名校
解题方法
1 . 在三棱锥
中,平面
平面
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692adb71529e69109a47a4638719c0df.png)
A.三棱锥![]() |
B.点![]() ![]() |
C.二面角![]() |
D.三棱锥![]() ![]() ![]() |
您最近一年使用:0次
2024-06-12更新
|
243次组卷
|
2卷引用:湖南省长沙市长郡中学2024届高三下学期二模考试数学试题
解题方法
2 . 在平面四边形
中,
,
,
为等边三角形,将
沿
折起,得到三棱锥
,设二面角
的大小为
.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65d5853c26657db448af610ac72cca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db4c18aba9681a8475968248764d4c3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e18b48c0263fbc4cbf072b7662589e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.当![]() ![]() ![]() ![]() ![]() ![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
解题方法
3 . 把边长为
的正方形
沿对角线
折起,当以
四点为顶点的三棱锥体积最大时( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
A.![]() |
B.直线![]() ![]() ![]() |
C.平面![]() ![]() ![]() |
D.四面体![]() ![]() |
您最近一年使用:0次
名校
4 . 如图,在平行六面体
中,
,
.
,求点P到直线BD的距离;
(2)求平面
与平面
所成夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cead0e8eadfdcefa334953e88864f424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d13ecb54b1006051d2561327aa4755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79229606d05f53c89b900e37c5cb6f6d.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bf9ef324f1289e205e29fed105c38e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
您最近一年使用:0次
名校
5 . 三棱锥
中,
平面ABC,
,
,
,
,则二面角
的大小为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd4262c8a29d5d4339fae552b99a609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d294d69caac577339f11f477b2047e.png)
您最近一年使用:0次
2024-04-07更新
|
1015次组卷
|
9卷引用:湖南省衡阳市衡阳县第四中学2024届高三下学期4月月考数学试题
湖南省衡阳市衡阳县第四中学2024届高三下学期4月月考数学试题山东省菏泽外国语学校2023-2024学年高一下学期第二次月考数学试题(已下线)专题20 空间直线、平面的垂直-《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)8.6.3 平面与平面垂直-同步题型分类归纳讲与练(人教A版2019必修第二册)(已下线)8.6.3平面与平面垂直【第二课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)专题3.8 立体中的夹角和距离问题-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)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)天津市耀华中学2023-2024学年高一下学期学科训练(二)数学试卷(已下线)专题07 立体几何初步(2)-期末考点大串讲(人教B版2019必修第四册)
23-24高三下·湖南长沙·阶段练习
名校
6 . 如图三棱锥
中,
,
,
.
;
(2)若平面
平面
,
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfd3cc8d727f5d4f41c834f6851a094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e91ac38719ac70e0597a72e7f0deceac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbd7c2767c106faf27d6a97ebc8e739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3570a95f68349fcd9417fcda62e78e7e.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585412bde1d2c7b297beaa78fd991130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b33b7213d99a817bff19bcf740a0697c.png)
您最近一年使用:0次
名校
解题方法
7 . 在四棱锥
中,
平面
,且二面角
的大小为
,
.若点
均在球
的表面上,则球
的体积的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d617c3226fd07ce16f6c529e2ab9ba55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1636b4530c0b42d0e0b649e90e3b9e85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/035b5c518286a2f7bf6492a49ac3f08f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fd6e7723730c9b701d9b48a23e290dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-06更新
|
894次组卷
|
5卷引用:湖南省长沙市浏阳市重点校联考2024届高三下学期期中测试数学试卷
湖南省长沙市浏阳市重点校联考2024届高三下学期期中测试数学试卷四川省成都市第七中学2024届高三下学期二诊模拟考试理科数学试卷(已下线)第3讲:立体几何中的探究问题【练】(已下线)专题2 球组合体 补体性质 练(已下线)高一下学期期中复习选择题压轴题十七大题型专练(2)-举一反三系列(人教A版2019必修第二册)
名校
8 . 如图,在三棱锥
中,平面
平面
为棱
上靠近点
的三等分点,且
为
的角平分线,则二面角
的平面角的正切值的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74684c76385a0240f1e9b7f22202ef12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf29d07c3751c41ab3503065a5a5052e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/16513c35-d137-41b3-ad20-4b4258f1d346.png?resizew=154)
您最近一年使用:0次
2024-03-04更新
|
480次组卷
|
3卷引用:湖南省三湘创新发展联合体2023-2024学年高三下学期2月开学统试数学试题
名校
9 . 如图,四棱锥
中,底面
为矩形,
底面
,点
在侧棱
上,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/c3dc0680-9693-446d-8d93-6562dda4fa65.png?resizew=154)
(1)证明:
是侧棱
的中点;
(2)求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb2e071d4e01107dcf7d95cbb86b415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/106a1269445c24d80b2e027071a6ecd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80be421a052e5eb07a61115d89cdf9ba.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/c3dc0680-9693-446d-8d93-6562dda4fa65.png?resizew=154)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1497bbe0ac8de93f8c8623d5e700057.png)
您最近一年使用:0次
10 . 如图,在三棱柱
中,D为
的中点,
,平面
平面
.
平面
;
(2)设
,四棱锥
的体积为
,求平面
与平面ABC所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac96a75b3a3a7b0a36bb1f0d04563e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ba609142a263c93c2b81fafc6d2034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e53b212640dadf751ef7f65a78a209.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a721c8a8da776f6dbe349e3f98e7a878.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0b89497679f4adce65b610e49d6159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca6a9d7a5eaa4e5d39aa1544f95342.png)
您最近一年使用:0次
2024-02-04更新
|
468次组卷
|
5卷引用:湖南省株洲市第一中学2022届高三上学期期中数学试题
湖南省株洲市第一中学2022届高三上学期期中数学试题江西省赣州市2024届高三上学期期末数学试题(已下线)第七章 应用空间向量解立体几何问题拓展 专题一 立体几何非常规建系问题 微点1 立体几何非常规建系问题(一)【培优版】江西省宜春市丰城市第九中学2023-2024学年高二下学期开学考试数学试题广东省广州市三中2023-2024学年高二下学期期中数学试题