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我们通常用确定圆的圆心到直线的距离与半径的大小来判定直线与圆的位置关系。类似的,我们或许也可以用确定椭圆的两定点(即焦点)到直线的距离之和与定长(椭圆长轴长)的大小来判定直线与椭圆的位置关系。笔者阅读了《中学数学教学参考》(上旬)2015年第5期《“直线与圆锥曲线位置”的判定新法》一文,为作者探索钻研精神点赞。美中不足的是判定直线与椭圆位置关系的结论还不是最简洁,同时直线形式还
We usually determine the distance between the circle center and the straight line and the size of the radius to determine the position of the line and the circle. Similarly, we may also determine the relationship between the line and the ellipse by using the sum of the distance between two fixed points (ie, the focal point) of the ellipse and the fixed length (the long axis of the ellipse). The author read the “high school mathematics teaching reference” (early) 2015 No. 5 “” linear and conic position “judgment new law” article, for the author to explore the spirit of study praise. The fly in the ointment is to determine the relationship between the position of the line and the ellipse is not the most concise, linear