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)
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名校
2 . 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)
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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
3 . 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)
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名校
4 . 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)
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5 . 空间点
,
,
,若
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f7d143fba146d3217e599704bf68a0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4098582bf9572f219d7a7d1f30562d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1491f35cca684901ae274e9098cc80ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed45293c354f1c7f09aba34098c17cfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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22-23高二下·上海宝山·阶段练习
6 . 已知
,到
两点距离相等的点
的坐标
满足的条件为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a01a6744f5d7a2a3723bd3d9376ec63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bfcaf2a345411411cf94422703e9269.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a14c388e1e2e5a2ff1ccf6caffbee0d.png)
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7 . 在空间直角坐标系中,下列结论中正确的是______ .(填序号)
①点
关于
轴对称的点的坐标为
;
②到点
的距离小于
的点的集合是
;
③点
与点
所连线段的中点坐标是
;
④点
关于平面
对称的点的坐标为
.
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02536ed55695e616aaf4fd54057313d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186a15a47fa4d4ef72915b6d94b06d6a.png)
②到点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ea14739183ccf1ece92ef6d86d5ddbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf63b4f8df00c616cfd8ff9ef9fc5603.png)
③点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d567af011a49b2ab880c904dd2637b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4740ff31097640f08821e482501ac0bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ba25c16299970a8b2ba861f3ae34f5.png)
④点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6e610db75ed89f17ff4c4d77180309.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef1e8a88d934eca5399decc64fdbd43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad4cdaffde2605e3b5d5b346bcc340b.png)
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2022-09-07更新
|
366次组卷
|
2卷引用:沪教版(2020) 选修第一册 精准辅导 第3章 3.3 空间向量的坐标表示
名校
8 . 已知点A(4,5,6),B(-5,0,10),在z轴上有一点P,使|PA|=|PB|,则点P的坐标为________ .
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9 . 如图,在长方体
中,
,动点M在棱
上,连接
,则
的最小值为 ___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1e146b544a5060ff0b38c1fd0379e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b46241489eceba7fbd244fe8a412b59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00411379a5198cf2be7847fe5cb4bf6a.png)
![](https://img.xkw.com/dksih/QBM/2021/11/12/2849537746337792/2851026422333440/STEM/92919912-1c00-4cff-aac3-57454aaf3943.png?resizew=218)
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10 . 已知点
,
,点P在x轴上,且
,则点P的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a746c2759c06fd94b167fe63a22e64e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac3b6ee2ed9e83abbfe92c4c89c6daf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/480d90760960dda5789580cc7217a4ba.png)
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2021-11-12更新
|
148次组卷
|
3卷引用:宁夏银川唐徕回民中学2021-2022学年高二10月月考数学试题