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数学思维与知识是分析物理问题的基本方法和重要工具。通过一些物理特例论证了三角函数、二次函数、一元二次方程根的判别式、不等式、一次函数、等差数列等数学知识与方法在分析和求解物理习题时的应用,说明了在中学物理教与学过程中,如何渗透数学思维,从而运用数学知识来分析和处理物理习题的方法与技巧,旨在为中学物理教学提供一定的参考。
Mathematical thinking and knowledge are basic methods and important tools for analyzing physical problems. The application of mathematical knowledge and methods such as trigonometric function, quadratic function, discriminant of root of quadratic equation, inequality, linear function and arithmetic progression to the analysis and solution of physics exercises is demonstrated through some physical special cases. Teaching and learning process, how to penetrate mathematical thinking, and thus use mathematical knowledge to analyze and deal with physical exercises methods and techniques designed to provide some reference for physics teaching in high school.