1目录【摘要】............................................................1一、逆向思维是什么..................................................2二、如何培养数学逆向思维............................................2（一）数学基础知识教学中逆向思维的培养。........................21.加强定理、定义的再认识和逆理解，对定理、定义的内涵进行深度挖掘。32.注意公式、法则的逆应用，发现公式、法则间的互逆运算。.......43.对数学性质的逆变形熟练掌握，分析性质的应用规律。...........5（二）对解题中逆向思维应用的培养。..............................61.计算问题中逆向思维的培养。.................................62.证明问题中逆向思维的培养。.................................8三、结语...........................................................10致谢...............................................................11参考文献...........................................................121 对培养学生数学逆向思维的再认识逆向思维是从某个事物相反面思考的一种思想方法。在数学教学过程中，教师习惯性按照正向思维的方向展开教学，忽视逆向思维在数学学习中的重要作用培养学生数学逆向思维有利于学生打破思维定势，转变思考方向，提高逻辑思维能力，以实现核心素养下的发散思维和创新能力。教师要在数学基础知识和解题应用两类教学情境中，逐步培养学生利用逆向思维思考问题，能够做到将正向思维和逆向思维两者结合，灵活运用。【关键词】逆向思维；高中数学；培养 Re-understanding of Cultivating Students' Reverse Thinking in Mathematics[Absrtact]Reverse thinking is a method of thinking from the opposite side of something. In the process of mathematics teaching, teachers habitually carry out teaching according to the direction of positive thinking, ignoring the important role of reverse thinking in mathematics learning.Cultivating students' mathematical reverse thinking is helpful for students to break the thinking set, change the direction of thinking, and improve the ability of logical thinking, so as to realize the divergent thinking and innovation abilit...
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