2022高二上·全国·专题练习
1 . 直四棱柱
中,底面
为正方形,边长为
,侧棱
,
分别为
的中点,
分别是
的中点.
(1)求证:平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
平面
;
(2)求平面
与平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42b7a6fa7e458d23a752c9ea7587a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f32cd6cc4a9393b30d51590ef51d385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7be23853195f43a1cf02205b29d331.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/13/cc270495-12a2-402e-a6e2-c77b799ef9ea.png?resizew=165)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31ef428bd9de9bc875b343feded3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba02775d6d650b09bac9b46a895d434.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba02775d6d650b09bac9b46a895d434.png)
您最近一年使用:0次
2022-07-17更新
|
2056次组卷
|
13卷引用:6.3.4空间距离的计算(1)
(已下线)6.3.4空间距离的计算(1)(已下线)7.6 空间向量求空间距离(精练)(已下线)专题1 利用空间向量求距离(2)(已下线)第11讲 用空间向量研究距离、夹角问题11种常见考法归类-【暑假自学课】2023年新高二数学暑假精品课(人教A版2019选择性必修第一册)(已下线)专题1.5 空间向量的应用【十大题型】-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)高二上学期第一次月考十八大题型归纳(拔尖篇)(2)(已下线)考点11 空间距离 2024届高考数学考点总动员 【讲】(已下线)专题07 利用空间向量计算空间中距离的8种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)(已下线)专题06 用空间向量研究距离、夹角问题10种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)(已下线)6.3 空间向量的应用 (4)(已下线)3.4.2 求距离(六大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)1.4.3 空间向量的应用--距离问题(已下线)专题突破:空间几何体的距离问题-同步题型分类归纳讲与练(人教A版2019必修第二册)
2 . 如图,在棱长为2的正方体
中,E,F分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/7cf97057-4211-40b1-9e3d-fc7dc3f29b33.png?resizew=150)
(1)求证:平面
平面
;
(2)求平面
与平面
之间的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/7cf97057-4211-40b1-9e3d-fc7dc3f29b33.png?resizew=150)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d87681c3440e8ff0252faf650228690.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd4e4880c60253b6ba55f72484a1eb7.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69bcb3226e013650b7d8827c31dd41d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd4e4880c60253b6ba55f72484a1eb7.png)
您最近一年使用:0次
2020-08-16更新
|
1641次组卷
|
5卷引用:8.6.2 空间角与空间距离(精练)-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)8.6.2 空间角与空间距离(精练)-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)8.6空间直线、平面的垂直(1)(精炼)-2020-2021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)第13课时 课中 直线与平面垂直的性质(已下线)立体几何专题:空间几何体中的5种距离问题山东省济宁市2019—2020学年度第二学期质量检测高一期末考试数学试题
3 . 正方体
中,边长为4,则异面直线
与
的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
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4 . 已知平面
平面
,点
,
,点
,
,若
,且
、
在
内射影长分别为5和16,则
与
间距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5ec2523acf52815c372ab68df4b1e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4cc2f3dcb248fc764614be3a9ddd25b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaccf1887c4b530fd86a2f0f199c6797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d67367cce92c1168654d801cdf3df3de.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/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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5 . 在长方体
中,E,F,G,H分别为
,
,
,
的中点,
,则平面ABCD与平面EFGH的距离为________ .
![](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/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
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6 . 在长方体
中,
,
,
,则直线BC到面
的距离为________ ;直线
到面
的距离为________ ;面
与面
的距离为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3e58edd1f900ca82bb2a3058293f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b54387f870ae37f7951b253665d64f6.png)
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7 . 如图,长方体
中,
,
,
,则
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/7da2f16e-2ee1-4dd9-b3e2-5eb56d4968e8.png?resizew=199)
(1)点
到平面
的距离为________ ;
(2)直线
到平面
的距离为________ ;
(3)平面
与平面
之间的距离为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6747441b260ca043446b5d472fece440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9547f6b5c7c54d216ecea72becb7d373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c0dc6026c1fa5aaf232afd55c1e55ec.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/3/7da2f16e-2ee1-4dd9-b3e2-5eb56d4968e8.png?resizew=199)
(1)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b54387f870ae37f7951b253665d64f6.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
(3)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
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