如图,已知点A(2,0),B(0,4),C(2,4),D(6,6),连接AB,CD,将线段AB绕着某一点旋转一定角度,使其与线段CD重合(点A与点C重合,点B与点D重合),则这个旋转中心的坐标为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/2e6c9a05-2832-4a54-b7b7-8a965e182ee2.png?resizew=236)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/25/2e6c9a05-2832-4a54-b7b7-8a965e182ee2.png?resizew=236)
A.(2,0) | B.(4,2) | C.(2,4) | D.(6,0) |
更新时间:2021-05-28 21:04:52
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【推荐1】如图,在Rt△ABC中,∠ACB=90°,∠=60°,AC=1,将△ABC绕点C顺时针旋转得△A1B1C,且点A1落在边AB边上,取BB1的中点D,连接GD,则CD的长为( )
![](https://img.xkw.com/dksih/QBM/2018/3/27/1911377834811392/1916989339746304/STEM/479fba3fff0a4d618fe08c74135e4c7a.png?resizew=126)
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A.![]() | B.![]() | C.2 | D.3 |
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【推荐2】如图,一块等边三角形木板
的边长为1,现将木板沿水平线翻转(绕一个点旋转),那么
点从开始到结束所走的路径长度为( ).
![](https://img.xkw.com/dksih/QBM/2019/12/10/2352221812736000/2352346372136960/STEM/ca71431b586144edb92751270cad75de.png?resizew=313)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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A.4 | B.2π |
C.![]() | D.![]() |
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解题方法
【推荐1】如图,在平面直角坐标系中,将正方形OABC绕点O逆时针旋转45°后得到正方形OA1B1C1,依此方式,绕点O连续旋转2020次得到正方形OA2020B2020C2020,如果点A的坐标为(1,0),那么点B2020的坐标为( )
![](https://img.xkw.com/dksih/QBM/2022/2/8/2912177528446976/2913942034366464/STEM/eb5f7b1e-6089-47dd-9a09-4b9c28753db9.png?resizew=179)
![](https://img.xkw.com/dksih/QBM/2022/2/8/2912177528446976/2913942034366464/STEM/eb5f7b1e-6089-47dd-9a09-4b9c28753db9.png?resizew=179)
A.(﹣1,1) | B.(![]() | C.(﹣1,﹣1) | D.(0,![]() |
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【推荐2】如图所示,在
中,
,边
在x轴上,
.将
绕点O顺时针旋转,每次旋转
,第2024次旋转结束时,点A的落点
的坐标为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/52cb2dad-ee43-4f8e-a461-be09143fb769.png?resizew=149)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc1eb76fe74cba30f7cbcde349ba80da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b3543d0ec3959334151bf78d6d05df.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/27/52cb2dad-ee43-4f8e-a461-be09143fb769.png?resizew=149)
A.![]() | B.![]() | C.![]() | D.![]() |
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