向量集形与数于一体,是高中数学的重要知识模块,高考对向量的考查既可以作为考点,也可以作为解决其他问题的工具。下面笔者以近几年高考试题中平面向量问题为例,就其中所涉及的数学思想方法进行分析。1视角1:利用基底法求解例1(2016年高考数学天津卷)已知△ABC是边长为1的等边三角形,点D,E分别是边AB,BC的中点,联结DE并延长到点F,使得DE=2EF,则 Vector set and number in one, is an important high school mathematics knowledge module, college entrance examination of the vector can be used as a test site, but also can be used as a tool to solve other problems. The following author in recent years college entrance examination test questions in the plane vector, for example, on the mathematical thinking involved in the analysis. 1 Perspective 1: Using Substrate Method to Solve Example 1 (Tianjin University Mathematics Entrance Examination 2016) It is known that △ ABC is an equilateral triangle with a side length of 1, and points D and E are the midpoints of the sides AB and BC, respectively, joining DE and lengthening To point F, so DE = 2EF, then