名校
1 . 在四棱锥
中,侧面
底面
,底面
为矩形,
为等边三角形,
,
,点
在
上,
.
![](https://img.xkw.com/dksih/QBM/2021/7/10/2761425456603136/2776587039563776/STEM/b0cf4b1e606b461f996f187d200df7b3.png?resizew=408)
(1)求证:
;
(2)求二面角
的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448cbac9a1ef3de7538a6b30cdc39582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e49817548cb45b3d1e58570644c6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f656e1d1f68954e5f06de8958f6a9310.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f849faf3d202bcb0b1c7cb7808b6ee.png)
![](https://img.xkw.com/dksih/QBM/2021/7/10/2761425456603136/2776587039563776/STEM/b0cf4b1e606b461f996f187d200df7b3.png?resizew=408)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/166c6adb61987ed5d1be289fb28d0352.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe7e53cb67b0b9711a271dac2f8e0f7b.png)
您最近一年使用:0次
2021-08-01更新
|
701次组卷
|
3卷引用:河南省济源市2021-2022学年高一下学期期末教学质量调研数学试题
名校
解题方法
2 . 如图,已知四棱锥
中,
,
,
,
,
分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/2021/1/11/2634045199212544/2635188613898240/STEM/dfe2e990-00c6-4542-ac4f-5c7d6db6a5ef.png?resizew=257)
(1)证明:点
在平面
内;
(2)若平面
平面
,
为等边三角形,且
,求平面
和平面
所成锐二面角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd8e727e4efc22b49649f71ae9c9d84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f1161e0345b3646c71365430dccbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/2021/1/11/2634045199212544/2635188613898240/STEM/dfe2e990-00c6-4542-ac4f-5c7d6db6a5ef.png?resizew=257)
(1)证明:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2ddd49625097d0a78df7170be4f882e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c0bfeadcf17b2a45896071f07a4a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
您最近一年使用:0次
2021-01-13更新
|
306次组卷
|
3卷引用:河南省济源第一中学2022-2023学年高一下学期6月月考数学试题