Re: [中學] 難題
※ 引述《hau (小豪)》之銘言:
: https://imgur.com/a/dvJDA
: 如上圖
: 應有巧妙的解法......
AX = d, XB = c, BY = b, YC = a
3c/(c + d) + 9 = A/2
5b/(a + b) + 7 = A/2
bc = 8
bd + ad = 10
ac + ad = 6
=> ac + 4 = bd
24/(8 + bd) + 2 = 40/(ac + 8)
=> 12/(ac + 12) + 1 = 20/(ac + 8)
最後所求面積 = ac + 18 - 3 - 4 - 5
= ac + 6 = k
=> k = 2√21
過程是這樣,自己再驗算一下吧
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