如图,在平面直角坐标系中,矩形
的顶点A,B分别在y轴正半轴、x轴正半轴上,顶点C,D在第一象限.已知
,
,将矩形
绕点O逆时针旋转,每次旋转90°,则第2023次旋转结束时,点C的坐标是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c20e5e01e88591113257c46fe308ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c1ac2e11788860424508ea9e80cf89d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/2/0e1b52f0-d711-4b6d-8829-24f28c9bd9c5.png?resizew=184)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2023-05-30 23:52:40
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【推荐1】如图,在平面直角坐标系中,动点P从
出发,沿着![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0429b07156d925ddf8719438e4108f.png)
的路线运动,按此规律,则点P运动到
时坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1851fc655773c94333118f6e09fda8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0429b07156d925ddf8719438e4108f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a98bd4606800c76ee1b49edf836530a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9485fb210c85b2ed4a7cf63f358462.png)
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【推荐2】如图,在Rt△ABC中,∠ABC=90°,tan∠BAC=4,A(0,a),B(b,0),点C在第四象限,BC与y轴交于点D(0,c),若y轴平分∠BAC,则点C的坐标不能表示为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/21/2a768624-a68c-41dd-90be-a8491f184628.png?resizew=180)
A.(4a+b,4b) | B.(2a+2c,﹣8c﹣8a) |
C.(﹣b﹣4c,4b) | D.(2a﹣2c,﹣8c﹣8a) |
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【推荐1】如图,矩形OABC的顶点A、C都在坐标轴上,点B在第二象限,矩形OABC的面积为6
.把矩形OABC沿DE翻折,使点B与点O重合.若反比例函数y=
的图象恰好经过点E和DE的中点F.则OA的长为( )
![](https://img.xkw.com/dksih/QBM/2019/5/31/2215358286389248/2216933773950976/STEM/5de68c505a2f47a79fce10250886da48.png?resizew=173)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7881094ce2f907c3aaf664318ecd3e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abb3a62e46296c417261156b51ec6b4.png)
![](https://img.xkw.com/dksih/QBM/2019/5/31/2215358286389248/2216933773950976/STEM/5de68c505a2f47a79fce10250886da48.png?resizew=173)
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【推荐2】如图,在正方形ABCD中,AP∥CQ,AP=CQ,∠BQC=90°,若正方形ABCD的面积为64,且AP+BQ=10,则PQ的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/a6903c92-c4b8-45a1-88c7-c5876b857150.png?resizew=147)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/22/a6903c92-c4b8-45a1-88c7-c5876b857150.png?resizew=147)
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【推荐1】如图,在矩形
中,
点
是
的中点,点
是边
上的动点,连接
并延长交
的延长线于点
点
在五边形
中,连接
若
则四边形
面积的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed2e3dac199b2b4c14cd0fadbd63ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7c57b07f75e97d9f84718bd495ebcf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
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【推荐2】如图,在矩形
中,对角线
相交于点O,
,点E是
上一动点,点P是
的中点,连接
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d578394cd8e4d7a705599269c512960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23c338b696120a21b370e89dc3de0a48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1341b777fcd74f3392e3bf00c0e6a1ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10859e633d35b46fd6f5fbae5d12175b.png)
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【推荐1】如图,在平面直角坐标系中,四边形
关于
轴对称,
,
,
,将四边形
绕点
逆时针旋转90°后得到四边形
,依此方式,绕点
连续旋转2021次得到四边形
,那么点
的坐标是( )
![](https://img.xkw.com/dksih/QBM/2020/11/17/2594896886308864/2608192490971136/STEM/8ddabf88-fe79-476b-b6ed-232dc53e7ba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7491996a2b877163faaf5ee624a2ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dc6121c227e254b82cb1ed3bc79f8a.png)
![](https://img.xkw.com/dksih/QBM/2020/11/17/2594896886308864/2608192490971136/STEM/8ddabf88-fe79-476b-b6ed-232dc53e7ba3.png)
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【推荐2】如图所示,在平面直角坐标系中
,
,
是直角三角形,且
,
,
到
轴距离为
,把
绕点
顺时针旋转
,得到
;把
绕点
顺时针旋转
,得到
.以此类推,则旋转第2017次后,得到的直角三角形的直角顶点
的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb9e88d3e58141dba299dcd8edc4e18.png)
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