1, Mathematical Story-A customer went to a cane shop and bought a cane from 30 yuan. He took out a 50 yuan bill and asked for change. It happened that there was no change in the store, so the shopkeeper went to his neighbor's house to change 50 yuan's money and changed the customer 20 yuan's change. Just after the customer left, the neighbors came running in a panic. It is said that this ticket for 50 yuan is fake. The shopkeeper had to compensate his neighbor 50 yuan. Then he went out to chase the customer, grabbed him and said, "You liar, I paid my neighbor 50 yuan, and I gave you 20 yuan. You took another cane, and you have to compensate me for the loss of 100 yuan. " The customer said, "The cost of a walking stick is 30 Yuan You left when your neighbor gave you change. I would like to add here that the cost of crutches is 20 yuan. If this customer succeeds, how much will * * * cheat? 2. Story: Monkeys steal hats. A group of monkeys are playing by the well. A gust of wind blew a monkey's hat into the well. He asked 18' s friends to get hats from the pine trees by the well one by one. Four monkeys don't climb trees, so they go for hats. Q: How many monkeys go up and down the well to grab their hats? 3. Story: When did the snail climb the well? A snail accidentally fell into a dry well, and it lay down at the bottom of the well and began to cry. A toad came over and said angrily to the snail, "Stop crying, little brother, it's no use crying. This shaft wall is high and slippery, so I can only live here if I fall here. "I have lived here for many years. The snail looked at the old and ugly toad and thought, "What a beautiful world outside the well! I can never live in a dark and cold well like it. The snail said to the toad, "Uncle toad, I can't live here. I have to climb out. How deep is this well? " "Ha ha ha ..... it's a joke, this well 10 meters deep, you are so young. How can you climb out with such a heavy shell? " "I am not afraid of suffering, not afraid of being tired. I always climb out after a while every day! "The next day, the snail was full and began to climb along the wall. It has been climbing up. At night, it finally climbed 5 meters. The snail was very happy and thought, "at this rate, I can climb out tomorrow night." "Thinking about thinking, unconsciously fell asleep. In the morning, the snail was awakened by a purr. At first glance, it turned out that Uncle Tu was still sleeping. He was surprised: "Why am I so close to the bottom of the well? "It turned out that after the snail fell asleep, it slipped 4 meters from the borehole wall. The snail sighed, gritted his teeth and began to climb again. At night, it climbed up another 5 meters, but at night, the snail fell down another 4 meters. In this way, it climbed, climbed and slipped, and finally the strong snail climbed onto the well platform. Clever boy, can you guess how many days it took the snail to climb the drilling platform? In daily life, mathematics is everywhere, such as how much it costs to buy and sell vegetables ... Here are some short stories about mathematics. 1, children of gauss series, do you know the story of gauss, a mathematical genius, when he was a child? When Gauss was in the second grade of primary school, once the teacher wanted to have a rest after teaching addition, so he asked the students to do some calculations. The topic is:1+2+3+4 ...+96+97+98+99+100 =? I thought the students would be quiet for a while, but I was about to find an excuse to go out, but Gauss stopped me! It turns out that Gauss has worked it out. Little friend, do you know how he did it? Gauss told everyone how he worked it out: add 1 to 100 and 100 to1; Line up in two rows and want to add, that is:1+2+3+4+………………+96+97+98+99+100+99+98+97+96+……+4+3+. 1+10 1+1* * has one hundred101,but the formula is repeated twice, so it is 65438+. Since then, the learning process of Gauss Elementary School has already surpassed other students, which laid the foundation for his future mathematics and made him a mathematical genius. 2, chickens and rabbits in the same cage Have you ever heard of the problem of "chickens and rabbits in the same cage"? This question is one of the famous and interesting questions in ancient China. About 1500 years ago, this interesting question was recorded in Sun Tzu's calculation. The book describes it like this: "There are chickens and rabbits in the same cage today, with 35 heads on the top and 94 feet on the bottom. 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. 3. Excellent math story: The door opened and a young man came in. Mr Liu Jianming asked him to sit down. The young man introduced himself and said, "I am a tour guide from the mainland." My name is yujiang county. I'm taking a tour group to Hong Kong this time. I heard that your hotel has a comfortable environment and good service. We want to stay in your hotel. " Mr Liu Jianming immediately said enthusiastically, "Welcome, welcome, welcome. I wonder how many people are there in your group? " "People, not bad, are a big group." Liu Jianming was overjoyed: It's great to have a big group and another big enterprise. As a tour guide, Yu Jiang saw Mr. Liu Jianming's mind. He remembered and said slowly, "Sir, if you can count the number of people in our group, we will stay in your hotel." "Please go ahead." Mr Liu Jianming said confidently. "If I divide my group into four groups on average, there will be one more person, and then divide each group into four groups on average, there will be one more person, and then divide the four groups into four groups on average, there will be one more person, including me, of course. How many people are there at least? " "How much is a * *?" Mr Liu Jianming immediately thought of this. He must take this business. "Without specific figures, how should we start?" He was a shrewd businessman and soon learned the answer: "At least 85 people?" Mr. Yu Jiang said happily, "Exactly, it's eighty-five. Please tell me how you worked it out? " "The least number of cases, is the last quartile, each is a person. It can be inferred that there are 1×4+ 1=5 (people) before the third score, and 5×4+ 1=2 1 (people) before the second score and the first score. " How many men and women do you have? ""There are 55 men and 30 women. " "We only have rooms for 1 1, rooms for 7 people and 5 people. How do you want to live? " "Of course, Sir, you have arranged, but men and women must be separated, and there can be no empty beds. "There will be a problem. Liu Jianming had never met such a guest, so he had to spend some time again. After thinking hard, he finally came up with the best plan: 1 1 two people, seven people in four rooms, five people in one room; One female room 1 1 person, seven people in two rooms, five people in one room, and one room * * *1/. After seeing his arrangement, Mr. Yu Jiang was very satisfied and immediately went through the accommodation formalities. Made a big deal. Although it is a bit complicated, Mr. Liu Jianming is still very happy in his heart. Hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry, hurry.