题目内容
非零向量
不共线,若
+
=
,
-
=
,则
⊥
是|
|=|
|的 ( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928263268.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928278203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928403203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928465191.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928278203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928403203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928590205.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928465191.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928590205.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928278203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928403203.gif)
A.充要条件 | B.充分不必要条件 |
C.必要不充分条件 | D.既不充分又不必要条件 |
A
法一:
⊥![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928590205.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928793150.gif)
•
=(
+
)•(
-
)= |
|2- |
|2 = 0
|
| = |
|
法二:作
,
,以
,
为邻边作平行四边形OACB,则
=
,
=
.
⊥![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928590205.gif)
为菱形
|
| = |
|.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928465191.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928590205.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928793150.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928465191.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928590205.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928278203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928403203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928278203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928403203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928278203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928403203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928793150.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928278203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928403203.gif)
法二:作
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115929043299.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115929058303.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115929074248.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115929105253.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928465191.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115929136257.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928590205.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115929183242.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928465191.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928590205.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115929277335.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928793150.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928278203.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823115928403203.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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