定义:对于平面直角坐标系
中的不在同一条直线上的三点P、M、N,若满足点M绕点P逆时针旋转
后恰好与点N重合,则称点N为点M关于点P的“垂等点”,请根据以上定义,完成填空:如图,已知点A的坐标为
,点C是y轴上的动点,点B是点A关于点C的“垂等点”,连接
;
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/60a70164-d39b-441c-bcbe-1531cc5b88a1.png?resizew=195)
(1)若点 C坐标为
,则点 B的坐标为 _________ ;
(2)
的最小值是_____________________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/965390f63271c273173f42a8b3f7e527.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a817cadf8bc4f29fb811c8e3e5a2184.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/29/60a70164-d39b-441c-bcbe-1531cc5b88a1.png?resizew=195)
(1)若点 C坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4fd84394e897ebf6c4814b841d427b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef18b75128038cdb442cff1c01d9d4ec.png)
更新时间:2024-02-29 16:48:21
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