1 . 如图,在三棱柱
中,
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcca4982eda404a0cd8193e35a5be6b2.png)
,
分别是
的中点
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/007f2429-49cb-472e-a801-17e7c8adcbb9.png?resizew=147)
(1)求证:
平面
;
(2)求直线
与平面
所成角的正弦值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ccc0d735dc14c92a8926d9b1def6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcca4982eda404a0cd8193e35a5be6b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450176ba93397527fc3520c55dd1476a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/16/007f2429-49cb-472e-a801-17e7c8adcbb9.png?resizew=147)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92bced6bf70db7229db85f2b10339431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923189afc198d153c79059a827f63c87.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923189afc198d153c79059a827f63c87.png)
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2020-12-05更新
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1235次组卷
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3卷引用:福建省建瓯市第三中学2023-2024学年高二上学期第一次月考数学试题