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研究双曲线上的点到焦点的距离问题时,往往只关注双曲线的定义,而忽视了双曲线上的点到焦点的最短距离问题,解题时很可能出现增根.
When studying the point-to-focus distance problem on hyperbolic curves, the hyperbolic definition is usually only concerned with the shortest distance from the point on the hyperbola to the focal point, which is likely to increase when the problem is solved.