论文部分内容阅读
《高中数学竞赛解题指导》(罗增儒主编),P110第4题如下: 海滩上有一堆苹果,这是5个猴子的财产,它们要平均分配,第一个猴子来了,它左等右等别的猴子都不来,它便把苹果分成5堆, 每堆一样多,还剩下一个,它把剩下的一个扔到海里,自己拿走了5堆中的一堆,第二个猴子来了,它又把苹果分成5堆,又多了一个,它又扔掉一个,拿一堆走了,以后每个猴子来了都是如此处理,问原来至少有多少苹果?最后至少有多少苹果? 笔者将这个问题推广,并给出另一种解
“High School Mathematics Competition Problem-Solving Guide” (Edited by Luo Zengru), P110 item 4 is as follows: There are a pile of apples on the beach. This is the property of the 5 monkeys. They are to be evenly distributed. The first monkey comes, it is left, right, etc. When other monkeys did not come, it divided the apples into five piles. There were as many piles as one, and there was one left. It tossed the remaining one into the sea and took away one of the five piles. The second monkey. When it came, it divided the apples into five piles and added one more. It tossed away one and took a pile away. After each monkey came, it was treated like that. At least how many apples there were? Apple? I promote this issue and give another solution