证明 由题意知：a>b>c>0,则(a^(2a)*b^(2b)*c^(2c))/(a^(b+c)*b^(c+a)*c^(a+b))=(a^a*b^b*c^c)/(a^((b+c)/2)*b^((c+a)/2)*c^((a+b)/2))=(a^((a-b)/2+(a-c)/2))*(b^((b-c)/2+(b-a)/2))*(c^((c-a)/2+(c-b)/2))=((a/b)^(...