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一、动点问题在向量中的考察分析动点的轨迹问题是高考的热点,以向量为背景的动点轨迹和相关最值问题更是高考的宠儿,深受命题者的青睐.这类题目以向量为背景考察向量的线性运算、数量积、面积、动点轨迹方程以及与圆有关的最值问题等相关知识,通过适度联系与综合,在知识交汇处考查学生的数学思维方法和能力.求解以向量为背景的动点问题需要结合向量的数与形两方面属性,熟练运用数形结合和化归的思想,以明确动点的轨迹为解决
First, the fixed point problem in the vector of investigation and analysis of moving point trajectory problem is the hot college entrance examination, the vector as the background of the moving point trajectory and the most relevant problem is the darling of college entrance examination, by the proponents of all ages. Taking vector as the background, we study the knowledge, such as linear operation, number product, area, moving point trajectory equation and the most value related problem with circle, and check the students’ mathematical thinking method and ability through knowledge connection. To solve the problem of moving point with vector as background, we need to combine the properties of number and shape of vector, apply the idea of combining number with form and return to normal so as to solve the problem of locating moving point