Mixed operations of multiplication, addition and subtraction. Gauss is a famous mathematician, physicist, astronomer and geodetic scientist in Germany. Known as the prince of mathematics, he is one of the greatest mathematicians in history, as well as Archimedes, Newton and Euler. Hua (1910.11.65438+) is a world-famous mathematician. China is the founder and pioneer of analytic number theory, matrix geometry, canonical group and self-safe function theory. The international achievements in mathematical science named Fahrenheit include Fahrenheit Theorem, Wyatt-Wah Inequality, Fahrenheit Inequality, Lawwill-Gardner Theorem, Fahrenheit Operator and so on. "Hua Wang Fa" and others. Chen Jingrun (1933 May 22 ~1996 March19), Han nationality, was born in Fuzhou, Fujian Province. He is a famous mathematician in China, and graduated from the Mathematics Department of Xiamen University. 1966 published "Representing even numbers as a prime number and a prime number not exceeding two. Became a milestone in the study of Goldbach's conjecture, and his published results are also called Chen Theorem. This work also enabled him, Wang Yuan and Pan Chengdong to win the first prize of China Natural Science Award with 1978 * *. 1999, China issued stamps to commemorate Chen Jingrun. Purple Mountain Observatory named a planet "Chen Jingrun Star". To commemorate this, another related film and television work is called Chen Jingrun. Hua (1910 121October 65438-1June 98512), Han nationality, is a world-famous mathematician. He is the founder and pioneer of China's analytic number theory, matrix geometry, canonical group and self-safety function theory. The international achievements in mathematical research named after Fahrenheit include Fahrenheit theorem, Wyatt-Wah inequality, Fahrenheit inequality, Lawwill-Gardiner theorem, Fahrenheit operator and so on. "Chinese king law" and so on. He made outstanding contributions to the development of mathematics in China. The famous American mathematician Bateman wrote: "Hua is China's Einstein, and he is enough to be an academician of all the famous academies in the world.". It is listed as one of the 88 great mathematicians in the world at the Chicago Museum of Science and Technology. Mathematical motto: 1, mathematics is an infinite science. (Will) 2. The problem is the heart of mathematics. As long as a branch of science can ask many questions, it is full of them. No problem, indicating the termination or decline of independent development. -Hilbert) 4. Some beautiful theorems in mathematics have such characteristics: they are easy to be summed up from facts, but the proofs are extremely profound. -Gauss) 5. Mathematics is the queen of science, while number theory is the queen of mathematics-Gauss) 6. The ancient Greek philosopher Zhi Nuo claimed. He has four mathematical paradoxes that have been passed down to this day. He once said a famous saying: "The big circle has a little more knowledge than the small circle, but because the circumference of the big circle is longer than that of the small circle, its contact surface with the outside world is larger than that of the small circle, so it feels more lack of knowledge and needs to study hard. "7. Learn mathematics as a language and learn the usage of each term. Be familiar with the meaning of each symbol. 8. Don't let go of any seemingly simple examples-they are often not that simple or can lead to many knowledge points. 9. Just because you can use mathematical formulas doesn't mean you can learn mathematics. 10. If you are not a genius, you can't play games if you want to learn math-you think you have done it, but your math level has not improved with your ability to pass the customs. 2. Math story: When Gauss was in elementary school, once after the teacher taught addition, because the teacher wanted to have a rest, he came up with a topic for the students to calculate and have a look. The title is: 1+2+3+. +97+98+99+ 100 = The teacher is thinking that the children must have finished class now. I used this as 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 us how he worked it out: add 1 to 100, and add 100 to 1, adding two lines. That is: 1+2+3+4+. +96+97+98+99+/10 10/00+99+98+97+96+.+4+3+2+1= 38+001+/kloc. 3. Math problem: (1) Add appropriate operation symbols between the numbers in the following questions. 1() 2 () 4 =11() 2 () 3 () 5 =165438+.1() 2 () 3 () 4 ().
2. Mathematical manuscript data
The origin of Arabic numerals that can be written with Agarabo numerals
After the ancient Indians created Arabic numerals, they spread to the Arab region around the 7th century. By the 3rd century A.D./KLOC-0, the Italian mathematician Fibonacci wrote Abacus, in which he introduced Arabic numerals in detail. Later, these figures spread from the Arab region to Europe. Europeans only know that these numbers are imported from the Arab region, so they are called Arabic numbers. Later, these figures spread from Europe to all countries in the world.
