匠),took what has already been disco
- With five breakout games, Jeremy Lin has become the NBA's newest star.In
- Mother Teresa was born in Yugoslavia, on August 27th, 1910. She attended the gov
- "Get out of the plane!" Justin shouted.Teddy and he dropped to the ground,...Whe
- I did very badly at school. My headmaster thought I was ____36____ and when I wa
- When my twin sons, Chad and Brad, were born, I was concerned about everything. F
- I tend to accept any idea put forward by experts on TV. One day, a sociologist(社
- In the dining room of my grandfather’s house stood a massive grandfather clock.
- Many jokes are made up about famous people. Here is one about Bill Clinton, the
- As a music teacher for twenty-seven years I have always known that music touche
- Around twenty years ago I was living in York. 36 I had a lot of experience and a
- In 1826, a Frenchman named Niepce needed pictures for his business, but he was n
- As she walked round the large shop, Edith realized how difficult it was to choos
- A mouse looked through a crack(缝隙) in the wall to see the farmer and his wife op
- The party began shortly after Mr. Wood ,who lived in the flat below ,signed (叹息)
- After spending a year in Brazil on a student exchange program, her mother recall
- Frankenstein is one of the world’s most famous horror stories. It’s about a doct
- Charlie Chaplin was the first international star of the modern era(年代). He was
- A gentle wind blew through Jennifer's hair.The golden red sun was 46.She was on
- I'm glad you showed great interest in what is happening in China. You are right.
- It was 1961 and I was in the fifth grade. My marks in school were miserable and,
- A few days ago I got a call from my old college friend whom I haven’t seen for a
- People often said Thomas Edison was the greatest genius of his age. There are on
- We come by business naturally in our family. Each of the seven children in our f
- Dinah is one of the most good-natured children that ever lived, but she is very,
- Bardithch High School decided to have an All-School Reunion. Over 450 people cam
- The Golden Compass is the first movie based on the Philip Pullman’s bestselling
- I liked climbing things when I was a baby. My mother remembers and has told me m
- One afternoon,my son Adam asked me, "Are all people the same even if they are di
- Spring is coming, and it is time for those about to graduate to look for jobs. C
- A new study suggests that the roundtheclock availability that cell pho
- Last night I had the best gift ever. My older son was reading a detective novel
- “Mama, when I grow up, I’m going to be one of those!” I said this after seeing t
- A boy selling magazines walked up to a house people seldom visited. The house wa
- When Frida Kahlo's paintings were on show in London, a poet described her painti
- Barditch High School decided to hold an All-School Reunion. Over 450 people came
- One Saturday afternoon, a six-year-old girl went for a walk. She crossed a large
- One day while shopping in a small town in southern California, it was my misfort
- Once there was a very brilliant, creative and educated man. He gained much 36wh
- One sunny afternoon, a seven-year-old girl went for a walk.She crossed a large a
- Joey is loyal, encouraging and self-sacrificing, always putting others’ interest
- There has been an outpouring of love for, a 23-year-old disabled woman whose dog
- At exactly eleven Sir Percival knocked and entered, with anxiety and worry in ev
- Amy and Mark Blaubach were very excited about adopting a child from an orphanage
- Some people believe that a Robin Hood is at work, others that a wealthy person s
- I bent down in the shade under a sixty-foot-tall cactus, waiting for them t
- Ena was very pretty and kind. ____41____, when she woke up and stretched(伸展) her
- Einstein was the greatest scientist of his age. But he was almost as strange as
- When I was nine, my family and some friends took a trip. During the trip some me
- Diana Velex does everything with maximum effort — and at maximum speed. That 41l
- John Fisher, a builder, and his wife Elizabeth wanted more living space, so they
- The fictional Chinese-American detective Charlie Chan was the subject of popular
- When I was eight, I saw a movie about an island that had an erupting volcano and
- In the kitchen of my mother's houses there has always been a wooden stand with a
- John was waiting for the girl whose heart he knew, but whose face he didn’t, the
- One cold night, I was growing sick of my life in San Francisco.There I was walki
- A little boy invited his mother to attend his school’s first teacher-parent meet
- Barditch High School decided to hold an All-School Reunion.Over 450 people came
- Dou Kou, a Chinese boy, is called “the youngest writer in the world”. He has wri
- Mayor Boris Johnson Monday outlined plans to make London “the cleanest” by the 2
