2. Mathematics points out that the maximum value of a function is often obtained at the most unstable point, and people will lose their inner balance if they pursue extremes.
3. Mathematical science presents the most brilliant example, which shows that pure reasoning can successfully expand people's cognitive field without experiments.
History makes people wise, poetry makes people witty, and mathematics makes people careful.
5. Mathematics can promote people's understanding of the characteristics of beauty: numerical proportional order, etc.
6. You will never put too much effort into your math study.
7. Self-esteem and desire to know the truth, so as to live in the big family of God. Just as literature induces people's emotion and understanding, mathematics stimulates people's imagination and reasoning ability.
8. If others think deeply and persistently about the truth of mathematics as I do, they will also find my discovery.
9. Mathematics has made an important contribution to observing nature. It explains the simple primitive elements in the regular structure, with which celestial bodies are built.
10. Don't do anything despicable, whether in front of others or alone: the most important thing is self-esteem.
1 1. Some beautiful theorems in mathematics have the following characteristics: they are easy to be summarized from facts, but the proofs are extremely profound.
12. In the evaluation of mathematical theorems, aesthetic standards are more important than logical standards and practical standards: in the evaluation of mathematical ideas, whether beauty and elegance are strict and correct is much more important than whether they are useful.
13. A science can only be truly perfect if it successfully uses mathematics.
14. Mathematics is the highest form of all knowledge.
15. In the world of mathematics, what matters is not what we know, but how we know it.
2. The idiom ○ too many numbers ○: too many numbers to count.
Describe a lot. ○ Countless: victory: exhaustion.
I can't count them. Describe a large number.
○ too numerous to mention: victory: exhaustion; Pieces: pieces. Can't list them one by one.
Describe a large number. ○ Thousands: describe a large number.
○ Hundreds of thousands: describe a large number. ○ Qian Qian Wan Wan: There are many descriptions.
○ Thousands of warehouses and boxes: describe a large amount of grain stored because of the good years. ○ inextricably linked: inextricably linked.
The original descriptions are one after another, and there are countless. Now let's describe all kinds of close and complicated relationships between them.
○ Thousand lines: Thousand lines, Ten thousand lines. The original descriptions are one after another, and there are countless.
Now let's describe all kinds of close and complicated relationships between them. ○ There are many things: thread: thread head.
Metaphor is the beginning of things, and there are many clues. It also describes things as complicated and chaotic.
○ There are many things: describe things as complicated and have many clues. ○ Jingwei Wanduan: There are many metaphors.
○ Thousands of households: describe a large house or a large number of households. ○ Endless: poverty: end.
There is no end, no limit. ○ Endless: layer: repetition; Poverty: exhaustion.
Appear one after another, emerge in endlessly. ○ continuous: continuous: the appearance of continuous water flow.
Describe an inheritance. ○ Give a few examples: sufficient: sufficient.
It means that there is not one thing of the same kind, but many, and it is impossible to list them all. ○ I don't know how much: Where: All the time.
I don't know how many * * *. Refers to many similar things.
○ Everything: everything. The description is very complete.
○ The more the better: Benefits: More. The more, the better.
○ Form * * *: Form: originally refers to the birth of this form; * * *: The original intention is to produce this color. All kinds, many kinds.
○ Bow down: bow down, bend over; Namely: just. Just lower your head and pick it up. It's everywhere.
A lot of descriptions, easy to get. ○ Everywhere: eye-catching: touching the line of sight.
Anywhere you can see with your eyes. ○ Everywhere: Bibi: one by one.
Can be seen everywhere, description is extremely common. ○ Everywhere: men: men; Time: everywhere.
There are mountains and fields everywhere. Describe a lot.
○ Many servants are hard to count: the original meaning is that there are many Confucian scholars. It takes a long time to say one thing at a time, and even if someone changes in the middle, it may not be finished. There are too many people or things to count.
○No. is not new:No.: repeated; Fresh: newly slaughtered animals, extended to fresh. This means that for regular customers, killing animals is not for entertainment.
