Pictures of mathematical painting

Mathematics is really wonderful. It has a way of thinking that we can't imagine, but it is closely related to our lives. The following contents are pictures of mathematical paintings, please have a look:

Math painting pictures 1

Mathematical drawing pictures 2

Math painting picture 3

Mathematical paintings Figure 4

Extended reading of mathematical stories

Interesting math story (1):

During the Warring States Period, Qi Weiwang and Tian Ji raced, and Qi Weiwang and Tian Ji each had three good horses: getting on, winning and dismounting. The race is divided into three times, and thousands of dollars are bet on each horse race. Because the horsepower of the two horses is almost the same, and Qi Weiwang's horse is better than Tian Ji's, most people think that Tian Ji will lose.

However, Tian Ji took the advice of his disciple Sun Bin (a famous strategist) and dismounted Qi Weiwang's horse, Ma Zhong of Qi Weiwang and Qi Weiwang. As a result, Tian Ji beat Qi Weiwang 2-/kloc-0-and won a lot of money. This is an example of China's ancient substitution game theory to solve problems.

Interesting math story (2):

When Gauss was still in the second grade of primary school, one day his math teacher wanted to use class time to deal with some of his private affairs, so he planned to give the students a difficult problem to practice. His topic is:

1+2+3+4+5+6+7+8+9+ 10=?

Because addition has just been taught, the teacher thinks it will take a long time for students to solve this problem. I can also take this opportunity to deal with unfinished business. But in the blink of an eye, Gauss had stopped writing and sat there doing nothing. The teacher saw it and called Gauss angrily.

But Gauss said he had figured out the answer, which was 55. The teacher was startled and asked how Gauss worked it out. Gauss replied, "I just found out that the sum of 1 and 10 is the sum of1,2 and 9,1,3 and 8,1/kloc-0. And because11+1+11+11= 55, that's how I worked it out. " Hearing this, the teachers and students all gave Gauss a thumbs-up. After that, Gauss grew up and became a great mathematician. Emotional vocabulary

Interesting math story (3):

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 funny 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.

Interesting math story (4):

Nowadays, people buy dogs, some for guarding the house against theft, some for hunting in the mountains, some for investigating and solving crimes, and some for entertainment. Ancient people also bought dogs for various purposes. The following is an application problem about buying a dog in China's ancient math book "Nine Chapters of Arithmetic":

Today, there are * * * to buy dogs, and people are out of five, less than ninety; Fifty is enough. What is the number and price of dogs?

The main idea of the topic is that there are several people buying dogs together at the moment, each with 5 articles and 90 articles short; Fifty pence each is just enough. Ask how many people there are and how much the dog costs.

The first time, each person gave 5 articles, and the second time it was changed to 50 articles. The increased amount is 50-5=45 (articles).

Each person takes out 45 more articles, which just makes up for the shortage of the original 90 articles, so the number of people is 90÷45=2.

The price of a dog is 50×2= 100 (text).

The answer is: * * * There are two people who want to buy a dog 100.

There are some similar problems in Nine Chapters Arithmetic. When several people buy a thing together, the money they take out is sometimes too much (surplus), sometimes not enough (insufficient), and sometimes just enough (enough). This kind of arithmetic problem is very common, and it is still called "profit and loss problem" or "insufficient income problem", which keeps the tradition of "Nine Chapters Arithmetic".

Interesting math story (5):

More than 1,700 years ago, China was in the era of the Three Kingdoms, with Wei, Shu and Wu in the tripartite confrontation.

One day, Sun Quan of Wu gave an elephant to Cao Cao, the leader of Wei State. Cao Cao lived in the Central Plains for a long time and had never seen such a monster. He is curious to know how heavy this monster is. So he said to the ministers, "Who can weigh this elephant? The people present discussed noisily: someone went home and moved out a special scale, but the elephant was too big. As soon as they stood up, they broke the weight; It was suggested that the elephants should be cut piece by piece and weighed separately, and then the total weight should be calculated. But everyone present thought it was cruel, and Cao Cao liked the cute appearance of elephants, but he didn't expect to throw them away for weighing. Just when everyone was helpless and wanted to put it down, Cao Chong, Cao Cao's seven-year-old son, suddenly said, "I know how to weigh it! He asked everyone to drive the elephant to a boat and see how much it sank, and made a mark on the boat. Then please drive the elephant back to the shore and put baskets of stones on the boat until the boat sinks to the line just drawn. After that, he asked everyone to weigh the stones on the boat one by one, and all of them added up to the weight of the elephant! Kid, isn't Cao Chong smart? In the era of more than 1,700 years ago, Cao Chong's method was really brilliant, but modern tools were very developed. We have invented many tools to weigh things, and we don't have to go to great lengths to move stones basket by basket.

Please consult with your parents, son. What tools should be used to weigh a puppy, a bag of sand, an apple, a truck of wood and a container truck?