题目内容
平面上有四个互异的点A,B,C,D,满足(
-
)·(
-
)=0,则△ABC是( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204506412.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204521410.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204552408.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204568421.png)
A.直角三角形 | B.等腰三角形 |
C.等腰直角三角形 | D.等边三角形 |
B
由(
-
)·(
-
)=0,得(
-
)·(
+
)=0,即(
-
)·
=0,(
-
)·(
+
)=0,即
2-
2=0,|
|=|
|,故△ABC为等腰三角形.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204506412.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204521410.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204552408.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204568421.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204506412.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204521410.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204552408.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204740422.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204506412.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204521410.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204802421.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204506412.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204521410.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204506412.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204521410.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204506412.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204521410.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204506412.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824053204521410.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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题目内容
A.直角三角形 | B.等腰三角形 |
C.等腰直角三角形 | D.等边三角形 |