名校
解题方法
1 . 如图,正三棱柱
底面边长为4,D在AC边上,
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/2628c3d2-f3c1-41dc-bf75-e89ddea1a7f2.png?resizew=150)
(1)求证:平面
平面
;
(2)若
到平面
的距离为1,求平面
与平面
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5ea494bb75a5c04e61c9e32aceabc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/2628c3d2-f3c1-41dc-bf75-e89ddea1a7f2.png?resizew=150)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1149520e5a33113889bcf45bc632144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4c87f4da030d05da7c0fa59384743e.png)
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2023-02-26更新
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556次组卷
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2卷引用:福建省福州第三中学2022-2023学年高二上学期期末检测数学试题