0<a/b<c/d, 求证:(b/(a+b))^1/2>(d/(c+d))^1/2

热心网友

0 d/(c+d) 0(b/(a+b))^1/2(d/(c+d))^1/2

热心网友

因为01/[（c/d）+1]0,即：b/(a+b)d/(c+d)0所以(b/(a+b))^1/2(d/(c+d))^1/2 本题也可用分析法证明