分类讨论思想是高中数学中的重要数学思想之一,也是历年高考考查的重点.在重视分类讨论思想运用的基础上,应防止见参数就讨论的轻率做法,能整体解决的就不分类讨论,树立辩证的解题观点,使分类讨论的应用更合理,解题更高效.简化和避免分类讨论的优化策略一般有以下几种.一、直接回避当数学问题情景所描述的情况较多时,可运用求补法,如 Classification thinking is one of the important mathematical ideas in high school mathematics, and also the focus of the college entrance examination over the years.On the basis of focusing on the application of the theory of classification and discussion, we should prevent the arrogant practices of discussing the arguments and the overall solution, To establish a dialectical point of view of the problem, so that the application of the classification is more reasonable and more efficient problem-solving to simplify and avoid the classification of optimization strategies generally have the following: First, the direct avoidance When the math problem scenario describes the situation more Use the complement method, such as