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文[1]比较明晰地显示了椭圆、抛物线、双曲线“是同一事物随着量的变化的不同阶段”,读后较有启发,启发之余,笔者重新构造了一道轨迹问题,并通过对它的讨论,勾画出圆锥曲线间的一个更完整的演变过程,并显示“椭圆、双曲线当离心率无限趋近于1的形态是抛物线”的...
The article [1] clearly shows that ellipses, parabolas, and hyperbola “are different stages of the same thing with quantity changes.” After reading it is more inspiring. In addition, the author reconstructs a trajectory problem and passes it Its discussion outlines a more complete evolution of the conic curve and shows that “ellipsoids and hyperbolas are parabolic when the eccentricity converges to an almost infinite shape...”