解题方法
1 . 已知直线m,n与平面
,
、
,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/9f435efcc7869eec21bdba1ed81dc3f5.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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2024-03-03更新
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956次组卷
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3卷引用:四川省巴中市普通高中2024届高三“一诊”考试理科数学试题
23-24高三上·四川成都·期末
名校
2 . 如图所示的几何体是由正方形
沿直线
旋转
得到的,设
是圆弧
的中点,
是圆弧
上的动点(含端点),则下列结论不正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/96e04b81-8576-4f01-bd73-2a68a34cdb85.png?resizew=148)
![](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/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8192018a58bb1fe23769a48a4d9042ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdb53e0fdf3ebeb96e4f69feacbd80e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/96e04b81-8576-4f01-bd73-2a68a34cdb85.png?resizew=148)
A.存在点![]() ![]() |
B.存在点![]() ![]() |
C.存在点![]() ![]() ![]() |
D.存在点![]() ![]() ![]() ![]() |
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解题方法
3 . 如图,在四棱锥
中,底面
是正方形,侧棱
底面
分别是
中点.
与平面
的位置关系;
(2)若
与平面
所成角为
,求
到平面
的距离.
![](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/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69fe26ce3e895dd5629647e1b3a1630.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/465799145108e10f22d433603f1e34ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7d8c07bb0876c1e3eec161968f3d88.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25701ec455722f16e78a2ca39a52a83d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7d8c07bb0876c1e3eec161968f3d88.png)
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4 . 如图,在四棱锥
中,底面
是正方形,侧棱
底面
,E、F分别是PC、AD中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/6d77f84e-71b0-41fd-8cc6-c2a7e4c06044.png?resizew=126)
(1)判断直线DE与平面
的位置关系;
(2)若PB与平面
所成角为
,求平面
与平面
所成二面角大小的正弦值.
![](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/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/6d77f84e-71b0-41fd-8cc6-c2a7e4c06044.png?resizew=126)
(1)判断直线DE与平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7d8c07bb0876c1e3eec161968f3d88.png)
(2)若PB与平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7d8c07bb0876c1e3eec161968f3d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466fabcaac59132fea648ff35342ec9d.png)
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解题方法
5 . 如图,棱长为2的正方体
中,点P在线段
上运动,以下四个命题:①三棱锥
的体积为定值;②
;③若
,则三棱锥
的外接球半径为
;④
的最小值为
.其中真命题有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/1e2bf855-36cb-411e-83f0-a96d5556cab4.png?resizew=160)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a80afb14665ad9cb3587c5364980e30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/763be97fe1e030b5509bda231a546001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c83728b4b91893fa14e7b84dcc3d1f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8571fe486121ccf36f6be04dbb2295c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e102741bc350e8ccbc6d1405b44972d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed728f911042364c77b78b597aafd344.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/1e2bf855-36cb-411e-83f0-a96d5556cab4.png?resizew=160)
A.①②③ | B.①②④ | C.①②③④ | D.③④ |
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2023-12-14更新
|
503次组卷
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3卷引用:四川省成都市石室中学2024届高三一模数学(理)试题
解题方法
6 . 已知直线和平面
,有如下四个命题,其中真命题的个数是( )
①若,则
; ②若
,
,则
;
③若,则
; ④若
,则
.
A.1 | B.2 | C.3 | D.4 |
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2023-12-12更新
|
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4卷引用:四川省雅安市天立高级中学2024届高三一诊模拟数学(文)试题
四川省雅安市天立高级中学2024届高三一诊模拟数学(文)试题四川省雅安市天立高级中学2024届高三一诊模拟数学(理)试题(已下线)模块一 专题1 立体几何(1)高三期末(已下线)8.6.3平面与平面垂直 (第2课时) -【上好课】(人教A版2019必修第二册)
7 . 下列命题中一定正确的是( ).
A.如果平面![]() ![]() ![]() ![]() |
B.如果平面![]() ![]() ![]() ![]() ![]() |
C.如果平面![]() ![]() ![]() ![]() |
D.如果直线![]() ![]() ![]() ![]() ![]() ![]() |
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2023-11-30更新
|
771次组卷
|
3卷引用:四川省成都市石室中学2023-2024学年高三上学期期中考试理科数学试卷
名校
解题方法
8 . 如图,在正方体
中,
、
、
、
分别是棱
、
、
、
的中点,则下列结论中正确的有________ .
①
平面
②
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657dffbd3623b705f871878fbd9df57e.png)
③
、
、
、
四点共面 ④
、
、
、
四点共面
![](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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/1/c52f37a0-b2bb-47f8-8823-fc343da9abad.png?resizew=157)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcafa398cc6b6079883e7ad153eb62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657dffbd3623b705f871878fbd9df57e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331da51a299acaaafa61551d0ebd3e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657dffbd3623b705f871878fbd9df57e.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
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9 . 如图,已知在棱长为2的正方体
中,点E,F,H分别是
,
,
的中点,点G是
上的动点,下列结论中正确的有________________ .
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/30/cf1e3d64-9f44-4305-9b4d-4d194ea209e0.png?resizew=138)
①
平面ABH ②
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319ad7c7bdb5c5cfa477eb4f5ea57d2b.png)
③直线EF与
所成的角为
④三棱锥
的体积最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/30/cf1e3d64-9f44-4305-9b4d-4d194ea209e0.png?resizew=138)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cae8fd28341fc24851e03e9ba1d4e09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d1d2e0f281222a5f289ea4008370aed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/319ad7c7bdb5c5cfa477eb4f5ea57d2b.png)
③直线EF与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996bf3d35b6763cbc1a423b13a9df2dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50c9299f4c44108e7808d6270fe6f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a391005600bdd69c96750589f9adb048.png)
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解题方法
10 . 在正方体
中,
分别为棱
的中点,动点
平面
,
,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9369aed2d8309af46ac3eaffb9cce537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4bfd2a6c1bf263eefc576da2d410523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a4e29c79fa939465f39b5f6ed029a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52173c8cc44246823c2bee21a783b731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7916c495542a333144c742ff59011c0.png)
A.![]() ![]() | B.直线![]() ![]() |
C.正方体被平面![]() | D.点![]() ![]() |
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2023-06-28更新
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1130次组卷
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6卷引用:四川省成都石室中学2024届高三零诊模拟考试理科数学试题
四川省成都石室中学2024届高三零诊模拟考试理科数学试题四川省成都石室中学2024届高三零诊模拟考试文科数学试题(已下线)第三章 空间轨迹问题 专题四 立体几何轨迹面积、体积问题 微点2 立体几何轨迹面积、体积问题综合训练【培优版】(已下线)专题2 组合体问题【讲】(压轴大全)广东省阳江市2022-2023学年高二下学期期末数学试题(已下线)高二上学期第一次月考选择题压轴题50题专练-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)