摘要
辅助函数构造法是转化数学问题的重要手段,通过巧妙的数学转换,将复杂问题转化为一般问题,这种构造思想是分析高等数学问题数学思维的体现.文章通过厘清微分中值定理的内涵,在对微分中值定理证明过程中选取辅助函数的源头进行研究.从而启发学生进行知识迁移,挖掘思想方法,逐步加深对微分中值定理的理解,以提高课堂教学效果.
Auxiliary function construction method is an important means of transforming mathematical prob.lems.Through ingenious mathematical transformation,complex problems are transformed into gen.eral problems.This construction idea is the embodiment of mathematical thinking in analyzing higher mathematical problems.By clarifying the connotation of differential mean value theorem,se.lects the source of auxiliary function for teaching exploration in the process of proving the differen.tial mean value theorem.In this way,students can be inspired to carry out knowledge transfer,method of excavating ideas,gradually intensify their understanding of the differential mean value theorem and improve the classroom teaching effect.
作者
董姗姗
齐雪
DONG Shan-shan;QI Xue(College of information&Network Engineering ,Anhui Science and Technology University,Fengyang,Anhui 233100,China)
出处
《通化师范学院学报》
2019年第8期22-25,共4页
Journal of Tonghua Normal University
基金
安徽科技学院新工科校级专项项目(X2017078)
高等数学智慧课堂试点项目(Xj201722,zhkt176)
关键词
微分中值定理
辅助函数
构造函数
知识迁移
differential mean value theorem
auxiliary functions
structure functions
knowledge transfer
