平面向量应用举例（Examples of plane vector applications）.docVIP

平面向量应用举例（Examples of plane vector applications） 2.5 plane vector applications 2.5.1 vector method in plane geometry The overall design Analysis of teaching 1. The purpose of this section is to allow students to deepen the understanding of vector, better realize the vector the superiority of the tool. In terms of ideas, methods for vector geometry method of vector algebra method and geometry in completely consistent, different just using the vector and vector operations instead of number and number of computing. This is the point, line, face directly due to geometric elements such as vector, the vector by means of the operation between them are discussed, and then translate these results into the corresponding results about point, line and plane. The algebraic method of flow chart can be simply stated as follows: The flowchart of vector method can be simply expressed as: This is the three-step method for solving geometric problems with vector method, which is also the focus of this section. 2. The study of geometry can take different approaches, including: Comprehensive approach - no other tools, direct discussion of geometric elements and their relationships; Analytic method -- the number of (algebraic) and number (algebraic) operations as tools to discuss geometric elements and their relations; Vector method -- the vector and vector operations are the tools, the geometric elements and their relationships are discussed; Analytical methods - using calculus as a tool to discuss geometric elements and their relationships, etc. The first three methods are all in middle school mathematics. Some plane geometry problem, using the vector method to solve easy. Using the vector method point is expressed in vector lines or points, according to the relationship between the point and line, established the vector equation, and then based on the linear correlation of vectors has nothing to do with the nature of the draw a vector coefficient should satisfy the equations, the soluti