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分类讨论思想是解决问题的一种逻辑方法,也是一种数学思想,这种思想在简化研究对象,发展思维方面起着重要作用,因此,有关分类讨论的思想的数学命题在高考试题中占有重要地位.那么何为分类讨论呢?所谓分类讨论,就是在研究和解决数学问题时,当问题所给对象不能进行统一研究,我们就需要根据数学对象的本质属性的相同点和不同点,将对象区分为不同种类,然后逐类进行研究和解决,最后综合各类结果得到整个问题的解决,这一思想方法,我们称之为“分类讨论的思想”.分类讨论的思想在哪些题型中能够得到运用呢?笔者根据平时
Category discussion is a kind of logical method to solve the problem, but also a kind of mathematical thought, which plays an important role in simplifying the research object and developing thinking. Therefore, the mathematical proposition about the thought of classification and discussion occupies an important position in the entrance examination questions So what is classified discussion? The so-called classification discussion, that is, in the study and solve mathematical problems, when the problem can not be a unified object to the study, we need to be based on the same nature of the mathematical properties of the mathematical objects and different points, the object Divided into different types, and then research and solve by class, and finally the results of various types of solutions to solve the entire problem, this method of thinking, we call it “classification of thinking.” Classification of ideas in which questions Can be used in? I according to usual