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分类讨论思想是指在解决一个问题时,无法用同一种方法去解决,而需要将问题划分成几个能用不同形式去解决的小问题,将这些小问题一一加以解决,从而使问题得到解决,这就是分类讨论思想.有些数学问题在解答中,可能因为条件或结论不唯一确定,有几种可能性,也需要从问题的实际出发进行分类讨论.把被研究的对象分成若干种情况,然后对各种情况逐一进行讨论,最终得以解决整个问题,这种解决问题的方法称为分类讨论思想方法.它体现了化整为零与积零为整的思想,
The categorization and discussion ideology means that when a problem is solved, it cannot be solved in the same way. Instead, the problem needs to be divided into several small problems that can be solved in different forms. These small problems are solved one by one so that the problem is solved. The solution is to classify and discuss ideas. Some mathematics problems in the solution may be because the conditions or conclusions are not uniquely determined. There are several possibilities. They also need to be classified and discussed from the actual point of the problem. Divide the object under study into several cases. , and then discuss each case one by one, and finally solve the whole problem. This method of solving the problem is called classification and discussion of ideas and methods. It embodies the thought of zeroing and zeroing.