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构造函数法在高等数学中的应用
引用本文:陈春华. 构造函数法在高等数学中的应用[J]. 南阳理工学院学报, 2010, 2(6)
作者姓名:陈春华
作者单位:周口师范学院,河南,周口,466001
摘    要:证明等式和不等式是高等数学中的常见问题,证明方法也多种多样。论文通过几个例子,从研究题目的条件和结论入手,巧妙构造适当的辅助函数进行解题,既能简化证明,又能培养学生的创新思维能力。

关 键 词:构造函数法  不等式  变换  化归

THE APPLICATION OF THE METHOD OF CONSTRUCTED FUNCTION IN HIGHER MATHEMATICS
CHEN Chun-hua. THE APPLICATION OF THE METHOD OF CONSTRUCTED FUNCTION IN HIGHER MATHEMATICS[J]. Journal of Nanyang Institute of Technology, 2010, 2(6)
Authors:CHEN Chun-hua
Affiliation:CHEN Chun-hua(Zhoukou Normal University; Zhoukou 466001; China);
Abstract:Proof of equality and inequality is familiar question in higher mathematics, and corresponding proof method also varies. Based on several examples, the application of method of constructed function in higher mathematics is studied while proving equality and inequality in this paper. Starting with condition and conclusion of question, proper assistant function is constructed skillfully to solve the question. Results show that the method can simplify the proving process, and can cultivate students’ creative t...
Keywords:method of constructed function  inequality  conversion  transformation method
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