名校
1 . 已知正四棱锥
的所有棱长均为
,E,F分别是PC,AB的中点,M为棱PB上异于P,B的一动点,则以下结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
A.直线![]() |
B.异面直线EF、PD所成角的大小为![]() |
C.直线EF与平面ABCD所成角的正弦值为![]() |
D.存在点M使得![]() |
您最近一年使用:0次
2023-08-09更新
|
420次组卷
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3卷引用:广东省云浮市黄岗实验中学2022-2023学年高一下学期5月月考数学试题
解题方法
2 . 在正方体
中,
为棱
的中点,
在侧面
上运动,且
,已知正方体的棱长为2,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a58ae9d6050e62173f72f1b7fcb39f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/16/6fb86561-1997-453c-b12b-4c40c6adc961.png?resizew=157)
A.![]() ![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.当![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
3 . 如图,已知圆柱母线长为
,底面圆半径为
,梯形
内接于下底面,
是直径,
//
,
,点
在上底面的射影分别为
,
,
,
,点
分别是线段
,
上的动点,点Q为上底面圆内(含边界)任意一点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/31/98aa4952-9475-4ca2-9c91-f97436f7b943.png?resizew=166)
A.若面![]() ![]() ![]() ![]() ![]() |
B.若面![]() ![]() ![]() |
C.![]() |
D.当点Q在上底面圆周上运动时,记直线![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2023-05-29更新
|
796次组卷
|
3卷引用:山东省淄博市2023届高三三模数学试题
解题方法
4 . 如图,在棱长为2的正方体
中,点
满足
,
,其中
,在下列说法中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/23/23ce23a8-7ab4-4db3-8cd2-efc5abbcf118.png?resizew=181)
①存在
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d43d720bda8eecbab00e2f3db19803.png)
②存在
,使得
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b36a70bc52a720ba8750aee4924307.png)
③当
时,
取最小值
④当
时,存在
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb943b2fe2f7a3069669108950c3e889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3d942e96f32f628447ab5f8fec0e24d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4514f4b4d139023fc10b91b02ca07b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf89344ded4d4ebb94edf2b8d42ed8dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/23/23ce23a8-7ab4-4db3-8cd2-efc5abbcf118.png?resizew=181)
①存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf89344ded4d4ebb94edf2b8d42ed8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d43d720bda8eecbab00e2f3db19803.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf89344ded4d4ebb94edf2b8d42ed8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93cf663ee2bf1ac5c43f4306fa0cf250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b36a70bc52a720ba8750aee4924307.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3e3a793d8df4deb46f456cda72b4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76819195cffab10d81638dd673f3af98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb6bf23a5a12e1ba5413594d7b1a57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb943b2fe2f7a3069669108950c3e889.png)
A.①② | B.②③ | C.③④ | D.②④ |
您最近一年使用:0次
名校
解题方法
5 . 如图,在棱长为
的正方体
中,点
满足
,其中
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb45519607ebef21cde7685a2015ffe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf89344ded4d4ebb94edf2b8d42ed8dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/29/d66ccf35-b922-4636-9970-bdafadf54b4d.png?resizew=167)
A.存在![]() ![]() |
B.存在![]() ![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
2023-04-21更新
|
1221次组卷
|
3卷引用:河北省石家庄市部分学校2023届高三联考(二)数学试题
名校
解题方法
6 . 如图,四边形ABCD是边长为1的正方形,
平面ABCD,
平面ABCD,且
