分式运算是代数式变换中的重要内容,常出现在数学竞赛中。分式的概念和性质与分数相似,而与整式区别交大。整式中的字母可以取任意值,而分式只有在分母不为零时才有意义。在研究分式变形、分式相等、分式方程等问题时,必须注意分式有意义的前提条件,而这前提条件往往被我们所忽视。下面以竞赛题为例,说明分式问题的解法。 Fractional operations are an important part of algebraic transformations and often appear in mathematical competitions. The concept and nature of fractions are similar to scores, and they differ greatly from integral ones. The letter in the whole formula can take any value, and the fraction only has meaning when the denominator is not zero. When studying the issues of fractional deformation, fractional equality, fractional equations, etc., we must pay attention to the meaningful preconditions of fractions, which are often overlooked by us. Let’s take the contest as an example to illustrate the solution to the fractional problem.