Arabic numerals were introduced into China around 13 ~ 14 century. Because there was a number called "chip" in ancient China, which was easy to write, Arabic numerals were not popularized and used in China at that time. At the beginning of this century, with the absorption and introduction of foreign mathematical achievements by China, Arabic numerals began to be used slowly in China, and only now have they been popularized and used in China for more than 100 years. Arabic numerals have now become the most commonly used numbers in people's study, life and communication.
3. blackboard newspaper in the math garden
The blackboard newspaper in the math park is shown in the picture.
Information on the blackboard of primary school mathematics garden: the story of mathematicians
Specializing in sue
Su Shuqing 1902 was born in a mountain village in Pingyang County, Zhejiang Province in September. Although the family is poor, his parents scrimp and save, and they have to work hard to pay for his education. When he was in junior high school, he was not interested in mathematics. He thinks mathematics is too simple, and he will understand it as soon as he learns it. However, a later math class influenced his life.
4. The content of the mathematical manuscript
per cent
nature
A number indicating that one number is a percentage of another number is called a percentage. Percentages are also called percentages or percentages. Percentages are usually expressed as "%". Percentages are special fractions and cannot be expressed by fractions.
A number indicating that one number is a percentage of another. Percentages are also called percentages or percentages. Percentages are usually represented by the symbol "%"(called percent sign) instead of fractions. For example, 4 1% is written as 4 1%. Since the denominator of the percentage is 100, it is all in 1%.
A number that represents the fraction of one number to another is called a percentage. Percentages are also called percentages or percentages. Percentages are usually not written in the form of fractions, but expressed by adding a percent sign "%"after the numerator. There are many percentages in life:
The weather forecast program on TV will broadcast the weather situation and precipitation probability of that night and tomorrow day every day, prompting everyone to prepare in advance, just like the precipitation probability of tonight is 20%, and there will be a strong wind of 5 ~ 6 in the daytime tomorrow, and the precipitation probability is 10%, so you should add clothes sooner or later. 20% and 10% are clear and concise.
With the rapid development of science and technology, every middle-aged person is now equipped with various styles of mobile phones. Glenn Wilson, a psychologist at Royal College, University of London, has proved that reading short messages with his head down all the time will lead to low work efficiency and slow down the brain reaction ability of staff, and the IQ of people who read short messages often will drop by 10%, which once again proves in percentage form that although mobile phones provide convenience for people, they are very harmful to human health.
App application
Although the denominator of the percentage is 100, the numerator can be greater than 100, for example, 200% means twice the original number. For example, a company's net profit last year was 6.5438+0.2 million yuan, and this year's net profit was 6.5438+0.2 million yuan, which can be expressed as "this year's net profit increased by 20% compared with last year" or "this year's net profit increased by 654.38+0.20% compared with last year", but this writing method is rarely used.
Percentages are sometimes misleading. Many people think that the percentage increase will be offset by the same percentage decrease, for example, an increase of 50% from 100 is equal to 100+50, that is, 150. And a 50% reduction from 150 is 150-75, which is equal to 75. The final result is less than the original number 100.
Percentage in life
There are many percentages in daily life, but I saw this percentage on my father's sweater, 80%, and I found this percentage in my mother's trade, 82.8%. It's strange that there are decimals on sweaters. I found 90% on my sweaters, and there are percentages everywhere in my life.
1. There are about 80% nitrogen and 20% oxygen in the air.
2, six (2) class physical exercise compliance rate of 95%.
3. 79% people in America want to stop the war.
4. Holiday consumption in Shanghai accounts for 50% of the whole year, and night consumption accounts for 50% of the whole day.
From June 5438 to last year 10, due to the National Day holiday, the total social retail sales in Shanghai reached 4.887 billion yuan, breaking the monthly sales record in Shanghai. According to statistics, the total retail sales of social consumer goods in Shanghai last year was 654.38+0.59 billion yuan, and holiday consumption accounted for half of the country.
Similarly, due to the accelerated pace of work and life, in the total retail sales of social consumer goods of 654.38+059 billion yuan completed last year, night consumption after 6 pm also accounted for 50% of the total consumption.
5. In China's GDP, the proportion of primary industry decreased from 23.8% in 1992 to 2 1.2% in 1993.
This year's output is 30% higher than last year's.
