| Mathematical operation is the basic activity form of studying mathematical reasoning and deductive reasoning,which can help us get mathematical results.In the new curriculum reform,senior high school mathematics has increased the study of selective courses,reducing the burden for students with learning disabilities in analytic geometry.First of all,on the basis of extensive reference to various materials and documents,combined with my own teaching experience,this paper starts with the obstacles of senior high school students’ analytical geometry calculation,and puts forward the following questions in order to explore the ability of senior high school students to solve complicated calculation problems by using parametric equations and transform complicated calculation problems into simple geometry problems by using the combination of numbers and shapes:Where is selectivity reflected?Is parametric equation superior to general methods in solving analytic geometry problems? What are its advantages embodied in?Is the parametric equation method superior at any time?Can any problem of analytic geometry be solved by the method of parametric equation?Then,this paper adopts the methods of experimental inquiry and case study to investigate the change of calculation difficulty of solving difficult analytic geometry problems before and after students learn parametric equations.It mainly includes:The influence of students’ learning of parametric equations on the speed and accuracy of solving analytical geometry problems;The influence of students’ mathematics level on the speed and accuracy of solving analytical geometry problems by using parameter equations;The influence of students’ learning of parameter equations on the speed and accuracy of solving analytical geometry problems.Leads to some thoughts on the implementation of the curriculum reform scheme of teaching students in accordance with their aptitude: establishing the goal consciousness of college entrance examination;Establishing thinking teaching mode;Adhere to the principle of educating people and implement the "three-round education";Carrying forward the green vine culture style of our school: education fairness. |