Fun math tips for sixth graders

1. Interesting facts about sixth-grade mathematics

Life motto written in mathematics: If you keep working, there is still 50% hope of success, if you don’t, it will be 100% failure - Wang Juzhen

A person is like a fraction, his actual talent is like the numerator, and his valuation of himself is like the denominator. The larger the denominator, the smaller the fraction value. ——Tolstoy

Time is a constant, but for the diligent, it is a "variable". People who use "minutes" to calculate time have 59 times more time than people who use "hours" to calculate time - Rybakov As for the solution part, let’s see what problems remain unresolved and we need to explore and solve them. ——Hua Luogeng

Genius = 1 inspiration and 99 blood and sweat. ——Edison

A=x y z

Among them, A represents success, x represents hard work, y represents the correct method, and z represents less empty words. ——Einstein

2. Interesting Mathematical Knowledge. Short, about 20 to 50 words.

Interesting Mathematical Knowledge. Number theory part: 1. There is no largest prime number.

Euclid gave an elegant and simple proof. 2. Goldbach’s conjecture: any even number can be expressed as the sum of two prime numbers.

Chen Jingrun’s result is: any even number can be expressed as the sum of a prime number and the product of no more than two prime numbers. bai3. Fermat's last theorem: x to the nth power y to the nth power = z to the nth power, ngt; there is no integer solution when 2.

Euler proved 3 and 4, which were proved by the British mathematician Andrew Wiles in 1995. Topology part: 1. The relationship between the points, faces and edges of a polyhedron: number of fixed points, number of faces = number of edges 2, proposed by Descartes and proved by Euler, also known as du Euler's theorem.

2. Inference from Euler's theorem: There may be only 5 kinds of regular polyhedra, regular tetrahedron, regular octahedron, regular hexahedron, regular icosahedron, and regular dodecahedron. 3. Turn the space over, and the left-handed objects can become right-handed objects. Through Klein bottle simulation, it is a good mental gymnastics, excerpted from: /bbs2/ThreadDetailx?id=31900.

3. Interesting math questions for sixth grade, don’t be too long

Interesting math questions for sixth grade 1. How many parts can 5 straight lines divide the plane into at most? 2. The sun sets on the western hillside, and the ducks are about to come into their nests.

Walking forward a quarter of the bank, half and a half follow the waves; there are eight ducks following behind. How many ducks do I have? 3. Plant 9 trees in 10 rows, with 3 trees in each row. How to plant them? 4. Mathematical riddles: ("/" is the fraction line) The reciprocal of 3/4 7/8 1/100 1/2 3.4 Any power of 1. Make an idiom for each of the above. 5. A number, after removing the percent sign, increases by 0.4455 from the original number. What is the original number? 6. A, B and C invest 550,000 yuan to open a store.

A’s total investment is 1/5, and the rest is borne by B and C, and B invests 20 more than C. How many thousand yuan does B invest? 7. Fold the rope in three and measure, leaving 4 meters outside the well; fold the rope in four and measure, leaving 1 meter outside the well.

What are the depth of the well and the length of the rope? 8. A basket of apples is distributed to A, B, and C. A gets 1/5 of all apples plus 5 apples, B gets 1/4 of all apples plus 7 apples, C gets half of the remaining apples, and what is left is 1/8 of the basket of apples. Find How many apples are there in this basket? 9. There are 180 people in the three workshops of a certain factory. The number of people in the second workshop is three times that of the first workshop and one person more. The number of people in the third workshop is half of the first workshop and one person less.

How many people are there in each of the three workshops? 10. Someone uses a truck to transport rice from point A to point B. The heavy truck loaded with rice travels 50 kilometers per day, and the empty truck travels 70 kilometers per day. There are three round trips in 5 days.

How many kilometers are there between places A and B? 11. The sum of the ages of the two brothers in three years' time is 26. The younger brother's age this year is exactly twice the age difference between the two brothers.

Ask, how old will the two brothers be in 3 years? There was a monkey who picked 100 bananas and piled them into a pile in the woods. The monkey's home was 50 meters away from the banana pile. The monkey planned to carry the bananas back home. He could carry up to 50 bananas at a time. However, the monkey was greedy and had to eat one banana every meter he walked. A banana, how many bananas can a monkey carry home at most? Example 1: You ask a worker to work for you for 7 days, and the reward for the worker is a gold bar. The gold bar is divided into 7 connected segments and you have to give them a segment of the gold bar at the end of each day. How do you pay your workers if you are only allowed to break the gold bar twice? Example 2: Now Xiao Ming’s family is crossing a bridge. It is dark when they cross the bridge, so there must be lights.

