专升本中的中值定理考试题规律探究

Study on Patterns of Mean Value Theorem Examination Questions in Upgrade from Junior

中值定理的教学是高等数学教学的难点,很多重要的考试都要考中值定理的证明题,研究生入学考试、专升本入学考试、高等数学考试等都有中值定理的证明题。四川理工学院专升本高等数学入学试题每年都有一道中值定理的证明题,难度较大,本文从1988年-2014年的高等数学入学试题进行分析、研究给出解题的三类规律。

The teaching of mean value theorem is a difficult point in advanced mathematics teaching. In many important tests such as the national entrance examination for postgraduate, the entrance examin- ation for upgrade from junior and advanced mathematics examinations, mean value theorem prov- ing problems are involved. Every year there must be a difficult mean value theorem proving prob- lem in advanced mathematics examination in Sichuan University of Science and Engineering en- trance examination for upgrade from junior. The paper, analyzes the advanced mathematics en- trance examinations from 1988 to 2014 in an attempt to offer three patterns for the problem solu- tions.