如图,四边形
是正方形,点E为
内一点,连接
,将
绕点B顺时针旋转
得到
,连接
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a88ce951040633269ec0f78706a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ce1475f537b4ad21775bfaa16daa0c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/42b18d1e-53da-42b2-9f46-a1ea3e32acfa.png?resizew=120)
更新时间:2024-01-30 16:08:41
|
相似题推荐
解答题-证明题
|
较易
(0.85)
【推荐1】如图所示,
是一个等腰直角三角形,其中
.D是斜边
上一点,连接线段
,并逆时针旋转
至E,连接线段
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/25/595b3b50-ab53-441d-bae6-09dd153c2125.png?resizew=187)
(1)证明:
.
(2)判断
的形状.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/25/595b3b50-ab53-441d-bae6-09dd153c2125.png?resizew=187)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52273305805769a438772342b53c289e.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0acc93490a6a784eb62201d93dd93d.png)
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【推荐2】如图,
是等边三角形,点D、E分别在
上,且
,
与
相交于点F.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/09d3f05e-dcc4-49df-a6c7-886b91f2552e.png?resizew=166)
(1)试说明
;
(2)求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887721a843b2dc8e947cc42d09868e33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/421291381be28da4bd16560fd383b4a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/09d3f05e-dcc4-49df-a6c7-886b91f2552e.png?resizew=166)
(1)试说明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2524a121b46f521cb7d86352ce169fef.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13a2e6494cf8d2dff0746a9bb72cef43.png)
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解答题-问答题
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【推荐1】如图,在正方形
中,点
分别在
上,且
于
.若
,
,
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/446f0ebe5b33c905e29065cc52cdeb2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fde80aca6b20e7e3d1c392cdbd7b6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c31c9f6ee41257798d7740a2043e108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b65065ec3a0cb4b050989165c003d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86338536656046e93b53672ade9a78b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60572975f9ac06ffc8d98ef94de49eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/29/b2bbb595-fca1-46b3-b9ea-89c459120c46.png?resizew=121)
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解答题-证明题
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【推荐2】已知:如图,E为正方形ABCD的边BC延长线上的点,F是CD边上一点,且CE=CF,连接DE、BF.
![](https://img.xkw.com/dksih/QBM/2014/2/12/1573704474869760/1573704481038336/STEM/b6c449f0683146629c7682c75eca0aa7.png)
(1)求证:DE=BF;
(2)判断BF与DE的位置关系,并说明理由.
![](https://img.xkw.com/dksih/QBM/2014/2/12/1573704474869760/1573704481038336/STEM/b6c449f0683146629c7682c75eca0aa7.png)
(1)求证:DE=BF;
(2)判断BF与DE的位置关系,并说明理由.
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【推荐1】如图,Rt△OAB的斜边OA在y轴上,∠AOB=30°,OB
,将Rt△AOB绕原点顺时针旋转90°,求点A的对应点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ada26e9b7fe22be819d675f72e086ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://img.xkw.com/dksih/QBM/2021/12/4/2865285010300928/2867202886959104/STEM/1377c57eb492404da3f2ea2d90fd60bd.png?resizew=118)
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【推荐2】如图,三角形
中,
,将角形
绕点
按逆时针方向旋转后得到三角形
在旋转过程中:
![](https://img.xkw.com/dksih/QBM/2020/4/12/2439889362378752/2440015889604608/STEM/4c8b4355-8437-486f-b2f7-1cea0e794d69.png)
旋转中心是什么?
为多少度?
与线段
相等的线段是什么?
三角形
的面积是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c00e709784e4c5db7f58a931d9f98c7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2105d41a52cbd0368303a42940be3a.png)
![](https://img.xkw.com/dksih/QBM/2020/4/12/2439889362378752/2440015889604608/STEM/4c8b4355-8437-486f-b2f7-1cea0e794d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c408c9eff6f1b389a954081142ac350d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62295c36d2e2174908c2bec0eb5b30f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926584088b939200d88e64318f2d4e6c.png)
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