I often see my back fingers, which is not novel. ○ Unusual: repeated: many times; Fresh: fresh and novel.
Often seen, not new. ○ refers to invincible: refers to: fingers; Bend: bend.
I can't count my fingers. Describe a lot.
○ Overflow: Water from rivers and lakes overflows, causing disasters. Bad articles or opinions spread everywhere and have a very bad influence.
○ Heavy rain: The rain is as big as a basin of water. Describe the urgency of the rain.
Everything: everything: everything: all the sights in the universe refer to all kinds of things. The description is rich in content and everything.
○ Vientiane: refers to various scenes listed in succession between heaven and earth. ○ Rosen Vientiane: Sen: More; Luo: list; Vientiane: all kinds of things and phenomena in the universe.
Refers to various scenes listed in succession between heaven and earth. The description contains extremely rich content.
○ Colorful: rich in content and colorful. ○ Dazzling: Dazzling: Exquisite as jade.
My eyes are full of precious things. Describe many beautiful things.
○ A lot of sweat: Dong: Dong Yu, the house. Books sweat when transported and can be piled on the roof when stored.
Describe a large collection of books. ○ Vast: Vast: Vast; Sea of smoke: the vast sea.
Describe the richness of classics and books. ○ Ganges sand number: Ganges: the great river in South Asia.
Like the sand in the Ganges, it can't be counted. Describe a large number.
○ Full Valley Pit: Full Valley Pit. There are many descriptions, everywhere.
○ Whip to cut off the flow: throw all the whips into the river and you can cut off the flow. Metaphors are numerous and powerful.
○ Car loading bucket: loading: loading. By car, by bucket.
It is not surprising to describe a large number. ○ Grand view: grand: grand and numerous; Grand view: a colorful scene.
Describe the richness of beautiful things. ○ More than enough: more than enough: the appearance of wealth.
Describe a house or money that is abundant and inexhaustible. ○ Elegance: describes a leisurely attitude.
After that, it also means that the ability and financial resources are sufficient and there is a surplus. ○ History books: books: records.
It is constantly recorded in history books. It used to happen all the time.
○ There are disciples: reality: reality; Numerous: many; Acts: the masses, the masses. There are many such people.
○ Many people: lack: lack; Qi: Well, those. There are quite a few such people.
○ There are many people: describe that there are many people in a certain category. Everyone has a book: everyone has a book.
Many readers describe books. ○ toss and turn: flip: flip.
Describe doing things repeatedly. Over and over again.
○ three orders and five applications: order: order; Shen: Expression and explanation. Many orders and warnings.
○ three pushes and six questions: push: speculation; Q: Trial. In the past, it meant trial and error.
One by one: one by one, one by one. ○ Coincidence: alone: one; Even number: a pair.
More than one. There's a match It means two things or two people are very similar.
3. The digital idiom (1) is single-minded, divided into two, no three no four (half-hearted), extending in all directions, colorful (colorful), at a loss, varied, near death, nine. Colorful (Qian Shan) is single-minded, divided into two, no three no four (half-hearted), extending in all directions, colorful (colorful), at a loss, scattered (up and down), changeable, half a catty, nine Niu Yi hairs, a narrow escape, and the power of nine cows and two tigers (colorful (ten thousand waters and Qian Shan), one line at a time. Nine Niu Yi hairs are perfect as one, and thousands of generations are colorful. Five horses are divided into thousands of people, and there are thousands of empty lanes. Ma Benteng kept his promise. Pot calling the kettle black 1. Most of them refer to inaccurate figures, and only a few refer to exact figures, such as: one word teacher, two verticals for abuse, three cardinal principles and five permanents, three pillars for separation, three elements for harmony, three obedience and four virtues, three emperors and five emperors, three aunts and six grandmothers, four seasons and eight festivals, all four are empty, four bodies are not diligent, and all grains are not divided.
