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平面向量兼顾代数和几何,是数形结合的集中体现,也是高考考查的焦点和难点。高中数学平面向量题渗透了图形、坐标、点积、基底、平方等多个知识点,解法灵活,内涵丰富,极具探究性、发散性和挑战性。一、“构图”意识——以形助数,化难为易,使问题直观化构图意识,即指在求解平面向量问题时,通过充分挖掘平面向量背后蕴藏的几何背景,构造合理的图形,从而使向量问题由数向形转化,有效获解。在实际求解过程中,同学们应结合题意,灵活构建平面图形,使平
Plane vector taking into account the algebra and geometry, is the embodiment of a combination of several forms, but also the focus of college entrance examination and difficult. High school mathematics plane vector questions infiltrate the graphics, coordinates, dot product, base, square and other knowledge points, the solution is flexible, rich in content, highly exploratory, divergent and challenging. First, the “composition ” Consciousness - to help form the number of difficulties, easy to make intuitive visual composition of the problem awareness, that is, in the solution of plane vector problems, by fully mining the geometric background behind the plane vector to construct a reasonable pattern , So that vector problems can be transformed from number to shape and effectively solved. In the actual solution process, students should be combined with the questions, flexible construction of graphic graphics to make peace