都知道,圆内接直角三角的斜边恒过一定点(圆心),通过特例的检验、电脑演示、并猜想可以将这一性质推广到抛物线、椭圆、双曲线,真是太奇妙!这又是圆锥曲线的一组统一性质,下面以定理的形式叙述并予以证明.定理1设P(x0,y0)是抛物线y2=2px上一定点.A,B是抛物线上两点,且满足PA⊥P As we all know, the hypotenuse of a circle with a right-angled triangle crosses a certain point (center of circle), and it can be extended to a parabola, an ellipse, or a hyperbola by a special case test, computer demonstration, and conjecture. A set of uniform properties of a conic section, which is described and proved in the form of a theorem. Theorem 1 Let P(x0, y0) be a certain point on the parabola y2=2px. A, B are two points on the parabola, and satisfy PA⊥P