如图,已知
平面
与底面
所成角为
,且
.
平面
;
(2)求二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31a124f5f318ac67b6d6b3c47ebc2ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da2de4496cec1d28745ce7a042883d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0787d2cb66d00c49d3348b52acd407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715cc9ea5e7d80930284ffb117142770.png)
2023·湖南岳阳·模拟预测 查看更多[8]
湖南省岳阳市平江县第三中学等多校联考2023-2024学年高二普通高中学业水平合格性考试仿真模拟(专家卷二)数学试题(已下线)专题7.3 空间角与空间中的距离问题【九大题型】(已下线)第07讲 空间直线﹑平面的垂直(二)-《知识解读·题型专练》(已下线)13.2.4 平面与平面的位置关系(2)-【帮课堂】(苏教版2019必修第二册)(已下线)专题07 空间直线﹑平面的垂直(二)-《知识解读·题型专练》(人教A版2019必修第二册)(已下线)专题3.6空间直线、平面的垂直-重难点突破及混淆易错规避(人教A版2019必修第二册)(已下线)重难点专题14 利用传统方法解决二面角问题-【帮课堂】(苏教版2019必修第二册)(已下线)第13章 立体几何初步 章末题型归纳总结 (2)-【帮课堂】(苏教版2019必修第二册)
更新时间:2024-02-29 08:36:42
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相似题推荐
解答题-证明题
|
适中
(0.65)
名校
【推荐1】如图,在直棱柱
中,底面
为菱形,
,
,
与
相交于点
,
与
相交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/04ac8e79-a783-4f54-80e4-b07bacad089d.png?resizew=194)
(1)求证:
平面
;
(2)求直线
与平面
所成的角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a05e0ab55e325fb3b85fc8ca9c27c76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fd676c41d2d644928f014b0fea4689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/2/04ac8e79-a783-4f54-80e4-b07bacad089d.png?resizew=194)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e56fdf217165748fafe938b64fa08179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4cd2b33bd983a9ed6575b9de04a46a.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df46c1b56807d598bbb932a01b0f7223.png)
您最近一年使用:0次
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适中
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名校
【推荐2】如图,在四棱锥
中,四边形
为直角梯形,
,
,
底面
,且
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/84aa7c67-e3d1-400b-b2e2-cd6e654076b3.png?resizew=156)
(1)求证:
平面
;
(2)求证:
平面
.
![](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/0facf189b2a3153beb7b9e077d3b1146.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0d7095ddd69d6ceaf1065b1bc2c79d.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/c3b10835116b9b777a666b438c907b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829018a6ca0aff95d89e3f7cd943274e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/10/84aa7c67-e3d1-400b-b2e2-cd6e654076b3.png?resizew=156)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e589e2dff283a5fed007500bc834272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐3】如图,在三棱柱
中,
为棱
的中点,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce127cc11f660e157437828f56148662.png)
![](https://img.xkw.com/dksih/QBM/2021/5/5/2714776635187200/2718046998913024/STEM/5c45ff2bd4fc4c2b892fa6ea49e6462a.png?resizew=244)
(1)求证:
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d7ab086517993ad74f3b29ebe1d63e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce127cc11f660e157437828f56148662.png)
![](https://img.xkw.com/dksih/QBM/2021/5/5/2714776635187200/2718046998913024/STEM/5c45ff2bd4fc4c2b892fa6ea49e6462a.png?resizew=244)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e16f65c3a318220c2f5baac171bbb61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5d02ab4d51f92d437057fd7ff9c1c1.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
解题方法
【推荐1】如图,在直三棱柱
中,
,
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/2013/10/8/1571366668525568/1571366674366464/STEM/933eaf59f0534891bb05e8c87daba16b.png)
(Ⅰ)求证:
平面
;
(Ⅱ)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f47d6a88e962cd790d2f159c021ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bc670f1937399b7b64316d2ae283e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/2013/10/8/1571366668525568/1571366674366464/STEM/933eaf59f0534891bb05e8c87daba16b.png)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2013/10/8/1571366668525568/1571366674366464/STEM/351647fdd2ea45289da1d4cb4ece8f19.png)
![](https://img.xkw.com/dksih/QBM/2013/10/8/1571366668525568/1571366674366464/STEM/747d20085d3e480facdd5aab6b28179e.png)
(Ⅱ)求二面角
![](https://img.xkw.com/dksih/QBM/2013/10/8/1571366668525568/1571366674366464/STEM/f9c6d301a5c64e12ba03afdbacf3b9c3.png)
您最近一年使用:0次
解答题-证明题
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适中
(0.65)
【推荐2】如图,AB是
的直径,PA垂直于
所在的平面,C是圆周上不同于A,B的一点,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c88c1a4d34849163c48a145bdcb1fc.png)
平面
;
(2)求二面角
大小的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c88c1a4d34849163c48a145bdcb1fc.png)
![](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/b33b7213d99a817bff19bcf740a0697c.png)
您最近一年使用:0次
解答题-证明题
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适中
(0.65)
【推荐3】在三棱锥
中,
是边长为
的正三角形,平面
平面
,
,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/5/84954115-debf-43ff-ad7b-fcad8338293f.png?resizew=164)
(1)求证:
;
(2)求二面角
的平面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78307cd417504554a4e2276fe24d1162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4832c0f00d7ee74ab7dd5910b6a676f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/5/84954115-debf-43ff-ad7b-fcad8338293f.png?resizew=164)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90fa715d27ae43ec1e157226bc9dea54.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0262d3168bd3296cc63c4d78965cbb2c.png)
您最近一年使用:0次
解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐1】如图,在三棱台
中,△ABC为等边三角形,
⊥平面ABC,将梯形
绕
旋转至
位置,二面角
的大小为30°.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/8d978b86-d1b7-4b82-8fef-48f3cb4b5bba.png?resizew=162)
(1)若
,证明:
;
(2)若
,设G为
的中点,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/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbac36ae3a8f89b82b396aff23234aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eadda575683996d79f41fc6538476e35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ad1f39e5b9f52c243c1fa430bce846.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/8d978b86-d1b7-4b82-8fef-48f3cb4b5bba.png?resizew=162)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7edb06e7e1bd2f1ef4765cd3c5d2bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6878d71ceeefc1d2aa309ed92ccec151.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf8d339e24a0a0fff2e71f79ca956c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c6746339025f16fa382bdae80d609b.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
解题方法
【推荐2】如图,在三棱锥
中,
是
的中点,
在平面
的射影恰是
的重心
,且
.
![](https://img.xkw.com/dksih/QBM/2021/5/6/2715307526684672/2718970974511104/STEM/a941943c-17b6-4c35-b971-01ba1d26045e.png?resizew=198)
(1)证明:
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09a9bc1bc5ae97a3ab2845c3494df6b8.png)
![](https://img.xkw.com/dksih/QBM/2021/5/6/2715307526684672/2718970974511104/STEM/a941943c-17b6-4c35-b971-01ba1d26045e.png?resizew=198)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed46a014ece6a0830c7c8b8deb2c56e0.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
您最近一年使用:0次