Now it takes Xiao Ming 1 second to cross the bridge, Xiao Ming's brother takes 3 seconds, Xiao Ming's father takes 6 seconds, Xiao Ming's mother takes 8 seconds, and Xiao Ming's grandfather takes 12 seconds. A maximum of two people can cross this bridge at a time, and the speed of crossing the bridge depends on the slowest person crossing the bridge, and the lights will go out 30 seconds after being lit.

Ask Xiao Ming’s family how to cross the bridge? 3. A manager has three daughters. The sum of the ages of the three daughters is equal to 13. The sum of the ages of the three daughters is equal to the manager’s own age. A subordinate already knows the age of the manager, but still cannot determine the ages of the manager’s three daughters. , then the manager said that only one daughter had black hair, and then the subordinate knew the ages of the manager’s three daughters. What are the ages of your three daughters? Why? 4. Three people went to stay in a hotel and stayed in three rooms. Each room cost $10, so they paid the boss $30. The next day, the boss thought that three rooms only cost $25, so he called his boy. I returned $5 to the three guests. Unexpectedly, the younger brother was greedy and only returned $1 to each person. He secretly took $2. In this way, each of the three guests spent nine yuan, so the three people spent a***. $27, plus the younger brother ate up another $2, the total is $29.

But when the three of them paid $30 a ***, what about $1 left? 5. There are two blind men. They each bought two pairs of black socks and two pairs of white socks. The eight pairs of socks were made of the same fabric and size, and each pair of socks was connected by a piece of trademark paper. Two blind men accidentally mixed up eight pairs of socks.

How can each of them retrieve two pairs of black socks and two pairs of white socks? 6. A train leaves Los Angeles and goes straight to New York at a speed of 15 kilometers per hour, and another train leaves New York and goes to Los Angeles at a speed of 20 kilometers per hour. If a bird starts from Los Angeles at the same time as two trains at a speed of 30 kilometers per hour, encounters another car and returns, flying back and forth on the two trains until the two trains meet, what will this bird do? How far did the bird fly? 7. You have two jars, 50 red marbles and 50 blue marbles. You randomly select a jar and randomly select a marble and put it into the jar. How to give the red marble the greatest chance of being selected? In your plan, what is the exact probability of getting a red ball? 8. You have four jars containing pills. Each pill has a certain weight. The contaminated pills are the weight of the uncontaminated pills. 1. How to determine which jar of pills is contaminated if you only weigh it once? 9. Perform the following operations on a batch of lights numbered 1 to 100, with all switches pointing upward (on): For multiples of 1, flip the switch once in the opposite direction; for multiples of 2, flip the switch in the opposite direction; for multiples of 3, flip the switch in the opposite direction. Flip the switch again... Q: The last number is the number of the light in the off state.

10. Imagine you are in front of a mirror. May I ask why the image in the mirror can be reversed left and right, but not up and down? 11. A group of people were having a dance, and everyone wore a hat on their head. There are only two kinds of hats, black and white, and there is at least one black one.

Everyone can see the color of other people's hats, but not their own. The host first asked everyone to see what kind of hat others were wearing, and then turned off the lights. If anyone thought they were wearing a black hat, they would slap themselves in the face.

The first time I turned off the lights, there was no sound. So the lights were turned on again, and everyone watched it again. When the lights were turned off, there was still silence.

It wasn’t until the lights were turned off for the third time that the sound of slapping could be heard. How many people wear black hats? 12. There are two rings with radii of 1 and 2 respectively. The small circle goes around the circumference of the large circle inside the large circle. How many times does the small circle rotate by itself? If it is outside the big circle, how many times will the small circle rotate by itself? 13. A bottle of soda costs 1 yuan. After drinking, two empty bottles are exchanged for one soda. Question: You have 20 yuan. How many bottles of soda can you drink at most? 14 There are 3 red hats, 4 black hats, and 5 white hats.

Let 10 people stand in a team from shortest to tallest, and put a hat on each of their heads. No one can see the color of the hat they are wearing, but they can only see the color of the hats of those standing in front.

