求翻译：高中立体几何改革的趋势是几何问题的代数化，向量进入中学教材，为使用代数方法研究几何问题提供了强有力的工具。向量有两种表示方法，即向量本身的表示法和向量的坐标表示法。这两种表示法不仅在运算上有不同的体现，而且为研究和解决有关的几何问题提供了两种不同的方法——向量法和坐标法。虽然向量的方法简便而易于掌握，但是学生真正应用起来还是会遇到很多困难，导致很多典型的错误是什么意思？

High school three-dimensional geometric trend of reform is the algebra of geometric problems, the vector into the secondary school teaching, geometric problems using algebraic methods provide a powerful tool. Vector representation, ie, the vector notation and vector coordinates. Both said the law is

Three-dimensional geometry of the high school reform is the algebraic geometry problem, go to secondary school teaching materials to use for algebra, and geometry problem research methods provide a powerful tool. There are two levels to indicate that the method itself, that is, to the amount and the

High school reform trend of solid geometry is the geometry of problems of algebra, vector entered middle school textbooks, using algebraic method for geometry provides a powerful tool. Vector has two kinds of representation, representation of the vector itself and the coordinates of the vector notat