Interesting knowledge of mathematics

Number theory part:

1, there is no maximum prime number. Euclid gave a beautiful and simple proof.

2. Goldbach conjecture: Any even number can be expressed as the sum of two prime numbers. Chen Jingrun's achievement is that any even number can be expressed as the sum of the products of one prime number and no more than two prime numbers.

3. Fermat's last theorem: n power of x+n power of y = n power of z, and n> has no integer solution at 2 places. Euler proofs 3 and 4, 1995 were proved by British mathematician andrew wiles.

Topology part:

1. The relationship among points, faces and edges of a polyhedron: fixed point+number of faces = number of edges +2, which was proposed by Descartes and proved by Euler, also known as euler theorem.

2. euler theorem's inference: There may be only five regular polyhedrons, namely regular tetrahedron, regular octahedron, regular hexahedron, regular icosahedron and regular dodecahedron.

3. Turn the space upside down, the left-handed object can be changed into the right-handed, and through Klein bottle simulation, a good mental gymnastics,

Excerpted from: /bbs2/ThreadDetailx? id=3 1900

2. Interesting mathematical knowledge in life

1. A garment worker can produce 4 coats or 7 pairs of trousers per person every day, and one coat and one pair of trousers make a suit. At present, 66 workers produce, how many sets of clothes can you produce at most every day?

Xiao Wang has three stamp albums, one fifth of all stamps are in the first one, n divided by 8(N is a non-zero natural number) is in the second one, and the remaining 39 stamps are in the third one. How many stamps does Xiao Wang have?

Xiao Ming looked at his report card and predicted that if the next math test is 100, the total average score will be 9 1. If he gets 80 points in the next exam, the overall average score will be 86 points. How many times did Xiao Ming take the math statistics exam?

1

To set up X workers to produce coats, you must

4x=7*(66-x)

Then x=42.

So you can produce 4*42= 168 sets of clothes a day.

2

Suppose it has x stamps.

x/5+N/8+39=x

Simplified to 4x/5-N/8=39.

According to the meaning of the question, n is the ending of 8, 4x/5 is an even number, and 39 is an odd number. Then n is the odd tail of 8. Let N=(2t+ 1)*8 get 4x/5-(2t+ 1)=39.

x=( 100+5t)/2

Then 5t is an even number, let t=2w, x=( 100+5*2w)/2=50+5w.

It can be seen that * * * has 50+5w stamps, where w is 0, 1, 2, 3, 4.

At this time N=32w+8.

three

There have been X exams, and now the average score is A.

(xa+ 100)/(x+ 1)= 9 1

(xa+80)/(x+ 1)=86

The two expressions are subtracted, and 20/(x+ 1)=5.

Then x=3 a=88

That is, the results of the existing three exams.

3. What is the main content of interesting mathematics?

Introduction of interesting mathematics content in senior grades of primary schools: Mathematics is one of the most important courses in primary schools. Children deal with math every day. Do you find its charm? Some children will say, "Where is the charm of mathematics? Mathematics is just ten numbers and several operation symbols, which is so boring. " Some children will say, "Mathematics is so difficult to learn!" However, some children will say, "Mathematics is so interesting! How I like math! "

In fact, mathematics is one of the most interesting and attractive courses in all disciplines. An aesthetician once said: "Beauty exists as long as people feel it, but it does not exist if they don't feel it." The charm of mathematics is the same. Children who find its charm will like it very much, and children who don't find this charm will find mathematics boring and difficult to learn.

Three parts: 1, an anecdote of a mathematician. 2. Interesting math problem, plan 3-5. 3. Ways to learn mathematics well

4. Mathematics is more interesting, and the short knowledge is about 20 to 50 words.

Interesting mathematical knowledge number theory part: 1, there is no maximum prime number.

Euclid gave a beautiful and simple proof. 2. Goldbach conjecture: Any even number can be expressed as the sum of two prime numbers.

Chen Jingrun's achievement is that any even number can be expressed as the sum of the products of one prime number and no more than two prime numbers. 3. Fermat's last theorem: n power of x+n power of y = n power of z, and n> has no integer solution at 2 places.

Euler proofs 3 and 4, 1995 were proved by British mathematician andrew wiles. Topology part: 1, the relationship between points and edges of polyhedron: fixed point+number of faces = number of edges +2, which was proposed by Descartes and proved by Euler, also known as euler theorem.

2. euler theorem's inference: There may be only five regular polyhedrons, namely regular tetrahedron, regular octahedron, regular hexahedron, regular icosahedron and regular dodecahedron. 3. Turn the space upside down, and the left-handed object can become the right-handed one. Through Klein bottle simulation, a good brain gymnastics is extracted from: /bbs2/ThreadDetailx? id=3 1900 .

5. The content of primary school students' interesting mathematics

Mathematics anecdote

Some people dream that they are talking with God. "What does the great * * *, 1000 year mean in your eyes?" God replied, "only one minute." The man said, "Please tell me with mercy, what does 654.38 million gold coins mean?" This is just a copper coin. Supreme * * *, please give me a copper coin! God said, "well, please wait a moment!" " "This means that this" greedy "person has to wait 1000 years.

There are similar fables in traditional folk materials in China. A clever matchmaker is praising a girl's character, morality and taste. The outspoken young man said, "I have seen that girl, as if she is blind in one eye?" The matchmaker quickly said, "Well, other men won't give her the glad eye!" " ""I heard that she is dumb? " "Very well, she won't chatter and talk too much." "Some people say that she seems to have a hand that doesn't work!" "This is a great advantage. She won't cheat. " "It is said that she can't walk on one foot?" "She is honest and won't make trouble!" "She is short!" "Can save materials! " ……

A mathematician and computer scientist thought of an interesting topic after reading this fable. This mathematician, from Tehran, was a master of creating fuzzy mathematics in 1960s. We know that the numbers 0, 1, 2, 3, 4, 5...9, 10 constitute the basic units that are neither heavy nor leaky. Mathematicians believe that the number of 10 can be calculated by the square of 5 digits. That is to say, 12, 3, 4, ... are divided into two groups to form two 5-digit numbers, so that the sum of squares of these two 5-digit numbers consists of 0, 1, 2, 3 10, ... 9, and 10, which are neither heavy nor lacking. If you want to search for "perfect" numbers by manpower alone, it is tantamount to looking for a needle in a haystack. Fortunately, we have a computer, and after some efforts, someone has achieved their goal by using it. Please read the following:

5732 1*5732 1=328569704 1

60984*60984=37 19048256

It can be seen that mathematical thinking is not only reflected in the field of mathematics, but also permeated in literary stories.