名校
1 . 在正方体
中,
分别是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/cc1a8c41-d14d-4d82-9c4f-2c270a01de51.png?resizew=177)
(1)证明:平面
平面
;
(2)求直线
与
所成角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9ba90b720518d70eb4d365b2afaeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852d08efc977d214815e8b4c1b7b6d36.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/cc1a8c41-d14d-4d82-9c4f-2c270a01de51.png?resizew=177)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd4f6235437f9ad1007c5cc0a7bec8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96872cd6cd581ae8a861c7032e0257b4.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554b3b4c5ce7aca81becc07ed4903736.png)
您最近一年使用:0次
2022-10-29更新
|
868次组卷
|
13卷引用:江西省宜春市宜丰县宜丰中学2022-2023学年高一上学期期中考试数学试题
江西省宜春市宜丰县宜丰中学2022-2023学年高一上学期期中考试数学试题四川省达州市2021-2022学年高二上学期期末数学(理)试题四川省遂宁中学校2021-2022学年高二下学期开学考试数学(理)试题四川省遂宁中学校2021-2022学年高二下学期开学考试数学(文)试题四川省遂宁中学校2022-2023学年高二上学期9月月考数学(文)试题河南省濮阳市南乐县第一高级中学2022-2023学年高二上学期第二次月考理科数学试题上海市洋泾中学2022-2023学年高二上学期期中数学试题四川省达州市达川区铭仁园学校2022-2023学年高二上学期第一次规范性训练理科数学试题(已下线)8.5.3 平面与平面平行(2)-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)第四节?直线,平面垂直的判定与性质(A素养养成卷)上海市实验学校东滩高级中学2023-2024学年高二上学期期中考试数学试题(已下线)期中真题必刷常考60题(22个考点专练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)(已下线)专题04平面与平面的位置关系(2个知识点8种题型)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(沪教版2020必修第三册)
名校
解题方法
2 . 如图,矩形
所在平面与半圆弧
所在平面垂直,M是
上异于C,D的点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/7/c35bff93-6a8a-41ce-8715-afd6132a8212.png?resizew=180)
(1)证明:
平面
;
(2)在线段
上是否存在点P,使得
平面
?说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/7/c35bff93-6a8a-41ce-8715-afd6132a8212.png?resizew=180)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d0492b25f10ae45c39f8e9838519259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c5ef850e256c98ca4f033999e61311.png)
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3219a5fbe920e617eff32e558c0c6ac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
您最近一年使用:0次
2022-07-05更新
|
910次组卷
|
7卷引用:江西省萍乡市2021-2022学年高一下学期期末考试数学试题
江西省萍乡市2021-2022学年高一下学期期末考试数学试题河南省驻马店市新蔡县第一高级中学2021-2022学年高二下学期7月月考文科数学试题(已下线)7.2 空间几何中的垂直(精练)(已下线)9.3 空间点、直线、平面之间的位置关系(已下线)立体几何专题:立体几何探索性问题的8种考法(已下线)专题强化一 线面、面面的平行和垂直位置关系-《考点·题型·技巧》(已下线)高一下期末真题精选(基础60题60个考点专练)
3 . 如图,在四棱锥
中,底面ABCD是正方形,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/7afde5fc-a045-4899-af2c-1df40cdfa3b0.png?resizew=187)
(1)证明:平面
平面
;
(2)求
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531496172673a735ddf36284fa45fb81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0051d92c8639713847682826c2bb9783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5a20de5ab5d40c465b0353fe3c5e589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66536456c67fce11a510d3dad864dc2e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/7afde5fc-a045-4899-af2c-1df40cdfa3b0.png?resizew=187)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25cc199e2f29f643482f19d8b345ea54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ef387d93efb947fbe046f5f19703e7.png)
您最近一年使用:0次
2022-10-26更新
|
503次组卷
|
4卷引用:江西省丰城中学、新余一中2023届高三上学期联考数学(文)试题
4 . 如图,在四棱锥
中,底面是矩形,
.
是等腰直角三角形,
,且平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/30/dedc81d7-003c-4793-b61b-853f0a8043ff.png?resizew=166)
(1)求证:
;
(2)若
,求点C到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5181b97a7e43959b8455680157c3b644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a916d31a199e250556fb7478d9f57f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/30/dedc81d7-003c-4793-b61b-853f0a8043ff.png?resizew=166)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9396a2523d078c7fafbdcf231a9e772d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
您最近一年使用:0次
2022-09-28更新
|
367次组卷
|
2卷引用:江西省“红色十校”2023届高三上学期第一联考数学(文)试题
5 . 如图,在四棱锥
中,底面
为直角梯形,
,
平面
底面
,
分别为
的中点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/f2c9d81b-3f09-497a-b9df-024068d8462e.png?resizew=172)
(1)求证:平面
平面
;
(2)求点A到平面MQB的距离.
![](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/143b7d114a732d51fcb5e45d89590124.png)
平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b927242223336dee4ae69314709172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2682f3f3f0f72c893b99073bcac83ff2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3528422b3697cb8900ec82d61c75c9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/f2c9d81b-3f09-497a-b9df-024068d8462e.png?resizew=172)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c51c4a1148587943fe9ba210f6141ee.png)
(2)求点A到平面MQB的距离.
