1 . 在平面直角坐标系中,定义两点
之间的直角距离为:
现有以下命题:
①若
是
轴上的两点,则
;
②已知
,则
为定值;
③原点
与直线
上任意一点
之间的直角距离
的最小值为
;
④若
表示
两点间的距离,那么
.
其中真命题是__________ (写出所有真命题的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976a13bcc46b77df6805d88275b3616b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6082c4f8d9b2946201770a7a925bc007.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ec1ba734fa3df36ab1f56ef4fb80a73.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46ad083ea758b55acfe8b79746a678e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82923ea5d3a0b7bc6a2c529959324b0d.png)
③原点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e32a237e5e2d4dc064d337ab21fef41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82358b724051b032c7ec734a226ae84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/275c53e0c1cc946b417eede46e3249dc.png)
其中真命题是
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2020-03-03更新
|
303次组卷
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3卷引用:河南省信阳高级中学2022-2023学年高二上学期10月月考数学试题