所谓数学反例教学,是指符合某个命题的条件而又不符合该命题结论的例子。简单地说,反例是一种说明某命题不成立的例子。一个数学真命题往往需要严密的证明,而假命题则靠反例加以鉴别。从教学上来讲,反例能够加深学生对正确结论的全面理解,令人印象深刻、过目难忘。1重视反例教学,培养学生思维的严密性在数学学习中,“观察一猜想一验证”是基本的思 The so-called mathematics counterexample teaching, is to meet the conditions of a proposition but does not meet the conclusions of the proposition example. In short, counterexamples are an example of a proposition that does not hold. A mathematical proposition often requires rigorous proof, while false propositions are identified by counterexamples. From a teaching point of view, counterexamples can enhance students’ overall understanding of the correct conclusion, impressive and unforgettable. 1 emphasis on counterexample teaching, cultivating the rigor of student thinking In mathematics learning, “observation of a guess a verification ” is the basic thinking