Teaching Research On Problem Solving Method Of Three-dimensional Geometry In High School

Three-dimensional geometry is not only the important content of mathematics teaching in our senior high school,but also has a pivotal position in the college entrance examination.High school mathematics teaching materials mainly integrate the comprehensive method and the vector method as the main line,to explain the content of three-dimensional geometry.Taking the examination content of three-dimensional geometry under "Conic curriculum standard" as the starting point,we study the methods of solving the three-dimensional geometric problem and its teaching,through the literature analysis,comparison,investigation and other research methods.The main content is as follows.Firstly,we analyze the college entrance examination(national version)about science mathematics from 2007 to 2016,and compare with the volume of Shandong Province and Shaanxi Province.As a result,we get the types of the examination and the knowledge points of the three-dimensional geometry,and the characteristics of the college entrance examination paper.Secondly,this part mainly compares the vector method and the comprehensive method through the typical examples,and summarizes the differences between the process of solving problem and their respective advantages and disadvantages.Thirdly,this part is about the teaching practice of the comprehensive method and the vector method.In actual teaching,through the test investigation,this paper analyzes the effect of using the Euclidean method and the vector method in different types of questions in three-dimensional geometric.The conclusion is that middle school students using the Euclidean method have a higher score when they prove the problem about vertical and parallel,and the students using the vector method have a higher score in problem of computing angle,which is verified through the teaching practice.And according to the findings in the practical teaching,this paper summarizes the common problems in the process of learning and applying the two methods.In view of these problems,some teaching suggestions are provided.