心理学研究表明:每一个思维过程都有一个与之相反的思维过程。逆向思维,是指和正向思维方向相反而又相互联系的思维过程,即我们通常所指的“反过来想一想”。逆向思维是与人们长期形成的思维习惯相悖的思维方式,孕育着创造性思维的萌芽。在数学史上,正是由于探求尺规三等分任意角的失败,才使人们从反面论证了其做法的不可能性。在教学中,充分认识逆向思维的作用,结合教材内容,重视对学生进行逆向思维能力的训练, Psychological research shows that: every thinking process has a contrary thinking process. Reverse thinking refers to the opposite and positive thinking of the opposite and inter-related thinking process, which we usually refer to “think the other way round.” Reverse thinking is a way of thinking contrary to the long-established thinking habits of people, which breeds the seeds of creative thinking. In the history of mathematics, it is precisely because of the failure to explore the tripartite arbitrary angle of the ruler that people have demonstrated the impossibility of their practice from the reverse. In teaching, fully understand the role of reverse thinking, combined with the content of teaching materials, emphasis on students ability to reverse thinking training,