河北省高三理科数学一轮复习考试试题精选1分类汇编9：平面向量 Word版含答案

1、河北省2014届高三理科数学一轮复习考试试题精选（1）分类汇编9：平面向量一、选择题 （河北省邯郸市馆陶县第一中学2014届高三上学期期中考试数学试题）已知,若,则（）abcd【答案】b （河北省衡水中学2014届高三上学期二调考试数学（理）试题）在中,是边上的高,则的值等于（）a0bc4d【答案】b （河北省邯郸市馆陶县第一中学2014届高三上学期期中考试数学试题）“”是“向量与向量共线”的（）a充分而不必要条件b必要而不充分条件 c充分必要条件d既不充分也不必要条件【答案】a （河北省衡水中学2014届高三上学期三调考试数学（理）试题）平面直角坐标系xoy中,已知a(1,0),b(0,1)

2、,点c在第二象限内,且|oc|=2,若,则,的值是（）a,1b1,c-1,d,1 【答案】d （河北省邯郸市武安三中2014届高三第一次摸底考试数学理试题）已知向量满足,且,则在方向上的投影为（）a3b.cd【答案】b （河北省石家庄市无极中学2014届高三上学期第二次月考数学（理）试题）半圆的直径=4, 为圆心,是半圆上不同于、的任意一点,若为半径的中点,则的值是（）a-2b-1c2d无法确定,与点位置有关【答案】a （河北省容城中学2014届高三上学期第一次月考数学（理）试题）已知点c在aob外且设实数m,n满足则等于（）a-2b2cd- 【答案】b （河北省容城中学2014届高三上学期第

3、一次月考数学（理）试题）(2013哈尔滨模拟)在abc中,bac=60,ab=2,ac=1,e,f为边bc的三等分点(e为靠近点c的三等分点),则等于 【答案】a （河北省衡水中学2014届高三上学期二调考试数学（理）试题）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（）a1:2b1:3c1:4d1:5【答案】b （河北省唐山市2014届高三摸底考试数学（理）试题）已知点a(6,2),b (l,14),则与共线的单位向量为（）ab cd【答案】c （河北省唐山一中2014届高三第二次调研考试数学（理）试题）设向量,是非零向量,若函数的图象不是直线,且在处取得最

4、值,则必有（）ab c,不垂直且d,不垂直且【答案】c （河北省邯郸市2014届高三上学期摸底考试数学（理）试题）若非零向量使得成立的一个充分非必要条件是（）abcd【答案】a （河北省馆陶中学2013-2014学年第一学期高三数学(理)9月检测卷）设、都是非零向量,下列四个条件中,使成立的充分条件是( ) （）abcd【答案】c （河北省保定市八校联合体2014届高三上学期第一次月考数学（理科）试题）已知向量a= (l,2),b= ( -1,0),若()丄a则实数等于（）a-5bcd5【答案】d 二、填空题（河北省衡水中学2014届高三上学期二调考试数学（理）试题）在直角三角形中,点是斜边上

5、的一个三等分点,则_ 【答案】 （河北省邯郸市馆陶县第一中学2014届高三上学期期中考试数学试题）已知向量夹角为 ,且;则【答案】 （河北省衡水中学2014届高三上学期三调考试数学（理）试题）向量a,b,c在正方形网格中的位置如图所示,若,则=_【答案】 （河北省邯郸市武安三中2014届高三第一次摸底考试数学理试题）已知向量,则_.【答案】5 . （河北省馆陶中学2013-2014学年第一学期高三数学(理)9月检测卷）已知,则与向量方向相反的单位向量坐标为_.【答案】 （河北省唐山一中2014届高三第二次调研考试数学（理）试题）已知,且,则与的夹角为_.【答案】 （河北省容城中学2014届高三

6、上学期第一次月考数学（理）试题）设向量a=(cos ,sin ),b=(cos ,sin ),其中0,若|2a+b|=|a-2b|,则-=_.【答案】 三、解答题（河北省容城中学2014届高三上学期第一次月考数学（理）试题）已知向量a=(,-1),b=(sin2x,cos2x),函数f(x)=ab.(1)若f(x)=0且0x,求x的值.(2)求函数f(x)的单调增区间以及函数取得最大值时,向量a与b的夹角.【答案】f(x)=ab =sin2x-cos2x, (1)由f(x)= 0得sin2x-cos2x=0,即tan2x=. 0x,02x2, 2x=或2x=, x=或x=. (2)f(x)=s

7、in2x-cos2x =2(sin2x-cos2x) =2(sin2xcos-cos2xsin)=2sin(2x-), （河北省唐山一中2014届高三第二次调研考试数学（理）试题）已知abc的面积s满足,且,与的夹角为.(1)求的取值范围;(2)求函数的最大值及最小值.【答案】 （河北省邯郸市馆陶县第一中学2014届高三上学期期中考试数学试题）在中,角的对边分别为向量,且.(1)求的值;(2)若,求角的大小及向量在方向上的投影.【答案】(1);(2),向量在方向上的投影. tgz7r4i30ka1dkaghn3xtkknbycudxqa7fhyi2chhi92tgkqcwa3ptgshls50

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