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笔者最近对抛物线作了一点研究,得到了一个重要的有趣的等差数列,现说明如下,与读者共享．定理F是抛物线的焦点,E是抛物线准线与对称轴的交点,O是抛物线的顶点,过F的直线交抛物线于A,B两点,过点O的直线与抛物线的另一交点为P,过E的直线交抛物线于M,N两点,若三条弦MN,AB,OP互相平行但不与对称轴平行,则|AB|~2,|OP|~2,|MN|~2成等差数列．
The author recently made a bit of research on the parabola and got an important interesting series of equal numbers, which are explained below and shared with the readers. Theorem F is the focus of the parabola, E is the intersection of the parabola alignment line with the axis of symmetry, O is the vertex of the parabola, the line passing F is intersected by two points A and B, and the intersection of the line passing over point O and the parabola is P The straight line that crosses E crosses two points M and N. If the three strings MN, AB, and OP are parallel to each other but not parallel to the axis of symmetry, |AB|~2, |OP|~2, |MN|~2 Arithmetic series.