您最近一年使用:0次
名校
解题方法
6 . 四棱锥P-ABCD中,PC⊥平面ABCD,底面ABCD是等腰梯形,且
,
,
,
,M是棱PB的中点.
平面
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be41b05e11ba5eadaaed9a224b949774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0684e0b09b04661c602437982c0397.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9bad875ab4b5b8c707d452db4cabaa4.png)
您最近一年使用:0次
2022-05-08更新
|
719次组卷
|
5卷引用:江西省南昌市八一中学2022届高三下学期三模数学(文)试题
解题方法
7 . 如图,四棱锥
的底面是正方形,
垂直于底面
,
是
的中点,求证:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/86833a83-ba24-4643-aa9f-5f91f3864086.png?resizew=171)
(1)
平面
;
(2)求异面直线
与
所成的角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5821ab58ef24aba5437d44ccc5ec7c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30f79effb3de7e1d12055b6c2482018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/86833a83-ba24-4643-aa9f-5f91f3864086.png?resizew=171)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45fbffb9e2c7fa7c5006cde8da0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ac7cf883a6e586d06e3f33875bd95b.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
您最近一年使用:0次
名校
解题方法
8 . 如图,在四棱锥
中,平面
平面
,
为等边三角形,
,
,
,
是棱
上一点且
.
![](https://img.xkw.com/dksih/QBM/2022/6/30/3012436271202304/3013232979476480/STEM/895a5a6593a04079b80d62d7b0de78f6.png?resizew=208)
(1)求证:
平面
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342d452a7b850cd3a15b23619ad39bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dc26d4912a7f0b94a965550b064eea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bc77b37986d658edad69992c5ea0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88c44f558705de3bcefcfc0ece96b8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d20fec32122b4a70b993976201c9ba9.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/df46cb89ec29c07e6d7b373cf845f7d7.png)
![](https://img.xkw.com/dksih/QBM/2022/6/30/3012436271202304/3013232979476480/STEM/895a5a6593a04079b80d62d7b0de78f6.png?resizew=208)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d8677ae5ca7acf874d93789425d172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af29254fe60a392c249c5791279e9c8.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a92af7c045c412878d82935956215976.png)
您最近一年使用:0次
名校
解题方法
9 . 如图,在四棱锥P-ABCD中,PA⊥底面ABCD,AD∥BC,∠DAB=90°,AB=BC=
=2,E为PB的中点,F是PC上的点.
(2)求点C到平面PBD的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c605f428994894bf0b0d9f066ac7495c.png)
(2)求点C到平面PBD的距离.
您最近一年使用:0次
2022-10-04更新
|
596次组卷
|
15卷引用:江西省赣州市赣县第三中学2022-2023学年高二上学期期中测试数学试题
江西省赣州市赣县第三中学2022-2023学年高二上学期期中测试数学试题五岳(湖南、河南、江西)2019-2020学年高三下学期3月线上联考数学(文)试题1江西省贵溪市实验中学2020-2021学高二上学期期中考试数学(理)试题江西省贵溪市实验中学2020-2021学年高二12月月考理科数学试题四川省泸州市江阳区2021-2022学年高三上学期期末数学文科试题河南省中原名校联盟2021-2022学年高二上学期第二次适应性联考理科数学试题(已下线)第03讲 直线、平面平行垂直的判定与性质(讲)江苏省南京市金陵中学2022-2023学年高二上学期10月月考数学试题五岳(湖南、河南、江西)2019-2020学年高三下学期3月线上联考数学(文)试题22020届福建连城县第一中学高三4月模拟考试数学(文)试题2020届河南省高三4月第三次在线网上联考文科数学2020届河南省高三下学期第三次(4月份)联考(文科) 数学试题2020届宁夏银川市第九中学高三下学期第二次模拟考试数学(文)试题吉林省通钢一中、集安一中、梅河口五中等省示范高中2020届高三(5月份)高考数学(文科)模拟试题湖南省永州市第一中学2023-2024学年高一下学期5月月考数学试卷
解题方法
10 . 如图,在四棱锥P-ABCD中,四边形ABCD是边长为4的菱形,
,
是等边三角形,AC交BD于点O.
![](https://img.xkw.com/dksih/QBM/2022/4/24/2965231308267520/2967245641916416/STEM/52bdbcaaeddb496fa1042a025c433252.png?resizew=200)
(1)求证:
;
(2)若
,求点C到平面PAB的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87b2f446cccf2652c090e99a75beb3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acee03d4bb4667b6c345221b6c9b0fa4.png)
![](https://img.xkw.com/dksih/QBM/2022/4/24/2965231308267520/2967245641916416/STEM/52bdbcaaeddb496fa1042a025c433252.png?resizew=200)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5d56d8170b764b80a672cd6c861921.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20926da6f0c9f3eb0441f1451dd76c98.png)
您最近一年使用:0次