Analysis And Research Of Vector Type In College Entrance Examination

Vector is the bridge between geometry and algebra,is an important content in high school mathematics,but also the required content of the annual college entrance examination,especially compared to the plane vector,the examination of space vector is a relatively easy score point.Plane vector provides a new way to solve the problem of plane geometry,and space vector opens a new way to solve the problem of solid geometry.How to grasp this score point is a key problem for students' ability to solve problems and teachers' teaching ability.Through the analysis and research of vector problem type in college entrance examination,this paper can make students have a deep understanding of vector,so that they can learn more deeply,and can master the problem type and problem solving method of vector in college entrance examination,and better understand the mathematical thought among them,but also cultivate students' ability to think,analyze and solve problems.Firstly,this paper looks up the relevant literature,studies the existing research results at home and abroad carefully,and expounds the position of vector in college entrance examination according to the requirements of plane vector and space vector and mathematics curriculum standard(experiment)and outline of college entrance examination.Secondly,according to the statistics and analysis of the scores of vector and test points in the science questions of the national college entrance examination in the last five years,each type of problem of vector in the college entrance examination is classified,analyzed and solved,and the method is summarized from the process of solving the problem.The mathematical thought method is inseparable from the mathematical thought method,and the mathematical thought method is also the soul of the mathematical knowledge system.Therefore,in the fourth chapter,this paper summarizes and refines the three mathematical thinking methods used in solvingproblems: the combination of numbers and shapes,the thought of functions and equations,and the thought of transformation,and transformation.Writing a teaching case about dihedral angle,the calculation of dihedral angle not only reflects the instrumental nature of vector,but also the transformation of vector language and solid geometry language,in addition,the combination of numbers and shapes and the idea of transformation are applied in the teaching process.Finally,three teaching strategies are proposed :(1)highlighting the instrumental nature of vectors;(2)strengthening the understanding of the essence of vectors;and(3)attaching importance to the flexible transformation of vectors with other languages.