高考中简单线性规划问题的解法探讨

Study of Solution to Simple Linear Programming in College Entrance Examination

线性规划是近几年高考的必考内容,线性规划问题已成为近几年高考的热点问题。高考以考查线性目标函数的最值重点,兼顾考查代数式的几何意义(如斜率、距离、面积等),多以选择题、填空题以及解答题中的小题出现。本文主要介绍解简单线性规划问题中的图解法,并对近几年全国各高考试卷中出现的有关问题解法作一些探讨。

A simple linear programming is a necessary part for college entrance examination and it has become a hot problem in recent years. In the college entrance examination, optimal value of linear objective function, algebraic expression of geometry (e.g., slope, distance, area, etc.) can be examined in the form of multiple choice question, filling in the blanks and small items of answering questions. This paper mainly introduces the solution to graphical method of simple linear programming, makes a fur-ther study of solving problems related to national college entrance examination these years.