如图,将边长为
的正方形绕点B逆时针旋转30°,那么图中阴影部分的面积为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/9/ed666528-3137-42c9-86f0-ef3690450617.png?resizew=152)
更新时间:2023-05-30 20:16:14
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【推荐1】如图,
是
的角平分线,
于点E,
于点F,点G是
上的点,点H是
上的点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/c4d70ec6-ddd3-47f3-965c-14aebce777e6.png?resizew=173)
(1)
与
是否相等?______ (填“是”或“否”);
(2)若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba40b8629275caae4bd231d153236df9.png)
______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/2/c4d70ec6-ddd3-47f3-965c-14aebce777e6.png?resizew=173)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11fc7b0e514bbe36125c5591d3aca0d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba40b8629275caae4bd231d153236df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83873a9d782f2588c5eedbfe73f9bc2f.png)
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【推荐2】如图,在
中,
和
的平分线相交于点O,过点O作
交
于点E,交
点F,过点O作
于点D,连接
,下列四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/23/271f1517-9a63-4d59-a759-e65dc1cad01d.png?resizew=151)
①
和
都是等腰三角形;
②点O到
各边的距离相等;
③若
,则
;
④
,其中结论正确的有______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/23/271f1517-9a63-4d59-a759-e65dc1cad01d.png?resizew=151)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d0cbf8d91c8197cb3ac9b2ddcc62daf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684f55970df210065eaa81b898bfdb9d.png)
②点O到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb2cf0e95fdf1fd8a5b01d3dfd905e08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bebbf78b9cded6fa37de1ec716c967.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4299ddef271c6ed25383e3d6286129dd.png)
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【推荐1】利用图形的分、合、移、补探索图形关系是我国传统数学的一种重要方法.如图1,点I、点G是矩形
对角线
上的两点,四边形
和四边形
是两个全等的正方形,然后按图2重新摆放,观察两图,若矩形
的周长是40,面积是88,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413c1f01d6537387c465fe43c9a1dd9f.png)
______ .
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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【推荐2】如图,E为正方形ABCD边AB上一点,BE=3,AE=1,P为对角线BD上一个动点,则PA+PE的最小值是____
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【推荐1】如图,已知矩形ABCD中,AD=3,AB=5,E是边DC上一点,将
ADE绕点A顺时针旋转得到
,使得点D的对应点
落在AE上,如果
的延长线恰好经过点B,那么DE的长度等于_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a48a700725aa5032190e863c632d02.png)
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【推荐2】如图,在矩形
中,
,
.将矩形
绕点
逆时针旋转至矩形
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恰好经过点
,其中点
的运动路径是弧
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【推荐1】如图,在
中,
,
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【推荐2】如图,
为等边三角形,边长为8,过点
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