分类讨论是高中数学中必须掌握的数学思想之一.掌握分类讨论的思想方法,有利于培养学生全面严谨的数学思维能力,使学生更有逻辑地分析、解决问题.然而,这种数学思想对于学生来说,难度较大,掌握情况并不理想.具体表现在:没有分类讨论的意识,不知道分类讨论的标准及讨论的内容,往往被不少学生视为拦路虎,不易过关.在解题实践中,对有些问题若能深入思考,克服 Classified discussion is one of the mathematical ideas that must be grasped in high school mathematics.Controlling the thinking and methods of class discussion helps to foster students’ rigorous mathematical thinking ability and enables students to analyze and solve problems more logically.However, Students, more difficult to grasp the situation is not ideal.This is reflected in the following: There is no awareness of the classification discussion, do not know the criteria for discussion and discuss the content, often considered by many students stumbling block, not easy to cross the border. In practice, if we can think deeply about some issues and overcome them