2. Some idioms mean "many", and some idioms contain "three, five, one hundred, one thousand, one million", such as one after another, three transgressions and five times, three orders and five applications, a narrow escape, a hundred attempts to turn steel, full of holes, one thousand ways, thousands of times, and thousands of years. 3. Some idioms mean "less", and some idioms with "one" are the most representative, such as the slightest point, nothing, bit by bit, overnight, a stitch and a thread, a little knowledge, a fragment, twos and threes, a few words, nine Niu Yi hairs and so on.
4. Some idioms mean "miscellaneous", and some idioms with "seven or eight" are the most representative, such as scattered, scattered, chaotic, too many cooks, jumbled, jumbled, 30% off, varied, colorful and complicated. 5. Some people emphasize that if they are the same, they are exactly the same, unique, loud, completely clean, make a clean break, plummet, five big and three thick, and 99 is unity, certainty, perfection, victory, truth, foolproof, and so on.
6. Some idioms obviously contain derogatory meanings, and most of them contain "three, four", such as gossiping, three, four, commanding, forgetting three, changing three into four, pushing three and pushing four, overturning three and bullying four, and adjusting three nests and four. The numbers in these idioms all mean something like "right or wrong" or "this way, that way".
Judging from the grammatical structure of these idioms, the numbers in them can act as various components: 1. Such as the title, once and for all, one is nothing but foolproof; 2. As a predicate, such as: words and deeds are different, the weather is myriad, and everyone has a hundred; 3. As an object, such as: draw inferences from others, draw inferences from others, and know a little; 4. Attributive, such as: exquisite in all directions, a hundred schools of thought contend, and Vientiane is updated; 5. Adverbials, such as: frank, irreconcilable, think twice; 6. Make up a supplement, such as: low, low, three, four, push three gears and four, half a hundred miles. In addition, the numbers in idioms have certain rhetorical functions, and they can form various figures of speech.
For example: 1. Copy; Crossing the street to open people; 2. exaggeration: three points into the wood, mouth watering; 3. austerity: three aunts, six women, three cardinal guides and five permanent members; 4. foil: a close call, profitable; 5. Mosaic: stable and clean; 8. Overlap: 3322, Qian Qian unique; 6. the truth; Time and time again, people are connected with each other, and heart and reason are connected; 7. Same language: everything has its vanquisher, one is one and the other is two; Wait a minute. Single-minded, divided into two, no three no four (half-hearted), in all directions, extending in all directions, colorful (colorful), distracted, scattered (up and down), varied, half a catty, nine Niu Yi hairs, a narrow escape, the power of the nine birds with one stone (two) perfect (urgent, colorful (Qian Shan) Nine Niu Yi hairs are perfect as one, and thousands of generations are colorful. Five horses are divided into thousands of people, and there are thousands of empty lanes. Ma Benteng kept his promise. Pot calling the kettle black 1. Most of them refer to inaccurate figures, and only a few refer to exact figures, such as: one word teacher, two verticals for abuse, three cardinal principles and five permanents, three pillars for separation, three elements for harmony, three obedience and four virtues, three emperors and five emperors, three aunts and six grandmothers, four seasons and eight festivals, all four are empty, four bodies are not diligent, and all grains are not divided.
2. Some idioms mean "many", and some idioms contain "three, five, one hundred, one thousand, one million", such as one after another, three transgressions and five times, three orders and five applications, a narrow escape, a hundred attempts to turn steel, full of holes, one thousand ways, thousands of times, and thousands of years. 3. Some idioms mean "less", and some idioms with "one" are the most representative, such as the slightest point, nothing, bit by bit, overnight, a stitch and a thread, a little knowledge, a fragment, twos and threes, a few words, nine Niu Yi hairs and so on.
4. Some idioms mean "miscellaneous", and some idioms with "seven or eight" are the most representative, such as scattered, scattered, upside down, messy, too many cooks, miscellaneous, miscellaneous and folded.
