1 . 如图,在三棱锥
中,
,
,点M,N分别是
,
的中点
![](https://img.xkw.com/dksih/QBM/2023/11/9/3364256452608000/3365058891350016/STEM/afdec2e1e11947f0800dd2abd17d9b4d.png?resizew=202)
(1)求
的值;
(2)求异面直线
,
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88a4b27eb78bec148028a07fe5bf0b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/341e8dae00f6b2abc94199ccfd6cf180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/2023/11/9/3364256452608000/3365058891350016/STEM/afdec2e1e11947f0800dd2abd17d9b4d.png?resizew=202)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26ae3468da652dbfb0a3fa1e6bbaab75.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
您最近一年使用:0次
名校
2 . 如图,四棱锥
的底面是边长为1的正方形,
垂直于底面
,
.
![](https://img.xkw.com/dksih/QBM/2020/4/17/2443472766517248/2443670787719168/STEM/d845839c114544f29f68ede7f346338b.png?resizew=271)
(1)求平面
与平面
所成二面角的大小;
(2)设棱
的中点为
,求异面直线
与
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bc2e11ba41dd6be2c30615229068a7e.png)
![](https://img.xkw.com/dksih/QBM/2020/4/17/2443472766517248/2443670787719168/STEM/d845839c114544f29f68ede7f346338b.png?resizew=271)
(1)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21665d21bbfb04410c78345de1fd15ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)设棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a6e2867f32d3f1c3cd36cd3a11a8580.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
您最近一年使用:0次
2020-04-17更新
|
1333次组卷
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7卷引用:福建省福清第三中学2022-2023学年高一下学期5月月考数学试题