论文部分内容阅读
构造对偶式,是指在解题过程中抓住代数式的结构特征,构造一个与其结构相似或相近并具有某种对称关系的代数式,而后通过对这组对偶关系式进行加、减、乘、除等运算,促使问题的转化与解决.构造相应的对偶式,使其结构更加均衡,体现了数学的对称美和构造美.下面我们通过实例来介绍构造对偶式的几种常用方法,以及如何对所构造的对偶关系式进行合适的处理.
Constructing duality refers to taking the algebraic structure features during the process of solving a problem, constructing an algebraic formula that is similar to or similar to the structure and having a certain symmetry relationship, and then adds, subtracts, multiplies, and divides the set of dual relationships. Equal operations, to promote the transformation and solution of the problem. Construct the corresponding duality, make its structure more balanced, embodies the symmetry of beauty and structural beauty of the mathematics. Here we use examples to introduce several common methods of constructing duality, and how to Construct a dual relationship for proper processing.