1 . 如图在四棱锥S-ABCD中,底面四边形ABCD为正方形,SD=CD=2a,SD
平面ABCD,E为SD的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/5c467542-8692-42b8-9589-a1b6bb29e6ab.png?resizew=203)
(1)试判断
与平面
的位置关系,并说明理由;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/5c467542-8692-42b8-9589-a1b6bb29e6ab.png?resizew=203)
(1)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b5e290c6b2c5508a3bf6117afbf7e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e2da608b66c9aee03e2503388ba4fd.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5617a404c5a3356753136e5a6b6d51e5.png)
您最近一年使用:0次
2 . 已知在四棱锥
中,底面
是矩形,
平面
,
,
分别是
,
的中点,
与平面
所成的角的正切值是
;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/3429eb66-6422-4c62-a2d4-8e4c7cf17ecd.png?resizew=218)
(1)求证:
平面
;
(2)求二面角
的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8716b5aad93d97ca1c3791b9c717cc0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/3429eb66-6422-4c62-a2d4-8e4c7cf17ecd.png?resizew=218)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d46554105150391e671609fc6348a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9068f29d671d76d1e95ba3a4eaff5b96.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15fdf93ad368287ede49777923d190dc.png)
您最近一年使用:0次
2019-09-18更新
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461次组卷
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2卷引用:贵州省安顺市平坝区平坝第一高级中学2018-2019学年高一下学期期末数学试题