Research On Solving Solid Geometry Problems By Vector In High School Students

Vector algebra as a very important part of the dual nature of both geometry and algebra,introducing space vector offers a new way of thinking in high school in solving problems in solid geometry. This paper to Hebei Shenzhou City high school sophomore class five and seven two class of students as the research object, using the method of literature research,questionnaire survey method, interviews and other research methods, in, on the basis of relevant theories on the three-dimensional geometry, vector space and so on the basic concept and value of a series of detailed discussion, and detailed analysis of the links between the vector space and solid geometry and practical application. In this paper, the combination of quantitative and qualitative analysis method questionnaire survey to design, eventually come to the conclusion of this paper and put forward the vector method to solve the solid geometry in senior high school teaching suggestions. Through the study reached the following conclusions:(1) Students’ Space Imagination lack of capacity. Investigation for High School sophomore class five and seven to show different levels of students there is a deviation of the same knowledge understood reasons for the formation of this deviation is multifaceted,including both basic differences between students, including students space vector lack of recognition.(2) students of computing power are weak. In the investigation process, the sophomore and sophomore seven to five classes of students in geometry problem solving process,especially in the presence of the large difference calculation, sophomore class five students overall level is not high, it is in computing power particularly weak, although the sophomore seven to the overall good foundation, but in the actual teaching process can also be found in the student computing power, there are some deficiencies.(3) by SPSS multivariate interaction analysis, found that problem-solving approach has a significant impact on student learning, solid geometry problem type of student learning also has a significant impact, problem-solving approach solid geometry problem type interaction and student learning outcomes equally Significantly affected.