已知a>0,b>0,c>0且a+b+c=1,求证:(1)(1/a-1)(1/b-1)(1/c-1)≥8 (2)(1/a+1/b+1/c)≥9已知a>0,b>0,c>0且a+b+c=1,求证:(1)(1/a-1)(1/b-1)(1/c-1)≥8 (2)(1/a+1/b+1/c)≥9
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![已知a>0,b>0,c>0且a+b+c=1,求证:(1)(1/a-1)(1/b-1)(1/c-1)≥8 (2)(1/a+1/b+1/c)≥9已知a>0,b>0,c>0且a+b+c=1,求证:(1)(1/a-1)(1/b-1)(1/c-1)≥8 (2)(1/a+1/b+1/c)≥9](/uploads/image/z/7606226-2-6.jpg?t=%E5%B7%B2%E7%9F%A5a%3E0%2Cb%3E0%2Cc%3E0%E4%B8%94a%2Bb%2Bc%3D1%2C%E6%B1%82%E8%AF%81%EF%BC%9A%EF%BC%881%EF%BC%89%281%2Fa-1%29%281%2Fb-1%29%281%2Fc-1%29%E2%89%A58+%282%29%281%2Fa%2B1%2Fb%2B1%2Fc%29%E2%89%A59%E5%B7%B2%E7%9F%A5a%3E0%2Cb%3E0%2Cc%3E0%E4%B8%94a%2Bb%2Bc%3D1%2C%E6%B1%82%E8%AF%81%EF%BC%9A%EF%BC%881%EF%BC%89%281%2Fa-1%29%281%2Fb-1%29%281%2Fc-1%29%E2%89%A58+%282%29%281%2Fa%2B1%2Fb%2B1%2Fc%29%E2%89%A59)
已知a>0,b>0,c>0且a+b+c=1,求证:(1)(1/a-1)(1/b-1)(1/c-1)≥8 (2)(1/a+1/b+1/c)≥9已知a>0,b>0,c>0且a+b+c=1,求证:(1)(1/a-1)(1/b-1)(1/c-1)≥8 (2)(1/a+1/b+1/c)≥9
已知a>0,b>0,c>0且a+b+c=1,求证:(1)(1/a-1)(1/b-1)(1/c-1)≥8 (2)(1/a+1/b+1/c)≥9
已知a>0,b>0,c>0且a+b+c=1,求证:(1)(1/a-1)(1/b-1)(1/c-1)≥8 (2)(1/a+1/b+1/c)≥9
已知a>0,b>0,c>0且a+b+c=1,求证:(1)(1/a-1)(1/b-1)(1/c-1)≥8 (2)(1/a+1/b+1/c)≥9已知a>0,b>0,c>0且a+b+c=1,求证:(1)(1/a-1)(1/b-1)(1/c-1)≥8 (2)(1/a+1/b+1/c)≥9
1.1/a-1=[b+c]/a>=2根号bc/a,
三个*,(1/a-1)(1/b-1)(1/c-1)≥8
2.(a+b+c)*(1/a+1/b+1/c)>=3(abc)^1/3*3*(1/abc)^1/3=9
把1换成a+b+c 打开 使用基本不等式 懒得算 自己写吧 最基础的题目