Learning Obstacles And Solving Strategies Of Analytic Geometry In Mathematics Of Senior High School

Analytic geometry is one of the important contents of high school mathematics,and it is also the knowledge point of college entrance examination,which contains many important mathematical ideas and methods.In the new round of teaching reform,although the teaching time of analytic geometry has been reduced,the teaching content has been increased.Therefore,in this part of learning,students are prone to learning problems that become obstacles to students solving analytic geometry problems.This requires that educators must be clear about how students learn about this part of the knowledge;how to understand the basic concepts;whether they master the Algebra of geometric problems;whether they can use vector method to solve problems;all those obstacles in the analytic geometry.In this paper,285 students of Guyuan No.2 Middle School were investigated by means of questionnaire and test questions,and their answers were stratified by SOLO classification.According to the analysis of the data,it is concluded that there are some problems in solving the problem of analytic geometry such as the psychological barrier to the analytic geometry study;the barrier to the understanding of the definition of conic curve;the barrier to the operation of arithmetic.Students can’t achieve the organic unity of geometry and Algebra and can not flexibly use mathematical thinking to solve problems.In the view of several questions above,the author provides the following countermeasures: Strengthening the study confidence,overcoming the affective barrier;creating the situation reasonably,making the classroom atmosphere harmonious,teachers and students working together,experiencing the harvest joy;attaching importance to the teaching material,consolidating the foundation;through reading the textbook,familiar with the concept of conic curve,through examples,exercises to deepen the understanding of the basic knowledge;through the thought of infiltration vector in calculating the eccentricity of conic curve and the fixed point problem,paying attention to the integration of vector and analytic geometry,the mathematical thought methods of infiltration number-shape combination,function and equation,classification discussion,etc.,cultivating students’ thinking ability to solve problems.