Analysis of the Method of Constructor to Solve Middle School Mathematics Exam Questions
构造函数法解中学数学试题分析

摘要

构造函数解题是高考数学解题中常用的一种有效方法。在解决某些数学问题时，构造一个适当的函数，把问题转化为研究这个辅助函数性质的思想叫做构造函数思想。函数是数学知识的一个中心和基础，贯穿整个高中数学知识板块，方程可以看作是函数值为零的情况，不等式可以看作是两个函数之间的不等关系，函数图像可以作为研究函数性质的工具,进而解决一类有关问题。

Abstract

Constructor problem solving is an effective method commonly used in college entrance examination mathematics problem solving. When solving some mathematical problems, constructing an appropriate function and transforming the problem into the idea of studying the properties of this auxiliary function is called the idea of constructor function. Function is a center and foundation of mathematical knowledge. It runs through the entire high school mathematics knowledge section. An equation can be regarded as the case where the function value is zero, an inequality can be regarded as an unequal relationship between two functions, and a function image can be used as a research function. nature tools, and then solve a class of related problems.