题目内容
如图,将45°直角三角板和30°直角三角板拼在一起,其中45°直角三角板的斜边与30°直角三角板的30°角所对的直角边重合.若
,则x ,y等于( )
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232124134257965.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212413441190.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212413394819.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232124134257965.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212413441190.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
B
解:由题意得,若设 AD=DC=1,则 AC=" 2" ,AB=2 2 ,BC=" 6" ,由题意知,
△BCD中,由余弦定理得 DB2=DC2+CB2-2DC•CB•cos(45°+90°)=![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212413971514.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232124143614795.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212413597848.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823212413971514.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408232124143614795.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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A.![]() | B.![]() |
C.![]() | D.![]() |