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许多中学数学复习资料上常见这样一类问题:在已知曲线C上求一点P使P到两定点A、B的距离满足: (1) 使|PA|+|PB|最小。 (2) 使|PA|+|PB|最大。 (3) 使||PA|-|PB||最小或|PA|-|PB|。 (4) 使||PA|-|PB||最大。
Many high school mathematics review materials commonly have such a problem: Finding a point P on the known curve C makes the distance from P to two fixed points A, B satisfy: (1) Minimize |PA|+|PB|. (2) Maximize |PA|+|PB|. (3) Minimize ||PA|-|PB|| or |PA|-|PB|. (4) Maximize ||PA|-|PB||.