名校
解题方法
1 . 在三棱锥
中,已知
平面OAB,
,
,
与平面
所成的角为
,
与平面
所成的角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2979f64c85f82d8975d73ee1c342de.png)
______ .(用角度表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f295b4cea748d54d119819c77b6199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13f4ab3d31f8e7732c05f13792458c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4630b9ca3d20635161fa8fbf812b9128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac09dc1ca2cdd7aef28c218763d3e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2979f64c85f82d8975d73ee1c342de.png)
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2024-05-02更新
|
360次组卷
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4卷引用:河北省沧州市部分学校2023-2024学年高一下学期5月联考数学试题
河北省沧州市部分学校2023-2024学年高一下学期5月联考数学试题河南省开封市五校(杞县高中等)2023-2024学年高一下学期4月期中联考数学试题(已下线)第六章立体几何初步章末二十种常考题型归类(1)-【帮课堂】(北师大版2019必修第二册)河南省周口市鹿邑县第二高级中学校2023-2024学年高一下学期月考测试(三)(6月)数学试题
名校
解题方法
2 . 已知在三棱锥
中,
,则直线
与平面
所成的角的正弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db12193579ff89e776e2d71567868e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb802b0cd77d772dceff0d9ff6c879ac.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
3 . 如图,在四棱锥
中,底面
是边长为2的菱形,
,侧面
为正三角形,且平面
平面
,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/2022/5/27/2988292849590272/2989128808906752/STEM/55dc86d5-d77f-4733-9fc3-a53d8049063d.png?resizew=340)
![](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/c6e0b64d25ddd18454f88e40c45d7d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2022/5/27/2988292849590272/2989128808906752/STEM/55dc86d5-d77f-4733-9fc3-a53d8049063d.png?resizew=340)
A.异面直线![]() ![]() ![]() |
B.三棱锥![]() |
C.二面角![]() ![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次
名校
4 . 已知四棱锥
的底面为正方形,
面
,
为
上的一点,
![](https://img.xkw.com/dksih/QBM/2020/10/15/2571759360270336/2572845573390336/STEM/7e215aba-c8a0-4be1-8256-72ad53598f17.png?resizew=200)
(1)求证:面
面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4df19e7a8f396bdd2542f16e944c3ee0.png)
(2)若
,求
与平面
所成角的正弦值.
![](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/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://img.xkw.com/dksih/QBM/2020/10/15/2571759360270336/2572845573390336/STEM/7e215aba-c8a0-4be1-8256-72ad53598f17.png?resizew=200)
(1)求证:面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54cf75bbfc9db93d27937c8b8e977b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4df19e7a8f396bdd2542f16e944c3ee0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1079f921441c94e63af33b898b2858d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df97af49df45d10d22fdd7f9133d9c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5000fea066102e62cf2128ccbbd2b3e3.png)
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2020-10-17更新
|
764次组卷
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4卷引用:河北省黄骅中学2020-2021学年高二上学期10月联考数学试题
5 . 在直三棱柱
中,四边形
是边长为4的正方形.
,
,
是
的中点.
(1)在
上求作一点
,使得
平面
,并证明;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
(1)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b7903de4be7d5dc1175cfbf6e8da9f.png)
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2020-03-26更新
|
124次组卷
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2卷引用:河北省沧州市第一中学2021-2022学年高二上学期第三次学段检测数学试题
名校
6 . 如图,在三棱锥
中,
,
平面
,
,
为
的中点,则直线
与平面
所成角的余弦值为
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/46f12547-0fe5-43b8-a908-ba73f6adb198.png?resizew=150)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca5bc93e35e739f6bccb8ca2003abb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc93e193fad261689949a52819753f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/46f12547-0fe5-43b8-a908-ba73f6adb198.png?resizew=150)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-02-05更新
|
1514次组卷
|
7卷引用:【市级联考】河北省沧州市2018-2019学年高二上学期期末考试数学(理)试题
7 . 如图,
平面
,
,
,
,
分别为
的中点.(I)证明:
平面
;(II)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/299aec7bf0fff4e5b8b0c59bf18ea726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aee33e4af8ef3bf5025d7e630abcfc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e975e7562572d24e6462e774f5fd491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b929f1f7b0c8cb489d29d0a6da6bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c9c457e757ac146cbb07008c58944fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72221ee5b504d596ff799c0b356aa0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://img.xkw.com/dksih/QBM/2010/3/17/1569642148438016/1569642225819648/STEM/58889a40b9254d45a4e63686d46109c5.png)
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2019-01-30更新
|
2742次组卷
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16卷引用:河北省沧州市第三中学2019-2020学年高一下学期期末数学试题
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