分类讨论是数学解题中的一种重要的思想方法和解题策略,是一种重要的数学能力,同时也是高考的重点内容.由于分类讨论一般过程较为冗长,叙述繁琐,且极易在完备性上造成失误,所以,教学中提倡在熟悉和掌握分类思想的同时,要注意克服思维定势,处理好“分”与“合”、“局部”与“整体”之间的辨证统一关系,充分挖掘求解问题中潜在特殊性与简单性,尽可能简化或避免讨论.以下是一些避免或简化分类讨论的策略. Classification discussion is an important way of thinking and problem-solving in mathematical problem solving, which is an important mathematical ability as well as the key content of the college entrance examination.Due to the general process of classification and discussion is lengthy, narrative is complicated and extremely easy to complete Sexual mistakes, therefore, advocated in teaching to be familiar with and grasp the classification of ideas at the same time, we must pay attention to overcoming the trend of thinking, to deal with the “sub” and “co”, “local ” and "To fully explore the uniqueness and simplicity of solving problems and to simplify or avoid discussion as much as possible.The following are some strategies to avoid or simplify the discussion of classification.