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著名数学家波利亚说过:“好问题如同某种蘑菇,有些相似,它们大都成堆地生长.找到一个以后,你应当在周围再找找,很可能在附近就有几个.”受此启发,我发现2013年高考福建省数学理科第18题就是一个很好的例子.题目1(2013年高考福建省数学理科第18题)如图1,在正方形OABC中,O为坐标原点,点A的坐标为(10,0),点C的坐标为(0,10),分别将线段OA与AB十等分,分点分别为A1,A2,…,A9和B1,B2,
Well-known mathematician Pollia said: “Good problems are like mushrooms, some are similar, they grow mostly in piles, and when you find one, you should look around and probably a few nearby.” “Inspired by this, I found that the 18th issue of Mathematics Science in Fujian’s Entrance Examination in 2013 is a good example.” Topic 1 (Mathematics Entrance Examination, Fujian Province, 2013, Item 18) As shown in Figure 1, in the square OABC, O is the coordinate The origin, the coordinates of the point A is (10,0), the coordinates of the point C is (0,10), the segments OA and AB are equally divided into ten points A1, A2, ..., A9 and B1, B2,