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文[1]对以下问题进行了研究:问题过抛物线y2=2px(p>0)的焦点F作一条斜率大于0的直线l与抛物线交于A、B两点,若在准线上存在点P使△PAB是等边三角形,则直线l的斜率等于__.并得到以下结论:
In [1], we study the following questions: the focal point F of the problem over the parabola y2 = 2px (p> 0) makes a straight line with a slope greater than 0; and the parabola intersects point A and point B. If there is a point P so △ PAB is an equilateral triangle, the slope of the straight line l is equal to __ and the following conclusion is reached: