向量是高中教材中新增加的重要内容之一,它既是代数研究的对象,又是几何研究的对象,是集“数、形”于一身的数学概念。向量是一个很有用的数学工具,它的运用非常广泛。本文将通过实例凸现数学中的向量方法,锤炼学生的思维能力和分析、解决实际问题的能力。一、三角中向量方法向量方法在解三角形中若运用的得当,能起到事半功倍之效,要务必关注.例1.(2011陕西高考)叙述并证明余弦定理.余弦定理:三角形任何一边的平方等于其他两边平方的和减 Vector is one of the most important new additions in high school teaching materials. It is not only the object of algebraic research, but also the object of geometric research. It is a mathematical concept of “number and form”. Vector is a very useful mathematical tool, it is widely used. In this paper, examples will highlight the mathematical methods in mathematics, tempering the thinking ability of students and analysis, the ability to solve practical problems. First, the triangle vector method Vector method in the triangle if used properly, can play a multiplier effect, it is important to pay attention. Example 1. (2011 Shaanxi college entrance examination) described and proved the cosine theorem. Cosine theorem: the square on either side of the triangle Equal to the other two sides of the sum minus