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發表於 10-5-2008 21:22:10
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岩岩睇睇下諗到ge...
(其實一早已經睇過,不過到左今日先知BD唔係x,而係4....=.=
係CB果度向左伸延,
令到CBE係straight line,
AB⊥EC(by construction)
∠DBE = ∠C + 90度(ext. of )
∠DBE = ∠ABD + 90度
∴∠C=∠ABD
In △ABD and △BCD
∠ABD = ∠BCD (proved)
∠ADB = ∠BDC (given)
∠BAD = ∠CBD ( sum of )
∴ABD∫BCD(equiangular) (我搵唔到果舊打橫ge S,所以用打直ge黎頂住先....)
∴ AD/BD = BD/CD(corr. sides of ∫△s)
(AD/4)(12) = (4/12)(12)
3AD/3=4/3
AD = 4/3
The area of ABC
=(4/3+12)(4)/2
=(40/3)(2)
=80/3
[ 本帖最後由 tony2006uuu 於 12-5-2008 17:05 編輯 ] |
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