名校
解题方法
1 . 如图,菱形
的对角线
与
交于点
,
是
的中位线,
与
交于点
,已知
是
绕
旋转过程中的一个图形﹐且
平面
.给出下列结论:
平面
;
②平面
平面
;
③“直线
直线
”始终不成立.
其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.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/91b51d3992644d37dc71c9b5a97d515c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff39c7aa648afd1080206c8080ff79e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6c72495428bbbd12cad3271b0654ee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/debdc6632a4877e5131d3da25cda8b89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d246f9eceab371ebf47a47c2f11a4ad.png)
②平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
③“直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce49710609f7bffc36441dc5c2f7c2ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
其中所有正确结论的序号为( )
A.①②③ | B.①② | C.①③ | D.②③ |
您最近一年使用:0次
2024-03-27更新
|
843次组卷
|
9卷引用:四川省广安市2024届高三第二次诊断性考试数学(文)试题
四川省广安市2024届高三第二次诊断性考试数学(文)试题2024届四川省遂宁市等3地高三二模文科数学试题四川省雅安市2024届高三下学期二诊数学(文)试题河南省南阳市西峡县第一高级中学2023-2024学年高二下学期第一次月考数学试卷四川省乐山市2024届高三第二次调查研究考试文科数学试题(已下线)专题20 空间直线、平面的垂直-《重难点题型·高分突破》(人教A版2019必修第二册)(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2024届宁夏回族自治区银川一中高考三模理科数学试题(已下线)6.5.2平面与平面垂直-【帮课堂】(北师大版2019必修第二册)
解题方法
2 . 如图,在棱长为1的正方体
中,点
是该正方体对角线
上的动点,给出下列三个结论:
①
;
②点
到直线
的距离的最小值是
;
③当
时,三棱锥
外接球的表面积为
.
其中所有正确结论的序号为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/a84534c4-5ab3-4a01-b96e-d32eee2cea2b.png?resizew=165)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604cba0e6356976f9da6a07cb01b3397.png)
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f1145c162038df3c7184d9201c628e.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de819625a4637c8e10b2975010f2840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfe0ccf24d760c77535a70c92dad145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09cff066313be6f7c0ca8500ac78cbfb.png)
其中所有正确结论的序号为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/a84534c4-5ab3-4a01-b96e-d32eee2cea2b.png?resizew=165)
A.①② | B.①③ | C.②③ | D.①②③ |
您最近一年使用:0次
3 . 如图所示的菱形
中,
对角线
交于点
,将
沿
折到
位置,使平面
平面
.以下命题:
①
;
②平面
平面
;
③平面
平面
;
④三棱锥
体积为
.
其中正确命题序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e4b6f03fa7c782408bb6fabb57c1576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ea25ef38e4afa8f75ffd0842890289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fe052786101dfcc941480919eb2cecc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/22/70dc5fdb-9d52-4f09-87d1-32477e72c148.png?resizew=342)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c83a968964b21bd831d75905ca1e487.png)
②平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0cf578c7ba542ff9946ad172f896dfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
③平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d138354c4e021ac8ae2a2fb176ca14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1530d93834fbafba5f7217778ea90442.png)
④三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb4c6e9a723aa843e6ba62d7c1a3a6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
其中正确命题序号为( )
A.①②③ | B.②③ | C.③④ | D.①②④ |
您最近一年使用:0次
2023-05-19更新
|
1227次组卷
|
6卷引用:陕西省咸阳市2023届高考模拟理科数学试题
陕西省咸阳市2023届高考模拟理科数学试题陕西省咸阳市2023届高考模拟文科数学试题山西省太原师范学院附属中学、太原市师苑中学校2022-2023学年高一下学期5月月考数学试题江西省南昌市铁路第一中学2023-2024学年高二上学期10月月考数学试题(已下线)第04讲 直线、平面垂直的判定与性质(五大题型)(讲义)(已下线)第一章 点线面位置关系 专题二 空间垂直关系的判定与证明 微点5 平面与平面垂直的判定与证明【基础版】
解题方法
4 . 如图,在棱长为2的正方体
中,点M在线段
(不包含端点)上运动,则下列4个命题中所有正确命题的序号为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/14/d650b741-bd5e-4d45-8d28-b0924590a947.png?resizew=167)
①异面直线
与
所成角的取值范围是
;
②
;
③三棱锥
的体积为定值
;
④
的最小值为
.
![](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/2022/7/14/d650b741-bd5e-4d45-8d28-b0924590a947.png?resizew=167)
①异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9399c9a2a31b0e3165aea2d6ccc4f7c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc08d14fe6bc48674b8c3b2d464fc88.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ba3d4adb389c1d4ae5b742372440d5.png)
③三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6557d0725272b008c5969c0a203aa10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82aeb9ae6660cf9bd7b2f57ff4a47ef4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfba144ad36e04d7032e30b08413cda3.png)
A.②④ | B.①④ | C.②③④ | D.①③ |
您最近一年使用:0次
名校
解题方法
5 .
是两个不同的平面,
是两条不同的直线,有下列四个命题:
①如果
,那么
;
②如果
,那么
;
③如果
,
,那么
;
④如果
内有不共线的三个点到
的距离相等,那么
.
其中正确命题的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474929dd8e89d9ce37448ae72b48d04f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16aa323ccb28eaa626ec7e5020a9ef82.png)
①如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e39e7026b2082c6a3acbf0496e238d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d6ca6fed060a95127579051f7a6b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
②如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173955b6903feb4d50c72bd9777be967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
③如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/539a38ada26356d73024fb8533449c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc01d7aa51bf4f95c4b12ae9dcb7eb4c.png)
④如果
![](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/384a65ca1ee3d7d86b988ca34c885e18.png)
其中正确命题的序号为( )
A.②③ | B.①④ | C.①②③ | D.①②④ |
您最近一年使用:0次
2018-05-14更新
|
713次组卷
|
2卷引用:【全国百强校】天津市静海县第一中学2017-2018学年高一下学期期中考试数学试题