名校
解题方法
1 . 已知
和
都是直角三角形,
,E,F分别是边AB,AD的中点,现将
沿BD边折起到
的位置,如图所示,使平面
平面BCD.
平面BCD;
(2)求证:平面
平面
;
(3)请你判断,
与BD是否有可能垂直,做出判断并写明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ff103699fefbd87327b26b58fafd42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c967c9b3f669ea78edd838e1d8b59e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0fbd88fdb064072eedd136e9cb41ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f9d682e5d3cc8573574d8d11636758.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21dee56b9f36ba8f76fe67b76383636b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74bca84ad86c648d3bb20c8909c8da3f.png)
(3)请你判断,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
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2 . 设m,n是两条不同的直线,
,
是两个不同的平面,给出下列四个命题:
①若
,
,则
;
②若
,
,则
;
③若
,
,
,则
;
④若
,
,
,
,
,则
.
其中所有真命题的序号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe920cd78db25f5b4df37d066e57800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0d37b44de48de51555fa95d94e33f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80645381feb9746cc149da61d553974a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0d37b44de48de51555fa95d94e33f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a4c549e7ea8776ec821c467bc1a913.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80645381feb9746cc149da61d553974a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53cd751c44ad4d9ebd8e3243e751321.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a4c549e7ea8776ec821c467bc1a913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5986f2991d45fbf3578f08f27d9fd7e.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab4256b2397c28db450a154d3d2a021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6a4c549e7ea8776ec821c467bc1a913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc01d7aa51bf4f95c4b12ae9dcb7eb4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df0d37b44de48de51555fa95d94e33f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d6ca6fed060a95127579051f7a6b79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384a65ca1ee3d7d86b988ca34c885e18.png)
其中所有真命题的序号是( )
A.①②③ | B.②③④ | C.①②③④ | D.①③④ |
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名校
解题方法
3 . 在正方体
中,下列选项中,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
A.![]() | B.![]() ![]() ![]() |
C.二面角 ![]() ![]() | D.![]() ![]() ![]() |
您最近一年使用:0次
4 . 已知
是两条不同的直线,
是两个不同的平面,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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5 . 如图,在正方体
中,求证:
平面
.
(2)平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d2d64b329816072434bd1121b4dc0c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86eec8526479272d15bb3b171a46de0.png)
(2)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba0fbd88fdb064072eedd136e9cb41ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
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名校
解题方法
6 . 在直三棱柱
中,所有棱长均相等,则二面角
的正切值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32bbdf5dbf9df96742624ada95c36146.png)
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11-12高三上·上海·期末
名校
7 . 已知
、
是两条不同的直线,
、
、
是三个不同的平面,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](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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12卷引用:2011届上海市闸北区高三第一学期期末数学理卷
(已下线)2011届上海市闸北区高三第一学期期末数学理卷人教A版高中数学必修二第二章 章末检测卷2018年高考数学理科训练试题:专题(29) 直线与平面的平行与垂直【校级联考】天津市七校(静海一中,杨村中学,宝坻一中,大港一中等)2019届高三上学期期中联考数学(文)试题智能测评与辅导[理]-空间中的点、直线、平面的位置关系和球山西省吕梁市2020-2021学年高二上学期期末数学(文)试题山西省吕梁市2020-2021学年高二上学期期末数学(理)试题山西省运城市景胜中学2021-2022学年高二上学期第二次月考数学(理)试题山西省运城市景胜中学2021-2022学年高二上学期第二次月考数学(文)试题天津市和平区部分校2021-2022学年高一下学期期末数学试题天津市双菱中学2023-2024学年高一下学期第二次月考数学试题(已下线)专题07 立体几何小题常考题型归类-期末考点大串讲(人教B版2019必修第四册)
名校
解题方法
8 . 一个直角梯形上底、下底分别为
和
,将此直角梯形以垂宜于底的腰为轴旋转周形成一个圆台,此圆台外接球的半径为
,则这个圆台的高为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32d8c72088c5ebef12ba11a92d6d1ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdf8111bf36bfb6420a734cc51560e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9938aea41f03701b233dee15809f2126.png)
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名校
解题方法
9 . 已知m,n,l是三条不同的直线,
是两个不同的平面,
∥
,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9f808eebe04dad32805508de98c284.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() ![]() | B.![]() ![]() | C.![]() | D.![]() |
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7日内更新
|
176次组卷
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4卷引用:山西省忻州市2023-2024学年高一下学期5月月考数学试题