求最后答案，最好有过程
答案:3 悬赏:10
解决时间 2021-01-20 07:25
- 提问者网友：疯孩纸
- 2021-01-19 13:04
求最后答案，最好有过程
最佳答案
- 二级知识专家网友：有你哪都是故乡
- 2021-01-19 14:17
（c - a） / (a - b)(b - c) + (a - b) / (b - c)(c - a) + (b - c) / (c - a)(a - b)
= (c - a)2 / (a - b)(b - c)(c - a) + (a - b)2 / (a - b)(b - c)(c - a) + (b - c)2 / (a - b)(b - c)(c - a)
= [(c - a)2 + (a - b)2 + (b - c)2] / (a - b)(b - c)(c - a)
= [c2 - 2ac + a2 + a2 - 2ab + a2 + b2 - 2bc + c2] / (a - b)(b - c)(c - a)
= 2(a2 + b2 + c2 - ab - bc - ac) / (a - b)(b - c)(c - a)
= (c - a)2 / (a - b)(b - c)(c - a) + (a - b)2 / (a - b)(b - c)(c - a) + (b - c)2 / (a - b)(b - c)(c - a)
= [(c - a)2 + (a - b)2 + (b - c)2] / (a - b)(b - c)(c - a)
= [c2 - 2ac + a2 + a2 - 2ab + a2 + b2 - 2bc + c2] / (a - b)(b - c)(c - a)
= 2(a2 + b2 + c2 - ab - bc - ac) / (a - b)(b - c)(c - a)
全部回答
- 1楼网友：旧脸谱
- 2021-01-19 15:30
我暂时保留我的看法！
- 2楼网友：旧脸谱
- 2021-01-19 14:49
（c-a)/[(a-b)(b-c)]+(a-b)/[(b-c)(c-a)]+(b-c)/[(c-a)(a-b)]
=（c-a)/[(a-b)(b-c)]+(a-b)/[(b-c)(c-a)]+(b-c)/[(c-a)(a-b)]
=[（c-a)²+(a-b)²+(b-c)²]/[(a-b)(b-c)(c-a)]
=[c²+a²-2ac+a²+b²-2ab+b²+c²-2bc]/[(a-b)(b-c)(c-a)]
=[2(a²+b²+c²-ac-ab-bc]/[(a-b)(b-c)(c-a)]
=（c-a)/[(a-b)(b-c)]+(a-b)/[(b-c)(c-a)]+(b-c)/[(c-a)(a-b)]
=[（c-a)²+(a-b)²+(b-c)²]/[(a-b)(b-c)(c-a)]
=[c²+a²-2ac+a²+b²-2ab+b²+c²-2bc]/[(a-b)(b-c)(c-a)]
=[2(a²+b²+c²-ac-ab-bc]/[(a-b)(b-c)(c-a)]
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