由可逆性谈数学解题中的逆向思维

Reverse Thinking in Mathematical Problem Solving

逆向思维是创造性思维的一种特殊形式,在数学解题中应用十分广泛.在多年的数学教学实践中,归纳可使用逆向思维方式有效解决数学问题的几点经验,并结合对实际数学问题的分析,阐述逆向思维是数学解题中值得深入研究的一种思维方式和策略.

Reverse thinking is a special form of creative thinking, which is widely applied in mathematical problem solving. Based on years of math teaching practice, some experience of it is summed up. Meanwhile, in association with the analysis of practical mathematical problems, it expounds that reverse thinking is a kind of way of thinking and strategy worthy of indepth study.