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二元函数极值计算中错解分析
Mistaken Solution Analysis of Minimax Value Calculation in Two-variable Function
【摘要】 选取典型例题,指出了二元函数极值计算中易犯的错误,如用拉格朗日乘数法求极值时,没有搞清辅助函数与原二元函数的关系,又如没有正确理解二元函数极值存在的充分条件,再如求二元函数的最值时没有注意边界点的讨论,针对这些常犯的错误,利用二阶微分或几何图形进行了分析,并给出了正确的解法.
【Abstract】 Based on selected typical examples,this paper pointed out mistakes that often aremade in computing minimax value of two-variable function.For example,when computingminimax value with Lagrange’s method of multiplies,the relation between assistant functionand primitive two-variable function is not comprehended,the sufficient condition of minimaxvalue existence in two-variable function is not understood correctly as well.More over,thediscussing of bound point in two-variable function maximzing is not took care,This paper anal-yses these mistakes with two order differential expression and geometrical graph,and gives thecorrect solutions.[
- 【文献出处】 北京联合大学学报 ,JOURNAL OF BEIJING UNION UNIVERSITY , 编辑部邮箱 ,1995年01期
- 【分类号】O241.8
- 【下载频次】180