《全日制义务教育数学课程标准》指出:要让学生通过具体的例子理解反例的作用,知道用反例可以证明一个命题是错误的。在初中教学中,反例的构建是一种非常重要的教学手段和方式,反例教学有极其重要的作用,它在发现和认识数学真理,强化数学基础知识的理解和掌握,提高学生解题速度等方面,有着不可低估的 The “Mathematics Curriculum Standard for Full-time Compulsory Education” points out that students should understand the role of counterexamples through specific examples, and know that counterexamples can prove that a proposition is wrong. In junior middle school teaching, the construction of counterexamples is a very important teaching method and method. Counterexample teaching plays an extremely important role. It discovers and understands the truth of mathematics, strengthens the understanding and mastery of basic mathematics knowledge, and improves students’ speed of problem solving. On the other hand, it cannot be underestimated.