以弹性力学教学为背景，探讨对称性思想的内涵及其在典型问题中的应用．通过平面应变问题、直角坐标下简支梁弯曲问题以及极坐标下轴对称问题展示了对称性思想在具体求解中的应用方式与教学价值．对称性不仅能够有效降低求解复杂度，使学生更易掌握问题的数学结构，有助于学生从几何、荷载和边界条件等直观角度理解应力与位移分布规律．在教学实践中，将对称性作为分析问题和讲解案例的主线，可以增强学生的逻辑思维能力、建模意识及力学直觉，为课堂教学和典型问题讲解提供一定指导．

This paper discusses the role of symmetry in elasticity teaching and its application to representative problems. Three cases are considered: the plane strain problem, the bending of a simply supported beam, and axisymmetric problems in polar coordinates. These examples show how symmetry reduces computational complexity, highlights the mathematical structure of problems, and provides intuitive insights into stress and displacement distributions. In teaching practice, applying symmetry as a central theme not only facilitates problem analysis but also strengthens students’ logical reasoning, modeling skills, and mechanical intuition, offering useful guidance for classroom instruction.