在高三向量专题复习中,笔者选取洛阳市2013~2014学年高三期中考试理科第16题作为例题,尽管这是一道填空题,但它却考查了平面向量运算、向量的模、点与圆的位置关系以及方程思想等基础知识,培养了同学们对知识的综合应用能力。这道题不偏不怪,构思巧妙,为同学们的探究提供了良好的素材。课堂上笔者引导同学们尝试着从不同的角度寻 In the review of the third year, the author selected Luoyang City’s 2013-2014 high school junior high school exam subject 16 as an example. Although this is a blank-filling question, it examines the position of the vector operations, vectors, points, and circles. The basic knowledge of relationships and equations, etc., cultivated students’ ability to apply knowledge comprehensively. This question is unbiased and well-designed. It provides good materials for students’ exploration. In the class, the author guides the students to try to search from different perspectives