5. Junior high school mathematics blackboard textbook
First, correct the attitude of learning mathematics
There was once a celebrity who complained about his difficulties: one of his secretaries, who was a liberal arts major, reported on the work report he had drafted. Although the answer is excellent, it is flashy and lacks logic, which can't satisfy him, so he often writes it himself. It can be seen that even if you are engaged in secretarial work in the future, you must have strong scientific thinking ability, and learning mathematics is the best thinking gymnastics.
Therefore, in fact, it is more important to accept the influence of mathematical thought and spirit, and improve their own thinking quality and scientific literacy to learn mathematics. If so, they will benefit for life.
6. Essentials of Mathematical Manuscripts
Key points of making mathematical handwritten newspaper
Handwritten newspaper is another kind of newspaper that can be circulated, played and posted. In school, handwritten newspaper is a good activity occasion in the second lecture hall. Like the blackboard newspaper, handwritten newspaper is also a popular propaganda tool.
First, the general idea of handwritten newspaper
How to make a handwritten newspaper with a certain internal substantive meaning of knowledge and a wonderful and beautiful layout in a limited space? It's not pure, it's a matter of technique. For an editor, composition, editing, typesetting, illustration and writing are a concentrated creative process, which is a comprehensive embodiment of his cultural accomplishment, life interest, mental outlook and artistic accomplishment. This is undoubtedly a huge six-in-one for a student to cultivate personality and talent from an early age.
To run a handwritten newspaper well, we should consider it as a whole and first establish the theme concept. The layout of the first issue of the handwritten newspaper is very limited. To make it unique, it is necessary to highlight a theme in the internal substantive sense, so that the theme is prominent and colorful. Layout and greening design should also focus on the theme, and determine the seriousness and vividness of the situation according to the internal substantive meaning of the theme day article, so as to achieve the unity of the situation and the internal substantive meaning.
Second, the layout design of handwritten newspaper
The general requirements for the layout design of handwritten newspaper are: clear theme, fresh and beautiful layout.
1. Clear layout-divide the layout clearly into two pieces first, and each piece can be further divided into several pieces. When distinguishing the blocks of an article clearly, we should have the beauty of horizontal, vertical, large and small, changeable and symmetrical. The header should be placed in a prominent position.
2. Block layout-if it does not meet the original distinction, it is necessary to make necessary adjustments to the layout block layout; If you can't arrange the article, you should use the situation of citation and edition transfer to distinguish it from the adjacent article blocks with font size, color and lace.
3. Dress-changing design-In addition to designing and drawing the header according to the internal entity meaning, the title of each article should also be considered as a whole, and the font, font size, color and vertical and horizontal position of each article title should be determined according to the primary and secondary positions of the article. The internal essential meaning of the article is mainly horizontal, and the line spacing is greater than the word spacing. Some decorative flowers, illustrations, lace and tail flowers are inserted between articles to play a decorative and lively role.
Third, the writing of handwritten newspaper.
1. Title writing-the title of the first or important article, with eye-catching and serious words; For entertaining messages or minor articles, you can use a relaxed and lively font. Same period or the same period
The title of the first edition of the article should also be written in different fonts. The font of the title should be larger than the internal entity font of the article, and the color should be strengthened. Most of the titles are artistic characters, especially block letters, running scripts, Wei books and official characters.
2. Writing of words-the font should be clear, beautiful and generous, the lines should be neat, the font should not be too small, and graffiti and typos are prohibited. (Generally, we will write with a famous pen. )
Fourthly, the decoration and greening of handwritten newspapers.
If the master fills the monotony of the book with the artistic hands and eyes such as color and drawing, it will give people vivid images, beautiful colors and a new sense of pleasure and enlightenment. Internal entity meaning includes title, decorative flowers, illustrations, lace, tail flowers and color application.
1. Title-It is a sign of handwritten newspaper, which consists of a pattern or screen and the title of the publication. A book contract consists of a title, a date and an editing unit.
2. Decorative theme flower-it is the decoration of the title or switch of the article. It usually has a shadow that suggests a painter or pattern.
3. Illustration-you can draw a picture that can state the plot according to the internal substantive meaning of the article, which is closely related to the internal substantive meaning of the article; You can also accept patterns that have nothing to do with the internal meaning of the article, such as flowers and birds, mountains and rivers, etc. , is entirely made for greening.
