【摘要】 以转动参考系中质点约束运动为例，运用牛顿力学与分析力学方法，对比分析了不同参考系（惯性/非惯性、平动/转动）与坐标系（极坐标/自然坐标）中多元求解方法。通过“一题多解”教学，不仅揭示牵连运动、惯性力及相对运动之间的内在关联，系统整合了经典力学理论体系，而且深化对抽象概念的理解与原理方法的灵活应用，推动学习方式从“机械套用公式”转向“多元探索、思辨分析、主动建构”，促进学生发散性思维、批判性思维与解决问题的高阶能力发展。更多还原

【Abstract】 Taking the constrained motion of a particle on a rotating circular hoop as a case study,this paper systematically constructs and compares multiple solutions based on different reference frames,including inertial and non-inertial frames as well as translational and rotating frames,and different coordinate systems,including polar and natural coordinates,within the frameworks of Newtonian mechanics and analytical mechanics.The multiple-solution approach reveals the intrinsic relationships among transport motion,inertial forces,and relative motion.It also deepens students’ understanding of abstract concepts,promotes the systematic integration of classical mechanics,and facilitates the flexible transfer of problemsolving strategies.Furthermore,this approach integrates knowledge instruction with the cultivation of higher-order thinking,guiding students to move beyond mechanical formula application toward multi-perspective exploration,critical analysis,and active knowledge construction.Consequently,it helps develop students’ divergent thinking,critical thinking,and higher-order problem-solving abilities.更多还原