更新1:
後面係9/(a+b+c)
不等式的証明
回答 (1)
2011-03-24 6:16 am
✔ 最佳答案
http://i1090.photobucket.com/albums/i376/Nelson_Yu/1-150.jpg圖片參考：http://i1090.photobucket.com/albums/i376/Nelson_Yu/1-150.jpg
2011-03-27 21:47:45 補充：
(a+b+c)/3 >= (abc)^(1/3) (this is AM >= GM)
(1/a+1/b+1/c)/3 >= (1/abc)^(1/3) (this is also AM >= GM)
=> (abc)^(1/3) >= 3/(1/a+1/b+1/c) (this is called harmonic mean HM)
So (a+b+c)/3 >= 3/(1/a+1/b+1/c) (the result is AM >= HM)
收錄日期: 2021-04-24 10:16:36
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20110323000051KK01165