所谓教学中的反例就是与原有命题相矛盾的例子,通过改变或减少定义、定理(公理)或公式的条件,得出新的结论,与原有命题进行比较,使学生从中发现问题,理解原有正确命题。这样,反例就成为帮助学生加深记忆和理解的重要工具。在教学中适当使用反例,能点燃学生的灵感火花,掀起教学波澜,使课堂教学走出平淡,给课堂教学增色;体现教师的主导作用和学生的主体地位,对教学起着画龙点睛的作用,收到事半功倍的效果。在学生解题过程中,正确运用反例可以让学生以最快的 The so-called counterexample in teaching is an example that contradicts the original proposition. By changing or reducing the conditions of the definition, theorem (axiom) or formula, we draw new conclusions and compare it with the original propositions so that students can find problems and understand them. The original correct proposition. In this way, counterexamples have become an important tool to help students deepen their memory and understanding. The appropriate use of counterexamples in teaching can ignite the spark of inspiration for students, set off teaching waves, make classroom teaching out of the ordinary, and add color to classroom teaching; embody the dominant role of teachers and the main position of students, and play a crucial role in teaching, receiving Do more with less. In the process of student problem solving, the correct use of counterexamples allows students to take the fastest