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[几何] 面积,解决不了,已经一个星期了

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realnumber Posted 2014-5-14 07:48 |Read mode
Last edited by hbghlyj 2025-5-4 01:58题目: 参照题图绘制图形
提问: 上色区域的面积=?

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hbghlyj Posted 2025-5-4 01:58

\begin{cases}\frac b{80-b}=\frac{a-b}{b-10}\\
\sqrt{(a - b)^2 + b^2} = 45\end{cases}面积≈463.7
  1. (a-b)b/2/.Solve[{b/(80-b)==(a-b)/(-10+b),Sqrt[(a-b)^2+b^2]==45},{a,b},Reals][[2]]
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