高中数学直线和圆的方程内容比较研究——以人教A版新旧教材为例
A Comparative Study on the Equation Content of Straight Lines and Circles in High School Mathematics—Taking the New and Old Textbooks of People’s Education Edition as an Example

教材是教师和学生展开教学活动的主要工具。比较研究新旧版本的教材，发现两版教材之间的异同，和新教材的编写特征，在帮助教师更好地理解和使用教材的同时也能更好地培养学生。本文选取人民教育出版社2019年出版的《普通高中课程标准实验教科书·数学(A版)》和2004年出版的《普通高中课程标准实验教科书·数学(A版)》中“直线和圆的方程”内容作为研究对象，在理清教材概念的基础上，对新旧教材的编排结构以及正文和例习题的情况进行比较分析。探究人教A版新旧教材之间的优缺点，进一步帮助教师和学生更好地利用教材完成教育学习工作。
Textbooks are the main tools for teachers and students to carry out teaching activities. A comparative study was conducted between new and old versions of textbooks, and the similarities and differences between the two versions, as well as the writing characteristics of the new textbooks, were found to help teachers better understand and use the textbooks while also better cultivating students. This article selects the content of “Equations of Lines and Circles” from the “Experimental Textbook for Ordinary High School Curriculum Standards—Mathematics (A Edition)” published by People’s Education Press in 2019 and the “Experimental Textbook for Ordinary High School Curriculum Standards—Mathematics (A Edition)” published in 2004 was taken as the research object. Based on clarifying the concepts of the textbook, a comparative analysis was conducted on the arrangement structure of the new and old textbooks, as well as the situation of the main text and example exercises. The advantages and disadvantages of the new and old textbooks in the People’s Education A Edition were explored, further helping teachers and students better use the textbooks to complete educational and learning work.