1 . 在棱长为1的正方体
中,若
分别为
的中点,则空间四边形
在正方体下底面
上的射影面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/10/56357c11-8f9e-46df-b1bc-6235e521f570.png?resizew=175)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b199a99e53d67ff4abf233930961a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505b87023f077e7c4abed1597a8ee8c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23f409a021fd4ea55574f21ee37f7f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/10/56357c11-8f9e-46df-b1bc-6235e521f570.png?resizew=175)
A.1![]() | B.![]() | C.![]() | D.![]() |
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2 . 如图,正四面体
的顶点
,
,
分别在两两垂直的三角射线
,
,
上,则在下列命题中,错误 的为.
![](https://img.xkw.com/dksih/QBM/2018/6/25/1975123304800256/1977767461675008/STEM/17b6de1d82b54686b2260f342e53cc04.png?resizew=134)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b14069d21d32c724f0ebe3e311f114c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5615812990deef255366042987977c58.png)
![](https://img.xkw.com/dksih/QBM/2018/6/25/1975123304800256/1977767461675008/STEM/17b6de1d82b54686b2260f342e53cc04.png?resizew=134)
A.![]() | B.![]() |
C.直线![]() ![]() ![]() | D.直线![]() ![]() |
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3 . 一个圆柱的母线长为5,底面半径为2,则圆柱的轴截面的面积是
A.10 | B.20 | C.30 | D.40 |
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2018-06-14更新
|
1125次组卷
|
3卷引用:北京师范大学附中2018-2019学年高一(国际班)下学期期末考试数学试题
名校
解题方法
4 . 设
为一个正方体表面上的两点,已知此正方形绕着直线
旋转
角后能与自身重合,那么符合条件的直线
的条数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864084876afbea5004d08221acb7187e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
A.3 | B.4 | C.7 | D.13 |
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解题方法
5 . 如图所示,正方体
的棱长为
,
,
分别是棱
,
的中点,过直线
,
的平面分别与棱
,
交于
,
,设
,
,给出以下四个命题:
![](https://img.xkw.com/dksih/QBM/2018/3/29/1912173798842368/1913162833928192/STEM/18296131-62c1-42a7-908e-29b55eccad57.png?resizew=189)
①四边形
为平行四边形;
②若四边形
面积
,
,则
有最小值;
③若四棱锥
的体积
,
,则
是常函数;
④若多面体
的体积
,
,则
为单调函数.
其中假命题 为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.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/6024fd4532f5f981deac4582c799a6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ecac2dad4cffdd971fd23deacff3fc.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/6655cc150ddc9deba2254780984d0024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b25f3ea33cc08b1e2a0d9c3a9dccaf.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/91f2a9b923a355694ea487f6c5669a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7b69e93488fcd2a195cb9793e94fc7.png)
![](https://img.xkw.com/dksih/QBM/2018/3/29/1912173798842368/1913162833928192/STEM/18296131-62c1-42a7-908e-29b55eccad57.png?resizew=189)
①四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e92eac740953aa383be636ea90fd47.png)
②若四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e92eac740953aa383be636ea90fd47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f56fa5f9c9f324859bde42ee3ca620db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7b69e93488fcd2a195cb9793e94fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③若四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b941daa059b04aab552429ae22a1661d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e61eac79ec7913fc950226db18915308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7b69e93488fcd2a195cb9793e94fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c97d54952104950bfd7afc0176bbd0.png)
④若多面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d806315045c99f270687030c61cd8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b11baa5184a3f07f167cc328f1abf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/138b894d5a841b576066d8fa3910c844.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
其中
A.① | B.② | C.③ | D.④ |
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2018-03-30更新
|
582次组卷
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2卷引用:北京医学院附属中学2020-2021高二上学期期末试题
解题方法
6 . 将圆绕直线
旋转一周所得的几何体的表面积为( )
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 若圆柱的轴截面是一个正方形,其面积为
,则它的一个底面面积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6902dfe811d8f86fc095ce049cfa4dbb.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2017-12-04更新
|
463次组卷
|
4卷引用:北京市大兴区北京亦庄实验中学2022-2023学年高一下学期第4学段教与学质量诊断(期末)数学试题
(已下线)北京市大兴区北京亦庄实验中学2022-2023学年高一下学期第4学段教与学质量诊断(期末)数学试题【全国百强校】北京师大附中2018-2019学年下学期高一年级期中考试数学试题人教A版高中数学必修二 1.1.1圆柱、圆锥、圆台、球的结构特征2陕西省西安工业大学附属中学2022-2023学年高一下学期期中数学试题
2016高一·全国·课后作业
8 . 如图(1)所示的几何体是由下图中的哪个平面图形旋转后得到的( )
A.![]() | B.![]() | C.![]() | D.![]() |
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|
970次组卷
|
5卷引用:北京市昌平临川育人学校2017-2018学年高一下学期期末数学试题
9 . 如图,在正方体
中,点
在正方体表面运动,如果
,那么这样的点
共有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/18/3f71ab7f-a3e1-4b39-a422-4dea9ec36fb4.png?resizew=212)
![](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/626061e057eeffd57f94cf6f3960c96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/18/3f71ab7f-a3e1-4b39-a422-4dea9ec36fb4.png?resizew=212)
A.2个 |
B.4个 |
C.6个 |
D.无数个 |
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10 . 在长方体
中,
,
,
,
,
分别为棱
,
的中点. 则从点
出发,沿长方体表面到达点
的最短路径的长度为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8456cee87c4e22351affc28f3a73a0f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2016-12-04更新
|
421次组卷
|
3卷引用:2015-2016学年北京市西城区高二上学期期末考试文科数学试卷