中学数学新教材的一个重要特征是增加了向量内容,向量作为联系代数和几何的纽带,具有几何形式与代数形式的双重性,是中学数学知识的一个交汇点,同时向量方法又以其独特的解题方式给学生带来一种全新的观念。因此,学好向量,对整个高中数学乃至高等数学都至关重要,教师要充分利用向量与原有内容的联系开展教学,使学生真正掌握好向量这部分内容,下面我来谈谈向量的运用。一、平面向量与不等式根据向量的数量积的定义 An important feature of the new textbook for middle school mathematics is the addition of vector content. As a link between connection algebra and geometry, vector has the duality of geometric form and algebraic form. It is a meeting point of mathematical knowledge in middle school. At the same time, Problem-solving ways give students a whole new idea. Therefore, to learn vector is very important to the whole high school mathematics and even higher mathematics. Teachers should make full use of the relationship between the vector and the original content to carry out teaching so that the students can master the vector properly. Now let me talk about vector application. First, the plane vector and inequality based on the number of vector product of the definition