名校
解题方法
1 . 如图,点
为正方形
边
上异于点
的动点,将
沿
翻折,得到如图所示的四棱锥
,且平面
平面
,点
为线段
上异于点
的动点,则在四棱锥
中,下列说法:
①直线
与直线
必不在同一平面上;
②存在点
使得直线
平面
;
③存在点
使得直线
与平面
平行;
④存在点
使得直线
与直线
垂直.
以上叙述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da6b93dbe5272a5167ff4e2918bec864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99be23ddbd80e2c75649e3d1f8594130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036a0d3b3c70d41060bc441ddd8003fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bfad3f7e65188bcf7f62ea5acdbf4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f90eb172dbd2ff7ae6f705801c0737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99be23ddbd80e2c75649e3d1f8594130.png)
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
②存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662698361c6b3ddaf0c28a3c87be53e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422210c777ac0d625bbd81cc7601bf9b.png)
③存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23ba3f676fda6a2aaaa55c9f32874a51.png)
④存在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
以上叙述正确的是( )
A.①② | B.①③ | C.①④ | D.③④ |
您最近一年使用:0次
解题方法
2 . 已知某几何体的三视图如下所示,现有如下说法:
![](https://img.xkw.com/dksih/QBM/2021/5/25/2728772013023232/2731982409433088/STEM/71d449dd-daf1-4956-bb1e-ee3d1c4bd6c2.png?resizew=241)
①该几何体的最长棱长为
;
②该几何体的体积为2;
③该几何体的表面积为
,
则其中所有正确说法的序号是( )
![](https://img.xkw.com/dksih/QBM/2021/5/25/2728772013023232/2731982409433088/STEM/71d449dd-daf1-4956-bb1e-ee3d1c4bd6c2.png?resizew=241)
①该几何体的最长棱长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
②该几何体的体积为2;
③该几何体的表面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f77350083606561739c277fffe9eb6.png)
则其中所有正确说法的序号是( )
A.③ | B.①② | C.①③ | D.①②③ |
您最近一年使用:0次
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3 . 有一个四锥形铅垂,其底面直径为10cm,母线长为15cm.P是铅垂底面圆周上一点,则关于下列命题:①铅垂的侧面积为
;②一只蚂蚁从P点出发沿铅垂侧面爬行一周、最终又回到P点的最短路径的长度为
cm,其中正确的判断是( )
![](https://img.xkw.com/dksih/QBM/2022/4/15/2958919622688768/2961645715333120/STEM/adbbcda2-d50a-4d11-b26e-ae200352c36f.png?resizew=129)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f0a3df0d2d0e5bb4f1811ff61ca3813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14fc6d812e0f2a7ff2b7bb4f4c92369d.png)
![](https://img.xkw.com/dksih/QBM/2022/4/15/2958919622688768/2961645715333120/STEM/adbbcda2-d50a-4d11-b26e-ae200352c36f.png?resizew=129)
A.①②都正确 | B.①错误、②正确 |
C.①正确、②错误 | D.①②都错误 |
您最近一年使用:0次
2022-04-19更新
|
597次组卷
|
2卷引用:河南省郑州市十校2021-2022学年高一下学期期中联考数学试题
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4 . 如图,棱长为2的正方体
中,P、Q分别是面对角线
与BD上的动点,且
,给出下列两个判断:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/fe8a16dc-b5f2-4e71-9700-68a0066edf69.png?resizew=164)
(1)PQ和
始终是异面直线;
(2)PQ长的最小值是
;
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/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7b64a0de3cbdfe5d348041d27e1179.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/fe8a16dc-b5f2-4e71-9700-68a0066edf69.png?resizew=164)
(1)PQ和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
(2)PQ长的最小值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18483c9c195ecd922772527fa85c0fcb.png)
则下列说法正确的是( )
A.(1)正确,(2)错误 | B.(1)错误,(2)正确 |
C.(1)正确,(2)正确 | D.(1)错误,(2)错误 |
您最近一年使用:0次