参数方程在求解数学高考题中的应用

The application of parameter equation in solving mathematics college entrance examination

参数方程是解析几何中十分重要的内容,且是高中数学的难点。新课改后,可用参数方程求解的问题和内容有所增加,且与三角函数联系紧密。利用参数方程解决某些问题比传统方法具有更大优势。分析了利用参数方程求动点轨迹、最值、弦长、与中点有关的问题,其能够简化思路,减少变量及运算,提高高考数学解题效率。

Parametric equation is a very important content in analytic geometry,and it is also a difficulty in high school mathematics.After new curriculum reform,the problems and contents that can be solved by parametric equation have increased,and are closely related to trigonometric function.Using parametric equation to solve some problems has more advantages than traditional methods.It analyzes the problems of using parametric equation to find moving point trajectory,maximum value,chord length and midpoint,which can simplify ideas,reduce variables and operations,and improve the efficiency of solving mathematics problems in college entrance examination.