文[1]和文[2]给出了一个分式不等式的多种证明方法,介绍的证明方法可谓个个“精妙绝伦”,笔者阅后颇受启发,惟一感到有点遗憾的是这些方法都不容易想到.本文介绍一种思路自然且易于操作的证明这类分式不等式的通法,供大家参考.例1(原文例题)已知x,y,z为正实数,求证:x2x+y+z+yx+ Articles [1] and [2] give a variety of proof methods for a fractional inequality. The proof methods introduced can be described as “exquisite exquisiteness”. The author is inspired by the review, but the only thing I feel a little sorry is that none of these methods are It is easy to think. This article introduces a general and easy-to-follow general method to prove this type of fractional inequality for your reference. Example 1 (original example) Known x, y, z is a positive real number, verification: x2x+y+ z+yx+