如果横向思维着意于一个“广”字,纵向思维着意于一个“深”字,那么,逆向思维着意于一个“新”字。逆向思维运用在数学上,具有把数学问题化隐为显,化难为易,化繁为简的功效.下面笔者谈谈如何针对数学中的不同问题,运用逆向思维去有效的解决,供大家参考。 例1 计算:(a~8+b~8)(a~4+b~4)(a~2+b~2)(a+b)(a-b)。 析解 按照我们计算多项式乘法的常规 If the horizontal thinking is concerned with a “broad” word, and the longitudinal thinking is about a “deep” word, then the reverse thinking is focused on a “new” word. The reverse thinking is applied to mathematics. It has the effect of concealing the problems of mathematics, making it difficult to understand, and simplifying and simplifying. The following author talks about how to solve the problems in mathematics and use reverse thinking to solve them effectively for your reference. . Example 1 Calculation: (a~8+b~8)(a~4+b~4)(a~2+b~2)(a+b)(a-b). Analysis According to our calculation of polynomial multiplication