向量法在中学数学解题中的应用

The application of vector method in mathematics problem solvingAbstract Vector occupies a large proportion in middle school mathematics,and it also appearsfrequently in the college entrance examination over the years.It is a bridge between algebra,geometry and trigonometric function.Therefore,it is very important to master vector knowledgeand use vector method to solve the problem.Starting from the recognition of the requirements ofthe curriculum standard for vector,this paper first looks up the literature and materials related tothe development of vector,summarizes and briefly expounds the development history of vectorscience,then we collect the college entrance examination questions related to vectors andcommon examples for analysis and research.From the three aspects of algebra,plane geometryand space geometry,we study the problems of proving equality and inequality,maximum value,parallel to vertical relationship in solid geometry,positive and cosine value of space angle byvector method.No matter in algebra or geometry,vector can be used as a powerful tool to solveproblems,making the process of solving easier and more accurate.In solid geometry,theadvantages of vector method are more obvious,which not only helps to cultivate the ability ofspatial thinking and abstraction,but also improves its position in the common methods of highschool mathematics.Key words vector methods high school mathematics problem solving