高中数学解题中的参数思想

高中数学解题中的参数思想

刘华， 数学计算机科学学院

摘 要：含参变量问题的研究，一直都是高中数学教学的重点和难点.数学中的常量和变量相互依存，并在一定的条件下相互转化，而参数正是介于常量和变量之间的具有中间性质的量，它的本质是变量，但又可视为常量，正是由于参数的两重性和灵活性，在分析和解决问题的过程中，引进参数沟通题目中各个变量之间的内在联系，就能表现出较大的能动作用和活力.参数思想作为一种重要的数学思想，在整个高中数学教学和解题中的应用极为广泛，是解决各类数学问题的有力工具.本文着重从参数思想的定义，以及在几种常见类型题目中的应用来分析及说明参数思想在高中数学解题中的重大作用.

关键词：高中数学；常量；变量；参数思想

Senior High School Math Problem-solving Idea of the

Parameters

LiuHua, School of Mathematics and Computer Science

Abstract：Parameter of the problem with research, has been teaching high school math and difficulty focusing. Math constants and variables of interdependence, and under certain conditions into each other, and the range of parameters is between constant and variable with the volume between the nature, its essence is variable, but can be regarded as a constant, is Yes because of the dual nature of the parameters and flexibility in analysis and problem-solving process, the introduction of the title parameter of communication inherent in all contact between the variables, we can show the dynamic role of the larger and vitality. Parameters thought of math as an important idea in the entire high school math teaching and problem-solving in a wide range of applications, to solve all kinds of math questions are a powerful tool. This article focused on the idea from the definition of parameters, as well as in several common types of applications subject to analysis and description of parameters of mathematical problem solving in high school thought of a major role.

Key words: senior high school math；constant；variable；parameters thought

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