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The layout of the mathematics tabloid
Engels said: Mathematics is a science that studies the quantitative relations and spatial forms in real life. Mathematics tabloids can make mathematics interesting. Today, I am here to arrange the layout of the math tabloid for you. Come and have a look with me!

Layout design of mathematical tabloids

Mathematical story one

The problem of keeping chickens and rabbits in the same cage is one of the famous and interesting topics in ancient China. About 1500 years ago, this interesting question was recorded in Sun Tzu's calculation. The book describes it this way: Today, chickens and rabbits are in the same cage, with 35 heads above and 94 feet below. The geometry of chicken and rabbit?

These four sentences mean: there are several chickens and rabbits in a cage, counting from the top, there are 35 heads; It's 94 feet from the bottom. How many chickens and rabbits are there in each cage? Can you answer this question? Do you want to know how to answer this question in Sunzi Suanjing?

The answer is this: If you cut off the feet of every chicken and rabbit in half, then every chicken will become a "one-horned chicken" and every rabbit will become a "two-legged rabbit". In this way, the total number of feet of (1) chickens and rabbits changed from 94 to 47. (2) If there is a rabbit in the cage, the total number of feet is more than the total number of heads 1.

So the difference between the total number of feet 47 and the total number of heads 35 is the number of rabbits, that is, 47-35= 12 (only). Obviously, the number of chickens is 35- 12=23.

This idea is novel and strange, and its "foot-cutting method" has also amazed mathematicians at home and abroad. This way of thinking is called reduction. Reduction method means that when solving a problem, we do not directly analyze the problem first, but deform and transform the conditions or problems in the problem until it is finally classified as a solved problem.

Mathematical story 2

I read a story today, asking swallows to try frogs. The story goes like this: One day, the swallow said to the frog, "Let's compare who is better at math. The frog agreed. Frog problem: Last Monday, I ate a pest. On Tuesday, I ate three pests. After that, I ate two more pests every day than the day before. How many pests do I eat in a week? The swallow said, "1+3 = 44+5 = 99+7 =1616+9 = 2525+1= 3636+13 ="

The frog said, "Test me." The swallow said, "I ate two pests last Monday, four on Tuesday, and then two more every day than the day before." Ask me for a week ... ""I ate 56 pests ". Before the swallow finished speaking, the frog had given the answer. The swallow said, "How fast! Teach me the trick of quick calculation. " The frog asked the swallow to draw seven circles, then put a pest in the first circle, and there were two more circles behind than in front. Their order is 1, 3, 5, 7, 9, 1 1, 13, which adds up to 49. The frog put a pest outside each circle and used it again. Swallows praise frogs for their cleverness.

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