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数学学习是一种创造性思维活动,《普通高中新课程标准》加强了重要数学思想方法的渗透与概括,对学生的创新意识、创新能力提出了更高的要求.构造性思想与方法是解决那些见解独到、立意新颖的问题的重要方法之一.常见的构造方法有构造图形,构造模型,构造函数,构造算法,构造反例,构造多项式,构造数列等等,它常成为解题中实现转化的关键步骤.从解题实践经验中,我们体会到:构造性思维一要目的明确,即
Mathematics learning is a kind of creative thinking activity, and “Ordinary High School New Curriculum Standard” strengthens the infiltration and generalization of important mathematical thinking methods, and puts forward higher requirements on students’ innovative consciousness and innovative ability. Constructive thinking and methods are to solve those problems One of the most important ways to understand original ideas and novelty.The common methods of construction include constructing graphics, constructing models, constructing functions, constructing algorithms, constructing counterexamples, constructing polynomials, constructing sequences, etc., which often become the solution to the problem The key steps from the solution to practical experience, we understand that: a constructive thinking to be clear purpose, that is