解题方法
1 . 如图,三棱柱
中,已知侧面
为菱形,
为
中点,且
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/06c19d68-eed5-48c6-bb11-382523279d24.png?resizew=240)
(1)证明:
;
(2)若
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675c6e2941eecb64b358527da4d4999c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce03b310edce42191f9fa75a1c909ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/06c19d68-eed5-48c6-bb11-382523279d24.png?resizew=240)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db87b41df9d3c83d2810a4265d768d3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af747dd65d6338f909a6d7b08968a91f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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2022-12-03更新
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2卷引用:江苏省常州市横林高级中学2021—2022学年高二下学期5月阶段调研数学试题