A Study On Problem Solving Of Mathematical Derivatives In College Entrance Examination

A derivative is a very important concept in mathematics,it for high school and university study played an essential role.But because of the complexity of the derivative knowledge itself,abstract,and the development of students' thinking ability is not mature and teachers to the derivative problem solving teaching master does not reach the designated position,make student derivative problem solving is not so good.Therefore,the college entrance examination derivative problem-solving strategies on a thorough research,has very important significance.This research mainly sums up the strategies of solving the problem of college entrance examination,which mainly divides the two factors: firstly,through the questionnaire survey of high school students to master the situation,combined with the front-line teachers' interviews and teaching materials analysis and in recent years,Original title study to understand the current The direction of examination and the existence of students.In addition,the study of the various types of derivative college entrance examination questions summed up the corresponding problem-solving strategies.The main conclusions of this study are as follows:(1)a derivative is a tool for studying functional state problem,tangent,monotonicity,on the study of the function extreme value,the value and zero questions play a very important role;(2)the infiltration in the derivative test paper for combining,classification,discussion,function and equation,mathematical thought and method of zooming,construction method and other skills;(3)the higher mathematics in los will rule and Taylor expansion for derivative problem solving with the effect of the four two dial one thousand jins.College entrance examination outline clearly put forward: in accordance with the "examination of basic knowledge at the same time,pay attention to the ability to examine" principle,knowledge,ability and quality of the examination into one,a comprehensive test candidates mathematical literacy.And the derivative is to solve alot of mathematical problems in the key tools in the calendar year in the status of the college entrance examination is also very important.Therefore,the application of the derivative in the college entrance examination mathematical problem solving also becomes very meaningful.In this paper,through the analysis and research of the national volume index of the college entrance examination in recent years,some methods and strategies are summarized and hope to be helpful to college entrance examination candidates.