a+b+c=0,abc=1,说明1/a+1/b+1/c小于0
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![a+b+c=0,abc=1,说明1/a+1/b+1/c小于0](/uploads/image/z/14678495-71-5.jpg?t=a%2Bb%2Bc%3D0%2Cabc%3D1%2C%E8%AF%B4%E6%98%8E1%2Fa%2B1%2Fb%2B1%2Fc%E5%B0%8F%E4%BA%8E0)
a+b+c=0,abc=1,说明1/a+1/b+1/c小于0
a+b+c=0,abc=1,说明1/a+1/b+1/c小于0
a+b+c=0,abc=1,说明1/a+1/b+1/c小于0
(a+b+c)^2
=a^2+b^2+c^2+2ab+2bc+2ac=0
ab+bc+ac=-(a^2+b^2+c^2)/2
1/a+1/b+1/c
=(ab+bc+ac)/abc
=-(a^2+b^2+c^2)/2