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比和率數學題 !!!!!!
2009-07-06 10:49 pm
回答 (1)
2009-07-06 11:43 pm
✔ 最佳答案
Area(ACD) : Area(BCD) = 13 : 5Let x = DB
Let P:Q = Area(ACD) : Area(BCD)
Fix AC=13 & BC=5
=> AB^2 + BC^2 = AC^2 => AB=12
=> Area(BCD) = (BC)x(DB)/2 = 5x/2
& Area(ACD) = (DE)x(AC)/2 = (DB)x(AC)/2 (since DE=DB) = 13x/2
=>Area(ACD) : Area(BCD) = 13x/2 : 5x/2 = 13 : 5
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原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20090706000051KK01130