名校
解题方法
1 . 已知m,n为两条不同的直线,
,
为两个不同的平面,则下列命题错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.若![]() ![]() ![]() ![]() | B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() | D.若![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
2 . 如图,在四棱锥
中,底面
是菱形,
为
的中点,
为
的中点.
平面
;
(2)过点
,
,
的平面与棱
交于点
,求证:
是
的中点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a5faf3cbb633fc4294c8ce703c64c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7592c4f01c8e06c7ee90df5b9413a9f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3201d3796ed9a29338aac25245a7c8e2.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
您最近一年使用:0次
2024-05-09更新
|
1653次组卷
|
4卷引用:天津市第四十七中学2023-2024学年高一下学期5月期中考试数学试题
天津市第四十七中学2023-2024学年高一下学期5月期中考试数学试题(已下线)6.4.2平面与平面平行-【帮课堂】(北师大版2019必修第二册)(已下线)6.4 .1 直线与平面平行-同步精品课堂(北师大版2019必修第二册)江苏省扬州市第一中学2023-2024学年高一下学期5月教学质量调研评估数学试题
名校
3 . 如图,在四棱锥
中,平面
内存在一条直线
与
平行,
平面
,直线
与平面
所成的角的正切值为
,
,
.
是直角梯形.
(2)若点
满足
,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca2a4dbf01ea9a4837573fb433116d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a301baf6cc0628366e6661a87a2d93ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd78dfe6e52155dbee08d33ae63be40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51c49eed6d720f2dc30cf1a79721bfd.png)
您最近一年使用:0次
2024-05-08更新
|
1640次组卷
|
6卷引用:河北省保定市九校2024届高三下学期二模数学试题
名校
解题方法
4 . 如图,已知四棱锥
中,底面
是平行四边形,
为侧棱
的中点.
平面
;
(2)若
为侧棱
的中点,求证:
平面
;
(3)设平面
平面
,求证:
.
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ea0adc03fc8ba355dbdac586f4b707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466fabcaac59132fea648ff35342ec9d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d923a338dd2d2e29336b42574d38448.png)
(3)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210dbaa21f2f54fe6045e9961731b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fde7cfb1172e9d79b89f8ec18f1e767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0cc699a65e140dd4be6195f25c1e85d.png)
您最近一年使用:0次
2024-05-08更新
|
5279次组卷
|
8卷引用:6.4.2平面与平面平行-【帮课堂】(北师大版2019必修第二册)
(已下线)6.4.2平面与平面平行-【帮课堂】(北师大版2019必修第二册)江苏省镇江市实验高级中学2023-2024学年高一下学期5月月考数学试卷(已下线)第11章:立体几何初步章末重点题型复习(2)-【帮课堂】(人教B版2019必修第四册)(已下线)必考考点5 立体几何中的位置关系 专题讲解 (期末考试必考的10大核心考点)(已下线)专题07 立体几何初步(1)-期末考点大串讲(人教B版2019必修第四册)福建省三明第一中学2023-2024学年高一下学期期中考试数学试卷江苏省无锡市辅仁高级中学2023-2024学年高一下学期5月月考数学试卷(已下线)专题06 立体几何初步解答题热点题型-《期末真题分类汇编》(江苏专用)
5 . 如图,在四棱台
中,已知底面
为正方形,M为
的中点,
,且
平面
,
.
平面
;
(2)若平面
与平面
所成的锐二面角的余弦值为
,求
的长.
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4032f71171b127da8ca7748e27580e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3980ea23301ddd8d3a773f6a3dfaf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7253ffd3fc633d861810ee2e872188b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c62519e9c9d0467db9eb8a6d849c2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a45953045e613b97eeee15ac188ae2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b724168afaee2ecddf97257180be18.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3414bf337e4831721c7d894f6e125369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc1c04946340198af69170d4ebd4b42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1985174e05ad371e13cf24d244423da4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
您最近一年使用:0次
名校
解题方法
6 . 如图所示,在三棱柱
中,过BC的平面与上底面
交于GH(GH与
不重合).
;
(2)若E,F,G分别是AB,AC,
的中点,求证:平面
平面BCHG.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b16cff607cdc2d69afc70dc778acbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c395995709967f0dc16cb62c31b894.png)
(2)若E,F,G分别是AB,AC,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b98d124bebd7b468f3c5b922851a1ec.png)
您最近一年使用:0次
2024-05-07更新
|
2948次组卷
|
8卷引用:6.4.2平面与平面平行-【帮课堂】(北师大版2019必修第二册)
(已下线)6.4.2平面与平面平行-【帮课堂】(北师大版2019必修第二册)(已下线)6.4 .2 平面与平面平行-同步精品课堂(北师大版2019必修第二册)(已下线)专题04 第八章 立体几何初步(1)-期末考点大串讲(人教A版2019必修第二册)(已下线)第11章:立体几何初步章末重点题型复习(2)-【帮课堂】(人教B版2019必修第四册)(已下线)必考考点5 立体几何中的位置关系 专题讲解 (期末考试必考的10大核心考点)山东省枣庄市第三中学2023-2024学年高一下学期期中考试数学试题广东省江门市新会第一中学等2023-2024学年高一下学期5月联考数学试题(已下线)专题06 立体几何初步解答题热点题型-《期末真题分类汇编》(江苏专用)
名校
解题方法
7 . 如图所示,棱长为3的正四面体形状的木块,点
是
的重心,过点
将木块锯开,并使得截面平行于
和
,则截面的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
解题方法
8 . 在直三棱柱
中,
是
的中点,
是
的中点,
是
上一点,且
平面
.
;
(2)若
,求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a683d93388741d42e579c31714e2d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9abe6e8d1f4f1e8bdc46ddbae0cd789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe7677726d2ce1cd7cb81bb706eef8ac.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/090634d14f3060489186a32121377e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3808695d7a8a90f6d4c0d55f7166ad19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de9078475c350c04bd97666d808dd55a.png)
您最近一年使用:0次
名校
解题方法
9 . 如图,在空间四边形
中、点
、
分别是边
、
上的点,
、
分别是边
、
上的点,
,
,则下列关于直线
,
的位置关系判断正确的是( )
![](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/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841975e06b7db0367d36171663988b81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8608872aed00ca36189d778492c219d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() ![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次
2024-05-04更新
|
1239次组卷
|
5卷引用:广东省广州市广州中学2023-2024学年高一下学期期中考试数学试卷
广东省广州市广州中学2023-2024学年高一下学期期中考试数学试卷(已下线)6.4.1直线与平面平行-【帮课堂】(北师大版2019必修第二册)(已下线)第8.5.2讲 直线与平面平行-同步精讲精练宝典(人教A版2019必修第二册)(已下线)11.3.1&11.3.2 平行直线与异面直线、直线与平面平行-【帮课堂】(人教B版2019必修第四册)(已下线)专题07 立体几何小题常考题型归类-期末考点大串讲(人教B版2019必修第四册)
2024高一下·全国·专题练习
名校
解题方法
10 . 如图,已知四棱锥
的底面ABCD为平行四边形,
分别是棱
的中点,平面CMN与平面PAD交于PE. 求证:
平面
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbb19cb4eb2d7f3207559eb07355ba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c89b039cb3a43295ae39d5328bf57f7.png)
您最近一年使用:0次