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在解决数学问题的过程中,有一些问题很难整体性地转化为另一个熟悉的问题,而更容易等价地转化为几个比较熟悉的问题。这种“化整为零,各个击破”的解决问题的思想就是分类讨论。分类讨论就是“化整为零,各个击破”的解题策略,是实现问题转化的重要思想方法。掌握分类讨论的思想方法,首先必须做到概念清晰,并明确掌握公式与命题成立的条件,同时应具备一定的逻辑思维能力。
In the process of solving mathematical problems, some problems are difficult to translate into another familiar problem in a holistic way, and it is easier to transform equivalently into several familiar problems. This “rounding to zero, all break ” the problem-solving idea is classified discussion. Category discussion is “to zero, all break ” problem-solving strategy is an important way to achieve the transformation of the problem. Grasping the ways and means of class discussion, we must first do a clear concept, and clearly grasp the conditions for the establishment of formulas and propositions, at the same time should have a certain ability of logical thinking.