数学思想在高中解析几何中的运用

The Application of Mathematics Thought in Analytical Geometry in High School

解析几何是一门以代数的形式进行图形研究的学科,将变量引入了几何的领域,在整个高中数学具有重要地位。解析几何中常用到的数学思想有:数形结合思想、转化化归思想、分类讨论思想和函数与方程思想。该文就这4种思想在解析几何中的应用做简要的说明,以期在今后的学生学习和教师教学中达到"化抽象为直观,化复杂为简单的"效果。

Analytical geometry is a subject that conducts graphic research in the form of algebra.It introduces variables into the field of geometry.It has an important position in mathematics throughout high school.The mathematical ideas commonly used in analytic geometry are:the combination of numbers and shapes,transformation Reduction thoughts,classification discussion thoughts and function and equation thoughts.This article gives a brief description of the application of these four thoughts in analytic geometry,with a view to achieving the goal of "Turning Abstraction into Intuition and Turning Complexity into Simple" effect.