名校
解题方法
1 . 已知四棱锥
中,底面
是梯形,
,
,
,
,
,
分别是
的中点.求证:
平面
;
(2)
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/ee8ef58be8708144272538ee427fb92c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da35bb9885f79a36532f21139f9f99d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d783fe7f3ce673d5d21281174e7a7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c383691e8d740830a865b12d66f7633.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1457d2e76a5b86de1abf121c51eb9d35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f33fa5152ba27f7b8a28890cefca219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2af0a097c6c0870b0db6a9bec14e4f.png)
您最近一年使用:0次
2024高一下·全国·专题练习
解题方法
2 . 求证:空间四边形相邻两边中点的连线平行于经过另外两边的平面.
已知:如图,空间四边形
中,E,F分别是
,
的中点.
平面
.
已知:如图,空间四边形
![](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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
3 . 如图,多面体
中,四边形
与四边形
均为梯形.已知点
四点共面,且
.证明:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61510c34c5795d7261569b4d09098271.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dddb7e8d3e52c81162d138810af5bb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5621bcd3da779fc20ee56f93135a654a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd3abb3492dffd6f123a7c756bdbf53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
您最近一年使用:0次
2024高二·全国·专题练习
解题方法
4 . 如图,四棱锥
中,四边形
是矩形,
,
,
为正三角形,且平面
平面
,
、
分别为
、
的中点.证明:
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/68b40d0d2f3cdd8981bb792ad87efb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5a7c298441968300f7653f59e837fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
5 . 如图,在四棱锥
中,
分别为
的中点,连接
.当
为
上不与点
重合的一点时,证明:
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a211a44ffb09c7413dac58e9cea70fd9.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/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfaa712e64750e3e2843bae68ebad6d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb10d645970e5860afd3430957fab6c.png)
![](https://img.xkw.com/dksih/QBM/2023/11/10/3365061794160640/3366420117659648/STEM/aa8f64624b9948aab22435c44b515907.png?resizew=151)
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
6 . 如图,在多面体
中,面
是正方形,
平面
,平面
平面
,
四点共面,
,
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812b915a549bf052c35dcb886242f83f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc7991ea17d54ff5f4445ac5699463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d226de75cd53f8af26360a101aa4bbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95893879ed5feeef3cb2cf68a1a88632.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0cee0f36dc452e58086832c0152b641.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8139d9fd5c670c91aa7dc485366dd1e.png)
您最近一年使用:0次
2023-11-12更新
|
1690次组卷
|
7卷引用:第03讲 直线、平面平行的判定与性质(八大题型)(讲义)
(已下线)第03讲 直线、平面平行的判定与性质(八大题型)(讲义)8.5.3平面与平面平行练习(已下线)第10讲 8.5.3 平面与平面平行-【帮课堂】(人教A版2019必修第二册)(已下线)13.2.4 平面与平面的位置关系(1)-【帮课堂】(苏教版2019必修第二册)(已下线)专题8.8 空间中的线面位置关系大题专项训练【七大题型】-举一反三系列(已下线)第8.5.3讲 平面与平面平行-同步精讲精练宝典(人教A版2019必修第二册)(已下线)第十一章:立体几何初步章末重点题型复习(2)-同步精品课堂(人教B版2019必修第四册)
名校
解题方法
7 . 如图,在正方体
中,E是
的中点.
平面
;
(2)设正方体的棱长为1,求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0424446817f60c18f8e4e3cc202ad99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f647de53756993a680347e8ce3c0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c66d99a6a8415ddad22bbed33b64cfb.png)
(2)设正方体的棱长为1,求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a79fe6289d42058b781171fbd0b92e.png)
您最近一年使用:0次
2024-01-02更新
|
5327次组卷
|
9卷引用:内蒙古呼伦贝尔市满洲里远方中学2023-2024学年高二上学期12月模拟考试数学试卷
内蒙古呼伦贝尔市满洲里远方中学2023-2024学年高二上学期12月模拟考试数学试卷福建省福州市长乐第一中学2024届高三上学期1月考试数学试题广东省普通高中2024届高三合格性考试模拟冲刺数学试题(四)(已下线)第八章 立体几何初步(单元重点综合测试)-单元速记·巧练(人教A版2019必修第二册)(已下线)第05讲 空间直线﹑平面的平行-《知识解读·题型专练》重庆市万州二中教育集团2023-2024学年高一下学期期中考试数学试卷湖南省娄底市普通高中学业水平合格性考试(三)数学试题云南省下关第一中学2023-2024学年高一下学期5月期中考试数学试题(已下线)11.3.2直线与平面平行-同步精品课堂(人教B版2019必修第四册)
2023高三·全国·专题练习
解题方法
8 . 如果两个平面平行,那么一个平面内的任何一条直线与另一个平面都平行.
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
9 . 如图,已知正方体
,点
是棱
的中点.在棱
上找一个点
,使直线
与平面
平行并证明.
![](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/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1f68454096da710903e9693c7f2015.png)
您最近一年使用:0次
2023高三·全国·专题练习
解题方法
10 . 如图,在四棱锥
中,
平面
,
,
,且
,点
为棱
上一点(不与
重合),平面
交棱
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/31/2e9d64d0-adea-4e7a-87d0-11258b6517c5.png?resizew=190)
求证:
.
![](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/593047673ef5e635015c3993bbe4005d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e77c16357eabed95d85bbd4e3dada92e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05740f0c6071846227dc0ec177ad15e8.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/fc793a6afea747370cae351b53efd46e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/31/2e9d64d0-adea-4e7a-87d0-11258b6517c5.png?resizew=190)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944d0397ac8fa28e487f429dc42efe60.png)
您最近一年使用:0次