- With a determined(坚定的) look on his face, Chicago’s Michael McCarthy held on to t
- At Priya's wedding party, her mother gave her a newly opened bankbook and said,
- I fell in love with music from a young age and often sat down making a few songs
- For thirty years, Johnson arrived at work at 9A.M. exactly. He never missed a da
- In the more and more competitive service industry, it is no longer enough to pro
- When I woke next morning, I was dying of 36 .I seemed to have a hole instead of
- The famous director of a big and expensive movie planned to film a beautiful sun
- When I began planning to move to Auckland to study, my mother was worried about
- Early one morning the sub-inspector at a station at the other end of the town ra
- A teacher let her class play a game. The teacher 36each child to bring a bag 37a
- An old man once had an argument with his only son. He tried to __36__ many times
- A jobless man applied for the position of "office boy" at Microsoft. The manager
- The story happened on a hot heavy rainy day. After class, I took a few bottles t
- Each spring brings a new wildflower blooming in the fields along the highway I t
- I’m a 20-year-old boy, and the following is my story.A month after I graduated f
- I once did a year of voluntary service in a residential home for people with lea
- A group of graduates got together to visit their old university professor.The co
- At the time my son was born in 1956, I shared a hospital room with a young woman
- Last Friday my brother and I were driving home and had a fun conversation. So ab
- Afraid that her son would be too tired, Ms. Wendy would sometimes tell the boy t
- It’s certain that the following tale is a nice example that can teach us a good
- Thomas Alva Edison was awarded more patents on inventions than any other America
- The leaves flutteredover Josh’s head. The park near his home had always
- Howard Dill is a giant among giant pumpkin(南瓜) growers. He grew world champion p
- One of my most unforgettable experiences is the day I finished my tough rowing a
- As you grow older, you’ll be faced with some challenging decisions—like whether
- Lynn was a young French Canadian girl who grew up in the farming community. At t
- Parents’ blessing will play a great part in the growth of their children. My fat
- Sitting on the peaceful coast of Galapagos Islands, Ecuador, watching the sun mo
- When we see well, we do not think about our eyes very often. It is only when we
- It was raining. I went into a café and asked for a coffee. 36I was waiting for m
- It was raining. I went into a cafe and asked for a coffee. 36I was waiting for m
- Brownie and Spotty were neighbor dogs who met every day to play together. Like p
- In a room at Texas Children Cancer Center in Houston, eight-year-old Simran Jata
- It was a Sunday and the heavy storm had lasted all night. The morning after the
- In the clinic, I asked if Michael could be retested, so the specialist tested hi
- Australia is the smallest continent in the world. It is a little smaller than Ch
- I travel a lot, and I find out different “styles”(风格) of directions every time I
- I really love my job because I enjoy working with small children and like the ch
- Several years ago, while attending a communication course, I experienced a most
- Once there was a young woman who didn’t like her job. Everyday when she came hom
- My husband and I insisted that our children were old enough to clean their rooms
- When I met him, I had a lot of anger inside of me.I never had a father, though i
- DU Lala is the hottest career coach in the country. The fictional character in t
- On Sunday while I was having my own Father’s Day celebration, I thought about my
- My father brought home a sailboat when I was ten, and almost each Sunday in summ
- I take the train to work every morning from a train station near my house. I can
- Last year, on the night before the first day of the Spring Festival, Hugo Pang w
- By my third day in the hospital, I realized Tom didn’t visit. I couldn’t underst
- Have you ever heard the old saying ,"Never judge a book by its cover" ?This is a
- Ginny Ruffner is one of the best-known glass artists in the United States. Her o
- One Monday morning, the class were excited about the rumorthat the science r
- There was a boy in India who was sent by his parents to a boarding school. Befor
- Some years ago when I was in my first year in college, I heard Salome Bey sing f
- I remember as a small child people would often ask me, "What are you going to be
- A young student was one day taking a walk with a professor, who was commonly 21t
- Mr. Scott has worked at a police station since he left army five years ago. He’s
- Nancy had just got a secretary’s job in a big company to work in the sales depar
- To Whom It May Concern: On March 5, 2012 , I bought a Perfect Muffin Kit(松饼粉 ) f
- Florence Nightingale was born in a rich family. When she was young she took less
