中国古典数学题（Chinese classical mathematical problems）.docVIP

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中国古典数学题（Chinese classical mathematical problems）.doc

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中国古典数学题（Chinese classical mathematical problems）

中国古典数学题（Chinese classical mathematical problems） Chinese classical mathematical problems (1): two rats crossing the wall; Now the wall is five feet thick, and the two rats are right. The rats are one foot a day and the mice are one foot. The rats were twice daily and the mice were half daily. Q: when will meet? Do you wear geometry? It is a stack of five foot thick (a unit of length of 1 feet =10 inches) of the wall, the size of two mice from both sides of the wall, along a straight line relative to the hole. The rats scored 1 feet on the first day, then 2 times as long as the previous day; the first day of the day was 1 feet, and the day after that was half the day before. Can they meet in a couple of days? How much did they score each time they met? This topic is published in our famous classical mathematics masterpiece, nine chapters of arithmetic, a Book of surplus deficiency chapter. The book nine chapters of arithmetic was written in about first Century years. Because of its long history, its author and accurate Book age have not been verified yet. The book is arranged in the form of a list of mathematical problems. The book collected a total of 246 mathematical questions, divided into nine categories, namely the nine chapter, so called the nine chapter arithmetic. The answer is not very difficult, please try it. Han Xin (2). According to legend, Han Xin, the general of the Han Dynasty, counted soldiers in a special way. His method was to have the soldiers first in three columns (each line of three), then in five columns (five per line), and then end up in seven columns (seven each line). As long as he knew the approximate number of soldiers in the team, he could count the exact number of soldiers based on the three ranks of soldiers who were lined up at the last line. If Han Xin saw the three line-up, the last line of soldiers were 2, 2, 4 people, and know that this team of soldiers in about three or four people between, you can quickly calculate the number o