高考中考查分式函数的最值,常将此类问题“隐性”潜伏在其他函数、绝对值、不等式、圆锥曲线等知识中,呈现综合性强、式子结构复杂、解题方法多样、解法繁杂不一等特点.若对基本类型思考不深,“显性”通法运用不熟,学生往往不易确定最佳思路,造成费时或失分.本文拟分析2013年湖南卷理科数学第22题第(1)问的多解思路,并探求分式函数最值问题的五种处理策略,供高三同学参考. In the college entrance examination test the most value of the fractional function, often such problems “hidden ” lurking in other functions, absolute value, inequality, conic and other knowledge, showing a comprehensive, complex sub-structure, , The solution is complex and so on.If the basic types of thinking is not deep, “dominant ” pass the law is not familiar with, students are often not easy to determine the best way, resulting in time-consuming or lost.This paper is intended to analyze the 2013 Hunan Branch Mathematics 22 questions (1) ask many ideas, and explore the most value of the fractional function of the five treatment strategies, for the high school students reference.