宏观与微观视角下高中数学教材关于“平面解析几何”的比较研究——以人教版、北师大版为例

Comparative Study of “Plane Analytical Geometry” in High School Mathematics from Macro and Micro Perspectives—Taking the Textbooks of People’s Education Press and Beijing Normal University Press as Examples

摘要: 平面解析几何在高中数学中占据重要地位，不仅是数学考试的重要部分，还能培养学生的空间想象力和逻辑思维能力，为进一步学习和应用打下基础。《普通高中数学课程标准(2017年版2020年修订)》发布后，教材进行改革，特别是人教版和北师大版教材影响广泛。故结合相关研究与教材特点，从宏观与微观角度比较2019年出版的人教版与北师大版教材，探讨新教材中关于“平面解析几何”的编写特点，在此基础上为教师教学提供建议。

Abstract: Plane analytic geometry plays an important role in high school mathematics, not only as an important part of mathematics exams, but also in cultivating students’ spatial imagination and logical thinking abilities, laying a foundation for further learning and application. After the release of the “General High School Mathematics Curriculum Standards (2017 Edition, 2020 Revision)”, textbooks underwent reforms, especially the People’s Education Press and Beijing Normal University Press textbooks, which have had a wide impact. Therefore, based on relevant research and textbook characteristics, this paper compares the 2019 People’s Education Press and Beijing Normal University Press textbooks from macro and micro perspectives, explores the writing characteristics of “plane analytic geometry” in the new textbooks, and provides suggestions for teachers’ teaching on this basis.