摘要
结合实例指出教材中多元函数条件极值求法的不严谨性,即求解多元函数条件极值的漏解现象。通过理论分析得到漏解的三个原因,并提出拉格朗日乘数法完整的解题步骤。该步骤也适用于求解多元函数条件极值的代入法。
This paper uses examples to point out the imprecision of some textbooks about the calculation of conditional extrema. This paper reveals three reasons why some solutions are conditional extrema points missing in these books. multiplier method, and This paper proposes a complete problem--solving procedure in using Lagrange presents examples to show the effectiveness of the proposed procedure.
作者
郝唯杰
薛波
刘植
HAO Weijie XUE Bo LIU Zhi(Department of Information Engineering, Hefei University of Technology, Xuanchen 242000, China School of Mathematics, Hefei University of Technology, Hefei 230009, China)
出处
《高等数学研究》
2017年第2期17-19,共3页
Studies in College Mathematics
基金
安徽省教学研究项目(2014jyxm021
2015jyxm035)
安徽省质量工程"名师工作室"(2015msgzs126)
