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极值问题是物理学习题中,培养应用数学知识解答物理问题的典型题目之一。本文以几个力学实例,介绍常见的极值问题的多种解法,希望能促进对极值问题的理解,培养学生求解极值问题的能力,有助于促进物理知识与数学知识的结合,加深对物理知识更深入理解。一、省力角问题例一,如图(一)所示:斜面与水平地面夹角为α。物体在外力F作用下向上运动,求
Extremum problem is one of the typical topics in the physics learning problem, the cultivation of applied mathematics knowledge to solve physical problems. This article uses several examples of mechanics to introduce various solutions to common extreme problems. It hopes to promote the understanding of extreme problems, develop students’ ability to solve extreme problems, and help promote the combination of physical knowledge and mathematical knowledge. Deeper understanding of physical knowledge. First, the example of the problem of saving angle, as shown in Figure (a): The angle between the slope and the horizontal ground is α. The object moves upwards under the action of external force F.