Study On Function Analytical Questions In The Fujian Senior High School Entrance Examination

Function knowledge is an important part of junior algebra,the basis of high school mathematics learning and the main content of senior high school entrance examination.Because the lack of research on compilation of function analytical questions,this paper probes into the practical application of the method of compiling functional analytical questions in senior high school entrance examination,with emphasis on showing the train of thought process of compilation and the method of summing up the compilation,which is expected to provide reference for the compilation of functional analytical questions in senior high school entrance examination.Literature research method,case study method and interview method in this paper.Firstly,this paper combs the present research situation of senior high school entrance examination in nation through consulting the literature,grasps the development direction of function analytical questions,clarifies the categories of the function analytical questions,and understands the main methods of compiling questions.Secondly,this paper analyzes how to select excellent test questions from both qualitative and quantitative aspects.Through interviews with first-line teachers,the standard of selecting topics is properly modified and perfected to ensure its operability.Finally,this paper makes various types of function test questions,and asks first-line teachers to put forward valuable opinions and constantly revising the questions.There are four main parts in the conclusion of this paper.First,the Fujian senior high school entrance examination in 2017 shouldn't be using the same test paper all over the province so quickly,it should be based on different levels of education in different cities out of several sets of papers to be selected.The function of "guiding Teaching" in senior high school entrance examination leads to the upsurge of Learning and Inquiry problems.Second,the function analytical questions is divided into five categories.All questions with practical background are applied problems;Questions that allow students to read to understand unlearned knowledge belong to new definition problem;A question in which a function has a moving process belongs to function movie and transformation problem;The question of the intersection of function and geometric knowledge belongs to the function problem type of geometric;The question of the intersection of function and algebraic knowledge,such as Functions and inequalities,Function and equation etc.,which belongs to the function synthesis problem.Third,this paper from qualitative and quantitative aspects to establish the selection of test questions.Among them,application problems are mainly determined by mathematical characteristics,contextual features and task characteristics;The basic problems should be easy to understand,have simple operation and examines the basic knowledge of functions;The last item must can separate the better students from the poorer students,it has reasonable difficulty and high comprehensive degree also,which is a problem worth studying by students.According to these criteria,this paper selects excellent questions as the basis of the compilation.Forth,4 application problems and 1 new definition problem and 1 function movie and transformation problem and 1 function synthesis problem are compiled in this paper.Its emphasis is to show the process of compiling test questions,summarize the methods of compiling four kinds of questions,and discuss the problems and development direction of the function problem type of geometric.