名校
解题方法
1 . 已知直线
:
,
:
,则“
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1daf31699417d7f21ba42d898bf5351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/048ff38446a6756b07b2da851f2a6298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75499f10073d8b809f1fd4fe456152bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2020-12-30更新
|
607次组卷
|
9卷引用:湖北山东部分重点中学2020-2021学年高三上学期12月教学质量联合检测数学试题1
湖北山东部分重点中学2020-2021学年高三上学期12月教学质量联合检测数学试题1湖北山东部分重点中学2020-2021学年高三上学期12月教学质量联合检测数学试题2江苏省南京市江宁高级中学2020-2021学年高三上学期迎接八省联考适应性练习数学试题辽宁省锦州市黑山县黑山中学2022-2023学年高三上学期9月月考数学试题(已下线)专题1.1 命题及其关系-2020-2021学年高二数学课时同步练(苏教版选修1-1)(已下线)专题1.1 命题及其关系-2020-2021学年高二数学课时同步练(苏教版选修2-1)河北省元氏县第四中学2020-2021学年高二上学期期末数学试题(已下线)第二章 直线和圆的方程 2.2直线的方程-2021-2022学年高二数学上学期同步课堂习题测试(人教A版2019选择性必修第一册)(已下线)综合复习与测试基础提升(卷二)-【提升专练】2021-2022学年高二数学新教材同步学案+课时对点练(苏教版2019选择性必修第一册)
名校
2 .
、
是两个平面,
、
是两条直线,则下列命题中正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2020-11-26更新
|
924次组卷
|
7卷引用:2020届山东省济宁市高三5月(二模)模拟数学试题
2020届山东省济宁市高三5月(二模)模拟数学试题(已下线)专题42 空间点、直线、平面的位置关系综合练习-2021年高考一轮数学单元复习一遍过(新高考地区专用)辽宁省北镇市满族高级中学2022-2023学年高三上学期第四次质量检测数学试题(已下线)专题8.3 立体几何初步 章末检测3(难)-【满分计划】2021-2022学年高一数学阶段性复习测试卷(人教A版2019必修第二册)广东省梅州兴宁市第一中学2021-2022学年高一下学期期中数学试题第六章 立体几何初步 单元测试卷-2021-2022学年高一下学期数学北师大版(2019)必修第二册广西壮族自治区2022-2023学年高一下学期期末考试数学模拟试试题
解题方法
3 . 如图:正四面体
中,
分别为线段
的中点,
是线段
的中点.
![](https://img.xkw.com/dksih/QBM/2020/10/29/2581356371673088/2587305446277120/STEM/84b5173473b64ebdba7a22c33c435bd1.png?resizew=227)
(1)求证:
平面
;
(2)若此正四面体的边长为4,记异面直线
所成的角为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47891397990336f55f96bd66d367758b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
![](https://img.xkw.com/dksih/QBM/2020/10/29/2581356371673088/2587305446277120/STEM/84b5173473b64ebdba7a22c33c435bd1.png?resizew=227)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdcbfb4d473b0a5a5b07fcdcb9ee3644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/945d27bb4d47e78d472186cb02314a8b.png)
(2)若此正四面体的边长为4,记异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4591ebcf64a2ab55da4249c278d60084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aefd06c239145a2b6ae87a955aa51414.png)
您最近一年使用:0次
解题方法
4 . 如图
为正方体,下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
A.三棱锥![]() |
B.![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次
5 . 如图所示,圆锥的侧面积是底面积的2倍,线段
为圆锥底面
的直径,在底面内以线段
为直径作
,点
为
上异于点
的动点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/c4d207af-88a2-49bb-ba8d-c509c87d5dfa.png?resizew=175)
(1)证明:平面
平面
;
(2)已知
,当三棱锥
的体积最大时,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fef27cb7cb1b666c1734c65a7aa9aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4411b37e8ed03b1841906af3bf912f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/c4d207af-88a2-49bb-ba8d-c509c87d5dfa.png?resizew=175)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c471d86d6c1c31f0466c5934ca58070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2b5f083dd0e4ff840eb8be0ea0087f6.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308ad15630a0d58be043375239f4073f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a5b827a4df552ef718b5b772fa2b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b74a32c8ccd8a3632c8d79e5eb51cc.png)
