平面向量与三角形有着千丝万缕的联系,我们常常遇到在平面向量背景下,研究有关三角形面积的比例问题或最值问题。解决这类问题的关键就是:把“面积的比例”问题转化为相应三角形“线段的比例”问题。一、等底共高所谓“等底共高”就是相应三角形的“底”相等,“高”共线或平行,这样三角形面积的比例问题,就可转化为有关线段的比例问题。 Plane vectors and triangles are inextricably linked, we often encounter in the plane vector background, the study of the proportion of the triangle area or the most valuable question. The key to solving this type of problem is to convert the “area ratio” problem into the corresponding triangle “line segment ratio” problem. First, the total end of the so-called “at the end of a total of high” is the corresponding triangle “bottom ” equal, “high ” collinear or parallel, so the proportion of the triangle area can be transformed into the relevant segments Proportion problem.