名校
解题方法
1 . 如图,在四棱锥
中,
底面
,在直角梯形
中,
,
,
,
是
中点.求证:
平面
;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1e04eeb4de72e5750dae77bcb6f88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fa6ea683971fa8b6299d7aab6d04092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932a04304f2d4975955d4baabb2deeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4cd8ba7eb52e38857830162e770f534.png)
您最近一年使用:0次
名校
解题方法
2 . 如图,菱形
的对角线
与
交于点
,
是
的中位线,
与
交于点
,已知
是
绕
旋转过程中的一个图形﹐且
平面
.给出下列结论:
平面
;
②平面
平面
;
③“直线
直线
”始终不成立.
其中所有正确结论的序号为( )
![](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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b51d3992644d37dc71c9b5a97d515c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff39c7aa648afd1080206c8080ff79e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6c72495428bbbd12cad3271b0654ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debdc6632a4877e5131d3da25cda8b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
②平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
③“直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce49710609f7bffc36441dc5c2f7c2ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
其中所有正确结论的序号为( )
A.①②③ | B.①② | C.①③ | D.②③ |
您最近一年使用:0次
2024-03-27更新
|
858次组卷
|
9卷引用:四川省广安市2024届高三第二次诊断性考试数学(文)试题
四川省广安市2024届高三第二次诊断性考试数学(文)试题2024届四川省遂宁市等3地高三二模文科数学试题四川省雅安市2024届高三下学期二诊数学(文)试题河南省南阳市西峡县第一高级中学2023-2024学年高二下学期第一次月考数学试卷四川省乐山市2024届高三第二次调查研究考试文科数学试题(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【第三课】“上好三节课,做好三套题“高中数学素养晋级之路2024届宁夏回族自治区银川一中高考三模理科数学试题(已下线)6.5.2平面与平面垂直-【帮课堂】(北师大版2019必修第二册)
名校
解题方法
3 . 如图,四边形ABCD为长方形,
平面ABCD,
,点E,F分别为AD,PC的中点.
(1)证明:
∥平面PBE;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7909a880816dcd6886774124ac86b55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/29/74f7a2eb-9ab4-4671-ab03-170a43a23efa.png?resizew=170)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea56f8a50404ac066bc2099bc58ff58.png)
您最近一年使用:0次
2023-11-08更新
|
314次组卷
|
3卷引用:四川省广安市第二中学校2024届高三上学期第二次月考数学(文)试题
名校
解题方法
4 . 已知正方体
的棱长为1,
是空间中任意一点,则下列说法中错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.该正方体外接球的体积为![]() |
B.若![]() ![]() ![]() ![]() |
C.若点![]() ![]() ![]() |
D.若点![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-10-26更新
|
339次组卷
|
4卷引用:四川省广安市第二中学校2024届高三上学期第二次月考数学(文)试题
四川省广安市第二中学校2024届高三上学期第二次月考数学(文)试题四川省内江市第六中学2023-2024学年高三上学期第一次月考文科数学试题(已下线)考点17 立体几何中的定值问题 2024届高考数学考点总动员【练】(已下线)专题09 立体几何(5大易错点分析+解题模板+举一反三+易错题通关)-2
名校
5 . 如图,在三棱锥
中,
底面
,点D、E分别在棱
上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/18/93605b3b-7060-45ed-b942-ee43cedab949.png?resizew=129)
(1)求证
平面
;
(2)当D为
的中点时,求
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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/693bf1b92e9b35fc7e5a442a13008af0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace5e8c3769ad8f370c86f879246c174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436f108fd4921dae15ecff19270237e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/18/93605b3b-7060-45ed-b942-ee43cedab949.png?resizew=129)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(2)当D为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
您最近一年使用:0次
2023-05-11更新
|
1247次组卷
|
6卷引用:四川省广安代市中学校2021-2022学年高二上学期第二次月考数学(理)试题
解题方法
6 . 如图,在四棱锥
中,
底面
,且底面
为正方形,
,
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/da842587-c0f9-403a-9158-11b1172c14b6.png?resizew=155)
(1)求证:
;
(2)求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40d4d36ae30487030b827ce9413b9f13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b199a99e53d67ff4abf233930961a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66313f1b282e75f91c6fb14d4849c0b5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/22/da842587-c0f9-403a-9158-11b1172c14b6.png?resizew=155)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa1ac7e4a2bcadf49838113ab6d95950.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fd975b889bfe7ddcec0de56b6f23ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
您最近一年使用:0次
2023-02-19更新
|
913次组卷
|
5卷引用:四川省广安市2022-2023学年高二上学期期末数学(文)试题
四川省广安市2022-2023学年高二上学期期末数学(文)试题四川省广安市2022-2023学年高二上学期期末数学(理)试题四川省遂宁市2022-2023学年高二上学期期末数学(理科)试题四川省遂宁市2022-2023学年高二上学期期末数学文科试题(已下线)专题8.13 空间直线、平面的垂直(二)(重难点题型精讲)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)
名校
7 . 如图,在棱长为
的正方体
中,
是侧面
内的一个动点(不包含四边形
的边),则下列错误 说法的序号是______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/73106260-bbfa-4f4c-a897-ef5c2b450c21.png?resizew=157)
①三角形
的面积为定值;
②存在点
,满足
;
③三棱锥
的体积有最大值;
④存在无限个点
,使得三角形
是等腰三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/73106260-bbfa-4f4c-a897-ef5c2b450c21.png?resizew=157)
①三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7850e88507969a07a9515347b97c7b6e.png)
②存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a87e8258e0f105cbad09162b480e3ea5.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926f0aafa25355ba0c5335dc538f4751.png)
④存在无限个点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7850e88507969a07a9515347b97c7b6e.png)
您最近一年使用:0次
名校
解题方法
8 . 在长方体
中.
