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分类讨论思想是初中阶段解决数学问题时常用到的一种数学思想,是教学难点,也是近几年中考的热门题型。分类讨论的分类原则为:对某些条件进行分类,要遵循同一标准;分类要完整,做到不重复,不遗漏;当分类不能一次完成,还要逐级分类,对不同级的分类,分类标准不一定统一。教师要把分类讨论思想方法的渗透与培养贯穿于教学中。教师要在概念和定义的教学中,在相关法则、定理、公式的教学中,在解题过程的教学中,培养学生分类讨论的思想。
The idea of classification and discussion is a kind of mathematics thought commonly used in the junior high school to solve mathematics problems. It is a difficult teaching point, and it is also a popular topic type in recent years. The classification principles discussed in the classification are: to classify certain conditions, to follow the same standard; to classify complete, do not repeat, not missed; when the classification can not be completed once, but also step by step classification, classification of different levels, classification Standards are not necessarily uniform. Teachers should permeate and train the ideas and methods of class discussion throughout the teaching. Teachers in the teaching of concepts and definitions, in the teaching of relevant laws, theorems, and formulas, in the teaching of problem-solving process, train students to discuss the ideas of classification.