I反例及其在数学学习中的应用摘要 反例广泛应用于数学的学习当中．本文对反例的类型，作用和构造进行总结和研究，来加深对反例的思想和方法的认识与理解．本研究对反例的思想和方法的深入认识具有重要意义．通过采用文献法 ，文本分析法得出以下结论：根据证明不同类型的伪命题有不同的反例构造方法，并且给出相关的例题分析和求解过程．得到反例是证明伪命题和发现存在的错误的方法，构造反例是一项积极地创造性的思维活动．从而加深对反例的思想和方法有全面认识和深刻的理解．关键词 反例 作用 构造 类型 Counterexample and its application in Mathematics LearningAbstract Counterexamples are widely used in mathematics learning. This paper summarizes and studies the types, functions and structures of counterexamples, to deepen the understanding and understanding of the thought and method of counterexample. This study is of great significance to the in-depth understanding of the thought and method of counterexample. By using the method of literature and text analysis, the following conclusions are drawn: According to proving that different types of pseudo-propositions have different methods of constructing counterexamples, the process of analyzing and solving related examples is given. The method of getting counterexamples is to prove false propositions and to find the mistakes, it is an active and creative thinking activity to construct counterexample so as to deepen the comprehensive understanding and deep understanding of the thought and method of counterexample.Key words counterexample function structure types目 录引言.....................................................................................................................11 反例的定义.......................................................................................................22 反例的类型.................................................................................................
