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如果二次曲线的弦AB以M为中点,则称AB为过点M的中点弦.中点弦问题是中学解析几何中的典型问题,它的存在性容易忽视.本文探究根据二次曲线方程及中点M的坐标判断中点弦的存在性及弦的方程.
If the chord AB of the quadratic curve takes M as the midpoint, then AB is called the midpoint chord that crosses point M. The midpoint chord problem is a typical problem in middle school analytical geometry, and its existence is easily overlooked. The curve equation and the coordinates of the midpoint M determine the existence of mid-point chords and the equations of the chords.