相关变化率问题的求解方法及应用

Discussion on Solving Methods and Application about Problem of Relative Rate of Change

相关变化率问题是高等数学导数部分的一个内容。它广泛地存在于现实生活中。但目前的高等数学教材中,对这部分内容阐述得比较少,只是列举一两个例子,学生不能很好地了解相关变化率问题的应用,甚至对其求解方法感到困惑,因此极大影响了学生的学习兴趣和质量。该文旨在通过展示相关变化率问题的一些实际应用,重点介绍其求解方法,引导学生学会用数学的思维方式观察、分析、解决实际问题,以提高学生学习兴趣、学习质量。

Problem of relative rate of change is one of higher mathematics＇ derivative content, which exists widely in real life. But in the cur-rent higher mathematics textbooks, there is a few explanation about this pan, only lists one or two examples, students can not well understand solving methods and application, so students＇ learning interest and quality were affected significantly. Through showing several practical appli-cation of relative rate of change, the solving methods were introduced, in order to make students learn to use mathematical way of thinking to observe, analyze and solve practical problem, nromote students＇ interest in learning, improve learning quality.