A Comparative Study On Space Vector Method And Comprehensive Method In Solid Geometry

Solid geometry is very typical content of high school mathematics, occupying an importantposition in the college entrance examination. While the space vector is the new curriculum reformafter the new content and the introduction of vector space, so that it becomes a powerful tool forprocessing geometric problems. Double space vector both geometry and algebra, which has greateffects on the introduction of the traditional teaching structure and teaching mode.For the frontline teachers, the problems all I want to investigate are how to carry out theteaching of space vector, how to make the students use from the plane vector to vector spacesmooth excessive, how to make students quickly accept understanding spatial vector and use itskillfully and correctly, and what needs to add to what extent in the teaching of traditional methodfor synthesis, which are the problems worthy of further discussion.For the high school mathematics geometry space vector method and comprehensive method,this paper makes a comparative study from the four part.First，the paper will introduce the research status of vector space at home and abroad, andmake the corresponding evaluation.Second, it will deal with the space vector method and the method of the comprehensiveknowledge system, which is the basis for future applications.Third, it will prove several important conclusions about solid geometry in senior high school byspace vector method and comprehensive method in comparison and make an answer for sometypical examples by two methods. And the range of the topics is selected widely, including atextbook exercises and exercises of the provinces and the college entrance examination. Besides,the contents of the topics which relate to proving the parallel problem, and proving that vertical,distance problem for angle, the existence question and so on, basically cover all the commonproblems in solid geometry.Fourth, it will be on some suggestions and conclusions of space vectors in high schoolmathematics teaching. As a frontline teacher, I have experienced the reform of the textbook fromthe old person teaches the version to the new edition of senior high school mathematics textbooks.In recent years, the teaching practice in high school (Grade3) shows that the space vector method and the traditional method have different effects on students. Therefore, in this part, I have putforward some suggestions on the space vector method system of teaching, and have also pointedout some mistakes which students can easily make in learning space vector according to my ownteaching experiences and the research results.