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分类与探讨思想是解决数学问题时常用的思想方法,通过对复杂多变的事物按照一定的标准进行恰当地分类,有助于学生更为准确完整地认识事物,恰当的分类应该是既不重复又不遗漏.设计分类讨论的情境实质上是一种“化整为零”各个击破的战略技术,现列举几例加以说明.
The classification and discussion of ideas is a commonly used method of thinking in solving mathematics problems. By classifying complex and changeable objects according to certain criteria, it helps students to understand things more accurately and completely. The appropriate classification should be neither repeatable. Not to be missed. The situation in which the design classification is discussed is essentially a strategic technology that breaks through to zero and breaks down. Here are a few examples to illustrate.