论文部分内容阅读
近几年有些中考数学试卷中出现了利用逆向思维的试题,而大多数学生习惯于顺向思维,在分析、解答某些试题时还是采取综合法,按照条件出现的先后顺序进行思考,结果解题受阻、困难重重、运算庞杂,收效甚微。如果不按条件出现的先后顺序思考,而是改变思维方式进行逆向思维,从反方或结果出发逆向推理,逆用定理、公式及规律,往往可以使问题简单化,从而收到意想不到的成果。逆向思维是逆着习惯的、常规的思维方向进行的思维活动,属于创造性思维,是一种重要的数学思维。培养学生的逆向思维,就是培养学生敏捷的思维能
In recent years, some senior high school entrance examination papers appeared in the use of reverse thinking questions, and most students are accustomed to forward thinking, analysis, answer some questions or take a comprehensive approach, according to the order of conditions appear to think, the results of the solution Problems blocked, difficult, complex operation, with little success. If we do not follow the order in which conditions appear, we may change our way of thinking to carry out reverse thinking, reverse the reasoning from the opposite or the result, and reverse the theorems, formulas and laws, often simplifying the issue and receiving unexpected results. Reverse thinking is against the habit of thinking in the direction of conventional thinking activities, is a creative thinking, is an important mathematical thinking. Training students to reverse thinking, is to develop students’ quick thinking