已知a,b,c是不全相等的正实数。求证；bc/a+ac/b+ab/c=a+b+c

a,b,c∈R+
由基本不等式x^2+y^2≥2xy
(bc/2a)+(ac/2b)≥2√[(bc/2a)(ac/2b)]=2√(abc^2/4ab)=c
(bc/2a)+(ab/2c)≥2√[(bc/2a)(ab/2c)]=2√(acb^2/4ac)=b
(ac/2b)+(ab/