The Types Study Of Maximum And Minimum Value Problems In Senior Mathematics

Maximum and minimum value possesses the essential position in the system of mathematical curriculum,it also possesses the practical value in a large amount of fields that production technology,economic management,natural science.As one of the basic nature of the function,and the function involves a wide range of knowlege,it is causes that the contents despersed,the flexible solution,stronger comprehensive of maximum and minimum value problem,which brings great challenges for teaching;It is caused that not flexibility choose the problem-solving methods by the senior high school students lack the comprehensive understanding of types of maximum and minimum value problems,which cause to lost points seriously in the exam.Therefore,Systematically study maximum and minimum value problems is the key of solving this problems and the hard problem that this article emphasis to solve.This article mainly has completed three aspects:Firstly,it combs the most relevant concepts of maximum and minimum value by reviewing and analyzing the relevant literatures,and summarizes the ten fundamental ways;Secondly,it summarizes the nine types of maximum and minimum value problems according to oneself learning and teaching experience,which includes maximum and minimum value problems of the Quadratic function,maximum and minimum value problems of the trigonometric function,maximum and minimum value problems of the objective function,the constant setting of the inequality,the range of the parameter,maximum and minimum value problems of the series andmaximum and minimum value problems of the practical application,and gives the detailed problems solving method through the concrete example;Finally,According to the problems in the process of teaching practice,the author makes some suggestions about "teaching" and"learning",and provides specific programs for a good lesson through "maximum and minimum value of series" teaching design.