4. Lace-generally it should not be too much, too big or too thick, otherwise it will pretend to be the owner. Lace can green the layout, separate articles and make it easy to read.
5. Tail flower-is a painting or pattern decorated at the back of the article. If there is still room after copying an article, you can draw a tail flower, which can enrich the layout and increase the sense of pleasure.
6. Color —— Generally, it should be concise, clear and elegant, and should not be over-the-line and messy. Generally speaking, the tone of the text should be simple and steady; Titles and lace, illustrations, etc. You can use more colorful colors. This is suitable for talents and enhances the effect.
Five, the focus of the handwritten newspaper
First, the transcript of the article. (1) fonts should be neat and beautiful, and don't write typos. (2) If two or more people copy together, pay attention to the unity of fonts. (3) The prefix and suffix should be neat.
2. Title writing. The title should be eye-catching ② Write in artistic font.
Third, the modification of the title. You can dress directly on the title. (2) It can also be decorated next to the book contract.
4, the header drawing should be eye-catching, not dazzling.
5, the tail flower drawing should be small, smart and exquisite, which plays an embellishment role and cannot attract attention.
6. Decoration of shadows. 1 typesetting can be done well, and you can also write good words for decoration; (2) You can use light color to brush the bottom, or you can use light color to outline the scenery.
Seven, keep the newspaper clean and tidy.
7. I don't know what to write in the math handwritten newspaper. Give some advice!
Draw some pictures about technology. There was an old man who had three sons and seventeen horses. Before he died, he said to his sons, "I have written my will, and I will leave you my horse." You must divide it according to my requirements. " After the old man died, the three brothers read the will. The will says, "I left all seventeen horses to my three sons. Half of the eldest son, one third of the second son and one ninth of the youngest son. No bleeding, no killing horses. You must obey your father's wishes! " The three brothers are puzzled. Although they do well in school, they still won't divide 17 by 2, 17 by 3 and 17 by 9, and they won't make the horse bleed. So they went to consult a recognized local wise man. After reading the will, the wise man said, "I will lend you a horse." Go and divide it according to your father's wishes! " 0, can be said to be the earliest human contact number. Our ancestors only knew nothing and existence at first, and none of them was 0, so 0 isn't it? I remember the primary school teacher once said, "Any number minus itself is equal to 0, and 0 means there is no number." This statement is obviously incorrect. As we all know, 0 degrees Celsius on the thermometer indicates the freezing point of water (that is, the temperature of ice-water mixture at standard atmospheric pressure), where 0 is the distinguishing point between solid and liquid water. Moreover, in Chinese characters, 0 means more as zero, such as: 1) fragmentary; A small part. 2) The quantity is not enough for a certain unit ... At this point, we know that "no quantity is 0, but 0 not only means no quantity, but also means the difference between solid and liquid water, and so on." "Any number divided by 0 is meaningless." This is a "conclusion" about 0 that teachers from primary school to middle school are still talking about. At that time, division (primary school) was to divide a copy into several parts and figure out how many there were in each part. A whole cannot be divided into 0 parts, which is "meaningless". Later, I learned that 0 in a/0 can represent a variable with zero as the limit (the absolute value of a variable is always smaller than an arbitrarily small set positive number in the process of change) and should be equal to infinity (the absolute value of a variable is always larger than an arbitrarily large set positive number in the process of change). From this, another theorem about 0 is obtained: "A variable whose limit is zero is called infinitesimal". Although 0 appears in "105, room 203", it is roughly similar to "look". They have different meanings. 0 indicator vacancy of 105 and 2003 cannot be deleted. 0 in Room 203 is used to separate "Building (2)" from "House Number". (3) "(that is, Room 8 on the second floor) can be deleted. Einstein once said, "From a macro point of view, I always think it is absurd to discuss the significance and purpose of the existence of a person or all living things." I want to study all the numbers of "existence", so I'd better know the number of "non-existence" first, so as not to become what Einstein called "absurd". As a middle school student, my ability is limited after all, and my understanding of 0 is not thorough enough. In the future, I hope (including action) to find "my new continent" in the "ocean of knowledge". Write some classic examples to supplement the stories of mathematicians, such as the story of the mathematician gauss (Gauss 1777~ 1855), who was born in Brunswick and located in present-day Germany. His grandfather is a farmer, his father is a mason, his mother is a mason's daughter, and he has a very clever brother, Uncle Gauss. He takes good care of Gauss and occasionally gives him some guidance, while his father can be said to be a "lout" who thinks that only strength can make money, and learning this kind of work is useless to the poor. Gauss showed great talent very early, and at the age of three, he could point out the mistakes in his father's book. At the age of seven, I entered a primary school and took classes in a dilapidated classroom. Teachers are not good to students and often think that teaching in the backcountry is a talent. When Gauss was ten years old, the teacher took the famous "from one to one hundred" exam and finally discovered Gauss's talent. Knowing that his ability was not enough to teach Gauss, he bought a deep math book from Hamburg and showed it to Gauss. At the same time, Gauss is familiar with bartels, a teaching assistant who is almost ten years older than him. bartels's ability is much higher than that of the teacher. Later, he became a university professor, giving Professor Gauss more and deeper mathematics. Teachers and teaching assistants went to visit Gauss's father and asked him to let Gauss receive higher education, but Gauss's father thought that his son should be a plasterer like him, and he had no money to let Gauss continue his studies. (Reprinted from China Newspaper Network //cnbanbao.cn, please keep this mark. The final conclusion is-find rich and powerful people to be Gauss's backers, although I don't know where to find them. After this visit, Gauss got rid of weaving every night and discussed mathematics with Bater every day, but soon there was nothing to teach Gauss in Bater. 1788, Gauss entered higher education institutions despite his father's opposition. After reading Gauss's homework, the math teacher told him not to take any more math classes, and his Latin soon surpassed the whole class. 179 1 year, Gauss finally found a patron-the Duke of Brunswick, and promised to help him as much as possible. Gauss's father had no reason to object. The following year, Gauss entered Brunswick College. This year, Gauss was fifteen years old. There, Gauss began to study advanced mathematics. Independent discovery of the general form of binomial theorem, quadratic reciprocity law in number theory, prime number theorem and arithmetic geometric average. 1795 gauss enters gottingen (g? Ttingen) university, because he is very talented in language and mathematics, so for some time he has been worried about whether to specialize in classical Chinese or mathematics in the future. At the age of 1796 and 17, Gauss got an extremely important result in the history of mathematics. It was the theory and method of drawing regular heptagon ruler that made him embark on the road of mathematics. Mathematicians in the Greek era already knew how to draw a positive polygon of 2m×3n×5p with a ruler, where m is a positive integer and n and p can only be 0 or 1. However, for two thousand years, no one knows the ruler drawing methods of regular heptagon, heptagon and decagon. Gauss proved that a regular N-polygon can be drawn with a ruler if and only if n is one of the following two forms: 1, n = 2k, k = 2,3, … 2, n = 2k × (product of several different Fermat prime numbers), k = 0, 1, 2, … fee. For example, F0 = 3, F 1 = 5, F2 = 17, F3 = 257 and F4 = 65537 are all prime numbers. Gauss has used algebra to solve geometric problems for more than 2000 years. He also regarded it as a masterpiece of his life and told him to carve the regular heptagon on his tombstone. But later, his tombstone was not engraved with a heptagon, but with a 17 star, because the sculptor in charge of carving thought that a heptagon was too similar to a circle, so people would be confused. 1799, Gauss presented his doctoral thesis and proved an important theorem of algebra: any polynomial has (complex) roots. This result is called "Basic Theorem of Algebra". In fact, many mathematicians think that the proof of this result was given before Gauss, but none of them is rigorous. Gauss pointed out the shortcomings of previous proofs one by one, and then put forward his own opinions. In his life, he gave four different proofs. 180 1 year, when gauss was 24 years old, he published "Problem Arithmetic AE". This book is written in Latin and has eight chapters at first. Due to lack of funds, he had to print seven chapters of the famous American mathematician E.T. Bell. In his book The Man of Mathematics, he once criticized Gauss: after Gauss's death, people knew that he had foreseen some mathematics in the19th century, and had already predicted that they would appear before 1800. If he can reveal what he knows, it is likely that mathematics will be half a century or even earlier than it is now. Abel and jacoby can start from where Gauss stayed, instead of spending their best efforts on discovering what Gauss knew at birth. Those creators of non-Euclidean geometry can apply their genius to other aspects. 1On the morning of February 23rd, 855, Gauss died peacefully in his sleep. Contents of mathematical manuscripts