1 . 如图,在以
为顶点,母线长为
的圆锥中,底面圆
的直径
长为
,
是圆
所在平面内一点,且
是圆
的切线,连接
交圆
于点
,连接
.
(1)求证:平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
平面
;
(2)若
是
的中点,连接
,
,当二面角
的大小为
时,求平面
与平面
所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb46aaae98bce8e66848e09c2c1cdbd4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/24/83c4df18-c332-4688-90cf-72b715cf8cd2.png?resizew=185)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c596937817981203f29a4bdfa159a773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3711e331195e55e1c0133b0286d61a55.png)
您最近一年使用:0次
2023-05-19更新
|
511次组卷
|
7卷引用:2020届河北省承德市围场卉原中学高三模拟自测联考数学(理)试题
名校
2 . 如图所示,已知三棱锥
,D为
的中点,且
是正三角形,
.
![](https://img.xkw.com/dksih/QBM/2021/4/28/2709763705954304/2808664621621248/STEM/b330176d-c1fd-43e9-8ed9-5453558a3d4c.png?resizew=276)
(1)求证:
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2ea5a2c4ec45f70ec28a1453a10411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0bb4ef08f6070a6bbc54ea9c4f130d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036de574712cad14bddadf6653c7e714.png)
![](https://img.xkw.com/dksih/QBM/2021/4/28/2709763705954304/2808664621621248/STEM/b330176d-c1fd-43e9-8ed9-5453558a3d4c.png?resizew=276)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ea6e7aec788b4a60aeabdb948a95c6.png)
您最近一年使用:0次
名校
3 . 如图所示,在四棱锥
中,平面
平面
.
![](https://img.xkw.com/dksih/QBM/2018/6/15/1967892605272064/1970128152428544/STEM/90cde48191a44896aa8418f039467f9a.png?resizew=157)
(1)求证:
;
(2)若二面角
为
,求直线
与平面
所成的角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5950b2be8b3a4cef62580f73f7e2f778.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/579f0a236772dc2b0b46b7fdb4294904.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51fd98703d043ae75a2e38e069cc08c.png)
![](https://img.xkw.com/dksih/QBM/2018/6/15/1967892605272064/1970128152428544/STEM/90cde48191a44896aa8418f039467f9a.png?resizew=157)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db7f751dd6a65eee7ab893431a0cce01.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f97d427515d75130ceb19705cadd2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b342d5cb6dd1c84a82f6aca68ed829c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b2240646f656908993151c433fb2a8.png)
您最近一年使用:0次
2018-06-18更新
|
526次组卷
|
9卷引用:河北省衡水中学2017届高三高考押题卷三卷理数试题
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