名校
1 . 设A,B,C表示不同的点,n,l表示不同的直线,
,
表示不同的平面,下列说法正确的是( )
![](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![]() ![]() ![]() ![]() |
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2 . 如图,在正方体
中,
,
为棱
的中点,
是正方
内部(含边界)的一个动点,且
∥平面
,
(1)求动点
的轨迹长度
(2)求平面
与平面
夹角的正切值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b724168afaee2ecddf97257180be18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc725182c2fd1413319fea35b95c7dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923189afc198d153c79059a827f63c87.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/14/a40107fa-d6a9-4ac2-acbf-1964d888ef0d.png?resizew=167)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/923189afc198d153c79059a827f63c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
名校
3 . 如图,在正方体
中,已知E,F,G,H,分别是
,
,
,
的中点,则下列结论中错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
A.C,G,![]() | B.直线![]() ![]() |
C.平面![]() ![]() | D.直线EF和HG所成角的正切值为![]() |
您最近一年使用:0次
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6卷引用:四川省成都市2022-2023学年高二下学期期末零诊测试文科数学试题
四川省成都市2022-2023学年高二下学期期末零诊测试文科数学试题四川省成都市2022-2023学年高二下学期期末零诊测试理科数学试题四川省南充高级中学2023-2024学年高二上学期第一次月考数学试题8.5.3平面与平面平行练习(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)四川省成都市2024届高三下学期零诊摸底测试理科数学试题卷
解题方法
4 . 如图,在四棱锥
中,平面
平面
,
,四边形
为正方形,
为
的中点,
为
上一点,
为
上一点,且平面
平面
.
;
(2)求证:
为线段
中点,并直接写出
到平面
的距离;
(3)在棱
上是否存在点
,使得平面
平面
?若存在,求
;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/877582b5387278008d14fe5932622fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c3c208328b69d1b33a827a541413cbc.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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4db9b82b67efe45a02fca32bfcf5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0bb004cc40766325d532e6e4a99080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef796b46e68fe77b117ff0483d2370c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0d3228717a954dd5be8f9585833c13.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef796b46e68fe77b117ff0483d2370c.png)
(3)在棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2bc5e50b8dfa02601c70822252854a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3834847059043d4677c6be33d9a81141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/357cfce14885f38c7e0589ac6b1e1353.png)
您最近一年使用:0次
2023-07-10更新
|
784次组卷
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5卷引用:北京市西城区2022-2023学年高一下学期期末考试数学试题
北京市西城区2022-2023学年高一下学期期末考试数学试题(已下线)专题8.11 立体几何初步全章十四大压轴题型归纳(拔尖篇)-举一反三系列(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(已下线)专题06 空间中点线面的位置关系6种常考题型归类(2) -期期末真题分类汇编(北京专用)【北京专用】专题15立体几何与空间向量(第四部分)-高一下学期名校期末好题汇编
名校
5 . 如图,三棱柱
中,面
面
,
,
,
.过
的平面交线段
于点
(不与端点重合),交线段
于点
.
(1)求证:四边形
为平行四边形;
(2)若
,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002c709e9fee8d477bddfe595cc760f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70d708336d4f15e7fca0b26acb353b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/11/8d697816-e613-49a7-8f9d-005356857e1a.png?resizew=217)
(1)求证:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bbb740f8bc13b4be8ca4dc0aef5442.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf4f947e0f238c37854afa0bf6b93a8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27039783266a69df2a96ea0c36cbdcd5.png)
您最近一年使用:0次
2023-07-09更新
|
302次组卷
|
3卷引用:湖北省荆门市2022-2023学年高二下学期期末数学试题
湖北省荆门市2022-2023学年高二下学期期末数学试题(已下线)专题1.5 空间向量的应用【十大题型】-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)安徽省黄山市屯溪第一中学2023-2024学年高二上学期10月月考数学试题
名校
解题方法
6 . 如图,在四棱柱
中,
平面
,
,
,
,
为棱
上一动点,过直线
的平面分别与棱
,
交于点
,
,则下列结论正确的是______ .
