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向量运算主要有两种:一种是几何运算,另一种是坐标运算。坐标运算主要是加、减、数乘以及数量积运算。有时候学生会遇到一些有关向量的问题,如果用常规解法解比较烦。根据教学过程中的实际总结,给出对于这些向量问题的特殊解法,主要是根据平面几何的性质及向量基本定理得出。选择不同的方法,对于学生的思维能力、探究能力、计算能力、推理能力、叙述表达能力、创新能力等都起到了很好的训练作用,学生感受到不同方法的特点,唤起了进一步探究问题的好奇心和强烈的求知欲望。
There are two main vector operations: one is the geometric operation, and the other is the coordinate operation. Coordinate operation is mainly plus, minus, number multiplication and the number of product operations. There are times when students encounter some problems with vectors, which can be annoying if they are solved using normal solutions. According to the actual summary in the teaching process, the special solutions to these vector problems are given, which are mainly based on the properties of plane geometry and the basic theorems of vectors. Choosing different methods plays a good training role in students’ thinking ability, inquiry ability, calculation ability, reasoning ability, narrative expression ability and innovation ability, etc. Students feel the characteristics of different methods and arouse the further exploration of the problem Curiosity and strong desire for knowledge.