a,b,c大于0,证明a/b+c+b/a+c+c/a+b大于等于3/2a,b,c大于0 ,a/(b+c)+b/(a+c)+c/(a+b)大于等于3/2
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![a,b,c大于0,证明a/b+c+b/a+c+c/a+b大于等于3/2a,b,c大于0 ,a/(b+c)+b/(a+c)+c/(a+b)大于等于3/2](/uploads/image/z/1655917-61-7.jpg?t=a%2Cb%2Cc%E5%A4%A7%E4%BA%8E0%2C%E8%AF%81%E6%98%8Ea%2Fb%2Bc%2Bb%2Fa%2Bc%2Bc%2Fa%2Bb%E5%A4%A7%E4%BA%8E%E7%AD%89%E4%BA%8E3%2F2a%2Cb%2Cc%E5%A4%A7%E4%BA%8E0+%2Ca%2F%28b%2Bc%29%2Bb%2F%28a%2Bc%29%2Bc%2F%28a%2Bb%29%E5%A4%A7%E4%BA%8E%E7%AD%89%E4%BA%8E3%2F2)
a,b,c大于0,证明a/b+c+b/a+c+c/a+b大于等于3/2a,b,c大于0 ,a/(b+c)+b/(a+c)+c/(a+b)大于等于3/2
a,b,c大于0,证明a/b+c+b/a+c+c/a+b大于等于3/2
a,b,c大于0 ,a/(b+c)+b/(a+c)+c/(a+b)大于等于3/2
a,b,c大于0,证明a/b+c+b/a+c+c/a+b大于等于3/2a,b,c大于0 ,a/(b+c)+b/(a+c)+c/(a+b)大于等于3/2
a/(b+c)=(a+b)/2(b+c)+(a+c)/2(b+c)-1/2
b/(a+c)=(a+b)/2(a+c)+(b+c)/2(a+c)-1/2
c/(a+b)=(c+a)/2(a+b)+(b+c)/2(a+b)-1/2
三个式子相加,就可以分组使用均值不等式.