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有一类向量考题,依托三角形,以平面上的点线关系为背景,以平面向量基本定理为测试平台,重点考查学生的化归能力.这类问题的特点是条件简单、抽象,难以把握转化的方向,学生常常感到茫然而无从下手.仔细研究这类问题,可发现一个共同点,都可以借助苏教版(必修4)第71页例4这个命题的结论进行转化,观察几何性质,数形结合解决问题.
There is a class of vector questions, relying on triangles, with the point-line relationship on the plane as the background, using the basic theorem of plane vector as the test platform, and focusing on the ability of students to classify. These problems are characterized by simple conditions and abstractions that make it difficult to grasp the transformation. In the direction, students often feel that they can’t help but begin. When we study this type of problem carefully, we can find a common point that can be transformed with the conclusion of Example 4 of page 4 of the Jiangsu version (Required 4). Combine solving problems.