真题
1 . 如图,平面四边形ABCD中,
,
,
,
,
,点E,F满足
,
,将
沿EF翻折至
,使得
.
;
(2)求平面PCD与平面PBF所成的二面角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c24a968c73e960698a572ab01e3698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb9335f4d4bb04e45cd7bc8da52f694f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24eac9b73cc6c95e0aa7dcf354bb3c54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed47dc5be420ecae1e068cd889b38256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b198dacba184a1b6adf6f0cf2b3d76fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11917085059a83ae9771e6712a2a1cc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b51d3992644d37dc71c9b5a97d515c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218870b4b09ddcb96183d6f9c672fb70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7459863f058993e17b7dcf902053eccd.png)
(2)求平面PCD与平面PBF所成的二面角的正弦值.
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