Research On Solving Function Problems In College Entrance Examination And Its Teaching Enlightenment

As one of the main lines of high school mathematics,functions run through the whole process of high school mathematics learning,and it is the most principal knowledge in high school mathematics,occupies a major position and plays an important role in the examination.However,due to the comprehensiveness and complexity of function knowledge,students have problems in function learning and question solving.In order to achieve the goal of optimizing function teaching and improving students’ ability to solve function problems.In this way,analyzing and solving function problems in college entrance examination will become the key at present.The national college entrance examination questions from 2016 to 2021 are the main research object of this paper.Firstly,it briefly introduces the research background,research problems,research significance and research methods,collects,arranges and carefully studies the relevant literature on function teaching,collect the latest literature and important achievements on function problems in senior high school,function problem solving and function problems in college entrance examination in recent years;Then,the functional test questions of the national college entrance examination are counted and classified according to the type of test questions,score distribution and test knowledge points,it is found that the function test questions have the characteristics of emphasizing foundation,strong comprehensiveness and flexible change.In addition,the students were tested and investigated in the internship class.Through the investigation,collect students’ practical problems in function learning and problem solving,and the collected information was analyzed.Then the questions are classified according to the knowledge points often examined by the college entrance examination function,refine the topic classification,and give the topic guidance process and solution ideas,the problem-solving steps are summarized,at the same time,it studies the relationship between college entrance examination questions and core mathematical literacy.Finally,the research results are summarized,and six teaching enlightenment are obtained:(1)refine the problem classification and form the guide map of function problem-solving steps;(2)Focus on the source tracing of function test questions based on the content of teaching materials;(3)Carry out variant training to strengthen the adaptability of function problem solving;(4)Combine with the difficulties of students in solving questions,write new problems and highlight the comprehensiveness of functions;(5)Improve students’ ability to solve function problems through reflection;(6)Emphasize the core quality and pay attention to cultivating students’ function thought.The research on solving function questions in college entrance examination plays a positive role in function teaching,improving their problem-solving ability and cultivate their core mathematical literacy.