名校
1 . 如图,在棱长为1的正方体
中,点E、F、G分别为棱
、
、
的中点,P是底面ABCD上的一点,若
平面GEF,则下面的4个判断
的线段;
②线段
的最小值为
;
③
;
④
与
一定异面.
其中正确判断的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbafedc202bd0d86c4dfdece9f8f4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1188d485929a484c4446662cb95e2fad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
②线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f8f7e40ba386c0a9675896b52752d6.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fca83fd3fb6a47ce5abc2a7bc467e9.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0ff310aabd2282b539537ebed3f788.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
其中正确判断的序号为
您最近一年使用:0次
2022-04-10更新
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799次组卷
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4卷引用:黑龙江省鹤岗市第一中学2021-2022学年高一下学期期中考试数学试题
黑龙江省鹤岗市第一中学2021-2022学年高一下学期期中考试数学试题内蒙古呼和浩特市2022届高三第一次质量数据监测文科数学试题(已下线)第12练 空间直线、平面的垂直-2022年【暑假分层作业】高一数学(人教A版2019必修第二册)(已下线)重难点专题11 轻松搞定立体几何的轨迹问题-【帮课堂】(苏教版2019必修第二册)
名校
2 . 如图正方体
的棱长为
,
、
、
,分别为
、
、
的中点.则下列命题:①直线
与平面
平行;②直线
与直线
垂直;③平面
截正方体所得的截面面积为
;④点
与点
到平面
的距离相等;⑤平面
截正方体所得两个几何体的体积比为
.其中正确命题的序号为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04777f3f4661fa1c08a1cc0dfb807c7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3334853138fb74687d66b1e45f2fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4700efcb84c4027ce7a50af0d5212fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8618bf48f11494d18a68c2c7fc33bf39.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/4f6e9d5e-8364-4030-8b5a-31c02593d6a0.png?resizew=199)
您最近一年使用:0次
名校
解题方法
3 . 如图,在正方体
中,点F是棱
上的一个动点,平面
交棱
于点E,则下列正确说法的序号是___________ .
![](https://img.xkw.com/dksih/QBM/2022/5/9/2975700215357440/2976460194693120/STEM/9bff69cf-bf9a-4058-b628-46ffb165bbbb.png?resizew=152)
①存在点F使得
平面
;
②存在点F使得
平面
;
③对于任意的点F,都有
;
④对于任意的点F三棱锥
的体积均不变.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3c241f900cb6ed341c137a3d71216a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/2022/5/9/2975700215357440/2976460194693120/STEM/9bff69cf-bf9a-4058-b628-46ffb165bbbb.png?resizew=152)
①存在点F使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb96d9ea39bf7974143973559058dbec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6069dc466eec75bbeb3d5c9b51cb3a70.png)
②存在点F使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390c15e3a73978e982688bbc8db12fbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6069dc466eec75bbeb3d5c9b51cb3a70.png)
③对于任意的点F,都有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c672f693a7e75a7bae4936dcb1920430.png)
④对于任意的点F三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f97d99e8ae873d2dcaf0593a3287506c.png)
您最近一年使用:0次
2022-05-10更新
|
909次组卷
|
4卷引用:黑龙江省佳木斯市第一中学2022届高三下学期高考押题卷理科数学试题
黑龙江省佳木斯市第一中学2022届高三下学期高考押题卷理科数学试题陕西省西安市周至县2022届高三下学期三模理科数学试题(已下线)专题14 立体几何(文科)-备战2023年高考数学母题题源解密(全国通用)(已下线)专题31 直线、平面垂直的判定与性质-3