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解题方法
1 . 《九章算术》是我国古代数学专著,书中将底面为矩形且一条侧棱垂直于底面的四棱锥称为“阳马”.如图,在阳马
中,
平面
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/969fb55e-8d7e-4294-9ade-594df6e412b4.png?resizew=165)
(1)求证:
平面
;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/28/969fb55e-8d7e-4294-9ade-594df6e412b4.png?resizew=165)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a976a64deadb0b4e0f9bdb26a6dc594.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca48c18021e7be4bbb3e95576e1c1b5f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3ffec2558e590c0712e77d7ab27ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e40f5583fbfcac922c8ec238c0438452.png)
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2023-02-26更新
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4卷引用:广西2021-2022学年高二上学期12月高中学业水平考试数学试题