a+x^2=2011,b+x^2=2012,c+x^2=2013,abc=24 求a/bc+c/ab+b/ac-1/a-1/b-1/c

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a+x^2=2011,b+x^2=2012,c+x^2=2013,abc=24 求a/bc+c/ab+b/ac-1/a-1/b-1/c

a+x^2=2011,b+x^2=2012,c+x^2=2013,abc=24 求a/bc+c/ab+b/ac-1/a-1/b-1/c
a+x^2=2011,b+x^2=2012,c+x^2=2013,abc=24 求a/bc+c/ab+b/ac-1/a-1/b-1/c

a+x^2=2011,b+x^2=2012,c+x^2=2013,abc=24 求a/bc+c/ab+b/ac-1/a-1/b-1/c
b+x²-(a+x²)=b-a=2012-2011=1 b=a+1
c+x²-(a+x²)=c-a=2013-2011=2 c=a+2
abc=24
24=2×3×4
a=2 b=3 c=4
a/(bc)+c/(ab)+b/(ac)-1/a-1/b-1/c
=a²/(abc)+c²/(abc)+b²/(abc)-1/a-1/b-1/c
=(a²+b²+c²)/(abc)-1/a-1/b-1/c
=(4+9+16)/24-1/2-1/3-1/4
=29/24-12/24-8/24-6/24
=1/8