Exploration of solutions to middle school mathematics examination questions from the perspective of core competencies- Thoughts on a final question in the Middle School Entrance Examination
核心素养视角下中考数学试题解法探究—关于一道中考压轴题的思考

摘要

中考数学试题直接影响着初中的数学教学，本文对一道2024年徐州市中考数学压轴题，采用一题多解的形式探讨几何中动态定值问题的解题策略，帮助学生在复杂的动态几何问题中抓住关键要素，建立几何模型，通过转化与推理解决问题，掌握求解几何定值问题的基本方法，以期培养学生一题多解的思维方式，提高分析问题，解决问题的能力；文章还从核心素养以及教学的视角进行解题总结与反思：教师要关注解题教学，把握问题本质，擅用一题多解，培养学生数学思维，帮助培养学生核心素养。

Abstract

The mathematics test questions of the high school entrance examination directly influence the mathematics teaching in junior high school. This paper explores the problem-solving strategies for dynamic constant value problems in geometry by using multiple solutions to a 2024 mathematics high school entrance examination question in Xuzhou City. It aims to help students grasp the key elements in complex dynamic geometry problems, establish geometric models, solve problems through transformation and reasoning, and master the basic methods for solving geometric constant value problems. The goal is to cultivate students' ability to solve problems in multiple ways, enhance their problem analysis and solving skills. The article also summarizes and reflects on the problem-solving process from the perspectives of core literacy and teaching: teachers should focus on problem-solving teaching, grasp the essence of the problem, skillfully apply multiple solutions, cultivate students' mathematical thinking, and help students develop core literacy.