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若向量,,满足∥且⊥,则•(+2)=( ) A.4 B.3 C.2 D.0
若向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822007_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822007_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822007_ST/2.png)
满足
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822007_ST/3.png)
∥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822007_ST/4.png)
且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822007_ST/5.png)
⊥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822007_ST/6.png)
,则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822007_ST/7.png)
•(
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+2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822007_ST/9.png)
)=( )
A.4
B.3
C.2
D.0
考点分析:
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设
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/1.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/2.png)
为同一平面内具有相同起点的任意三个非零向量,且满足
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与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/4.png)
不共线,
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⊥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/6.png)
,|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/7.png)
|=|
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|,则|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/9.png)
•
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/10.png)
|的值一定等于 ( )
A.以
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/11.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/12.png)
为邻边的平行四边形的面积
B.以
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/13.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/14.png)
为两边的三角形面积
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/15.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/16.png)
为两边的三角形面积
D.以
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/17.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822006_ST/18.png)
为邻边的平行四边形的面积
查看答案
△ABC满足
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=2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822005_ST/1.png)
,∠BAC=30°,设M是△ABC内的一点(不在边界上),定义f(M)=(x,y,z),其中x,y,z分别表示△MBC,△MCA,△MAB的面积,若f(M)=(x,y,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822005_ST/2.png)
),则xy的最大值为( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822005_ST/3.png)
B.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822005_ST/4.png)
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822005_ST/5.png)
D.
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已知
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822004_ST/0.png)
、
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822004_ST/1.png)
为非零向量,且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822004_ST/2.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822004_ST/3.png)
+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822004_ST/4.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822004_ST/5.png)
=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822004_ST/6.png)
-
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,则|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822004_ST/8.png)
|-|
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822004_ST/9.png)
|是
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⊥
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822004_ST/11.png)
的( )
A.充分不必要条件
B.必要不充分条件
C.充要条件
D.既不充分也不必要条件
查看答案
已知点A∈{(x,y)|-1≤x≤1,-1≤y≤1},点B(2,1),则
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822003_ST/0.png)
最小值为( )
A.-4
B.-3
C.-2
D.-1
查看答案
平面向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822002_ST/0.png)
与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822002_ST/1.png)
的夹角为60°且
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822002_ST/2.png)
=2,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822002_ST/3.png)
=1,则向量
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822002_ST/4.png)
+2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822002_ST/5.png)
的模为( )
A.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822002_ST/6.png)
B.12
C.
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131025123721212982256/SYS201310251237212129822002_ST/7.png)
D.10
查看答案