- I will never forget the year I was about twelve years old. My mother told us tha
- There are a number of special days of the year that are celebrated in different
- In the year after my mother left us, my father was 42 and he knew that he wasn’t
- William Shakespeare is the most famous playwright (剧作家). Although he died in 161
- Boxing games are truly widely supported by a lot of people over the world . The
- At the age of 15,I paid my first visit to Disneyland in America. It wasn't the f
- We were flying to a meeting. I was in the middle 36.I found that the young woman
- His name was Fleming, and he was a poor Scottish farmer. One day, while trying t
- I had been rather proud of myself when my friends and family got the ticket,whet
- Nick is a 14-year-old school boy. His life is full of exams and studies on weekd
- “Everything happens for the best,” my mother said whenever I faced disappointmen
- In 2003, Bethany Hamilton,13, lost her left arm to a shark attack while surfing
- A farmer had some puppiesto 36. He painted a sign advertising the puppies an
- His first successful fight was for the equal rights of black people in South Afr
- That cold January night, I was growing sick of my life in San Francisco. There I
- Grandfather was an elder Cherokee Native American who had a wrinkled, nut brown
- Learning to AcceptI learned how to accept life as it is from my father.21_,he di
- Everybody may have seen the film “Death on the Nile (n. 尼罗河)”, but nobody can im
- Five years ago, David Smith wore an expensive suit to work every day. “I was a c
- Henry Ford was the first person to build cars which were cheap,strong and fast.H
- Anne and Joseph are talking about an interesting question. Why do some people ch
- Australia has passed regulations that will enable more international students to
- Apple Inc co-founder and former CEO Steve Jobs, counted among the greatest Ameri
- My 8-year-old son, Kevin, has made friends with some boys in the neighborhood. H
- Half a century after the March of Dimes (a US charity organization that collects
- “Hi, Mommy, what are you doing?” asked Susie, who was only six years old. “I’m m
- There is a very special wolf that lives in Africa. They are actually called, the
- Vincent Willem van Gogh (30 March, 1853---29 July, 1890) was a Dutch Post-Impres
- There was a wonder-filled little girl who was hurt so badly that when she entere
- “Big boys don’t cry.” I heard those words a lot 36up in America in the late sixt
- The beggar’s well-deserved dinnerMany years ago, there lived two woodcutters, Ra
- Tony Burke, Australia’s environment minister, says he won’t decide until next ye
- I can honestly say it was the best of times and the worst of times.I was joyfull
- The other day, I received a most unexpected message in response to one of my ess
- It was Monday. Mrs. Smith's dog was hungry , but there was not any meat in the h
- Perhaps every older generation since ancient times has complained about young pe
- Recently, I have begun to do rides with a group of guys who ride professionally
- One evening I heard a loud crash in our quiet neighborhood. 26that evening, my w
- When I was six years old, my mom told me that I could find anyone's number in th
- Many years ago three soldiers, hungry and tired of battles, came upon a small vi
- There once lived a young man who was always unhappy and complained about his pov
- Steve, a twelve-year-old boy with alcoholic parents, was failing. Surprisingly,
- 阅读短文,根据短文的内容判断正误,正确的涂A,错误的涂B。When my grandmother was raising me in Stamps,Arkans
- In the early 1950s, researchers found that people scored lower on intelligence t
- That cold January night, I was growing sick of my life in San Francisco. There I
- As Christmas drew near, Ursula was faced with just that problem. She had come to
- Oscar the cat seems to have an unnatural ability for predicting when nursing hom
- Now we can see a man and his wife at the breakfast table. They are not speaking
- Twenty years ago I drove a taxi for a living. One night I went to pick up a pass
- I lost my sight when I was four years old by falling off a car and landing on my
- Thanksgiving(感恩节) Day was near. The first grade teacher gave her class a fun tas
- One day a famous actor had just got into the train with all his luggage when a y
- As a young girl, Margaret “Mattie” Knight never played with dolls, preferring to
- It feels like every time my mother and I start to have a conversation, it turns
- When I was growing up, I had an old neighbor named Dr. Gibbs. He didn’t look lik
- One day a police officer managed to get some fresh mushrooms(蘑菇). He was so 26wi
- Two thieves came to a house to steal something. They dug a hole in the wall of t
- As she walked round the large shop, Edith realized how difficult it was to choos
- Studying volcanoes is a demanding profession. Hazel Rymer frequently has to stru