,
,
是线段
上的一动点,如下的四个命题中,
(1)
平面
;
(2)
与平面
所成角的正切值的最大值是
;
(3)
的最小值为
;
(4)以
为球心,
为半径的球面与侧面
的交线长是
.
真命题共有几个( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d262480ffb55b7617f44b63f130c154a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f86e2d69b11402d9d6cbb06e057778a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57132b0bd38c035fec010ee3be1bc8fe.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f8f7e40ba386c0a9675896b52752d6.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138e0045398b0f40258ae51abe8b6f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63c1f30aa78aada181a0923b6c1c69e.png)
(4)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b54387f870ae37f7951b253665d64f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5170e87322172ef27379adb171d4b76e.png)
真命题共有几个( )
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2022-11-10更新
|
547次组卷
|
3卷引用:四川省广安市第二中学校2022-2023学年高二下学期第一次月考数学(理)试题
四川省广安市第二中学校2022-2023学年高二下学期第一次月考数学(理)试题四川省泸州市叙永第一中学校2022-2023学年高二上学期第一学月教学质量检测数学(理)试题(已下线)专题8.18 立体几何初步全章综合测试卷(提高篇)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)
名校
解题方法
9 . 如图,在四棱锥P﹣ABCD中,
PAB是边长为2的等边三角形.梯形ABCD满足BC=CD=1,AB∥CD,AB⊥BC.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/1a768634-a473-45ca-95fe-2e447f201c0a.png?resizew=149)
(1)求证:PD⊥AB;
(2)若PD=2,求点D到平面PBC的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/1a768634-a473-45ca-95fe-2e447f201c0a.png?resizew=149)
(1)求证:PD⊥AB;
(2)若PD=2,求点D到平面PBC的距离.
您最近一年使用:0次
2022-09-21更新
|
669次组卷
|
5卷引用:四川省广安市第二中学校2022-2023学年高三上学期11月期中考试数学(文)试题
名校
解题方法
10 . 如图,在直棱柱
中,
,
,E为BC的中点,F为
的中点,则异面直线AF与
所成角的正弦值为( )
![](https://img.xkw.com/dksih/QBM/2022/7/19/3026095549366272/3026689544929280/STEM/25a17ce4379844f1b82016a138573ea4.png?resizew=167)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba5d34d3edfc929177ef9af82d5d0bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e516121599c9fcc528121c00afcf52fc.png)
![](https://img.xkw.com/dksih/QBM/2022/7/19/3026095549366272/3026689544929280/STEM/25a17ce4379844f1b82016a138573ea4.png?resizew=167)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-07-20更新
|
1780次组卷
|
15卷引用:四川省广安市2022-2023学年高二上学期期末数学(文)试题
四川省广安市2022-2023学年高二上学期期末数学(文)试题四川省广安市2022-2023学年高二上学期期末数学(理)试题黑龙江省大庆市大庆实验中学2021-2022学年高一下学期期末数学试题(已下线)第04讲 空间直线、平面的垂直 (高频考点—精练)(已下线)第八章 立体几何初步 讲核心 02四川省遂宁市2022-2023学年高二上学期期末数学(理科)试题四川省遂宁市2022-2023学年高二上学期期末数学文科试题(已下线)13.2 基本图形位置关系(分层练习)(已下线)专题强化训练四 直线与平面所成的角、二面角的平面角的常见解法(2)-《考点·题型·技巧》陕西省安康市石泉县江南中学等校2022-2023学年高二下学期期中理科数学试题陕西省安康市石泉县江南中学2022-2023学年高二下学期期中文科数学试题陕西省安康市2022-2023学年高二下学期期中文科数学试题(已下线)核心考点08空间直线、平面的垂直-【满分全攻略】2022-2023学年高一数学下学期核心考点+重难点讲练与测试(人教A版2019必修第二册)陕西省安康市2022-2023学年高二下学期期中理科数学试题(已下线)8.6.2直线与平面垂直(第2课时) 直线与平面垂直的性质(分层作业)-【上好课】