以正方体
的对角线的交点为坐标原点O建立右手系的空间直角坐标系
,其中
,
,
,则点
的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e336d6ca2cae3d6e6c3810d7e521a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e3f1e47e31942e2b15b2adde8fa55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33fd015b04774a67315672181900a043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462a8f83fcdd3522116d28faa713f156.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
更新时间:2022-02-03 22:27:15
|
相似题推荐
填空题-单空题
|
较易
(0.85)
【推荐1】在平面直角坐标系中,点
的几个特殊的对称点的坐标如下:
①关于原点的对称点是
;
②关于
轴的对称点是
;
③关于
轴的对称点是
.
那么,在空间直角坐标系中,点
的几种特殊的对称点的坐标如下:
(1)关于原点的对称点是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
________ .
(2)关于
轴的对称点是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
________ .
(3)关于
轴的对称点是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
________ .
(4)关于
轴的对称点是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
________ .
(5)关于
平面的对称点是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e24e843f778f53af4f3c9e25faa809.png)
________ .
(6)关于
平面的对称点是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63be95225b55df87368caaf221adf29e.png)
________ .
(7)关于
平面的对称点是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb82d62ae6889a177c70d3adf8a91056.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
①关于原点的对称点是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d496236655049ba564958d21450522.png)
②关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e031e38ed869cb9621f66abff2bb752.png)
③关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b518364bd4f6c31ef2639fe4f6abe43.png)
那么,在空间直角坐标系中,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b82ad92798b264062c062f4a9a1a5c.png)
(1)关于原点的对称点是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
(2)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
(3)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
(4)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee50575e3ebd56c4f46dd0bbf8e55d3.png)
(5)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e24e843f778f53af4f3c9e25faa809.png)
(6)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef1e8a88d934eca5399decc64fdbd43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63be95225b55df87368caaf221adf29e.png)
(7)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7d96461d2b3421aed548b754637ca8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb82d62ae6889a177c70d3adf8a91056.png)
您最近一年使用:0次
填空题-单空题
|
较易
(0.85)
名校
【推荐2】已知点
的坐标为
,过点
作
平面的垂线
,则垂足
的坐标为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08bef22d74aece2e6412f626d2047be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef1e8a88d934eca5399decc64fdbd43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
填空题-单空题
|
较易
(0.85)
名校
【推荐1】如图,以长方体
的顶底
为坐标原点,过
的三条棱所在的直线为坐标轴,建立空间直角坐标系,若
的坐标为
,则
的坐标为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3950ed263272af089455908d3659aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e63cdf7853037727eabe6b1208527173.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75be6bf937178954c0346fe9a1607206.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/bd6cad45-c58b-4931-88b0-b774446b05e9.png?resizew=187)
您最近一年使用:0次
填空题-单空题
|
较易
(0.85)
【推荐2】已知正四面体
的棱长为
,
为
的中心,
为
上一点且满足
、
、
两两垂直.过点
作平面
,其中
、
、
位于平面
的同一侧,
是平面
的单位法向量且指向另外一侧,
、
两点到平面
的距离分别为1和
.以
为坐标原点,
、
、
为
、
、
轴建立空间直角坐标系(如图所示),则
的坐标为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5c3d1c5c220a5f83992de597d4fd9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5c3d1c5c220a5f83992de597d4fd9e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/2589baa5-654d-4f64-94e1-63482cad58a6.png?resizew=199)
您最近一年使用:0次