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在高中数学中,向量是一个重要内容.当前,数学考试对这部分知识点增加了一定的考查力度.因此,学生不但要学好向量的基础知识,更重要的是能够将其作为一种解题方法,来分析与解决相关问题,学会知识迁移,学会活用知识,进而提高解题速率.一、利用向量求解析几何问题在高中数学中,平面解析几何与平面向量是新教材与老教材的整合点,同时也是当前考试考查热点之一.解决这一类型的题目时,应由向量加减法运算以及向量数量积定义切入,并尽可能地联系解析几何与向量之间的相同点,灵活利用解析几何的相关知识与解题技巧,将复杂问题简单化,进而有效、快速解题.1.利用向量研究直线所成的角例1已知顶点A(4,2),原点是O,P为线段OA垂直平分线上的一点.如果∠APO是锐角,请求出P点横坐标
In high school mathematics, the vector is an important content.At present, the mathematics exam to some degree of knowledge points to increase the degree of test.Therefore, students not only need to learn the basics of the vector, more importantly, be able to use it as a solution Method to analyze and solve related problems, learn knowledge transfer, learn to use knowledge, and thus improve the problem-solving rate.First, the use of vector analysis of geometric problems in high school mathematics, plane analytic geometry and plane vector is the new textbook and the integration of the old textbook Point, but also one of the hottest test exams.To solve this type of problem, the vector addition and subtraction operations and vector quantity product definition cut into, and as far as possible contact with the analytic geometry and the same point between the vector, flexible use Analysis of geometry related knowledge and problem-solving skills, the complex problem is simplified, and then effective, quick problem-solving .1 using vectors to study the angle formed by a straight line 1 known vertex A (4,2), the origin is O, P A point on the bisector perpendicular to bisector A. If ∠APO is an acute angle, request the abscissa of point P