已知a/b=c/d,求证(b-a)/b=(d-c)/d

问题描述:

已知a/b=c/d,求证(b-a)/b=(d-c)/d

a/b = c/d
1 - a/b = 1 - c/d
(b-a)/b = (d-c)/d是九年级的题目a/b = c/d等式两边同乘 -1:-a/b = -c/d等式两边同加 1:1 - a/b = 1 - c/d通分:(b - a)/b = (d - c)/d结论成立。谢谢了! 好评