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本文就向量概念、性质、运算及向量在平面图形、空间图形中的应用等方面,例举了向量0軋与实数0、数量积运算不满足消去律和结合律、平面向量性质与几何性质的区别、点与向量坐标的区别、向量夹角的意义、向量平行和垂直的充要条件、向量平移与点平移的区别等在学习中常见的几个误区,旨在促进和提高向量的教学效果。
In this paper, vector concepts, properties, operations and vectors in the plane graphics, the application of space graphics, such as the vector 0 rolling and real number 0, the number of products does not satisfy the elimination of the law of eigenvectors and laws of convergence, the nature of vector and geometric properties The difference between point and vector coordinates, the meaning of vector angle, the necessary and sufficient conditions of vector parallelism and vertical, the difference between vector translation and point translation, and so on, are several common misunderstandings in learning and are intended to promote and improve the teaching effect of vector .