如图,在平面直角坐标系中,A(3,0),B(0,4),将△AOB绕点O顺时针旋转一定角度得到△COD,点A,B的对应点分别为点C,D,若OD恰好经过AB的中点E,则点D的坐标为________
![](https://img.xkw.com/dksih/QBM/2021/12/27/2881741336723456/2945316374429696/STEM/f4f04af7-355a-4315-9bdf-8e635f6cf448.png?resizew=153)
更新时间:2022-03-27 16:44:24
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【推荐1】如图所示,在平面直角坐标系中,等边三角形△OAB的边OB在x轴上,点A在直线
上,则点A的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5238542ed6cf839bdb6cd95b3e9a5217.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/12/c4c3dbfb-f41d-4b01-a9e8-9c78f26a66e3.png?resizew=226)
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【推荐1】如图,在平面直角坐标系中,点О为坐标原点,点A的坐标为
,它关于y轴的对称点为B,则
的周长为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4687055c227099c063eadbbd2fe46ec2.png)
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【推荐2】如图,A点的坐标为
,B点的坐标为
,C点的坐标为
,D点的坐标为
.小明发现线段
与线段
存在一种特殊关系,即其中一条线段绕将某点旋转一个角度可以得到另一条线段.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/10/9f79d2b3-28f9-48ad-8380-82830a0239b5.png?resizew=143)
(I)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
______ .
(II)写出旋转中心的坐标是______ .
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(I)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
(II)写出旋转中心的坐标是
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【推荐1】如图,等边三角形
的边长为
,点
为
边上不与端点重合的一动点,连接
,
是
的中点,将线段
绕点
顺时针旋转
得线段
,连接
.当
为直角三角形时,线段
的长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
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【推荐2】如图,在
中,
,
,
,点
是边
的中点,将
绕点C逆时针方向旋转得到
,点
是边
上的一动点,则
长度的最大值与最小值的差为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
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