数理融合背景下初中物理浮力计算一题多解教学研究

摘要：初中阶段浮力问题涵盖压强这一核心理解层次，因其物理对象非单一、公式体系庞杂且选择困难，加之常与胡克定律及升降台等装置组合，往往构成初中力学领域的关键难点。通过提炼对应情境的核心知识，并借助运动的相对性、比例法及等效法明确解题思路，结合浮力原理、受力分析与力的平衡条件，便可有效求解，使学生获得攻克难题的成就感。同时，学生在尝试不同解题方法的过程中，能够锻炼思维的灵活性与创造性。
关键词：数理融合；初中物理；一题多解；浮力计算

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Research on Multi solution Teaching of One Problem of Buoyancy Calculation in Junior
High School Physics under the Background of Mathematical Integration

The buoyancy problem in junior high school covers the core understanding level of pressure. Due to its non singular physical object, complex formula system, and difficult selection, coupled with its frequent combination with Hooke's law and lifting platform devices, it often constitutes a key difficulty in the field of junior high school mechanics. By extracting the core knowledge of the corresponding context and using the relativity, proportionality, and equivalence methods of motion to clarify the problem-solving approach, combined with the principles of buoyancy, force analysis, and force balance conditions, effective solutions can be obtained, giving students a sense of achievement in overcoming difficult problems. Meanwhile, students can exercise their flexibility and creativity in thinking by trying different problem-solving methods.
Keywords: Mathematical integration; Junior high school physics; Multiple solutions for one problem; Buoyancy calculation