Research On The Strategy Of Conic Curve Problem Solving Based On Bolia's Thought

As an important content of analytic geometry in high school,conic curve is a comprehensive knowledge that reflects students' mathematical operation and logical reasoning ability.It is beneficial to construct students' concept of problem solving to dig deeply into the conic curve problem-solving ideas.In this paper,combining with Bolia's idea of problem solving,using literature analysis method,examination paper analysis method,questionnaire survey method,interview method to make a further study on the conic curve problem solving strategy.The author has sorted out the real exam questions of the conic curve in the last ten years in order to thoroughly understand the Angle,law and examination points of the conic curve proposition in the college entrance examination.Then,the steps and strategies of solving conic curve are given from four aspects:definition,geometric properties,application and exploratory problems.In the fifth chapter,the author uses the form of questionnaire survey to understand the application status of conic curve problem solving strategy of senior high school students,and gives the investigation conclusion and reason analysis.Finally,on the basis of Chapter 4 and Chapter 5,the author puts forward teaching suggestions about problem solving strategies,and gives two teaching cases.Through the feedback of students after class,it is found that students like this teaching form very much,which indicates that the proposed teaching mode of problem solving has certain guiding significance.This research is based on the real college entrance examination questions and is oriented to students.Compared with the traditional static problem-solving strategy,the innovation of this paper lies in the combination of theoretical form and application form of problem-solving strategy,which provides a favorable reference for teachers' teaching and students' learning.Based on the requirements of curriculum standards,the examination of conic curve will be more diversified in the future,which requires that teaching should face students,have the courage to innovate,and students should have the courage to explore and be good at discovery.