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已知向量=(1,2),=(-2,3),=(4,1),若用和表示,则= .
已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905012_ST/0.png)
=(1,2),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905012_ST/1.png)
=(-2,3),
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905012_ST/2.png)
=(4,1),若用
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905012_ST/3.png)
和
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905012_ST/4.png)
表示
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905012_ST/5.png)
,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905012_ST/6.png)
=
.
考点分析:
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设O(0,0),A(1,0),B(0,1),点p是线段AB上的一个动点,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905010_ST/0.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905010_ST/3.png)
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平面直角坐标系中,O为坐标原点,设向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905009_ST/0.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905009_ST/1.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905009_ST/2.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905009_ST/images3.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905009_ST/images4.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905009_ST/images5.png)
D.
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已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/0.png)
、
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/1.png)
是非零向量且满足(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/2.png)
-2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/3.png)
)⊥
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,(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/5.png)
-2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/6.png)
)⊥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/7.png)
,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/8.png)
与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/9.png)
的夹角是( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/10.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/11.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905008_ST/12.png)
D.
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已知向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905007_ST/0.png)
=(-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905007_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905007_ST/2.png)
),点O(0,0)和A(1,-2)在
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905007_ST/3.png)
所在直线上的射影分别为O
1和A
1,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905007_ST/4.png)
=λ
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905007_ST/5.png)
,则λ=( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131101224546886290576/SYS201311012245468862905007_ST/6.png)
B.-
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C.2
D.-2
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