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解题方法
1 . 如图所示,已知在一个
的二面角的棱上,有两个点
,
分别是在这个二面角的两个面内垂直于
的线段,且
,
,
,则
的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/6/421401cf-eb12-4885-83a3-3b6d2cba2037.png?resizew=153)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7df3b2901ad26337818f75e81448ebb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dafddfd80f69337909f6eac0f0dbfd59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1337ce85d29edabcc2fadb9a9cc31ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/6/421401cf-eb12-4885-83a3-3b6d2cba2037.png?resizew=153)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-02-08更新
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1240次组卷
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3卷引用:2017届湖北省部分重点中学届高三理联考一数学试卷
2 .
是空间不共线的三点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237425c14bf881eac8dc4729bb782b1a.png)
______________ ;类比上述性质得到一般性的结论是_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51511b786346e1490be154c15617bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237425c14bf881eac8dc4729bb782b1a.png)
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2017-02-08更新
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名校
3 . 在平行六面体
中,若
,则
等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea6ae54693c7071113f7365e43af112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1433c8103033c67232f2f9ae189608d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
1015次组卷
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4 . 在四棱锥
中,底面
是平行四边形,设
,则
可表示为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca3d6b65812e2fb9b0334a07dcef046.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbd851f21c53207f7aad69f7a3f9e8a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7113723ae3dd41f861100eb4dc2f4ee4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2016-12-13更新
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709次组卷
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5 . 如图,空间四边形
中,
,
,
,点
在
上,且
,点
为
中点,则
等于
![](https://img.xkw.com/dksih/QBM/2016/10/27/1573098280902656/1573098286858240/STEM/a3a78ecf9d5d4ad690e9237a25087763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38cea3f64b705b575c40b143cdb8fc40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5692b38f194eb8bfd4b38563def07b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d9b7bae4836df8a43d66e18c913b4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/507b5bd1f56b4cf9614c094462fd2180.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1d4a7e5e089debc1779f663d97a6820.png)
![](https://img.xkw.com/dksih/QBM/2016/10/27/1573098280902656/1573098286858240/STEM/a3a78ecf9d5d4ad690e9237a25087763.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 三棱锥ABCD中,AB=AC=AD=2,∠BAD=90°,∠BAC=60°,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde8ed3170ec317be8986296b1ea3676.png)
A.-2 | B.2 | C.![]() | D.![]() |
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25卷引用:2015-2016学年江西省樟树中学、高安二中高二上学期期末理科数学卷
2015-2016学年江西省樟树中学、高安二中高二上学期期末理科数学卷2018-2019人教A版高中数学选修2-1第三章 空间向量与立体几何 模块综合评价2018秋人教A版高中数学选修2-1第三章测评湖南省株洲市第二中学2019-2020学年高二上学期入学考试数学(理)试题福建省福州福清市2017-2018学年学年高二上学期期末考试数学(理)试题陕西省西安市长安区第一中学2020-2021学年高二上学期期中数学(理)试题北京市和平街第一中学2020—2021 学年度高二年级12 月月考数学试题(已下线)专题01 空间向量及其运算(知识精讲)-【新教材精创】2020-2021学年高二数学新教材知识讲学(人教A版选择性必修第一册)(已下线)1.1.3 空间向量的数量积运算-2020-2021学年高二数学课时同步练(人教A版选择性必修第一册)福建省三明第一中学2021-2022学年高二上学期开学考试数学试题广东省广州市第八十九中学2021-2022学年高二上学期第一次月考数学试题海南省海口嘉勋高级中学2021-2022学年高二10月月考数学试题重庆市永川景圣中学校2021-2022学年高二上学期第一次月考数学试题湖北省黄石市有色一中2021-2022学年高二上学期10月月考数学试题江苏省宿迁市沭阳县2021-2022学年高二下学期期中数学试题黑龙江省大庆市第二中学2022-2023学年高二上学期第一次阶段检测数学试题广东省潮州市饶平县第二中学2021-2022学年高二下学期月考(一)数学试题江苏省徐州市第七中学2022-2023学年高二下学期4月月考数学试题(已下线)第01讲 空间向量及其运算(6大考点)-2022-2023学年高二数学考试满分全攻略(人教A版2019选择性必修第一册)四川省合江县中学校2023-2024学年高二上学期第一次月考数学试题河南省周口市项城市第三高级中学2023-2024学年高二上学期第一次月考数学试题湖南省张家界市民族中学2023-2024学年高二上学期第一次月考数学试题福建省泉州市晋江学校2023-2024学年高二上学期第二次月考数学试题(已下线)第一章空间向量与立体几何(知识清单+典型例题)江苏省扬州市宝应县氾水高级中学2023-2024学年高二下学期3月阶段调研考试数学试题
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7 . 三棱锥
中,
分别是
的中点,且
,
,
,用
,
,
表示
,则
等于
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572559566585856/1572559572008960/STEM/e6416ff10d694f639a52eeadbb278eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca65b9c5449c3ad19e136f9026b9bf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48ac5f94e56c4679a32df00c5bb57964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63666d7cc3b50ada407f904098e163c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77e78c91e893f7759482b8de993020f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524594bf0942ed86f56fc1eee120a81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb93bee3008094ff1faf0dc99eba9318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb93bee3008094ff1faf0dc99eba9318.png)
![](https://img.xkw.com/dksih/QBM/2016/3/28/1572559566585856/1572559572008960/STEM/e6416ff10d694f639a52eeadbb278eed.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2016-12-04更新
|
396次组卷
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2卷引用:2015-2016学年福建省漳州一中高二上学期期末理科数学卷
8 . 已知点
在平面
内,且对空间任意一点
,
,
,则
的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16684ba636b2f9807937295154a7697f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/220e57b2519b63e6812c986d8ddbe76a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05743d5fc1671f25464dea7073a31e29.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 如图,空间四边形
中,
,
,
,点
在
上,且
,点
为
中点,则
等于
![](https://img.xkw.com/dksih/QBM/2016/2/24/1572495479947264/1572495485779968/STEM/0e8b1495c8c6464a8cff4e4e88a679e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864ddc2b8ced049c113bbf9f4eee1fb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f7fe6179fe906f8f21ed7f4caea9e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c685168cfd96190ec92368c8330ea25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16af8a48bc15bedd85f5d817d1950f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9c827e46d1a395fafbf15cdd6c6c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69fc86ad68b8f2877570ee85daa40ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3949e79204d1d41a84a96d8f1da491c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f92c0005348ac35069a9fd56068da81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588a2119bc5e8cdf4731828b195a7892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24baaf844a851d6ba271e47cc85e606c.png)
![](https://img.xkw.com/dksih/QBM/2016/2/24/1572495479947264/1572495485779968/STEM/0e8b1495c8c6464a8cff4e4e88a679e7.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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14-15高二上·广东汕头·期末
10 . 设
是四面体,
是
的重心,
是
上一点,且
,若
,则
为__________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011ae6cb0cf49f6d3d19b485dc1cfc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b3fb2da3909e643ef238b8d0ac559e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f9049f32b8b36ebcd94ef69b48d908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4592a7e5f85100f6cd8de62f2ba53b.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d685c54089867c395a4c49ba01b1237.png)
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