早在16世纪初,人们就对椭圆标准方程的推导作了比较深入的研究,推导方法也多种多样.而现在我们的课本上,椭圆标准方程的推导方法只介绍了一种,这样难免有些禁锢了学生的思维.本文从数学史的角度总结了以下几种椭圆标准方程的推导方法,供同行参考.方法1(最简单的几何方法)如图1,设PF_1=r_1,PF_2=r_2,P(x,y),则有r_1+r_2=2a. As early as the early 16th century, people conducted a more in-depth study on the derivation of the elliptical standard equations, and the derivation methods varied as well. Now on our textbooks, the derivation of the elliptical standard equations only introduces one, Imprisoned students’ thinking.This paper summarizes the following derivation methods of elliptical standard equations from the perspective of mathematical history for peer reference.Method 1 (the simplest geometric method) shown in Figure 1, set PF_1 = r_1, PF_2 = r_2, P (x, y), then r_1 + r_2 = 2a.