函数是高中数学课程至关重要的学习内容之一,函数中蕴涵了多种数学思想方法,而分类讨论思想就是其中较为常用的数学思想方法之一。分类讨论思想实质上是一种“化整为零、各个击破、积零为整”的解题策略和方法。在求解高中函数问题时,同学们应明确分类讨论标准,掌握分类讨论思想的解题步骤与方法,巧妙迁移、灵活运用,从而简化解题思路,提高解题效率。一、明确分类标准,有的放矢在高中函数的学习过程中,分类讨论思 Function is one of the most important learning contents in high school mathematics curriculum. The function implies a variety of mathematical thinking methods, and the categorical discussion thinking is one of the more commonly used mathematical thinking methods. Classified discussion is essentially a kind of thinking “and” zero, each break, zero for the whole "problem-solving strategies and methods. When solving the problem of high school function, students should clarify the standard of classification, master the step-by-step method and method of solution to the discussion of classifications, skillfully migrate and apply flexibly, so as to simplify the problem-solving ideas and improve the efficiency of problem-solving. First, a clear classification criteria, targeted at the learning process of high school functions, classification discussion