4. Looking for interesting mathematics stories for sixth graders

In the mysterious kingdom of mathematics, the two "little famous" numbers, fat "0" and thin "1", are often They were arguing over who was more important. Look! Today, these two little enemies met each other and started another verbal war.

The thin man "1" spoke first: "Huh! Fat '0." ', what's so great about you? Just like 100, what's the use of you two fat '0's without me, the thin '1'?"

Fatty "0" was unconvinced: "You Don't show off in front of me. Think about it, if it weren't for me, where would you find other numbers to make up 100? It just means nothing. Look! '1 0' is not me. How can you be useful?"

"Go! The result of '1*0' is not me. , your '1' is just as useless!" "0" said tit for tat.

"You..." "1" paused and said accordingly, "Anyway, your '0' means Nothing! "

"This is because you have little knowledge." "0" said calmly, "Look, in daily life, if the temperature is 0 degrees, does it mean there is no temperature? For example, if there is no me as the starting point on the ruler, how can you have '1'?"

"No matter how you compare, you can only do the middle number or the mantissa, such as 1037, 1307, and you can never take the lead. ""1" said confidently. After hearing this, "0" said even more confidently: "It's possible. For example, 0.1, what will you do without me as '0' to occupy the place? "

Seeing the fat man "0" and the thin man "1" blushing and refusing to give in to the other, the other numbers watching the battle were very anxious. At this time, "9" had an idea and stepped forward. He made a pause gesture: "You two, stop arguing. Look at you, which number '1' or '0' is bigger than mine?" "This..." The fat man "0" and the thin man "1" were speechless. At this time, "9" said calmly: "'1', '0', in fact, as long as you stand together, aren't you bigger than me?" "1" and "0" looked at each other for a long time. He scratched his head and smiled. "That's right! The power of unity is the most important!" "9" said earnestly?

5. Basic knowledge of sixth grade mathematics

Compilation of basic mathematics knowledge for primary school students (grades 1 to 6). 99 multiplication tables for the first grade students.

Learn basic addition, subtraction and multiplication. Improve the multiplication tables for the second grade students and learn to divide and mix operations. Basic geometric figures.

The third grade of elementary school learns the commutative law of multiplication, geometric area, perimeter, etc., and the amount of time and units. Distance calculation, distributive law, fractions and decimals.

Fourth grade primary school: line angles, natural numbers and integers, prime factors, trapezoidal symmetry, calculation of fractions and decimals. Fifth grade primary school: Multiplication and division of fractions and decimals, algebraic equations and averages, comparative size transformations, area and volume of graphs.

Sixth grade primary school Proportional percentage probability, circular fan, cylinder and cone. Must memorize the definitions and theorem formulas: Area of ??a triangle = base * height ÷ 2.

Formula S= a*h÷2 The area of ??the square = side length * side length Formula S= a*a The area of ??the rectangle = length * width The formula S= a*b The area of ??the parallelogram = base * Height formula S= a*h Area of ??trapezoid = (upper and lower base) * height ÷ 2 Formula S = (a b) h ÷ 2 Sum of interior angles: Sum of interior angles of a triangle = 180 degrees. The volume of a cuboid = length * width * height formula: V = abh The volume of a cuboid (or cube) = base area * height formula: V = abh The volume of a cube = edge length * edge length * edge length formula: V = aaa round Perimeter = diameter * π Formula: L = πd = 2πr Area of ??a circle = radius * radius * π Formula: S = πr2 Surface (side) area of ??the cylinder: The surface (side) area of ??the cylinder is equal to the perimeter of the base multiplied by the height.

Formula: S=ch=πdh=2πrh Surface area of ??the cylinder: The surface area of ??the cylinder is equal to the circumference of the base multiplied by the height plus the area of ??the circles at both ends. Formula: S=ch 2s=ch 2πr2 Volume of cylinder: The volume of cylinder is equal to the base area times the height.

Formula: V=Sh The volume of the cone = 1/3 base * area height. Formula: V=1/3Sh Rules for adding and subtracting fractions: When adding and subtracting fractions with the same denominator, only add and subtract the numerators, leaving the denominator unchanged.

To add and subtract fractions with different denominators, first add and subtract the common denominators. Rules for multiplying fractions: use the product of the numerators as the numerator and the product of the denominators as the denominator.

