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定义是一切数学活动的出发点,是寻找解题方法的生长点.数学定义不仅可以帮助我们找到解决问题的方法,避免漏解或错解,还可以大大减少计算量,收到事半功倍的效果.例1已知圆C:(x-3)~2+(y-4)~2=1,设点P是圆C上的动点.d=|PB|~2+|PA|~2,其中A(01),B(0,-1),则d的最大值为.求解中多数学生都采取了以下解法:
Definition is the starting point of all mathematics activities, and it is the growing point of finding solutions to problems. Mathematical definitions can not only help us find solutions to problems, avoid missing or misunderstood solutions, but also can greatly reduce the amount of calculations and achieve a multiplier effect. 1 Known circle C:(x-3)~2+(y-4)~2=1, set point P as the moving point on circle C.d=|PB|~2+|PA|~2, where A (01), B (0, -1), then the maximum value of d. Most students in the solution have taken the following solution: