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在解析几何中,椭圆、双曲线、抛物线往往有相同或类似的一些性质.这里通过对2014年湖北七市(州)高三联考综合题中椭圆的有关问题,进行探究并适当进行拓展与推广,得到一般性的结论,从中可以感受到数学问题的“形异质同”.题目已知椭圆C:x2/a2+y2/b2=1(a>b>0)的离心率为12,以原点为圆心,椭圆的短半轴长为半径的圆与直线x-y+2 1/26=0相切.(Ⅰ)求椭圆C的方程;(Ⅱ)设A(-4,0),过点R(3,0)作与x轴不重
In analytic geometry, the elliptic, hyperbola and parabola tend to have the same or similar properties.Through the research on the ellipses in the comprehensive examinations of the high school entrance exams in the seven cities of Hubei in 2014, we explore and expand and popularize them as appropriate , Get the general conclusion, from which you can feel the mathematical problem “shape heterogeneous ” subject known elliptical C: x2 / a2 + y2 / b2 = 1 (a> b> 0) eccentricity of 12 (1) Find the ellipse C equation; (Ⅱ) Let A (-4, 0) be the center of the ellipse, ), Point R (3,0) and x-axis are not heavy