如图,
中,
,分别以
的三边为边作正方形
,正方形
,正方形
,
交
于点
.三个正方形没有重叠的部分为阴影部分,设四边形
的面积为
,四边形
的面积为
,若
,
,则正方形
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3a079cfdcca9acdacecbf08f9f78cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b60c3b75ff1610956dfe9a9cd7692d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c35e7a990d8ff3e55945fd4718a9740.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42774a918f52ac8aa8b1f5b78a676f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67716ac738ee2911a69bf4063110a5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5397de5ffcec02580104d7c3decf5f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a12c57d147d80f2993b084db28dc05c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd16f8e37ab5104dd2d06a4e53dc6c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2eb41913d12742fa72f7d29da3c295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b60c3b75ff1610956dfe9a9cd7692d03.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/24/9652be31-89c4-4c4a-8cc2-4a0b286d40b2.png?resizew=179)
更新时间:2023-12-24 21:07:34
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【推荐1】如图,已知OP=1,过P作PP1⊥OP,且PP1=1;再过P1作P1P2⊥OP1且P1P2=1;又过P2作P2P3⊥OP2且P2P3=1;又过P3作P3P4⊥OP3且P3P4=1;…,按照这种方法依次作下去得到一组直角三角形Rt△OPP1,Rt△OP1P2,Rt△OP2P3,Rt△OP3P4,…,它们的面积分别为S1,S2,S3,S4,…,那么S2021=_____ .
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