Rules for dividing fractions: dividing by a number is equal to multiplying by the reciprocal of that number. Read and understand and apply the following definitions, theorems, properties and formulas: 1. Arithmetic aspects 1. Commutative law of addition: When two numbers are added, the positions of the addends are exchanged, and the sum remains unchanged.

2. The associative law of addition: to add three numbers, add the first two numbers first, or add the last two numbers first, and then add the third number, the sum remains unchanged. . 3. Commutative law of multiplication: When two numbers are multiplied, the positions of the factors are exchanged, and the product remains unchanged.

4. Associative law of multiplication: To multiply three numbers, first multiply the first two numbers, or first multiply the last two numbers, and then multiply them by the third number. Their product constant. 5. Distributive law of multiplication: If the sum of two numbers is multiplied by the same number, you can multiply the two addends by the number respectively, and then add the two products, the result remains unchanged.

For example: (2 4)*5=2*5 4*56. Properties of division: In division, the dividend and divisor expand (or shrink) by the same multiple at the same time, and the quotient remains unchanged. O divided by any number that is not O is O.

Simple multiplication: For multiplications with O at the end of the multiplicand and multiplier, you can multiply the O in front of it first. Zero does not participate in the operation. Several zeros are dropped and added to the end of the product. 7. What is an equation? The formula in which the value on the left side of the equal sign is equal to the value on the right side of the equal sign is called an equation.

Basic properties of equations: If both sides of the equation are multiplied (or divided) by the same number at the same time, the equation still holds. 8. What is an equation? Answer: An equation containing unknown numbers is called an equation.

9. What is a linear equation of one variable? Answer: An equation that contains an unknown number and the degree of the unknown is first degree is called a linear equation of one variable. Learn the examples and calculations of linear equations of one variable.

Let’s take an example and calculate the formula with χ. 10. Fraction: Divide the unit "1" evenly into several parts, and the number that represents such a part or several points is called a fraction.

11. Rules for adding and subtracting fractions: When adding and subtracting fractions with the same denominator, only add and subtract the numerators, leaving the denominator unchanged. To add and subtract fractions with different denominators, first add and subtract the common denominators.

12. Comparison of fractions: Compared with fractions with the same denominator, the one with the larger numerator is larger and the one with the smaller numerator is smaller. When comparing fractions with different denominators, first make the common denominator and then compare; if the numerators are the same, the one with the larger denominator will be smaller.

13. When multiplying a fraction by an integer, use the product of the numerator of the fraction and the integer as the numerator, and the denominator remains unchanged. 14. To multiply a fraction by a fraction, use the product of the numerators as the numerator and the denominator as the denominator.

15. Dividing a fraction by an integer (except 0) is equal to multiplying the fraction by the reciprocal of the integer.

16. Proper fraction: The fraction whose numerator is smaller than the denominator is called a proper fraction.

17. Improper fraction: A fraction whose numerator is greater than the denominator or whose numerator and denominator are equal is called an improper fraction. An improper fraction is greater than or equal to 1.

18. Mixed numbers: Writing improper fractions in the form of integers and proper fractions is called mixed numbers. 19. Basic properties of fractions: If the numerator and denominator of a fraction are multiplied or divided by the same number (except 0) at the same time, the size of the fraction remains unchanged.

20. Dividing a number by a fraction is equal to multiplying the number by the reciprocal of the fraction. 21. Dividing number A by number B (except 0) is equal to the reciprocal of number A times number B.

Quantity relationship calculation formula: 1. Unit price * quantity = total price 2. Unit output * quantity = total output 3. Speed ??* time = distance 4. Work efficiency * time = total amount of work 5. Addend addition Number = sum of one addend = sum of another addend Minuend - Minuend = Difference Minuend = Minuend - Difference Minuend = Minuend Difference Factor * Factor = Product One factor = Product ÷ Another factor Divisor ÷ Divisor = Quotient Divisor = Divisor ÷ Quotient Divisor = Quotient * Divisor Division with remainder: Dividend = Quotient * Divisor Remainder If a number is divided by two consecutive numbers, you can first multiply the last two numbers, and then divide this by their product number, the result remains unchanged. Example: 90÷5÷6=90÷(5*6) 6. 1 kilometer = 1 kilometer 1 kilometer = 1000 meters 1 meter = 10 decimeters 1 decimeter = 10 centimeters 1 centimeter = 10 millimeters 1 square meter = 100 square decimeters 1 square decimeter = 100 square centimeters 1 square centimeter = 100 square millimeters 1 cubic meter = 1000 cubic decimeters 1 cubic decimeter = 1000 cubic centimeters 1 cubic centimeter = 1000 cubic millimeters 1 ton = 1000 kilograms 1 kilogram = 1000 grams = 1 kilogram = 1 catty 1 hectare = 10,000 square meters.

