Advances in International Applied Mathematics

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.

Core literacy of mathematics; Multiple solutions to one problem; Midline; Transformation