1 . 如图,平面
平面
,四边形
为矩形,
为正三角形,
,
为
的中点.
平面
;
(2)已知四棱锥
的体积为
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf9a6db3571fa57bfa2d5e4d44c51b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c610eab074474dc50696f6c482f7297.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0923c7ceaa0ca373ee0fd09a96d084ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eae2409b93de8eebbeee9c01ac7fe30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a8507f2af46db667e7c98ad106c886e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d1660ea13653a5aec705600edf0d56e.png)
(2)已知四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2542516d7c81bbf8bfb68dcd876f7d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/839c7616cd0d90265f4b2c9c021254fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb0c8edc1765b9386308775bccd268.png)
您最近一年使用:0次
2023-09-06更新
|
1630次组卷
|
8卷引用:云南省大理白族自治州祥云县祥云祥华中学2023-2024学年高一下学期4月二调数学试题
云南省大理白族自治州祥云县祥云祥华中学2023-2024学年高一下学期4月二调数学试题(已下线)第八章 立体几何初步(压轴题专练)-单元速记·巧练(人教A版2019必修第二册)(已下线)高一下学期期中复习解答题压轴题十八大题型专练(2)-举一反三系列(人教A版2019必修第二册)四川省成都市四七九名校2023届高三全真模拟考试(二)文科数学试题(已下线)高三数学开学摸底考02(新考法,新高考七省地区专用)四川省泸州市泸县第五中学2024届高三上学期期末数学(文)试题四川省宜宾市叙州区第二中学校2024届高三上学期期末数学(文)试题(已下线)第二章 立体几何中的计算 专题二 空间距离 微点3 点到平面的距离(二)【培优版】
2 . 如图,多面体
中,四边形
为矩形,
,
.求证:
(1)平面
平面
;
(2)平面
平面
.
![](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/5519c1efed9b34725446c2ee488ab3c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbb52f9b226b1db3f6f9f055948bd38.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/29/65d87c88-5db8-46c5-a3c4-bd28fe03c569.png?resizew=248)
(1)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e83e602c2b4540c6c7454f5f0948544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
(2)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
您最近一年使用:0次
名校
解题方法
3 . 如图所示,在三棱锥
中,
平面
,
,过点
分别作
,
,
,
分别为垂足.
平面
;
(2)求证:
.
![](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/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfbaf73297240eb116f22489519895a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f392902d611863c6908a48e696e7bd8f.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/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4a6a1e70241d600bc6c104313eac61.png)
您最近一年使用:0次
2022-06-10更新
|
990次组卷
|
2卷引用:云南省大理白族自治州民族中学2023-2024学年高一下学期6月月考数学试题
4 . 如图,在底面为正三角形且侧棱垂直于底面的三棱柱
中,
,
分别是
,
的中点.求证:
(1)平面
‖平面
;
(2)平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
(1)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223b0eb54c1e71f75e58e64a19d169f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/161a4660d3a35f0de6af3d9068cf7bea.png)
(2)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497fcba48527feaff406cbddea38ceb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/24/2d0c37bd-0fb6-4c0a-9883-ba8074cd030c.png?resizew=147)
您最近一年使用:0次
2021-08-09更新
|
312次组卷
|
5卷引用:云南省巍山彝族回族自治县第二中学2020-2021学年高一下学期第三次月考数学试题
云南省巍山彝族回族自治县第二中学2020-2021学年高一下学期第三次月考数学试题云南省弥勒市第一中学2020-2021学年高一下学期第三次月考数学试题云南省曲靖天人高级中学2022-2023学年高一下学期期中考试数学试题(已下线)专题8.5 直线、平面垂直的判定及性质(练)- 2022年高考数学一轮复习讲练测(新教材新高考)云南省昭通市绥江县第一中学2020-2021学年高二上学期第一次月考数学试题
解题方法
5 . 如图,点
在正方体
的面对角线
上运动,则下列结论正确的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/ea5029aa-b104-4511-a4a2-e414e6e8c756.png?resizew=161)
①三棱锥
的体积不变;
②
平面
;
③平面
平面
;
④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/ea5029aa-b104-4511-a4a2-e414e6e8c756.png?resizew=161)
①三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc3944c111981276a26c0758c8334e9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f86e2d69b11402d9d6cbb06e057778a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
③平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecb955df71b56b325021d2552303285f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7977ab975efa6411cc17de39be70d9.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b55a1025a3370c7ef042fce6e01354a7.png)
A.4 | B.3 | C.2 | D.1 |
您最近一年使用:0次
名校
解题方法
6 . 如图所示的多面体中,
菱形,
是矩形,
⊥平面
,
,
.
(Ⅰ)异面直线
与
所成的角余弦值;
(Ⅱ)求证平面
⊥平面
;
(Ⅲ)在线段
取一点
,当二面角
的大小为60°时,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9edb692f6eea9345236a46062889afee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8946331b0a9d86e1a9c78797f3021455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bef0b732956d755949fbe043da0580c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c57a89c88ee60543127f383768d308.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/20/5233c0e9-1820-4043-9620-4a4202d908bb.png?resizew=160)
(Ⅰ)异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f79d7939c88e9702962e5917cad290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cdd9f345915ae742ed3dcd3f9678264.png)
(Ⅱ)求证平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00d4825584cf2a3f381de72c179e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61888b860803c053d8d95d36222a0dec.png)
(Ⅲ)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e23a2a4a4827d336cbdbe7a24f18e78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e55f313b67a19731d164422617f028.png)
您最近一年使用:0次
2017-02-17更新
|
2846次组卷
|
3卷引用:云南省大理州下关一中教育集团2022-2023学年高一下学期段考(二)数学试题