柯西不等式证(a+b+c)*(1/a+b+1/a+c+1/b+c)大于等于9/2

问题描述:

柯西不等式证(a+b+c)*(1/a+b+1/a+c+1/b+c)大于等于9/2
3Q

1/2(a+b+b+c+c+a)(1/a+b + 1/b+c)+1/c+a)≥1/2 * 3^2=9/2