如图,正方形
的边长为4,其面积标记为
,以
为斜边作等腰直角三角形,以该等腰直角三角形的一条直角边为边向外作正方形,其面积标记为
,……,按照此规律继续下去,则
的值为()
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/ec69d66c-a117-4785-8ecc-69e621a60396.png?resizew=208)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b50ec7342673cc1f11b613c3efd3c6c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/ec69d66c-a117-4785-8ecc-69e621a60396.png?resizew=208)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2024-01-05 14:32:09
|
相似题推荐
单选题
|
适中
(0.65)
【推荐1】如图,在正方形
中,
,
,
,
,垂足分别是
,
,连接
,若
,正方形
与正方形
的面积之比为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c627c657d0139d1c7cc99ddb83f1a09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063b97b04842da4fe4098706f5abcea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd49aa229fd2042d23d98d930a7bd80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f49d1de7c6dfc04b6e84e23eec0a1d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d8fe9a516c89a9939a01350eaf7ed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48dbcee0a8db094aabd22e1ff3a50f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41d4de39daabc2601bf96a9801e8bae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8470182e3a1b46a1e48f02a4f098d688.png)
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A.4 | B.3 | C.2.5 | D.2 |
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单选题
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【推荐2】如图,在
中,
,
,D为
的中点,
,P是半径为2的
上一动点,连接
,E是
的中点,连接
,则
长的最大值为( )
![](https://img.xkw.com/dksih/QBM/2022/3/23/2942345964396544/2948160123961344/STEM/26d00607-12dc-4c2f-b7e7-587a79a5bcb4.png?resizew=196)
![](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/b939af5ba06e279cce39396aaf0fae06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ee826937d2add7a93aaa1422f8b736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c20d0b44025a639ce3a92d639dae587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/2022/3/23/2942345964396544/2948160123961344/STEM/26d00607-12dc-4c2f-b7e7-587a79a5bcb4.png?resizew=196)
A.7 | B.9 | C.8 | D.6 |
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名校
解题方法
【推荐1】如图,△ABC和△ADE都是等腰直角三角形,∠BAC=∠DAE=90°,连接CE交AD于点F,连接BD交CE于点G,连接BE.下列结论中,正确的结论有( )
①CE=BD;②△ADC是等腰直角三角形;③∠ADB=∠AEB;④S四边形BCDE=
BD•CE;⑤BC2+DE2=BE2+CD2.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/f9726458-cdaa-46b2-9b4b-20f9effd358f.png?resizew=122)
①CE=BD;②△ADC是等腰直角三角形;③∠ADB=∠AEB;④S四边形BCDE=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/2/f9726458-cdaa-46b2-9b4b-20f9effd358f.png?resizew=122)
A.1个 | B.2个 | C.3个 | D.4个 |
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