如图,四边形
是边长为1的正方形,以对角线
为边作第二个正方形
,连接
,得到
;再以对角线
为边作第三个正方形
,连接
,得到
;再以对角线
为边作第四个正方形
,连接
,得到
设
的面积分别为
,如此下去,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6af7757f9f41d515dd102936b8bfe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4195334905e2f190f958dbf5951456f8.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9db2368811b8ab6ce43b9ecb4148b0.png)
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更新时间:2024-02-20 00:49:39
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【推荐1】如图所示,正方形
的边长为2,点
为边
的中点,点
在对角线
上移动,则
周长的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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【推荐2】如图所示,
与边长为
的正方形
的边
相切,且A、B两点在
上,则圆的半径长是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/bd8191b9-6c1a-4111-8d5a-9bbdb6c9c124.png?resizew=116)
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【推荐1】七巧板是我们祖先的一项卓越创造,被西方人誉为“东方魔板”.已知如图1所示的“正方形”和如图2所示的“风车型”都是由同一副七巧板拼成的,若图中正方形ABCD的面积为16,则正方形EFGH的面积为( )
![](https://img.xkw.com/dksih/QBM/2019/5/31/2215610407034880/2217810670174208/STEM/6735e64d3d2e437c8c0435ffb19c80bf.png?resizew=362)
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A.22 |
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【推荐2】如图,在边长为4的正方形
中,点
、点
分别是
、
上的点,连接
、
、
,满足
.若
,则
的长为( ).
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