如图,
中,
,以
的三边为边向外作正方形,其面积分别为
,
,
,且
,
.则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](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/f56de8f4df2cbd501c56927d5e56847f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/299bc1e32a2e5525e5d53bbb7166931b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b625192d7398634a02ea24fa78ed87.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/3/e6bce398-4453-40c9-9902-8c5ac3fbea84.jpg?resizew=158)
A.5 | B.12 | C.15 | D.16 |
更新时间:2023-10-01 18:52:50
|
【知识点】 以直角三角形三边为边长的图形面积
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【推荐1】勾股定理是人类最伟大的科学发现之一,在我国古算书《周髀算经》中早有记载.如图1,以直角三角形的各边为边分别向外作正方形,再将较小的两个正方形分别绕直角三角形斜边上的两顶点旋转得到图2,则图2中阴影部分面积等于( )
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A.直角三角形的面积 | B.最小正方形的面积 |
C.较小两个正方形重叠部分的面积 | D.最大正方形与直角三角形的面积和 |
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【推荐2】如图,当正方形B的面积为64,正方形C的面积为100时,正方形A的面积为( )
![](https://img.xkw.com/dksih/QBM/2023/9/20/3328973754114048/3331207637884928/STEM/b504947a6cdb4d6081abfd822ff70c2b.png?resizew=127)
![](https://img.xkw.com/dksih/QBM/2023/9/20/3328973754114048/3331207637884928/STEM/b504947a6cdb4d6081abfd822ff70c2b.png?resizew=127)
A.36 | B.25 | C.16 | D.6 |
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