已知a,b,c属于R,a+b+c=0,abc>0,T=1/a+1/b+1/c,则________(答案T<0),证明,老师讲的,T=1/a+1/b1/c=-(a^2+c^2-ac)/abc,
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![已知a,b,c属于R,a+b+c=0,abc>0,T=1/a+1/b+1/c,则________(答案T<0),证明,老师讲的,T=1/a+1/b1/c=-(a^2+c^2-ac)/abc,](/uploads/image/z/3720015-63-5.jpg?t=%E5%B7%B2%E7%9F%A5a%2Cb%2Cc%E5%B1%9E%E4%BA%8ER%2Ca%2Bb%2Bc%3D0%2Cabc%EF%BC%9E0%2CT%3D1%2Fa%2B1%2Fb%2B1%2Fc%2C%E5%88%99________%28%E7%AD%94%E6%A1%88T%EF%BC%9C0%29%2C%E8%AF%81%E6%98%8E%2C%E8%80%81%E5%B8%88%E8%AE%B2%E7%9A%84%2CT%3D1%2Fa%2B1%2Fb1%2Fc%3D-%28a%5E2%2Bc%5E2-ac%29%2Fabc%2C)
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已知a,b,c属于R,a+b+c=0,abc>0,T=1/a+1/b+1/c,则________(答案T<0),证明,老师讲的,T=1/a+1/b1/c=-(a^2+c^2-ac)/abc,
已知a,b,c属于R,a+b+c=0,abc>0,T=1/a+1/b+1/c,则________(答案T<0),证明,老师讲的,T=1/a+1/b1/c=-(a^2+c^2-ac)/abc,
已知a,b,c属于R,a+b+c=0,abc>0,T=1/a+1/b+1/c,则________(答案T<0),证明,老师讲的,T=1/a+1/b1/c=-(a^2+c^2-ac)/abc,
a^2+c^2-ac=(a^2-ac+c^2/4)+3c^2/4
=(a-c/2)^2+3c^2/4
>0
abc>0
∴ T=1/a+1/b+1/c=-(a^2+c^2-ac)/abc