如何提高微分中值定理的利用率

On Increasing Utilization Rate of Mean Value Theorems of Differentials

微分中值定理是导数应用的理论基石,是学好高等数学的敲门砖。但教师在教学实践发现,学生对微分中值定理的理解以及选择利用这些定理去解决实际问题存在困难。因此师生需要对微分中定理之间的区别与联系进行分析,筛选定理中的信息去解决一些实际问题,提高学生的分析问题、解决问题的能力,提高学生的数学综合素质。

The mean value theorems of differentials are not only the theoretical cornerstone of the applications of derivatives but also the key to learning advanced mathematics. However, it was discovered in the teaching process that students had difficulty in understanding the mean value theorems of differentials and solving practical problems by utilize these theorems. Therefore it is necessary for teachers and students to analyze the differences and relations among these theorems so as to screen much effective information for resolving some problems. In this way, the students＇ abilities in analyzing and solving problems can be improved and the students＇ comprehensive qualities in mathematics promoted.