1 mu = 666.666 square meters. 1 liter = 1 cubic decimeter = 1000 ml 1 ml = 1 cubic centimeter 7. What is ratio: The division of two numbers is called the ratio of the two numbers.

For example: 2÷5 or 3:6 or 1/3. If the first and last terms of the ratio are multiplied or divided by the same number (except 0) at the same time, the ratio remains unchanged. 8. What is proportion: The formula that expresses the equality of two ratios is called proportion.

For example, 3:6=9:189, the basic nature of proportion: in the proportion, the two are outside.

6. It is best to have an answer process for the fun math questions in the sixth grade of primary school

1. Two boys each ride a bicycle from a distance of 2O miles (1 mile = 1.6093 kilometers). ) and start riding towards each other in a straight line.

The moment they started, a fly on the handlebar of one bicycle began to fly straight towards the other bicycle. As soon as it reached the handlebars of the other bike, it immediately turned and flew back.

The fly flew back and forth between the handlebars of the two bicycles until the two bicycles met. If each bicycle moves at a constant speed of 10 miles per hour and the fly flies at a constant speed of 15 miles per hour, how many miles does the fly fly in total? Answer: Each bicycle is moving at a speed of 10 miles per hour. The two bicycles will meet at the midpoint of a distance of 2O miles in 1 hour.

The fly flies at a speed of 15 miles per hour, so in 1 hour, it flies a total of 15 miles. Many people try to solve this problem using complicated methods.

They counted the fly's first trip between the handlebars of the two bicycles, then its return trip, and so on, working out those shorter and shorter distances. But this would involve what is called the summation of infinite series, which is very complex advanced mathematics.

It is said that at a cocktail party, someone asked John? John von Neumann (John von Neumann, 1903~1957, one of the greatest mathematicians of the 20th century.) asked this question, and he gave the correct answer after thinking for a moment.

The questioner seemed a little frustrated. He explained that most mathematicians always ignore the simple method of solving this problem and use the complicated method of summing infinite series. Von Neumann had a look of surprise on his face.

"But, I use the method of summation of infinite series." He explained 2. There was a fisherman, wearing a big straw hat, sitting on a rowing boat and fishing in a river. The river was moving at 3 miles per hour, and his rowboat was moving down the river at the same speed.

"I have to row a few miles upstream," he said to himself, "the fish here won't take the bait!" As he started rowing upstream, a gust of wind knocked his straw hat off. Blown into the water next to the boat. However, our fisherman did not notice that his straw hat was missing and continued to paddle upstream.

He didn't realize this until he rowed five miles away from the Straw Hat. So he immediately turned the bow of the boat and rowed downstream, finally catching up with his straw hat floating in the water.

In still water, a fisherman always rows at a speed of 5 miles per hour. He maintained this speed as he rowed upstream or downstream.

Of course, it's not his speed relative to the river bank. For example, when he paddles upstream at 5 miles per hour, the river is dragging him downstream at 3 miles per hour, so his speed relative to the bank is only 2 miles per hour; As he paddles downstream, his paddling speed and the current of the river will work together so that his speed relative to the bank is 8 miles per hour.

If the fisherman lost his straw hat at 2 p.m., when did he find it? Answer Since the speed of the river water has the same impact on the rowboat and the straw hat, the speed of the river water can be completely ignored when solving this interesting problem. Although the river is flowing and its banks remain stationary, we can imagine that the river is completely still and its banks are moving.

As far as we are concerned about rowing boats and straw hats, this idea is no different from the above situation. Since the fisherman rowed five miles after leaving the straw hat, of course he rowed five miles back to the straw hat.

Therefore, relative to the water of the river, he rowed a total of 10 miles. The fisherman was rowing at a speed of 5 miles per hour relative to the water, so it must have taken him a total of 2 hours to row the 10 miles.

