如图,点
是正方形
的中心,
与
相切于点
,连接
,若
,
,则正方形
的面积是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/7/43e1b14b-b8ea-4f40-8c84-c5f63e2b1a6d.jpg?resizew=130)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6370d6c626bdabf1fc694501ee6c714f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d2231c7a2875ab6d423dff3ead4069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/7/43e1b14b-b8ea-4f40-8c84-c5f63e2b1a6d.jpg?resizew=130)
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更新时间:2024-01-07 11:53:31
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【推荐1】已知如图,正方形ABCD中,AD=4,点E在CD上,DE=3CE,F是AD上异于D的点,且∠EFB=∠FBC,则tan∠DFE=( )
![](https://img.xkw.com/dksih/QBM/2018/12/14/2096537998016512/null/STEM/8b2902a795884389b08c41ba4ce6c83e.png?resizew=115)
![](https://img.xkw.com/dksih/QBM/2018/12/14/2096537998016512/null/STEM/8b2902a795884389b08c41ba4ce6c83e.png?resizew=115)
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【推荐2】如图,在正方形 ABCD 外取一点 E,连接 AE、BE、DE.过点 A 作 AE 的垂线交DE 于点P.若 AE=AP=2,PB= 2
.下列结论:①△APD≌△AEB;②EB⊥ED;③点 B 到直线 AE 的距离为
;④S△APD+S△APB= 2
;⑤S 正方形ABCD=16 4
.其中结论正确的个数是( )
![](https://img.xkw.com/dksih/QBM/2022/3/26/2944572649054208/2944749119561728/STEM/9c89ac3823714c6e9300127934a515ac.png?resizew=167)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
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![](https://img.xkw.com/dksih/QBM/2022/3/26/2944572649054208/2944749119561728/STEM/9c89ac3823714c6e9300127934a515ac.png?resizew=167)
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【推荐1】如图,AB为
的直径,CA与
相切于点A,BC交
于点D,E是
的中点,连接OE并延长交AC于点F,若
,
,则AF的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/7/0afe594e-ded2-4e9e-a84a-fdc1c53c9523.png?resizew=119)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3ea20280f6731c35a9746d531cdc57.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/7/0afe594e-ded2-4e9e-a84a-fdc1c53c9523.png?resizew=119)
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【推荐2】在数学课上,我们学习了内切圆的概念,小明拿出了一个直角三角形
,已知
,
,那么
的内切圆的周长可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐1】如图:在矩形ABCD中,AB=4,BC=3,折叠矩形ABCD使BC落在BD上,点C落在F点处,延长EF交AB于G,连接DG,则①DE=
,②S四边形DGBE=
,③DG=
,④ S△BGF=
.其中正确的有( )
![](https://img.xkw.com/dksih/QBM/2017/6/28/1718448971612160/1719605653716992/STEM/109c2da2ff3546febab314908b2af905.png?resizew=201)
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【推荐2】如图,在正方形
中,点
为边
延长线上一点,连接
,交
,
分别于
,
两点.若
,则
的长度为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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