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众所周知,椭圆可以看作由圆进行“压缩变换”而得到,与椭圆有关的许多问题往往都可以“膨胀还原”到圆中,进一步揭示其几何本质,使解析几何更加具有几何的味道.下面以一道高考题为例,谈谈其几何本质的探究经历,与大家分享.题目(2016年高考数学北京卷(理科)19)已知椭圆C:x_2/a_2+y_2/b_2=1(a>b>0)的离心率为(3~(1/2))/2,A(a,0),B(0,b),O(0,0),△AOB的面积
As we all know, the ellipse can be seen as a “compression transformation” by the circle. Many problems related to the ellipse can often be “expanded and restored” into the circle to further reveal its geometric nature and make the analytical geometry more geometric Taste below. Take a college entrance examination questions as an example, to talk about the geometric nature of the inquiry experience, to share with you. Subject (2016 college entrance examination math Beijing volume (science) 19) known oval C: x_2 / a_2 + y_2 / b_2 = 1 (a> b> 0) is (3 ~ (1/2)) / 2, the area of A