Multiple solutions to one question: fostering variation, enhancing common understanding, and boosting quality
一题多解促变式，强化通性提素养

摘要

从数学核心素养出发，以一道正方形为背景的几何题培养学生构造辅助线的能力，同时从多视角出发探究解题思路，并以此拓展，强化通性通法，以不变应万变,实现学生思维深、广度的发展，知识的融合以及学习本质的探究。

Abstract

Proceeding from core mathematical competencies, a geometry problem set within the context of a square is employed to foster students' skills in constructing auxiliary lines. Concurrently, it investigates solution approaches from various viewpoints and further extends these concepts to reinforce universal principles and methodologies. By maintaining consistency in the face of variation, this approach enhances the depth and breadth of students' cognitive development, integrates knowledge, and delves into the fundamental nature of learning.