Research On The Application Of Space Vector In Solving High School Solid Geometry Problems

With the new round of curriculum reform,the content of space vector in high school mathematics textbooks has been further improved,and has developed into a stage of self-contained system and independent chapter.Space vector itself has the dual identity of geometric form and algebraic form,which is a intersection point of high school mathematics knowledge.In particular,the use of space vector to transform the position relationship of some solid geometric elements into quantitative relations can transform some geometric proofs into numerical operations,so as to reduce the difficulty of students' learning.The introduction of space vector in senior high school,especially in solving the problem of solid geometry,has a great impact and impact on the traditional education mode and curriculum structure.The important value and role of the combination of space vector and solid geometry has been widely concerned by mathematics education circles.Many people in China have carried out a lot of theoretical exploration,but lack of attention An empirical study of front-line teachers and students.Combined with the background of the new curriculum reform,in-depth teaching line,focusing on students in the vector method to solve solid geometry problems,in order to better grasp the application of vector method in the future teaching of solid geometry,it is necessary to do a research on the students to solve the problems existing in the use of vector method and the teaching status quo.This paper takes all the science students and mathematics teachers of grade 2017 in Jilin Oilfield senior high school serve as the goal of exploration.Through literature analysis and questionnaire survey,this paper uses the method of combining quantitative and qualitative analysis to investigate the difficulties of students in learning vector basic knowledge,solving geometric problems by using vector andteachers' difficult problems in teaching According to the analysis results of this study,the following conclusions are obtained:(1)Students do not have a solid grasp of the basic knowledge of vector,and do not understand the basic theorem thoroughly;(2)In solving solid geometry problems with vector method,vector coordinates can't be labeled,coordinate operation is prone to errors,space imagination ability is poor and space problems will not be converted to vector calculation.(3)Some teachers neglect the vector concept teaching,and think that the teaching practice method is more suitable for the present examination oriented education,students' independent problem-solving ability is not paid attention to;(4)Some teachers don't understand vector's dual identity thoroughly,and most teachers don't pay attention to the infiltration of thinking methods in teaching;(5)The teaching difficulty is in the application of vector in solid geometry,students do not practice enough and do not correct problems in time.Finally,according to the existing problems,the following teaching strategies are proposed: first,strengthen the supporting teaching activities on the definition of vector basis,so as to ensure that students can effectively understand the core of vector;second,enhance the specific teaching work of vector coordinates and operation,stabilize the final practice results,ensure that students can effectively understand the corresponding vector essence;and enhance the coordination of coordinates and operations Set up teaching activities,stabilize the final contact system,improve the overall problem-solving literacy,and ensure that students can effectively recognize all kinds of knowledge of vector;the second is to enhance teaching literacy,enhance the initiative of participating in learning,pay attention to the integration of mathematical methods,so as to improve the final innovative thinking quality,and use diversified and personalized professional programs to achieve the goal of all kinds of problems The third is to pay close attention to the key value of vector method in the whole teaching system,so as to ensure that vector knowledge can be developed into all-round teaching wit and realize the expected teaching effect.Hope to play a positive role in the future teaching and contribute to the curriculum reform.