f(x)=-x^2+2x=-(x-1)^2+1f(x)的定义域和值域分别为[m,n]和[3m,3n]当n≤1时,f(x)在[m,n]上递增,那么f(m)=-m^2+2m=3m ==> m^2+m=0 f(n)=-n^2+2n=2n ==> n^2+n=0∵m当 m≤1当1 f(x)max=f(m)<1≠3n,不合题意;综上,m=-1,n=0