如图,是由四个全等的直角三角形拼成的“赵爽弦图”,得到正方形
和正方形
,连接
,若
,
,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f0856b8e4899021680f29237d917350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c11c25374913592a448d3b719fc2891d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
A.![]() | B.![]() | C.3 | D.![]() |
更新时间:2024-05-09 13:12:58
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【推荐1】如图,这是由“赵爽弦图”变化得到的,它由八个全等的直角三角形拼接而成,记图中正方形ABCD、正方形EFGH、正方形MNKT的面积分别为
、
、
.若
,则
的值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/f3077a29-55fb-467d-a54a-770b86cb0236.png?resizew=149)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee958a5bc34dc2818ebef128d8a68d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/24/f3077a29-55fb-467d-a54a-770b86cb0236.png?resizew=149)
A.672 | B.673 | C.674 | D.675 |
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【推荐2】设直角三角形的较长直角边长为x,较短直角边长为y.若 xy=8,大正方形的面积为25,则小正方形的边长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/8b29c75d-11ce-4449-884c-ffb256edf583.png?resizew=115)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/24/8b29c75d-11ce-4449-884c-ffb256edf583.png?resizew=115)
A.9 | B.6 | C.4 | D.3 |
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【推荐1】如图,已知正方形
的边长为2,
为
边上一点,以
为边在
的上方作正方形
.延长边
交边
于点
,如图.若正方形
与四边形
的面积相等,则线段
的长是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea51de5ca1c2879e7a767a60ce4624cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1cd41816f573bf5c21e4913ec7009bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c4c865445dda4a59b6d5cb18fd74404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1cd41816f573bf5c21e4913ec7009bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac66de8543430fd51e7c18042e626dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
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【推荐2】如图,正方形ABCD的边长为10,AG=CH=8,BG=DH=6,连接GH,则线段GH的长为( )
![](https://img.xkw.com/dksih/QBM/2016/6/29/1574214605193216/1574214611148800/STEM/05e6852a405745b390fdca740312d50a.png)
![](https://img.xkw.com/dksih/QBM/2016/6/29/1574214605193216/1574214611148800/STEM/05e6852a405745b390fdca740312d50a.png)
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