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文[1]对两道“希望杯”赛题进行了深入的思考,提出了一般性的推广结论,让我们通过一道题的解答得以通晓一类问题.这样的思考,给学生提供了有益的启示,但文[1]给出的推广一不够准确,第二题一般性的结论证明不够严密,现提出来,与大家交流.文[1]由二十二届希望杯高一第1试第十七题,给出了推广一:已知点M(x_1,y_1)和N(x_2,y_2),又点P在圆C:(x—a)~2+(y一b)~2=r~2上运动,则△MNP面积的最大值、最小值:
Wen [1] conducted in-depth thinking on the two questions of “Hope Cup” and put forward the general conclusion of promotion, so that we can understand a kind of question through the solution of one question .This thinking provides students with However, the promotion given in [1] is not accurate enough, and the second conclusion shows that the general conclusion is not rigorous enough. Now it is proposed and exchanged with everyone. [1] In the first test of the seventeenth chapter, we give a generalization of a known point M (x_1, y_1) and N (x_2, y_2) and point P in the circle C: (x-a) ~ 2 = r ~ 2 on the movement, then △ MNP area of the maximum, minimum: