若a+x2=2003,b+x2=2004,c+x2=2005且abc=6012,求代数式c⼀ab+a⼀bc+b⼀ca-1⼀a-1⼀b-1⼀c的值.

2025-02-23 11:02:11
推荐回答(2个)
回答1:

a=2003-x^2,b=2004-x^2,c=2005-x^2
所以a=b-1,c=b+1
所以a/bc+b/ca+c/ab-1/a-1/b-1/c
=a^2/(abc)+b^2/(abc)+c^2/(abc)-bc/(abc)-ac/(abc)-ca/(abc)
=(a^2+b^2+c^2-bc-ac-ca)/abc
=1/2[(a-b)^2+(a-c)^2+(b-c)^2]/abc
=1/2*[1+4+1]/(abc)
=3/6012
=1/2004

回答2:

就是这样了 ,我也做过同样的题