1.http://img337.imageshack.us/img337/5019/65175328.png
2.若(((2^2 )^2 )^2 )^...)=(((4^4 )^4 )^4 )^...)，已知有m個2,n個4及m及n為正整數，求 m/n 。
奧數問題2條Help me La(一)
2010-06-06 3:56 am
回答 (1)
2010-06-15 4:19 am
✔ 最佳答案
Consider the center of the circle is O , then CBA=ACB=45 degree
=>BAD = 45 degree
=>ODA = 45 degree
=>AOD = 90 degree
=> Area of ODA = (1/4)(pi)(m/2)^2= (1/16)(pi)(m^2)
=> Area of triangle BOD = (1/2)(m/2)(m/2)=(1/8)(m^2)
=> total area of the green area
=(1/2)(m)(m)-(1/8)(m^2)- (1/16)(pi)(m^2)+((1/16)(pi)(m^2)-(1/8)(m^2))
=(1/2)(m^2)-(1/4)(m^2)
=(1/4)(m^2)//
so n = (1/4)m^2//
收錄日期: 2021-04-15 22:41:23
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20100605000051KK01404