- When I was thirteen, my family moved from Boston to Tucson, Arizona. __36__the m
- I was sitting in the surgical waiting area at the hospital waiting for word of m
- Humor is a most effective, yet frequently neglected, means of handling the diffi
- It was at a concert that I happened to find David. He was holding his head at a
- My husband and I both work at home. We have four children, so the times when I a
- Did you ever wonder who invented products like Liquid Paper, Kevlar or paper bag
- I went to my favorite restaurant one evening to have supper. I knew the owner ve
- Name: Julia RosettiEmail: n1950215@droid.fit.qut.edu.auLocation: Brisbane, Austr
- Mr. Glen is a millionaire. Five years ago, after returning from abroad to his mo
- John, an academically(学术上) excellent young man, went to apply for a management p
- Some years ago I was offered a writing assignment that would require three month
- Diana Velez does everything with great effort---and at maximum speed.That 21lear
- When Julie was a child, she was a very big fan of animals. As a result, 36 she e
- Ronaldo Luiz Nazario de Lima was born on 22 September 1976 in a poor suburb of R
- My wife and I used to feel that it was impossible to be a true friend to someone
- An old man had been working for many years for a town. His job was to clear away
- A student went to college(大学) after 36__ all his school examinations. There he p
- After attending a conference, I returned to my hotel room late one evening.The o
- It all started at the beginning of this term. At first, Carmen wasn’t really sur
- More Than I Had Dreamed OfFrom the time I was seven, I had a dream of becoming a
- We were driving along the village of Simdara. I 36 to my right and saw an old sh
- When I was a law professor, a student reported that I made an error in grading h
- Once Dr. Mellinkoff invited me to join him at the hospital to discuss interestin
- Gregory Olsen is not an astronaut. He is a 60-year-old businessman from New Jers
- We arrived in Spain for the first time a few weeks ago. I decided to 31a car bec
- Zhang Lili, a 29-year-old middle school teacher at the No 19 middle school in th
- It was the last day of the final examination in a large eastern university. On t
- One morning Raman, a true master of the art of archery (箭术), invited his favorit
- A year ago August, Dave Fuss lost his job driving a truck for a small company in
- Not many foreigners can say that they have lived in China for as long as I have.
- Even though it was only October, my students were already whispering about Chris
- My friend got married. His mother carried two bags of cotton from the countrysid
- Helen Thomas, born on August 4, 1920, is a famous news reporter, a Hearst Newspa
- Nick was not the kind of boy I had expected to spend my summer with. I was hopin
- Pulled from the rubble of the big earthquake after eight days of unimaginabl
- A couple from Minneapolis decided to go to Florida for a long weekend to warm th
- Jane’s mother worked on the farm from dawn till dark, which just could make ends
- Though he wore his whiskers (颊须) only four years, today we can hardly think of A
- In 1901, H. G. Wells, an English writer, wrote a book describing a trip to the m
- It was one of the happiest times of my life. I was 29 and had just received my b
- A driver stopped his car on a street side to have a rest. As he lay down in the
- When a first-time father saw his newborn son, he immediately noticed the baby's
- It is well known that Albert Einstein was one of the greatest scientists of all
- My neighbor’s children love playing hide-and-seek (捉迷藏) as all children do, but
- I know I should have told the headmaster at the time. That was my real 21 .He ha
- Catch yourself daydreaming while washing the dishes again? If this happens often
- About six years ago I was eating lunch in a restaurant in New York City when a w
- Last weekend, my kids along with a few other kids from the neighborhood voluntee
- When Sang Lan got to the Goodwill Games held in New York, she felt very happy. S
- Senior citizens are permitted to travel cheaply on a bus if they have a special
- Joe came to New York from the Middle West, dreaming about painting. Delia came t
- Fat and shy, Ben Saunders was the last kid in his class picked for any sports te
- My mother really knows how to get others to do what she suggests. Besides my fat
- My husband and I sat outside. A small child about three came up the street, acco
- Alice’s Adventures in Wonderland is one of the most loved children’s books of al
- Wherever she goes, Molly leaves her mark. Without saying a word, she speaks to p
- 阅读下面短文,从短文后所给各题的四个选项A.B.C.D中,选出可以填入空白处的最佳选项。In the clinic, I asked if Michael co
- One night about nine o’clock, Dr. Eyck, a surgeon, had a phone call from Dr. Hay
- My daughter recently asked me what a Travel Agency does. There is one located on
- It was a bitter, 36evening in northern Virginia. The old man’s beard was 37by wi
