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在进行分式运算时,不少同学不注意有关的技巧,致使运算烦琐,甚至导致运算错误。本文就分式运算中的部分常用技巧进行点拨,希望同学们读后能有所收获。一、先约分后通分例1,计算:x~2y-y~3/x~3+x~2y-xy+x~2/x(x-y)-x~2-y~2/xy.点拨:本题如果对所有分母进行因式分解,容易确定最简公分母为xy(x+y)(x-y).若直接通分运算,分子间的运算就会变得相当复杂,容易产生错误.如果根据分式本身的特点把分子、分母中的公因式先
In fractional computing, many students do not pay attention to the relevant skills, resulting in cumbersome computing, and even lead to operational errors. In this paper, some commonly used techniques in fractional computing tips, hope that students can gain some reading. First, the first about points after the pass sub-example 1, calculated: x ~ 2y-y ~ 3 / x ~ 3 + x ~ 2y-xy + x ~ 2 / x (xy) -x ~ 2-y ~ 2 / xy. If we divide all the denominators by factorization, it is easy to determine that the simplest denominator is xy (x + y) (xy). If we directly divide the operations, the operation between molecules will become quite complex and prone to errors. According to the characteristics of the fraction itself, put the common denominator in the numerator and denominator first