构造法在数学中的应用.docVIP

PAGE II 构造法在数学中的应用 摘 要 解决数学问题的方法有很多，构造法是其中的一种基本方法.其本质是“构造”,该文从构造法在基础数学、数学分析、高等代数等方面入手，介绍构造法在数学中的应用，通过举例说明在对命题的论证时如何构造适当的数学问题.对其分析，说明，使学生能够从中得到启发，并掌握构造技巧和方法，达到培养学生创新思维和创造的能力. 本文构造方法主要有，如：从构造函数，构造反例，构造数学模型，图形，计算，代数，及方程，数列，矩阵等方法.通过具体事例简明的指出了构造法的关键以及理由.构造法在解决数学问题中应具有观察问题,分析问题，联想，转化等能力.其中转化与化归思想是高中数学的精髓思想，数学由于思维的局限，往往不能灵活的应用，教师在高中阶段教学中应注意培养学生构造图形,函数，方程，数列，向量等模型的能力，提高数学的综合素质. 关键词: 解题;构造法;伴随矩阵;数学模型;辅助函数  Abstract There are a great methods of solving the mathematics problems, Construction Method is one of the basic method. Its essence is the structure, the paper is from the structure in basic mathematics, mathematical analysis, advanced algebra and other aspects of construction law introduced in the mathematics application, through examples on how to demonstrate the proposition of constructing a suitable mathematical problems. Their analysis shows that students can get inspiration .Which is from of that, And mastery of construction techniques and methods, Which is aim to develop students creative thinking generative ability. The paper are the main of this construction method , such as : form the constructor, Construct counter-examples, constructed, mathematical model, graphics, computing,algebra and equations , series , matrix and other methods . Through specific examples and concise that the construction method of the key and reason .Construction method in solving mathematics problems should be observed and analyze problems, Lenovo, conversion and other capabilities. One of the Idea of transformation and the essence of mathematical thinking of high school mathematics as the limitations of thinking, often not flexible application, high school teachers teaching should be noted that students construct graphs, functions, equations, series, vectors and other models, raise the overall quality of mathematics. Key words： Answer math question; Constructive method; Accompanied matrix; Math ematics mode; Auxiliary function  目 录 摘 要………………………………………………………………………………………Ⅰ Ab