求双曲线的标准方程通常用待定系数法,若能根据不同的题设条件,灵活地选择相应的方程形式,可避免分类讨论,简化解题过程。焦点位置已确定例1已知双曲线的焦点FI(一拓,0)和凡临,0),点尸在双曲线上,且满足PF,土PFZ,又△Fll斗 The standard equation for the hyperbola is usually the undetermined coefficient method. If conditions can be set according to different questions, and the corresponding equation form can be selected flexibly, classification discussion can be avoided and the problem-solving process can be simplified. The focus position has been determined in Example 1 where the known hyperbola focal points FI (1, 0, and 0, and 0), the point body is on the hyperbola, and it satisfies the PF, the soil PFZ, and the △F11 bucket.