與monseigneur的解法類似,利用相似三角形帶來的比例性質
18/(x+18) = S_AEF/S_ACD = (AE*AF)/(AC*AD)
= AE/(AE+EC) * AF/(AF+FD)
= AG/(AG+BC) * AG/(AG+BD)
= (BH/2) / (BH/2+BH/3) * (BH/2)/(BH/2 + 2*BH/3)
= 9/35
因此
18/x = 9/(35-9) = 9/26
x = 52
亦解
所有跟帖:
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好!此題有多種解法
-萬斤油-
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12/21/2023 postreply
21:07:06
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漂亮!
-monseigneur-
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12/21/2023 postreply
21:35:24