名校
1 . 如图,在三棱柱
中,平面
平面
,
,四边形
是边长为
的菱形,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/b041a252-99f7-430e-861c-0cdb28ddf14f.png?resizew=171)
(1)证明:
;
(2)若点
到面
的距离为
,求平面
和平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9edc50f7febbc2d5d8dcdc23a3630a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6b781f45a00990af551427e5d81af2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/b041a252-99f7-430e-861c-0cdb28ddf14f.png?resizew=171)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba985fb50a9078a839b66bf1d1eadea9.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc4fd5b13f66aaa25632811704596c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38be38165dc2307982fc57001a447c56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/410228a99ba57bb645b0bb857131535d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0c48ff2bc69a465c882a74bc806b8f.png)
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2022-05-31更新
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5卷引用:海南省海口市上海世外附属海口学校2022-2023学年高二上学期期中数学试题