1 . 如图,平面中两条直线
和
相交于点
,对于平面上任意一点
,若
分别是
到直线
和
的距离,则称有序非负实数对
是点
的“距离坐标”.
![](https://img.xkw.com/dksih/QBM/2015/7/9/1572174844035072/1572174849302528/STEM/c5f708cfca9142d0a67efa59376aba1e.png?resizew=223)
给出下列四个命题:
① 若
,则“距离坐标”为
的点有且仅有
个.
② 若
,且
,则“距离坐标”为
的点有且仅有
个.
③ 若
,则“距离坐标”为
的点有且仅有
个.
④ 若
,则点
的轨迹是一条过
点的直线.
其中所有正确命题的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f64ebec4a71a609204458cc54df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f87fbbd5c55339ec9601ce6772ebea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8f64ebec4a71a609204458cc54df82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eea5c8fe935beac660eda538e59cd43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e467a94e11cba7d2de64cbd2725a24be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://img.xkw.com/dksih/QBM/2015/7/9/1572174844035072/1572174849302528/STEM/c5f708cfca9142d0a67efa59376aba1e.png?resizew=223)
给出下列四个命题:
① 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/855ae672b41738197a84f8f312951aa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980a38b0be31576fa612b262903030d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
② 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1284df5d3095e17258997667f80038cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436cfc30057c6ac37832c93658340097.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e467a94e11cba7d2de64cbd2725a24be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
③ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9166506c534e7316ff91e22c3df17eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e467a94e11cba7d2de64cbd2725a24be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
④ 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eeb4e7de6f75d2b1d13e276ecc6483c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
其中所有正确命题的序号为
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