向量是数形结合的重要途径,是解决数学问题的常用工具.合理恰当地运用向量的定义及性质可以使许多代数、三角、平面几何、立体几何、解析几何等问题迎刃而解,并且解答过程简洁明了.本文结合几个实例谈谈向量应用的广泛性.一、向量在代数问题中的应用例1证明不等式(x-2)2+9+(x-5 Vector is an important way to combine numbers and forms a common tool to solve mathematical problems.It is easy to solve many algebra, triangle, plane geometry, solid geometry and analytic geometry by using the definition and properties of vectors reasonably and properly, and the solution process is concise In this paper, a few examples to talk about the extensiveness of vector applications.First, the vector of algebra problems in the application of Example 1 to prove the inequality (x-2) 2 +9 + (x-5