The Research On Knowledge And Teaching Of Plane Analytical Geometry In High School

Plane analytic geometry is one of the important contents of high school mathematics curriculum.It embodies the important role of algebraic methods in characterizing plane curves,and contains important mathematical ideas.As an effective mathematical tool,it communicates the relationship between basic numbers such as numbers and algebra and algebra in mathematics,so that geometric problems can be transformed into algebraic operations to solve,and algebraic problems have become geometric background and become intuitive Easy to understand.As a part of the basic content and important ideas,it is the expansion of the geometric content of junior high school,the inheritance of learning,the diversification of the method,and the fact that the students continue to enter the institutions of higher learning to learn linear algebra,Calculus,spatial analysis geometry should have the basic skills.However,most of the schools and teachers are pursuing the rate of enrollment in one fell swoop,while ignoring the law of spiraling knowledge and the gradual learning rules of students,the middle school students who have begun to analyze geometry are fearful and lose their confidence in geometric learning.This paper mainly focuses on the geometric content(science)of high school plane as the main research object,analyzes the research background,puts forward the purpose and significance of this paper,summarizes the research ideas and methods.Firstly,according to the high school mathematics teaching materials,Teaching requirements,as well as the last three years of mathematics in the national volume involved in the plane analysis geometric test and proposition trends;truthfully on the plane analysis geometry teaching status and problems of investigation,for teachers in the process of geometric geometry analysis of the doubts and Condition,combined with the students in the study plane to analyze the geometry of the exposed problems,analyze the data and draw conclusions.Finally,the author uses the teaching theory,combined with the specific practice experience,summed up the teaching strategy to guide the teaching practice.And enumerate the teaching examples to implement teaching strategies,apply the educational media to explain,make the graphics rich and intuitive,and then improve the quality of teaching in the classroom;enumerate the plane analytical geometry in mathematics competitions,universities and other applications,broaden students' horizons,A deep understanding of the analytical method of analytical geometry.