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有许多数学问题,很难从整体着手解决,需从分割入手,把整体科学合理地划分为若干种情况,化为若干个局部独立的小问题,通过逐一地讨论,解决这些问题,从而达到整体问题的解决.这种重要的数学思想方法就是分类讨论的方法.在高中一年级数学“集合”这一内容中,许多问题都需运用分类讨论的数学思想方法来解决,但很多高一同学对这种方法却恰恰不太熟悉.这里略举数列,供同学们参考.希望同学们用心领会,逐步学会分类讨论这种重要的数学思想方法.
There are many mathematical problems that are difficult to solve from the whole. It is necessary to start with segmentation, divide the overall science and rationalization into several situations, and turn them into a number of partially independent problems. By discussing each one by one, these problems can be solved and the whole can be achieved. The solution to the problem. This important mathematical thinking method is the method of classifying and discussing. In the first grade of high school mathematics, the “collection”, many problems need to be solved by using the mathematics methods of classification discussion, but many high school students This method is just not very familiar with. Here is a series of numbers, for students to refer to. I hope the students understand carefully, and gradually learn to classify and discuss this important mathematical thinking and methods.