您最近一年使用:0次
2020-08-19更新
|
140次组卷
|
4卷引用:辽宁省锦州市黑山县黑山中学2020届高三下学期考前模拟训练数学(文)试题
辽宁省锦州市黑山县黑山中学2020届高三下学期考前模拟训练数学(文)试题辽宁省实验中学2020届高三下学期学期第下学期五次模拟考试数学文科试卷普通高等学校招生国统一考试2020-2021学年高三上学期 数学(文)考向卷(八)(已下线)专题20 立体几何综合-2020年高考数学(文)母题题源解密(全国Ⅱ专版)
名校
6 . 已知
为空间中的一条直线,
为空间中的一个平面,且
,垂足为点
.等腰直角三角形
中,
,
,若
,则
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e380108ba2cf04e68a5a9393d2b921c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635c0e8cd497fd3d766fede583f2e320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b299e0821bdf2b7aef57f9e82aa46f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
您最近一年使用:0次
2020-07-23更新
|
615次组卷
|
2卷引用:辽宁省锦州市黑山县黑山中学2020届高三下学期考前模拟训练数学(理)试题
名校
解题方法
7 . 如图所示是某多面体的三视图,左上为主视图,右上为左视图,左下为俯视图,且图中小方格单位长度为1,则该多面体的体积为( )
![](https://img.xkw.com/dksih/QBM/2020/7/22/2511294402052096/2512034127388672/STEM/558a2b6b-2bdd-4ce2-bf5e-07538ee68e6f.png)
![](https://img.xkw.com/dksih/QBM/2020/7/22/2511294402052096/2512034127388672/STEM/558a2b6b-2bdd-4ce2-bf5e-07538ee68e6f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-07-23更新
|
519次组卷
|
5卷引用:辽宁省锦州市黑山县黑山中学2020届高三下学期考前模拟训练数学(文)试题
8 . 设球
的半径为1,
,
,
是球面上三点,已知
到
,
两点的球面距离都是
,且平面
平面
,则从
点沿球面经
,
两点再回到
点的最短距离是( )
![](https://img.xkw.com/dksih/QBM/2020/7/7/2500833823727616/2501430547906560/STEM/437195a3-62a0-4fbb-b9d8-12311fab02d2.png?resizew=236)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b199d124fb9a5bc8438c9884f04534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3f00b2d5861fad8322e9b698083de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa16146cb21f11693feffb0876c0795b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/2020/7/7/2500833823727616/2501430547906560/STEM/437195a3-62a0-4fbb-b9d8-12311fab02d2.png?resizew=236)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 设
,
,
为两两不重合的平面,
,
,
为两两不重合的直线,给出下列四个命题:
①若
,
,则
;
②若
,
,
,
,则
;
③若
,
,则
;
④若
,
,
,
,则
.
其中真命题是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f435efcc7869eec21bdba1ed81dc3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35a45cfcdfbda18b089ce6698ccdbcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b82e5d28e2e5a4790e94db2daa6a07c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539a38ada26356d73024fb8533449c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a042a14e1c3c915ad11544c9e1e57da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc01d7aa51bf4f95c4b12ae9dcb7eb4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d6ca6fed060a95127579051f7a6b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1754786a3367aca3da18ee3316e5b968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e780bef5816b53749e73f56d7f3979c9.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b707f5ee4fbb2e637c65fbc6d8ed03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef8b6e6c2300aef5451e7a407f187d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683e9afa84d954fb3dbd299424db1fd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29467f57beef2c79b61099c7edede4af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80645381feb9746cc149da61d553974a.png)
其中真命题是( )
A.①③ | B.②④ | C.③④ | D.①② |
您最近一年使用:0次
2020-07-14更新
|
1025次组卷
|
3卷引用:辽宁省锦州市黑山县黑山中学2020届高三6月模拟考试数学(文)试题