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高等数学中一些常见不等式证明的教学问题剖析

Analysis of Teaching Problems of the Inequality Proof in Higher Mathematics in Finance and Economics Colleges

Theoretical Mathematics Study / 2021,3(1): 19-22 / 2021-03-18 871 639

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• Authors: 张付臣      张光云     
• Information:

  重庆工商大学数学与统计学院，经济社会应用统计重庆市重点实验室，重庆

• Keywords: 高等数学；不等式；教学方法；教学探讨
• Higher mathematics; Inequality; Teaching method; Teaching discussion
• Abstract: 面对财经类高校的大学生，本文探讨了不等式证明的一些常见方法，如拉格朗日 中值定理法、函数单调性方法、最大值和最小值方法等等，并且举例剖析，便 于学生比较和记忆，增强了教学和学习的效率，从而提高学生分析问题和解决 问题的能力。
• Facing the college students of finance and economics, this paper discusses some methods of inequality proof, such as Joseph-Louis Lagrange's mean value theorem method, function monotonicity method, maximum and minimum method, etc. , facilitate the students to understand and memory, enhance the efficiency of teaching and learning, so as to improve students'ability to analyze and solve problems.
• DOI: https://doi.org/10.35534/tms.0301004
• Cite: 张付臣，张光云．高等数学中一些常见不等式证明的教学问题剖析［J］．理论数学前沿， 2021，3（1）：19-22．