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分式的加减运算是分式学习中的重点和难点之一,而通分则是加减运算的关键.对于某些较复杂的题目,直接通分运算量过大,而且容易出错.如果我们从分式中拆出整式来,有时可能更简单!例1计算:(x+2)/(x+1)-(x+3)/(x+2)+(x-5)/(x-4)-(x-4)/(x-3).分析:本题如果直接通分.运算量比较大.观察可以发现.原式中分式的分子和分母都相差1.我们试着把这些“假分式”转化成“真分式”.看看能否更
Fractional addition and subtraction operations are one of the most important and difficult points in fractional learning, while passing points are the key to addition and subtraction operations. For some more complicated problems, direct and indirect operation is too large and prone to error. Example 1: Calculate: (x + 2) / (x + 1) - (x + 3) / (x + 2) + (x-5) / ( x-4) - (x-4) / (x-3). Analysis: If the problem directly pass if the amount of computation is relatively large. Observation can be found in the original fractional numerator and denominator are different 1. We tried Convert these “fake fractions ” to “true fraction ” to see if more