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摘要：在学生时代，校园里总流传着这么一句话：“物理好的人数学一定好”。此话虽说不是真理但还是有一定道理的。要不为什么大多的物理学家都是数学家呢？数学作为其他学科的工具，贯穿于整个物理研究和学习的过程中，为物理概念、规律的表述提供数学语言，为学生进行逻辑推理提供方法，为物理学中的定量分析和计算提供工具。中学物理《考试大纲》要求考生有“应用数学处理物理问题的能力”。本文通过收集各种资料，结合自己的亲身体会，首先明确问题提出的背景，然后介绍数学方法对物理的作用，接着介绍了几种中学物理里常会涉及到的数学方法及其用这些方法的原则和如何更好的让学生学会用数学方法处理物理问题。65707
Abstract:In the age of students on campus, there is always a sentence: "people who is good at physics is also good at math." This isn't the truth but there are still some truth. Why most physicists are mathematicians? Mathematics as a tool subject,it throughouts the physical study and research, it provides concise and precise mathmatical language for physical concept and law’s description.,and it provides an effective method for students' abstract thinking and logical reasoning, a powerful tool for the quantitative analysis and calculation in physics to make a clear request. The ability of students to apply the mathematics tool to solve physical problems in middle school physics "exam outline", require candidates to have the ability of applied mathematics problems in physics. In this paper,through the collection of the data,the data, combined with personal experience, first clear the background, and then introduces the function of mathematical methods in physics, then introduces the mathematical method involves several middle school physics and the principle of using these methods and how to make students learn to deal with physical problems
with mathematics method.
Keywords: Physics teaching ，Mathematical methods ，Physics of middle school
目 录
1 引言 4
2 数学方法是研究物理的一种重要工具 4
2.1 推动物理学的产生 4
2.1.1阿基米德——浮力定律和杠杆定律 4
2.1.2牛顿——动量守恒定理的产生 5
2.2 促进物理学的发展 6
3 用数学方法处理物理问题的实例分析 6
3.1初中物理涉及的数学方法 6
3.1.1函数图像 6
3.1.2不等式 7
3.1.3比例关系 7
3.1.4方程或方程组 7
3.2高中物理涉及的数学方法 8
3.2.1几何知识 8
3.2.2 三角函数 8
3.2.3均值不等式 9
3.2.4矢量三角形 10
4 运用数学方法处理物理问题的原则 10
4.1主次分明原则 11
4.2简明性原则 11
4.3科学性原则