So, he retrieved his straw hat that had fallen into the water at 4 p.m. The situation is analogous to calculating the speed and distance of objects on the Earth's surface.

Although the Earth rotates through space, this motion has the same effect on all objects on its surface. Therefore, for most speed and distance problems, this motion of the Earth can be completely ignored. Consider. 3. A plane flies from city A to city B, and then returns to city A. In calm conditions, its average ground speed (speed relative to the ground) for the entire round trip was 100 miles per hour.

Suppose there is a continuous strong wind blowing straight in the direction from city A to city B. If the engine speed is exactly the same throughout the round trip, what effect will this wind have on the average ground speed of the round trip? Mr. White argued: "This wind will not affect the average ground speed at all.

When the plane flies from city A to city B, the strong wind will accelerate the speed of the plane, but during the return process "The wind will slow down the plane by an equal amount," Mr. Brown agreed. "But if the wind is 100 miles per hour, the plane will be moving at 200 miles per hour." The speed of flying from city A to city B will be zero! The plane cannot fly back at all! "Can you explain this seemingly contradictory phenomenon? Answer Mr. White said that the wind increases the speed of the aircraft in one direction by the same amount as it decreases the speed of the aircraft in the other direction. That's right.

However, he was wrong when he said that the wind had no effect on the average ground speed of the aircraft during the entire round-trip flight.

Mr. White's mistake was that he failed to take into account the time spent by the aircraft at these two speeds.

A return flight with a headwind takes much longer than an outbound flight with a tailwind. As a result, the groundspeed-reduced flight takes more time, so the average groundspeed round trip is lower than when there is no wind.

The stronger the wind, the more the average ground speed is reduced. When the wind speed equals or exceeds the speed of the aircraft, the average ground speed for a round-trip flight becomes zero because the aircraft cannot fly back.

4. "Sun Zi Suan Jing" is one of the famous "Ten Books of Suan Jing" that was used as a "numeracy" textbook in the early Tang Dynasty. It consists of three volumes. The first volume describes the system and counting system of arithmetic. The rules of multiplication and division, and the middle volume illustrates the calculation of fractions and the square root method with examples, which are all important materials for understanding calculations in ancient China. The second volume collects some arithmetic puzzles, one of which is the "chicken and rabbit in the same cage" problem.

The original title is as follows: There are pheasants (chickens) and rabbits in a cage with thirty-five heads on top and ninety-four legs on the bottom. Ask about the geometry of the male and rabbit? The solution in the original book is; suppose the head number is a and the foot number is b.

7. Basic knowledge of mathematics, sixth grade required

1. Yang Hui's triangle is a triangular number table arranged by numbers. The general form is as follows: 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 … … … … … The most essential feature of Yang Hui’s triangle is that its two hypotenuses are It consists of the number 1, and the remaining numbers are equal to the sum of the two numbers on its shoulder.

In fact, ancient Chinese mathematicians were far ahead in many important fields of mathematics. The history of ancient Chinese mathematics once had its own glorious chapter, and the discovery of Yang Hui's triangle is a very exciting page.

Yang Hui, courtesy name Qianguang, was born in Hangzhou during the Northern Song Dynasty. In his book "Detailed Explanation of the Algorithm in Nine Chapters" written in 1261, he compiled the triangular number table shown above, which is called the "Origin of the Square Root Method" diagram.

Such a triangle is often used in our Mathematical Olympiad competition. The simplest way is to ask you to find the pattern. Now we are required to use programming methods to output such a number table.

2. Mathematician Chen Jingrun was inspired by a story. A well-known mathematician, Chen Jingrun made a significant contribution to overcoming Goldbach's conjecture and created the famous "Chen's theorem", so many people affectionately call him "Chen Jingrun". He is the "Prince of Mathematics". But who would have thought that his achievement stems from a story.

In 1937, the diligent Chen Jingrun was admitted to Fuzhou Yinghua Academy. During the Anti-Japanese War, Professor Shen Yuan, the head of the Department of Aeronautical Engineering at Tsinghua University and a doctor in England, returned to Fujian to attend the funeral and did not want to be stranded due to the war. hometown. After hearing the news, several universities wanted to invite Professor Shen to give lectures, but he declined the invitation.

Since he is an alumnus of Yinghua, in order to report to his alma mater, he came to this middle school to teach mathematics to his classmates. One day, Teacher Shen Yuan told everyone a story in math class: "Two hundred years ago, a Frenchman discovered an interesting phenomenon: 6=3 3, 8=5 3, 10=5 5, 12=5 7 , 28=5 23, 100=11 89.

