在平面直角坐标系中,定义为两点,之间的“折线距离”.在这个定义

在平面直角坐标系中,定义为两点,之间的“折线距离”.在这个定义下,给出下列命题:

①到原点的“折线距离”等于的点的集合是一个正方形;

②到原点的“折线距离”等于的点的集合是一个圆;

③到两点的“折线距离”之和为的点的集合是面积为的六边形;

④到两点的“折线距离”差的绝对值为的点的集合是两条平行线.

其中正确的命题是____________.(写出所有正确命题的序号)

答案

①③④

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