解题方法
1 . 在正三棱柱
中,
为
的中点,
分别为线段
,
上的动点,且
,则线段
的长度的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99ef164a99282e74b20006c45cbbeec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460a9dc7a32cc7fa60fe5b8479d48924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-28更新
|
141次组卷
|
3卷引用:高二 模块3 专题1 第3套 小题进阶提升练(苏教版)
名校
解题方法
2 . 如图,正三棱锥
中,三条侧棱
两两垂直且相等,
为
的中点,
为平面
内一动点,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bb1063e139610045f3bca5ca0b2766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7f4df2accca6fd8205f125a571a807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180704fa9e59ad3826f173d4ffc9eb26.png)
您最近一年使用:0次
2024-02-05更新
|
317次组卷
|
3卷引用:浙江省温州中学2023-2024学年高一下学期期中考试数学试题
浙江省温州中学2023-2024学年高一下学期期中考试数学试题江西省九江市2023-2024学年高二上学期期末考试数学试题(已下线)广东省深圳市深圳外国语学校2024届高三上学期第二次模拟测试数学试题变式题11-16
解题方法
3 . 空间内有三点
,
,
,则点
到
的中点
的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4e6ad7d37cde2e3dc9ec85b8aebea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc7f1fec14d31461b846400b10ad7ba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b34b0240a599afb4955a2bc26b4bd2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-02-03更新
|
253次组卷
|
2卷引用:甘肃省武威市凉州区2023-2024学年高二下学期期中质量检测数学试卷
4 . 已知空间直角坐标系中点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa937038ad8b9a1fea21965f617c7702.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026e7cc811f161ed910fa74491911c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa937038ad8b9a1fea21965f617c7702.png)
您最近一年使用:0次
5 . 设点
关于坐标原点的对称点是B,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6af8b6d0cb811489f0617f2053ac15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
A.6 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 如图,已知正方体
的棱长为
,点
为
的中点,点
为正方体上底面
上的动点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae91cdbbbf667739141ea20543129c5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fd3dbc21137cc3dd200ca4bfe8a01e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/1/a89e7438-5de9-489e-9796-743f8935546d.png?resizew=150)
A.满足![]() ![]() ![]() ![]() |
B.满足![]() ![]() ![]() |
C.存在唯一的点![]() ![]() |
D.存在点![]() ![]() |
您最近一年使用:0次
2023-12-01更新
|
117次组卷
|
2卷引用:福建省三明地区部分高中校协作2023-2024学年高二上学期期中联考数学试题
名校
解题方法
7 . 已知图1中,
是正方形
各边的中点,分别沿着
把
,
,
,
向上折起,使得每个三角形所在的平面都与平面
垂直,再顺次连接
,得到一个如图2所示的多面体,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c82a10b4f0c9323d726804c89dd9548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a337a934b801730321f67b0e5a0b144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004104bafb5f30338123d4ea2b7fedde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc1b68f13fed987f5209197de7bc8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c768dedaea22607617398ce28a02dd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b43490ca09467a4c8cd8cfe91c94e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
A.![]() |
B.平面![]() ![]() |
C.直线![]() ![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
2023-11-26更新
|
427次组卷
|
6卷引用:福建省泉州科技中学2023-2024学年高二上学期期中考试数学试题
福建省泉州科技中学2023-2024学年高二上学期期中考试数学试题江西省赣州市南康中学2024届高三上学期七省联考考前数学猜题卷(九)(已下线)高二上学期数学期末模拟卷(二)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第一册)江苏省睢宁高级中学2023-2024学年高二下学期3月学情检测数学试卷(已下线)第七章 应用空间向量解立体几何问题拓展 专题一 立体几何非常规建系问题 微点3 立体几何非常规建系问题(三)【培优版】江西省丰城市第二中学2023-2024学年高二下学期4月月考数学试题
解题方法
8 . 正方形
的边长为12,其内有两点P,Q,点P到边
,
的距离分别为3和1,点Q到边
,AB的距离也分别为3和1.现将正方形卷成一个圆柱,使得AB和
重合(如图),则此时P,Q两点间的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/22/36ccdba6-0733-4b38-acb9-e9d93c9a1aad.png?resizew=253)
您最近一年使用:0次
解题方法
9 . 已知
,
,若点
关于平面
的对称点为
,则
,
两点间的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/954c166dfe0137a7d5d5bcb5f4315d4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f71397b1f2d4822de6b5b80f0829fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef1e8a88d934eca5399decc64fdbd43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
名校
解题方法
10 . 如图,在直棱柱
中,
,
,
,
是
的中点,点
在
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/8c417964-47ed-4563-a5d7-ab2d7e4d9a68.png?resizew=114)
(1)求证:
;
(2)求
与
所成角的余弦值;
(3)若
,求点
,
之间的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca38004c7744a7567bef30f0674fe60f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3cc9cccfb4c260dac05f4ed57e8c10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/8c417964-47ed-4563-a5d7-ab2d7e4d9a68.png?resizew=114)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b201f1e798eb74963b98f2b0da4132.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7d857811cbd619f868d951aa7a0ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd4c85bb98a2a0afddd7ed92578ad2e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1851ea60a25f3c76dcf01418bc9da0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
您最近一年使用:0次
2023-11-17更新
|
144次组卷
|
2卷引用:湖南省湘潭市湘潭大学附属实验学校2023-2024学年高二上学期11月期中数学试题