Every even number greater than 4 can be expressed as the sum of two odd numbers, so it is still a conjecture.

The great mathematician Euler said: Although I cannot prove it, I am convinced that this conclusion is correct. It is like a beautiful halo, shining with dazzling light not far ahead of us.

..." Chen Jingrun stared, listening intently. From then on, Chen Jingrun became very interested in this wonderful question.

In his spare time, he loved to go to the library. Not only did he read middle school guidance books, but he also devoured the university's mathematics, physics and chemistry course textbooks. Hence the nickname "nerd".

Interest is the first teacher.

It was this mathematical story that aroused Chen Jingrun's interest, triggered his diligence, and thus became a great mathematician.

3. People who are crazy about science often come up with some logical but absurd results (called "paradoxes") when studying infinity. Many great mathematicians are afraid of falling into it and take steps to avoid it. manner. Between 1874 and 1876, the young German mathematician Cantor, who was less than 30 years old, declared war on the mysterious infinity.

Relying on his hard work, he successfully proved that a point on a straight line can correspond to a point on a plane, and can also correspond to a point in space. It seems that there are "the same number" of points within a 1 cm long line segment as there are points on the Pacific Ocean and points inside the entire earth. In later years, Cantor published a paper on this type of "infinite ***" problem. A series of articles that draw many surprising conclusions through rigorous proofs.

Cantor's creative work had a sharp conflict with traditional mathematical concepts, and was opposed, attacked and even abused by some people. Some people say that Cantor's theory of Christianity is a "disease" and that Cantor's concept is "mist within a fog". They even say that Cantor is a "madman".

The tremendous mental pressure from mathematical authorities finally broke Cantor, leaving him mentally and physically exhausted, suffering from schizophrenia and being sent to a mental hospital. True gold is not afraid of fire, and Cantor's ideas finally shined.

At the first International Conference of Mathematicians held in 1897, his achievements were recognized. Russell, the great philosopher and mathematician, praised Cantor's work as "probably the most outstanding work that this era can boast of." Huge work." But at this time Cantor was still in a daze and could not get comfort and joy from people's admiration.

On January 6, 1918, Cantor died in a mental hospital. Cantor (1845-1918) was born in Petersburg, Russia, into a wealthy merchant family of Danish Jewish descent. He moved to Germany with his family when he was 10 years old. He had a strong interest in mathematics since childhood.

Obtained a doctorate degree at the age of 23 and has been engaged in mathematics teaching and research since then. The theory of mathematics he founded has been recognized as the basis of all mathematics.

4. The "forgetfulness" of mathematicians On the day of the 60th birthday of Chinese mathematician Professor Wu Wenjun, he got up at dawn and was immersed in calculations and formulas all day long as usual. Someone specially selected this day to pay a visit in the evening. After exchanging greetings, he explained the purpose of his visit: "I heard from your wife that today is your sixtieth birthday, so I came here to express my congratulations."

Wu Wenjun seemed to have listened. After reading this piece of news, he suddenly realized and said: "Oh, really? I forgot about it." The visitor was secretly surprised and thought: The mathematician's mind is full of numbers, how come he can't even remember his own birthday? In fact, Wu Wenjun has a very good memory for dates.

When he was nearly 60 years old, he first tackled another difficult problem - "machine proof". This is to change the way mathematicians work with "a pen, a piece of paper, and a brain" and use electronic computers to realize mathematical proofs, so that mathematicians can free up more time for creative work. He is doing During the research on this topic, I clearly remembered the date when the electronic computer was installed and the date when more than 300 "instructions" were finally programmed for the computer.

Later, when the birthday visitor asked him why he couldn’t even remember his birthday during a casual conversation, he replied knowingly: “I never remember those meaningless numbers. In my opinion, Come on, birthday, one day early or one day late, what does it matter? So, I don’t remember my birthday, my lover’s birthday, or my child’s birthday. He never wants to celebrate his birthday or that of his family members, even when I get married.

However, some numbers are indispensable and easy to remember..." 5. Routine under the apple tree In the spring of 1884, the young mathematician Adolf Hurwitz came to K?nigsberg from G?ttingen as an associate professor at the age of less than 25.