名校
解题方法
1 . 如图,在四棱锥
中,
底面ABCD,
,
,
,
,点E为棱PC的中点.
平面PAD;
(2)求直线BE与平面PBD所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8ef58be8708144272538ee427fb92c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ba814113887c21637c1954f244812f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c372d059202ec388960b125d4a87dc84.png)
(2)求直线BE与平面PBD所成角的正弦值.
您最近一年使用:0次
2023-07-25更新
|
648次组卷
|
3卷引用:黑龙江省大兴安岭实验中学(东校区)2024届高三上学期11月月考数学试题
名校
2 . 已知直三棱柱
中,侧面
为正方形,
,E,F分别为
和
的中点,D为棱
上的点.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09149e981da769bff0958810a1eda48e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/22/bb922c8c-adb4-4c07-894b-b27ed7c838dc.png?resizew=129)
(1)证明:
;
(2)当D为
中点时,求面
与面
所成的二面角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cf3bff56a7f4ab6c0008e90823025d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9780cae90668d9d55b14ec0fc4894d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7e69fbcd7cc2adb8478cb4b9f60b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb16f7dbc4b9993c4efa0764df1d8ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760ad64e1f3e9fe178e69897076db07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09149e981da769bff0958810a1eda48e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/22/bb922c8c-adb4-4c07-894b-b27ed7c838dc.png?resizew=129)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143bf58daf59cbf7a2ab47b3a91dee23.png)
(2)当D为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760ad64e1f3e9fe178e69897076db07e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c670996eae80113297392487366aef.png)
您最近一年使用:0次
2022-10-19更新
|
451次组卷
|
3卷引用:黑龙江省大兴安岭实验中学2022-2023学年高二下学期7月期末数学试题