Use The "Four Bases" To Interpret The Functions In The Senior Examination Questions

As an old topic,college entrance examination is an inevitable obstacle for educators.In today's quality-oriented education,college entrance examination is still an important way for us to select talents.Studying high exam questions and analyzing college entrance examination trends have important implications for teaching.As the foundation of high school mathematics,the function has always occupied a pivotal position in the college entrance examination,which is the largest part of the mathematics module.In the 2017 edition of the "Standards for General Senior High School Mathematics Curriculum",the series and derivatives are classified into functions and application themes.When the geometry and inequalities are deleted,the teaching tasks of the functions are greatly increased.It can be said that in the curriculum reform In the background,the function is still the most important part of high school mathematics.Based on the liberal arts college entrance examination mathematics examination paper,2007-2018,Heilongjiang province as the research samples,through data analysis function knowledge in the college entrance examination volume investigation and the distribution of test sites.With the basic knowledge,basic skills,basic ideas,basic activities experience the "four base" as the research direction,to explore the difficulty level and problem-solving ideas of functional test questions in the college entrance examination paper.The “four bases” in the function are an organic whole,interconnected,and promote each other.The basic knowledge and basic skills are the main carriers of teaching function.Mathematical thought is the essence of function teaching.The experience of mathematical activities is the sublimation of basic knowledge,basic skills and basic ideas in the process of learning functions.Together,the four build the knowledge system of mathematical functions in senior high school and guide the direction of the setting of the functional test questions in the college entrance examination.By using "four bases" to interpret the functions in high school examination questions,the knowledge framework of functions in high school is constructed,and the scientific teaching plan of functions is formulated,so that students can cultivate the core qualities of mathematics through the learning process of functions.