Study On The Solution Of Solid Geometry Probiems

Solid geometry is an important content of mathematics teaching in middle school,which is determined by the educational value of geometry,and solid geometry is an important part of college entrance examination,which belongs to the required questions,with a high proportion of scores.However,the effective solution of mathematical problems depends on the correct and appropriate solution methods.Therefore,in order to solve the current situation that students can't understand,solve or calculate the three-dimensional geometry problems,it is necessary to study the solution methods for the three-dimensional geometry problems.In order to adapt to the development of the times,the education of our country has carried out the curriculum reform,which improves and optimizes the teaching of solid geometry and changes the arrangement of the content of solid geometry.The course of solid geometry will focus on "parallel and vertical in space,logical relationship between them,application of vector method".Based on a large number of documents and the general senior high school mathematics curriculum standard(2017 Edition),this paper reviews the subject literature about the solution of solid geometry problems and the strategies in teaching practice at home and abroad,through the research status of solutions and strategies related to solid geometry at home and abroad for several years,and the teaching reform related to solid geometry in the curriculum plan(2017 Edition)By using the method of literature analysis,this paper defines the relevant concepts of the problem-solving methods of solid geometry problems,puts forward the significance of the research on the problem-solving methods,and paves the way for the follow-up research.This paper selects the national new curriculum standards I and II from 2010 to2015,the national new curriculum standards a,B and C from 2016 to 2019,and the national college entrance examination papers from 2014 to 2019 in autonomous proposition areas(Beijing,Zhejiang and Jiangsu)for comprehensive statistics,and adopts comparative,inductive and analytical methods to classify the three-dimensional geometry problems involved in the college entrance examination questions.The statistical contents include:(1)Examination outline;(2)common types and test pointsof objective questions and short answer questions;(3)knowledge points and solution methods involved in question types;(4)geometric model carrier of question stem.Through the quantitative analysis,it can be concluded that:(1)in the new curriculum standard,the examination scores of solid geometry are all 22 points,and the provinces of independent proposition are 14-28 points;(2)the questions are mainly based on the parallel and vertical position relationship between space straight line and plane,the calculation of out of plane angle or dihedral angle,and the calculation of volume and surface area.Through the comparison of the synthesis method and the vector method in the typical short answer questions in the college entrance examination papers,this paper analyzes the different emphasis of the two methods in terms of the thought method,the ability and the advantages and disadvantages of the two methods.This paper is written in the period of educational practice.Through communication with teachers,teaching practice and other ways,according to the existing theoretical basis and the high-frequency test points in the college entrance examination papers,the teaching design "dihedral corner",which involves modern information technology,hawkent Haojun dynamic mathematics software,and teaching based on the actual problems.And for the common problems in teaching,put forward the relevant teaching strategies.Using the five teaching strategies,the paper classifies the common three-dimensional geometry problems;(1)three views;(2)the position relationship between space straight line and plane;(3)the calculation of angle,distance,volume and surface area in three-dimensional space is put forward.Because the test questions of college entrance examination are authoritative,they are classified and evaluated,and they are solved by different methods such as comprehensive method and vector method.