名校
解题方法
1 . 如图,在三棱柱ABC-A1B1C1中,
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/be12cd0d-b264-49de-a009-b1bb520b7b3e.png?resizew=154)
(1)若此三棱柱为正三棱柱,且
,求异面直线
与
所成角的大小;
(2)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/be12cd0d-b264-49de-a009-b1bb520b7b3e.png?resizew=154)
(1)若此三棱柱为正三棱柱,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4991ea372d13c03461e8b2a8808ef91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e04f01e371223cdae8da2466686b560.png)
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2021-02-02更新
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1452次组卷
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2卷引用:湖北省随州市第一中学2020-2021学年高一下学期期中数学试题