The application study of mathematics equation in senior middle school
高中数学方程的应用研究

摘要

方程思维是高中数学学习中一种重要的思维方法，在解决函数、三角函数、立体几何等问题时，都需要运用方程思维。数列的解题思路是一个值得研究的问题。学生在运用函数和方程的思想解题时，应避免陷入“恒等式”的困境。只有在解题过程中深刻理解函数和方程，才能提高学生解题的效率和准确性。本文首先对高中数学方程的研究进行整理分析，梳理高中数学教材中体现数学思想的知识点，了解数学思想在方程学习中的呈现方式。其次，了解高中学生运用数学思想解决方程问题的现状。旨在结合课堂实际，了解高中学生运用数学思想解决方程问题的现状，提出在方程学习中渗透和应用数学思想的策略与方法。

Abstract

Equation thinking is an important thinking method in high school mathematics study. It is necessary to apply equation thinking to solve problems such as functions, trigonometry, solid geometry, and sequence of numbers. It is a problem worthy of study. When applying the idea of functions and equations in the process of solving problems, students' should avoid falling into the "identity" situation. Only when students' can deeply understand functions and equations in the process of solving problems can students' improve the efficiency and accuracy of solving mathematical problems. Firstly, this paper organizes and analyzes the research on mathematical equations in high school, and sorts out the knowledge points that reflect mathematical ideas in high school mathematics textbooks to understand the presentation of mathematical ideas in equation learning. Secondly, to understand the current situation of high school students applying mathematical ideas to solve equation problems. Combining with classroom practice, it aims at understanding the current situation of high school students applying mathematical ideas to solve equation problems through putting forward strategies and methods for penetration and application of mathematical ideas in equation study.