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向量是近代数学中重要和基本的数学概念之一,它可以沟通代数、几何与三角函数,也是考查学生思维能力很好的载体,因此向量是高考的重点内容之一.向量的核心内容可以概括成“两个定理、三种形式、四类运算”.两个定理是指共线向量性质定理和平面向量基本定理;三种形式为几何形式(作图)、代数形式、坐标形式;四类运算是向量的加法、减法、数乘、数量积.其中平面向量基本定理是解决向量问题的指导思想,它的作用在于
Vector is one of the most important and basic mathematical concepts in modern mathematics. It can communicate algebraic, geometric and trigonometric functions as well as a good carrier for students’ thinking ability. Therefore, vector is one of the key contents of entrance examination. The two theorems refer to the theorem of collinear vectors and the basic theorem of plane vectors. The three forms are geometric form (graphing), algebraic form and coordinate form. The four types of operations are vector addition, subtraction, multiplication, number of products. The basic theorem of plane vector is the guiding ideology to solve the vector problem, its role lies in