Question

设m,n均大于零,且满足m+n-1/2求m/4+ n的最小值

Answer 1

问：设m,n均大于零,且满足m+n-1/2求m/4+ n的最小值

答：亲亲您好！答：m+n-1/2=1/n+2/m1/n+2/m=(1/n+2/m)×(m+n)×(1/2)=(m/n+2n/m+3)×1/2≥【[2√(m/n)(2n/m)]+3】×1/2=(2√2+3)/2最小值为=(2√2+3)/2，当且仅当m/n=2n/m时成立