对于任意的点
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6cf581aa9602fd1f47ff0fd9292d321.png)
对于任意的点
,四边
不可能为平行四边形
当
时,存在点
,使得
为等腰直角三角形
存在点
,使得直线
平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd694ad3a4733c7c84aaa7946aeea4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/326a3339175592bd1e793a9054d57fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31592debc5e64c63e32aadb800033a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbcc34f6ccb142cc9198aa7169d4e0f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deae2b8fc8c0f4f049ce20c881fb2e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b094e639c2b31dc54b1b3e6456e77843.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128147bd4834566a78b4e9d2a3b2139c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c5b6dfff10cb3dc3e06509db56d7b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd8089bf8a278810573965bc1fb919b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6cf581aa9602fd1f47ff0fd9292d321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c650fe55b7603f106c53ca2423451c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30159541e722542927a72056d89915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e415812cca9545611c0faa0c01b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea45e0eee8eff53b6f3015a4ff3aa0d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c559d71714a176e5581c9da57503f1d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8b8edd94bc4d5d517ec77e56800e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a6b190811e7735c33b1177ba2c0de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30159541e722542927a72056d89915.png)
您最近一年使用:0次
2023-07-08更新
|
449次组卷
|
5卷引用:四川省泸县第一中学2023届高三三诊模拟考试理科数学试题
四川省泸县第一中学2023届高三三诊模拟考试理科数学试题四川省泸县第一中学2023届高三三诊模拟考试文科数学试题(已下线)专题10 空间向量与立体几何-3(已下线)第一章 点线面位置关系 专题一 空间平行关系的判定与证明 微点2 空间直线平行的判定与证明综合训练【基础版】(已下线)8.5.3 平面与平面平行【第三课】“上好三节课,做好三套题“高中数学素养晋级之路
7 . 如图,圆柱
的底面半径与高均为2,AB为
的直径,
分别为
,
上的点,直线CD与线段
交于O点.
(1)证明:O为线段
的中点;
(2)若AC与下底面所成的角为
,求直线BC与平面ACD所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd73875650e1538c4c61d5e16d3db29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39acab3cfb59bfc9591371721ab01d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0385df6c7f8ee7ab503b6ed35933695b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd73875650e1538c4c61d5e16d3db29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/10/bb581c28-ae4c-4f4e-8d7f-b92e2b91a12e.png?resizew=179)
(1)证明:O为线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e65ac334119ccd6204402a7aba29a55.png)
(2)若AC与下底面所成的角为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
您最近一年使用:0次
名校
解题方法
8 . 如图,在长方体木块
中,
,
,
.棱
上有一动点
.
,过点
画一个与棱
平行的平面
,使得
与此长方体的表面的交线围成一个正方形
(其中交线
在平面
内).在图中画出这个正方形
(不必说出理由),并求平面
将长方体分成的两部分的体积比;
(2)若平面
交棱
于
,求四边形
的周长的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7788830ed1cb3b9c5988f70f43595f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f686d7497de2e660b17dedea238907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db3ef97d64e58d311019b70fe5e2cc0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ecff976dee04e6117ca6ebc8b68ffb7.png)
您最近一年使用:0次
2023-07-08更新
|
487次组卷
|
5卷引用:广东省佛山市普通高中2022-2023学年高一下学期期末数学试题
解题方法
9 . 如图,在正方体
中,M,N分别为棱
,
的中点,过点
、M、N作正方体的截面
交
于点Q,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5873aca78e0e8090cd3eeec8e62abd31.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5873aca78e0e8090cd3eeec8e62abd31.png)
您最近一年使用:0次
名校
解题方法
10 . 已知长方体
中,
,点M为
的中点,且
,则平面
被长方体
截得的平面图形的周长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2f7189846c1e42ef13d0c64290da1be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed2f706801662432b68797e72647c6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
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2023-07-07更新
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6卷引用:广东省江门市2022-2023学年高一下学期期末数学试题
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