One day, French mathematician Buffon invited many friends to his home and did an experiment. Buffon spread a big piece of white paper on the table, which was covered with parallel lines with equal distance. He also took out many small needles of equal length, the length of which was half that of parallel lines. Buffon said, "Please feel free to leave these small needles on this piece of white paper!" " The guests did as he said.
Buffon's statistics show that everyone * * * throws 22 12 times, in which the small needle intersects the parallel line on the paper 704 times, and 2210 ≈ 704 ≈ 3.142. Buffon said, "This number is an approximation of π. Every time you get an approximation of pi, the more times you throw it, the more accurate the approximation of pi is. " This is the famous Buffon Experiment.
Interesting Mathematical Story 2: Mathematical Magician
198 1 One day in summer, India held a mental arithmetic competition. The performer is a 37-year-old woman from India. Her name is Shagongtana. On that day, she will compete with an advanced electronic computer with amazing mental arithmetic ability.
The staff wrote a long list of 20/kloc-0 bits, asking to find the 23rd root of this number. As a result, it took Shagongtana only 50 seconds to report the correct answer to the audience. In order to get the same answer, the computer must input 20,000 instructions, and then calculate, which takes much more time than Shagongtana. This anecdote caused a sensation in the world, and Shagongtana was called a "mathematical magician".
Interesting Math Story 3: Change
A customer of a crutch shop bought a crutch made in 30 yuan. He took out a ticket for 50 yuan and asked for change. Just as there was no change in the store, the shopkeeper went to the neighbor's house to change 50 yuan's ticket into change and gave the customer 20 yuan's change.
Just after the customer left, the neighbors came running in a panic and said that this ticket for 50 yuan was fake. The shopkeeper had to compensate his neighbor 50 yuan. Then I went out to chase the customer, caught him and said, "You liar, I paid 50 yuan, neighbor, and I gave you 20 yuan. You took a crutch, and you have to compensate me 100 yuan. "
The customer said, "The cost of a crutch is 30 Yuan You left when your neighbor gave you change, so I only took your 70 yuan." Please calculate the actual loss of the sugarcane shop. I would like to add here that the cost of crutches is 20 yuan. If this customer succeeds, how much will * * * cheat?
Interesting mathematical story 4: the problem of train running in the opposite direction
The two trains travel in opposite directions along the same track, and the speed of each train is 50 miles per hour. When the distance between two carriages is 100 mile, a fly flies from train A to train B at the speed of 60 miles per hour. When it meets the train B, it immediately turns around and flies to the train A, and so on until the two trains collide and crush the fly into pieces. How far did the fly fly before it was crushed to death?
We know that the distance between two cars is 100 miles, and the speed of each car is 50 miles per hour. This means that each car has traveled 50 miles, that is, two cars collided one hour later. During the short time from the train to the collision, the fly kept flying at 60 miles per hour, so when the two cars collided, the fly flew 60 miles. Whether the fly flies in a straight line, in a "Z" shape or tumbling in the air, the result is the same.