从简单线性规划问题看梯度概念的教学引入  

Teaching Introduction of Gradient Concept from Simple Linear Programming Problem

作　　者：郭从洲[1] 刘倩[1] 王耀革[1] 张冬燕[1] 

机构地区：[1]信息工程大学基础部,河南 郑州

出　　处：《应用数学进展》2022年第3期1444-1449,共6页Advances in Applied Mathematics

摘　　要：本文从一个简单的线性规划问题出发,通过介绍高中数学的几何平移法、高等数学的最值求解法和最优化计算方法的图解法来分析梯度概念的引入和应用,让学生在回顾初等数学题目解法的同时,感受高等数学的魅力,体会数学思想方法建立过程中从特殊到一般,从简单到复杂的深刻过程,进一步建立学生分析问题、发现问题、解决问题的能力。Starting from a simple linear programming problem, this paper analyzes the introduction and application of the concept of gradient by introducing the geometric translation method, the maximum solution method and the graphical method of optimization calculation method, so that students can feel the charm of advanced mathematics while reviewing the solution of elementary mathematics problems, and experience the profound process from special to general and from simple to complex in the process of establishing mathematical thought method, and further build the ability for students to analyze, find and solve problems.

关 键 词：梯度 线性规划 最优化计算 

分 类 号：O221.1[理学—运筹学与控制论]