文 [1 ]指出了圆锥曲线焦点弦的一个有趣性质 ,读了有所启发 ,李老师对圆锥曲线是椭圆、双曲线、抛物线的情况分别给出了证明 ,由于证明较繁 ,笔者经过探索发现点Ａ可以是圆锥曲线上任意点的情况 ,并给出它们的一个统一命题及其简证 .引理　设Ｆ为圆锥曲线焦点 ,其相应准线为Ｌ [1] pointed out an interesting property of the focal curve of the conic curve. After reading some inspirations, Professor Li gave proofs of the case that the conic section is elliptic, hyperbolic, and parabolic, respectively. Since the proof is more complicated, the author has discovered Point A can be any point on the conic curve, and give them a unified proposition and a concise. Lemma set F to the conic curve focus, its corresponding guideline is L