计算:a/[(a-b)(b-c)]+b/[(b-c)(b-a)]+c/[(c-a)(c-d)]

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计算:a/[(a-b)(b-c)]+b/[(b-c)(b-a)]+c/[(c-a)(c-d)]计算:a/[(a-b)(b-c)]+b/[(b-c)(b-a)]+c/[(c-a)(c-d)]计算:a/[

计算:a/[(a-b)(b-c)]+b/[(b-c)(b-a)]+c/[(c-a)(c-d)]
计算:a/[(a-b)(b-c)]+b/[(b-c)(b-a)]+c/[(c-a)(c-d)]

计算:a/[(a-b)(b-c)]+b/[(b-c)(b-a)]+c/[(c-a)(c-d)]
原式=-[-a/(a-b)(a-c)-b/(b-c)(b-a)-c/(c-a)(c-b)]
=-[a/(b-a)(a-c)+b/(c-b)(b-a)+c/(a-c)(c-b)]
=-[a(c-b)+b(a-c)+c(b-a)/(b-a)(a-c)(c-b)]
=-[ac-ab+ab-bc+bc-ac/(b-a)(a-c)(c-b)]
=0