如图已知正方形
的边长为2,
点为
边上的一点(不与
、
重合)以点
为中心,把
绕点
顺时针旋转90°,得到
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/81a29fdb-975f-48c5-a723-917f75ebba24.png?resizew=169)
(1)问
是 三角形,请说明理由?
(2)求四边形
的面积?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/252053b853152bd294a8315debd00b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1132157a33c82610c2d5035493d024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289d7a880379d6060065c829b45b0ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0914b68f106a912420705b2f3928ca42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bc5547bb6d2a7a315962ff75f6ba8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0914b68f106a912420705b2f3928ca42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a0dfde114b69d6688d51c7de849dbe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/81a29fdb-975f-48c5-a723-917f75ebba24.png?resizew=169)
(1)问
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8705562f99ffe457aa102c61eee35d4.png)
(2)求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910936ec9fb419d51ce2f5ea817f8401.png)
更新时间:2022-10-24 09:35:08
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【推荐1】∠B=∠D=90°,△ABC≌△CDE,B、C、D三点共线.试说明:∠ACE=90°.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/14/6715fec8-d593-48c5-b307-f69e69294468.png?resizew=183)
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【推荐2】如图,已知
,点E在
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【推荐1】如图,
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.点D在
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【推荐2】如图,
和
均是等腰直角三角形,
,点E在线段
上,
相交于点F,连接
,作
,垂足为点H,交
于点G.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/19/aab76356-f269-47ef-a130-092ccc7fd69e.png?resizew=165)
(1)求证:
;
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d631f45bc652539853f236952afa5bbf.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a9c6a736e6eac98a676fa3232db5a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79281384668b7f5f850b2372eda320b6.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/19/aab76356-f269-47ef-a130-092ccc7fd69e.png?resizew=165)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10739f9b9deddb8a29579510b0dc4d36.png)
(2)若
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【推荐1】如图,某边长为
的正方形广场四角铺上了四分之一圆形的草地,若圆形的半径为
.
![](https://img.xkw.com/dksih/QBM/2019/6/26/2234018519293952/2234060751667200/STEM/03c48566afb949cd9fccd544aa0013f7.png?resizew=141)
(1)用含
、
的代数式表示图中空地部分面积;
(2)若
米,
米,求空地面积(
取3.14,结果精确到0.1平方米)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://img.xkw.com/dksih/QBM/2019/6/26/2234018519293952/2234060751667200/STEM/03c48566afb949cd9fccd544aa0013f7.png?resizew=141)
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【推荐2】如图,点E在正方形ABCD的内部,且∠AEB=90°,AE=6,BE=8,求阴影部分的面积.
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【推荐1】如图,把矩形ABCD绕点A按逆时针方向旋转得到矩形AEFG,使点E落在对角线BD上,连接DG,DF.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/0d7e268c-75b7-47ef-8d45-587d2bf8eec3.png?resizew=143)
(1)若∠BAE=50°,求∠DGF的度数;
(2)求证:DF=DC.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/0d7e268c-75b7-47ef-8d45-587d2bf8eec3.png?resizew=143)
(1)若∠BAE=50°,求∠DGF的度数;
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【推荐2】如图,△ABC由△EDC绕C点旋转得到,B、C、E三点在同一条直线上,∠ACD=∠B,求证:△ABC是等腰三角形.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/9/b7f68d1f-71db-40a0-b789-30a7c74b15d7.png?resizew=170)
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