论文部分内容阅读
解析几何是一个双刃工具,一方面,通过坐标系,它可以把几何问题变成代数问题来解,反过来,另一方面,通过坐标系,它也可以把某些代数问题变成几何问题来解,前者是它的主要功能,普遍可用,而后者则必须探讨该代数式在某个合适的坐标系中具有的几何意义,才能使其变成几何问题来解。即使如此,由于用解析几何方法解某些代数问题时,不仅方法直观、生动有趣,而且能培养和锻炼学生灵
Analytic geometry is a double-edged tool. On the one hand, through the coordinate system, it can solve geometric problems into algebraic problems. On the other hand, through the coordinate system, it can also turn certain algebraic problems into geometric problems. To solve, the former is its main function, which is universally available, while the latter must explore the geometrical meaning of the algebraic formula in an appropriate coordinate system so that it can be solved as a geometric problem. Even so, because of solving some algebraic problems with analytic geometry, not only is the method intuitive, vivid, but also able to train and exercise student spirits.