随着课程改革的深入,“应试教育”向“素质教育”转变的过程中,对学生数学能力的培养尤为重要,特别是数学思想方法渗透是起着关键作用。而分类讨论是一种重要的数学思想,它体现了化整为零、积零为整的思想,变一般为特殊,变抽象为具体,使思维过程条理更加清楚。下面结合笔者多年 With the deepening of curriculum reform, the transformation of “examination-oriented education” to “quality education” is particularly important for the cultivation of students’ mathematical abilities. In particular, the penetration of mathematical thinking and methodology plays a key role. The classification discussion is an important mathematical thought, which embodies the idea that the whole is zero and the product is zero. As a result, it is generally special and abstracted as concrete, which makes the thinking process clearer. The following combination of author for many years