名校
1 . 在空间直角坐标系
中,有两点
是
平面上任意一点,则
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aeff15bf6d5c24806133379fa9c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f547a18ec6f5e5e2f5032925a8ff4c1f.png)
您最近一年使用:0次
名校
2 . 已知实数
,满足
,则
的最小值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/819060769d52da4b87df58dfd7490fdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab3c5261469d69d9d079221a349be85.png)
您最近一年使用:0次
2024-05-12更新
|
1130次组卷
|
3卷引用:模块五 专题6 全真拔高模拟6(苏教版高二期中研习)
3 . 设
是以定点
为球心半径为
的球面,
是一个固定平面,
到
的距离为
.设
是以点
为球心的球面,它与
外切并与
相切.令A为满足上述条件的球心
构成的集合.设平面
与
平行且在
上有A中的点.设
是平面
与
之间的距离.则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54f562eb3c2a45d65cba066d712825a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2d70c47444cb333ff8d68e36a52181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf9f50605db5d5f8f3a01ee8e474a112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2d70c47444cb333ff8d68e36a52181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95b2d4d75dec1ac907231fa1ce4e459a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d32c36fe601a5d0c26e1bdb0f8f66366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54f562eb3c2a45d65cba066d712825a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2d70c47444cb333ff8d68e36a52181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2d70c47444cb333ff8d68e36a52181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e10e5b0927b534415bc6e23fd0841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c2d70c47444cb333ff8d68e36a52181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e10e5b0927b534415bc6e23fd0841.png)
您最近一年使用:0次
2024-02-23更新
|
610次组卷
|
4卷引用:河南省南阳市西峡县第一高级中学2023-2024学年高二下学期第一次调研测试数学试卷
河南省南阳市西峡县第一高级中学2023-2024学年高二下学期第一次调研测试数学试卷安徽省六校教育研究会2023-2024学年高三下学期下学期第二次素养测试(2月)数学试题(已下线)第5套 最新模拟重组精华卷5---模块一 各地期末考试精选汇编(已下线)第3题 空间距离最值问题(压轴小题)
2024高二·全国·专题练习
4 . 空间坐标系
中,点
在
轴上,点
,且
,则点
坐标为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a834024400d0730af3e640ca4d5f54b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0430b517f5138df169f12d4111a06496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c659e22afc5537936ae355cd80bd690d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
名校
解题方法
5 . 如图,在棱长为8的正方体
中,
是棱
上的一个动点,给出下列三个结论:①若
为
上的动点,则
的最小值为
;②
到平面
的距离的最大值为
;③
为
的中点,
为空间中一点,且
与平面
所成的角为
,
与平面
所成的角为
,则
在平面
上射影的轨迹长度为
,其中所有正确结论的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a83c0b8db2205a6815811aa4ff5390f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41bbced6026f9512afa005638c6e5c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef3698ab627bc373f4a452481d7cad25.png)
您最近一年使用:0次
2023-12-28更新
|
445次组卷
|
4卷引用:第3章 空间向量及其应用 单元综合检测(难点)-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)第3章 空间向量及其应用 单元综合检测(难点)-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)河北省保定市部分重点高中2024届高三上学期12月期末数学试题2024届河北省高三上学期大数据应用调研联合测评(III)数学试题(已下线)【一题多变】空间最值 向量求解
解题方法
6 . 在空间直角坐标系
中,点
,
,点
在
平面内,且
,请写出一个满足条件的点
的坐标:______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a834024400d0730af3e640ca4d5f54b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bfa7d3e1cc538d338fe83f2980f4534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4947241767cf85935f2b06239d8bb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d96461d2b3421aed548b754637ca8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5929048ce5167abc4750589f2e21841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
名校
7 . 如图,正方形
和
的边长都是1,且平面
,点
、
分别在
、
上移动,若
,则线段
长度的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dde327febef2331a4766a79b433cc02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b8a96aa2ac20fce0b875f2e7f03b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b4e9183e8b5e1aadd77d7df51f5e32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/26/9c669ac9-6fa7-43c5-a5eb-81aebc30aa3f.png?resizew=132)
您最近一年使用:0次
2023-11-27更新
|
199次组卷
|
3卷引用:湖北省武汉市新洲区部分学校2023-2024学年高二上学期期中质量检测数学试题
名校
解题方法
8 . 《九章算术》中将底面为直角三角形且侧棱垂直于底面的三棱柱称为堑堵.在堑堵
中,若
,点
是直线
上的动点,则
到直线
的最短距离是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18b209ba5f8c9b0f282e1ae67a84a376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24bb49fdc6b6bbb2449fdf8a0de769d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/5/eb281c7f-a13c-47d8-9e33-3174e93431be.png?resizew=151)
您最近一年使用:0次
2023-10-17更新
|
300次组卷
|
3卷引用:北京市顺义牛栏山第一中学2023-2024学年高二上学期10月月考数学试题
北京市顺义牛栏山第一中学2023-2024学年高二上学期10月月考数学试题北京市顺义区第二中学2023-2024学年高二上学期期中考试数学试题(已下线)第3章 空间向量及其应用(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第一册)
9 . 在空间直角坐标系
(
为坐标原点)中,点
关于
轴的对称点为点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a834024400d0730af3e640ca4d5f54b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/883e19becd789c8b9b3a55c8b84aebfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
您最近一年使用:0次
名校
10 . 在四面体
中,
两两垂直,
是平面
内一点,且点
到其他三个平面的距离分别是2,3,6,则点
到顶点
的距离是________ .
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次