数学解题与数学发现一样,通常都是通过类比,特别是通过形式结构上的类比联想,获得解题方法,对某些结构形式对称的数学问题,可通过字母的替换,相反数的替换,或补成更为完整的整体,构造一个与原式类似的式子,使得它们经过某些运算能产生一些简洁有效的结论,从而促使问题的转化和解决,我们把这种解决问题的方法称为构造对偶式法. Mathematical problem solving and mathematical discovery, usually through analogy, especially through the analogy of analogy in the form of structure, to solve problem-solving methods, mathematical problems for certain structural forms of symmetry, can be replaced by letters, instead of the number of substitutions, Or make up a more complete whole and construct a formula that is similar to the original formula, so that they can produce some concise and effective conclusions after certain operations, thus prompting the transformation and solution of problems. We call this method of solving problems To construct the dual method.