a+x.x=2005 b+x.x=2006 c+x.x=2007,abc=6021,求a/bc+b/ca+c/ab-1/a-1/b-1/c的值这题把头都会想破,高手们帮我做做,

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a+x.x=2005 b+x.x=2006 c+x.x=2007,abc=6021,求a/bc+b/ca+c/ab-1/a-1/b-1/c的值这题把头都会想破,高手们帮我做做,

a+x.x=2005 b+x.x=2006 c+x.x=2007,abc=6021,求a/bc+b/ca+c/ab-1/a-1/b-1/c的值这题把头都会想破,高手们帮我做做,
a+x.x=2005 b+x.x=2006 c+x.x=2007,abc=6021,求a/bc+b/ca+c/ab-1/a-1/b-1/c的值
这题把头都会想破,高手们帮我做做,

a+x.x=2005 b+x.x=2006 c+x.x=2007,abc=6021,求a/bc+b/ca+c/ab-1/a-1/b-1/c的值这题把头都会想破,高手们帮我做做,
你的“x.x”是x^2吗
b-a=c-b=1,c-a=2
原式=(a^2+b^2+c^2-ab-bc-ac)/abc
=[(a-c)^2+(a-b)^2+(b-c)^2]/(2abc)
=1/2007

由已知得:b-a=c-b=1,c-a=2
a/bc+b/ca+c/ab-1/a-1/b-1/c
=(a^2+b^2+c^2-ab-bc-ac)/abc
=2(a^2+b^2+c^2-ab-bc-ac)/2abc
=[(a-c)^2+(a-b)^2+(b-c)^2]/(2abc)
=(4+1+1)/2*6021
1/2007