关于圆锥曲线的统一性质和结论有很多,如果能对这些性质和结论熟练理解和掌握,它不仅可以帮助我们快速解题,还有利于更加深刻地理解和认识圆锥曲线.本文是在实际教学中对椭圆、双曲线和抛物线三类曲线就类似结论进行探究与总结.图1原题再现:如图1,椭圆E:x2a2+y2b2=1(a>b>0)的左焦点为F1,右焦点为F2,离心率e=12,过F1的直线交椭圆于A、B两点,且△ABF2的周长为8. There are many connotations and conclusions on the conic curve, which can not only help us to solve the problem quickly but also understand and understand the conic curve more profoundly, The elliptic, hyperbolic and parabolic three kinds of curves on the similar conclusions to explore and summarize Figure 1 original title representation: Figure 1, the elliptic E: x2a2 + y2b2 = 1 (a> b> 0) the left focus is F1, right The focus is F2, the eccentricity is e = 12, and the straight line passing through F1 is crossed with ellipse at two points A and B, and the circumference of △ ABF2 is eight.