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每年高考结束都会收到针对解析几何题的“深度研究”文章,而且都是这个套路:一、真题再现(2016年高考数学山东卷理科第21题)平面直角坐标系xOy中,椭圆C:x~2/a~2+y~2/b~2=1(a>b>0)的离心率是(3~(1/2))/2,抛物线E:x~2=2y的焦点F是C的一个顶点.(Ⅰ)求椭圆C的方程;(Ⅱ)设P是E上的动点,且位于第一象限,E在点P处的切线l于C交与不同的两点A,B,线段AB的中点为D,直线OD与过点P且垂直于x轴的直线
Every year, the end of the college entrance examination will receive analytic geometry questions “depth study ” article, and is the routine: A true question reproduction (2016 college entrance examination Mathematics Shandong Volume 21) rectangular Cartesian coordinate system xOy, oval C The eccentricity of x ~ 2 / a ~ 2 + y ~ 2 / b ~ 2 = 1 (a> b> 0) is (3 ~ (1/2)) / 2. Parabola E: x ~ 2 = 2y The focal point F is a vertex of C. (I) Find the equation of elliptic C; (II) Let P be the moving point on E and lie in the first quadrant, and the tangent l of E at point P intersects the two Point A, B, the middle point of the segment AB is D, the straight line of the straight line OD and the excessive point P and perpendicular to the x-axis