毕业论文--浅谈公式变形在中学数学中的灵活应用.doc

浅谈公式变形在中学数学中的灵活应用 宁夏师范学院 左旭东 摘 要： 在数学知识体系中，基本公式是重要的基础要素之一，在一般前提下，许多问题可以直接运用基本公式便能解出来，但由于给定条件不同、问题的类型不同及学生的掌握程度不同，就很难直接运用基本公式解题了，需要根据给定条件，对基本公式加以适当的等价变形，找到解题的捷径.将公式巧妙变形之后再用，不仅能使解题过程简捷，令人有赏心悦目之美感，使学生避免沿袭思维的惯常定势,创思维Discussion formula deformation in the flexible application of the secondary school mathematicsAbstract: The mathematical knowledge system, the basic formula is one of the important basic elements of the general premise of many of the problems can be directly applied the basic formula will be able to solved the problem, but due to the given conditions, the type of problem and the students mastery of , it is difficult solving the direct application of the basic formula, according to the given conditions, the basic formula to be the equivalent deformation, to find a shortcut of the problem-solving. Formula cleverly deformation and then, not only make the problem solving process is simple, it is pleasing beauty, but also enable students to avoid follow the thinking of the usual stereotypes, and develop their creative thinking, reverse thinking and inquiry ability. Now widely used formula for deformation in the calculation of the college entrance examination subject. Famous mathematics educator Polya once said: a focus on serious lesson planning teacher can come up with a mathematical formula to help students explore the problem-solving function. Now intended to train high school students formula deformation capacity has become a secondary school teacher bounden task, teachers should be actively looking for and summed up the own deformation method and the ingenious application of the formula. We must first, in order to better help students improve their problem-solving ability to deal with a variety of exam questions, this article on the multiplication formula, trigonometric formulas, the recurrence formula of the basic deformation, through the example of France Talking about the formula deformation flexible application of mathematics in secondary schools.K