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Mathematics interest composition
Text/Zhang Yiran

"The universe is big, the particles are small, the speed of rockets, the cleverness of chemical engineering, the change of the earth, the mystery of biology, the complexity of daily use, and mathematics is everywhere." This is what China's famous mathematician Hua said.

The application of mathematics in life can be seen everywhere, and the process of mathematical calculation is very boring, but we will be very happy when solving difficult problems. During this period, I read an interesting math story book named Wonderful Math Story, written by Li Yupei. The content is mainly about the unforgettable adventures of clever cool monkeys and lively and lovely flower rabbits when they travel to Africa.

The story in the book is interesting and fascinating, because it incorporates the knowledge points of mathematics and is very readable. Among them, there are problems such as chicken and rabbit in the same cage and graphic area that we have learned, as well as problems such as solid geometry, pi and equation that we have not learned. I was deeply impressed by two problems, namely, the travel problem and the principle of inclusion and exclusion.

The question of travel is very interesting. Put a pear at a distance of 0/00 meter from you/kloc-. From here, you go straight ahead 10 meter, and then go back 10 meter. Go forward 20 meters, then go back 20 meters ... How many meters does it take to get the pear? As soon as I saw this problem, it occurred to me that if I walked a long way and then went back to the original place, I would never get the pear again. I didn't understand until I read the answer. Return to the original place after the first advance 10 meter, and return to the original place after the second advance of 20 meters. However, I got the pear after the tenth advance 100 meters, and the road got longer and longer. A * * * is missing:10× 220× 2 ... 90× 2100 =1000 (meter). As long as you walk 1000 meters, you can get pears.

The principle of tolerance requires constant thinking and is also very interesting. The above picture has red, blue and green circles with 14 points. This 14 point represents 14 things: 3 rabbits, 1 squirrel, 3 cicadas, 3 cats, 1 hyena, 1 an old man who likes meat, a naughty child and/kloc- The dots in the red circle represent quadrupeds, the dots in the blue circle represent those who can climb trees, and the dots in the green circle represent those who love meat. Ask which point represents the nose. I think so, because the nose has no four legs and is not in the red circle; Nose can't climb trees, not in the blue circle; It doesn't like to eat meat, and it won't be in the green circle, so the points outside the three circles represent the nose. According to this idea, what other points represent can also be deduced. See the figure below:

Starting from some problems in life, this book is naturally interspersed with mathematical concepts, calculation methods and other knowledge, which not only makes me learn mathematical knowledge, but also popularizes mathematical ideas and makes me like learning mathematics more.