- This is the letter that Mr. White wrote before his death about his three books f
- Picking tomatoes For as long as I can remember, Grandma’s plentiful tomato garde
- "Super Dan", as top-seeded Lin Dan of China is better known in the badminton(羽毛球
- Galaxy saw a man and a woman who communicated with the sign language at the trai
- A long time ago, there lived a poor man whose real name has been forgotten. He w
- I'd been travelling for long hours on a lonely country road when I had a flat ti
- Every Friday we have a fire alarm test at nine o'clock sharp, and even though th
- In 1990 a report was published about what the earth might be like 20 years from
- The personal computer has overtaken the family dog as man's best friend.accordin
- Lisa was running late.She had a lot to do at work, plus visitors on the way; her
- Dr. Jack M. Gwaltney, Jr. a professor at the University Of Virginia School Of Me
- A few years ago, Pioneer Hi-Bred International, where I was employed. purchased
- We once had a poster competition in our fifth grade art class.“You could win pri
- A famous teacher was speaking to the students at our school. He began his lesson
- The passengers on the bus watched sympathetically as the attractive young woman
- Chinese female film stars, like Gong Li and Zhang Ziyi, due to the charm of thei
- I was walking along the main street of a small seaside town in the north of Engl
- One sunny afternoon, a seven-year-old girl went for a walk. She crossed a large
- Dorothy Brown was very happy as she sat in the theatre listening to the music.To
- Barditch High School decided to an All-School Reunion. Over 450 people came to t
- One Tuesday evening in the beginning of the fall 1996 semester at Shippensburg U
- On a Friday night, a poor young artist stood at the gate of the subway station,
- I fell in love with Yosemite National Park the first time I saw it, when I was 1
- A group of graduates got together to visit their old university professor. They
- Around twenty years ago I was living in York. 21 I had a lot of experience and a
- Disease, poverty, hate, love—Charles Dickens’ stories opened his readers eyes to
- The audience starts to scream and young people all over Britain turn on their TV
- Last night I was driving from Harrisburg to Lewisburg,distance of about eighty m
- Without any hesitation, he said, “I’d be better off dead.” Hearing those words c
- I had to knock on the taxi to get his attention. Finally, the driver, a man abou
- At exactly eleven Sir Percival knocked and entered, with anxiety and worry in ev
- A group of graduates got together to visit their old university professor.The c
- An “apple polisher” is one who gives gifts to win friendship or special treatmen
- Some people believe that a Robin Hood is at work, others that a wealthy person s
- Buster Brown was a thief and a good one too,he thought. He’d never been caught
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- I tend to accept any idea put forward by experts on TV. One day, a sociologist p
- When I was in the third grade, I was picked to be the princess in the school pla
- NBA commissioner David Stern was in Orlando on Thursday night, getting ready for
- I became a gardener when I was twelve. My early__36___of gardening may not have
- American magician David Blaine left the glass box in which he had lived for 44 d
- It was lunchtime and I walked into a small branch office on the West Side. I had
- Three Boys and a DadBrad closed the door slowly as Sue left home to visit her mo
- One summer evening I was sitting by the open window, reading a good but rather f
- We all know something about Thomas Edison. He was a great American 21.He was in
- The Basics of Math—Made ClearBasic Math introduces students to the basic concept
- What makes a gift special? Is it the price you see on the gift receipt? Or is it
- This is my third story.When I was seventeen, I 36a quote that went somethin
- About twenty of us had been fortunate enough to receive invitations to a film-st
- After seating myself in my room and turning on my computer, I noticed a Post-it
- One of the greatest contributions to the first Oxford English Dictionary was als
- Early in the 16th century men were trying to reach Asia by travelling west from
- Lightning flashed through the darkness over Sibson’s bedroom skylight.Sibso
- It was the first day of school. I stood up to look around when a gentle hand tou
- I could have easily gone through life without getting to know one of the most ro
- Visitors can find a small, old house called the O. Henry Museum in central Austi
- When I was a child of seven years old, my friends, on a holiday, filled my pocke
- Mark Twain left school when he was twelve. He had little school education. In sp
- Cyberspace, the connections between computers in different places, considered as
- Two brothers, Herbert and James, lived with their mother and a cat named Edgar.