,点G为MC的中点.则下列结论中不 正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/79788e26-1aaa-4280-b080-4ac155b6acd0.png?resizew=179)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb92a5e7dc942c44d0f6d7f3906ff804.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c611de332ba0c529d633a6cfe5240d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5254a8bb97154dc16c9435ef00ff5818.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/79788e26-1aaa-4280-b080-4ac155b6acd0.png?resizew=179)
A.![]() | B.平面![]() |
C.直线GB与AM是异面直线 | D.直线GB与平面AMD无公共点 |
您最近一年使用:0次
2023-02-21更新
|
1388次组卷
|
5卷引用:上海市黄浦区2023届高三上学期一模数学试题
名校
7 . 如图,在棱长为2的正方体
中,
是线段
的中点,点
满足
,
,其中
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/a1718ec9-0874-4763-bc40-ea524c4e8487.png?resizew=195)
![](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/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6700ce265caf45dc87255e889f8a09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493fb0172651746ab7b0cbb979da96cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf89344ded4d4ebb94edf2b8d42ed8dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/23/a1718ec9-0874-4763-bc40-ea524c4e8487.png?resizew=195)
A.存在![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() ![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
2023-02-19更新
|
682次组卷
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3卷引用:湖南省衡阳市衡山县德华盛星源高中2022-2023学年高二上学期期末数学试题
湖南省衡阳市衡山县德华盛星源高中2022-2023学年高二上学期期末数学试题湖南省株洲市第二中学2022-2023学年高二下学期第一次月考数学试题(已下线)江苏省苏锡常镇四市2023届高三下学期3月教学情况调研(一)数学试题变式题11-16
名校
8 . 如图,在长方体
中,
,M,N分别为棱
的中点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c805a619566a37180f6f4281c395e415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b3da308c73188350fb0f836952beea.png)
A.M,N,A,B四点共面 | B.直线![]() ![]() |
C.直线![]() ![]() ![]() | D.平面![]() ![]() |
您最近一年使用:0次
2022-11-24更新
|
1597次组卷
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7卷引用:山东省青岛市莱西市2022-2023学年高三上学期期中数学试题
山东省青岛市莱西市2022-2023学年高三上学期期中数学试题江西省临川第二中学2022-2023学年高二上学期第三次月考数学试题第8章 立体几何初步 章末测试(提升)-2022-2023学年高一数学一隅三反系列(人教A版2019必修第二册)(已下线)专题8.18 立体几何初步全章综合测试卷(提高篇)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)山西省运城市景胜中学2022-2023学年高一下学期5月月考数学试题(A卷)重庆市荣昌仁义中学校2023-2024学年高一下学期6月月考数学试题河南省许昌市许昌高级中学2023-2024学年高一下学期6月月考数学试题
名校
解题方法
9 . 在正方体
中,M是
的中点,点N在该正方体的棱上运动,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
A.当N为棱![]() ![]() |
B.当N为棱![]() ![]() |
C.有且仅有三个点N,使得![]() ![]() |
D.有且仅有四个点N,使得MN与![]() |
您最近一年使用:0次
2022-07-07更新
|
737次组卷
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5卷引用:广东省佛山市2021-2022学年高一下学期期末数学试题
广东省佛山市2021-2022学年高一下学期期末数学试题(已下线)突破1.4 空间向量的应用(课时训练)江苏省南通市2022-2023学年高一下学期期末模拟数学试题(已下线)模块三 专题3 小题满分挑战练( 2)(苏教版高二)广东省揭阳市普宁二中实验学校2022-2023学年高一下学期期末考试数学试卷
名校
10 . 设棱长为2的正方体
,
是
中点,点
、
分别是棱
、
上的动点,给出以下四个结论:
①存在
;
②存在
平面
;
③存在无数个等腰三角形
;
④三棱锥
的体积的取值范围是
.
则所有结论正确的序号是______ .
![](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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
①存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d2909b0333b9b28c081c68cde04f96.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93cf663ee2bf1ac5c43f4306fa0cf250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590d2b3c62a9c24be67a0bc8a8f6c057.png)
③存在无数个等腰三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868a98a5d6337c3dd9bca228e3545665.png)
④三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c68898e115b33957e49efdae523cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e612714cb045799fb2abc4a98ec10e.png)
则所有结论正确的序号是
您最近一年使用:0次
2022-03-10更新
|
1523次组卷
|
5卷引用:北京平谷区2022届高三零模数学试题
北京平谷区2022届高三零模数学试题北京市第一六一中学2022届高三考前热身训练数学试题(已下线)数学-2022年高考押题预测卷01(北京卷)北京市清华附中2023届高三下学期3月调研数学试题(已下线)专题01 空间向量与立体几何(6)