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一元二次函数图象和抛体运动的轨迹都是学生熟悉的抛物线,灵活应用抛物线的特点解决物理问题,可以简化解题过程,提高学生应用数学知识解决物理问题的能力,培养其思维品质的灵活性、创新性和严密性.在解题中,主要应用抛物线以下两方面的性质:①利用抛物线所对应函数的性质(增减性、最值等).②利用抛物线的几何特点(对称性、切线、割线等).如果从涉及到的内容来看,则在动力学、电学、能量与动量、光学等部分都有所应用,几乎涉及到了高中物理的全部内容.
The quadratic function image and the trajectory of the projectile movement are all parabola familiar to the students. The characteristics of the parabola can be flexibly used to solve the physical problems, which can simplify the problem solving process, improve students’ ability to apply mathematics knowledge to solve physical problems, and cultivate their thinking quality. Flexibility, innovation and rigor. In solving the problem, the following parabolic properties are mainly used: 1 The nature of the function corresponding to the parabola (increase/decrease, maximum value, etc.). 2 The parabolic geometry (symmetry) , tangents, secants, etc.) If we look at the content involved, then we have applications in the areas of dynamics, electricity, energy, momentum, optics, etc., which almost involve the entire content of high school physics.