- On August 26, 1999, New York City experienced a torrential downpour. The rain ca
- In Greek mythology, the gods punished Sisyphus by forcing him to roll a roc
- Steve Jobs made technology fun.The co-founder of Apple died last Wednesday at t
- Apple Inc co-founder and former CEO Steve Jobs, counted among the greatest Ameri
- Sometimes, something that is considered to be negative turns out to be an advan
- A doctor was once teaching a class of medical students at a famous hospital in E
- A woman whose sports car was stolen with her dog in it put up notices all over t
- In 1971 a young man who grew up very poor was traveling across the country, tryi
- One evening in February 2007, a student named Paula Ceely brought her car to a s
- Miss Green was watching TV. Suddenly the program stopped. “Now we broadcast an i
- For five days, Edmonton’s Downtown Park is transformed into one huge stage whe
- Ammie was only 18 months old when she had an accident that scarred her for life.
- Michael O’her lived alone with his father, and the two of them had a very specia
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- An old man went to live with his son, daughter-in-law, and 4-year-old grandson.
- One morning, a blind boy sat on the steps of a building with a hat by his feet.
- The tradition of birthday parties started a long time ago. There are some tradit
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- 根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。选项中有两项为多余选项。Are you truly happy? Do you ever know w
- Like any good mother,when Karen found out that another baby was on the way,she d
- You’re standing with your classmates. Everyone is talking—except you. Perhaps yo
- There are several ways you can find out about the countries and places you wish
- In America,Virginia Beach has all the elements of a classic seaside resort:brill
- Zhao Wenxuan,a film star from Taiwan,has been fond of seeing films since his chi
- Plants are very important living things. Life could not go if there were no plan
- A man hired a taxi outside the airfield.The cab had a woolen carpet with 36lace
- Here is a story told about an American general who was a very important figure i
- If I were writing a history of my family, some of the darkest moments recorded w
- The common cold is the world’s most widespread illness, which is plagues(疫病) tha
- Driving home from work one evening in the heavy rain, I found a very wet, injure
- Some students get so nervous before a test, they do poorly even if they know th
- My father was Chief engineer of merchant ship, which was sunk in Word War II. Th
- In James Cameron’s fantasy films, such as Avatar and The Abyss, the unexplored i
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- For the past two years, 8-year-old Harli Jordean from Stoke Newington, London, h
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- Tom arrived at the bus station quite early for the London bus. The bus for Londo
- Minh Pham was born in Vietnam. He left there when he was 21 years old. Minh has
- My husband had just bought a new washing machine for me . I decided to use it th
- A farmer had a cow.A farmer had a cow. He took very good care of this cow and on
- The hardworking businessman Jones used to work all day in his shop and so hard-w
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- Henry Loomis served as director of the Voice of America for seven years starting
- He was a hero that saved two children from the jaws of a cougar(美洲狮). Standing b
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- Obama Still Smokes in SecretUS President Barack Obama has just made life more di
- Jean—Francois Millet (October 4,1814----January 20, 1875) was a French painter a
- Disease, poverty, hate, love-Charles Dickens’ stories opened his readers eyes to
- All the Lortons’ farm animals – the cows and the goats, the ducks and the chicke
- In seventh grade, Brittany Blythe dreamed of being a cheerleader. Her school’s c
- After their 15-year-old dog Bailey died in 2007, Ron and his wife, Ann, looked f
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- 完型填空。从题后所给的A.B.C.D四个选项中选出符合题意的最佳选项。Long ago there was a poor farmer in Russia. H
- In 1933 an unknown American called Clarence Nash went to see the filmmaker Walt
- When Frank began his story, we all listened. “I grew up in San Pedro. My Dad was
- Dr Asim Syed, 32, has performed more than 100 operations at London’s Hammersmith
- Kong Zi , also called Confucius (551-479 B.C) , and Socrates (469-399 B. C
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- Beatrix Potter was a great English writer and artist, best known for her childre
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- 完形填空阅读下面短文,掌握其大意,然后从1—15各题所给的A、B、C和D项中,选出最佳选项,并在答题卡上将该项涂黑。As
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- 完形填空阅读下面短文,从短文后各题所给的四个选项中,选出最佳选项,并在答题卡上将该项涂黑。Somet
- In the fall of 1985.I was a bright-eyed girl heading off to Howard University, a
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- Jesse Owens is recognized as a hero not just because he is fast. Some people mig
- It was a hot summer day. My dad and I were getting ready to go out for a ride on
- 完形填空阅读下面短文,从短文后各题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。John want
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- Many people know the names Alexander Graham Bell and Thomas Edison. However, mos
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- 完型填空阅读下面短文,掌握其大意,然后从36—55各题所给的四个选项中,选出最佳选项。One wint