4. What are the sentences describing mathematics? 1. In the field of mathematics, the art of asking questions is more important than the art of answering questions. -Cantor
2, a science, only the successful use of mathematics, in order to achieve a truly perfect level. Marx
Give me five coefficients and I will draw an elephant. Give me six coefficients and the elephant will wag its tail. -Cauchy
4, learning mathematics should do more exercises, thinking while doing. Predict what it is and then know why. -sue
If I inherit considerable property, I may not be of much value in mathematics. Lagrange
6. It is found that every new group is mathematical in form, because we can't have other guidance. -Darwin
7. Non-mathematical induction plays an indispensable role in mathematics learning. -Schur (Ishur)
8. The most important achievement of modern mathematics is to truly reveal the whole picture of mathematics and its essential existence. -Bertrand Russell
9. I always try my best to get rid of that heavy and monotonous calculation. Napier
10, a mathematician who has almost no talent as a poet will never be a complete mathematician ...-Wilstras
1 1. Pure mathematics can be practical and useful, and applied mathematics can also be elegant and elegant. Halmos
12, the simple composition of integers has been the source of new life in mathematics for centuries. -boekhoff
13, mathematics-an unshakable cornerstone of science and a rich source to promote the progress of human cause. -Barrow
14. In mathematics, it is very important to know what is important and what is not. Hironaka Heisuke
15, a mathematician without any poet temperament will never be a complete mathematician. -Wilstes
5. What are the digital idioms that express too much concern? They are endless and messy. They were silent. The head of the family once a year, a meal, three relics, full of bad water. A word teacher and disciple realized that nine ancestors ascended to heaven and one son became a monk, seven ancestors ascended to heaven and one son became a monk, and nine ancestors ascended to heaven and threw away Kun Yi. Second, there are no two jiaozi in the second place, and a leaf falls on the earth. I didn't know the world was silent. I don't want to hear a penny. I can't beat Han's eighteen hells, eighteen martial arts and eighteen weapons. Sitting alone in the corner, one person is unhappy. The fairy, the chicken and the dog fell to the ground, and a cow sang a stone. One Buddha gives birth, two Buddha gives birth, two Buddha gives birth, one meal and three spits make one clear. Two and one and two, two and three generations are not as good as the first generation. echo each other, one foot of water churns, one foot of water churns, one hundred feet of water churns, one hundred feet of water churns, and the waves move in a whip, one standard whip, and one hundred and twenty lines are bitten by snakes first. For three years, I was afraid of being bitten by a snake for one year. For three years, I was afraid of straw rope sitting together, sitting, sitting, doing my best, sitting, surprised and leaving. One word, one bead, one word, one tear, one word, one word, one word, one column, one thing, one limb, one piece, one piece, one piece, one piece, one needle, one thread, one pillow, one pillow, one blink of an eye, one edge, one corner, pun, one greeting, one peck, one drink, eleven times, one hundred times, one choking, one meal. One heart and one abdomen, a thousand miles, a smile, a smile, a beautiful life, a love, the first line of the road, a lifetime of dedication, a sale, a reward, a death, a thing, a thing, a thing, a thing, a thing, a thing, a thing. A phone call, a place, a place, a sofa, a line, a person, a year, a year, a year, three strokes, a death, an ounce of life * * * a hand, a foot, an instant, a choice, an instant, a show, an instant, an instant, a. Three years, one day, three times, three times, one day, one thousands of feet, one dog, one dog, one hundred dogs are a song, a mountain, a ditch, a poor and white place, and everything is unknown. All the people live together, and two men become a violent, cold and smiling white shirt. One-sided view is a grain of sand, a red heart, a word, a cow roar, a wrong thinking. The difference between a year and a year is that one man and a half women have one eye. Do exactly the same thing, respect one's life, scream for one's life, return to Yin, die in the west, ignore one's customs, be elegant, be knowledgeable, talk and dream, Hua Xu is single-minded, one thought, one breath, one pulse, one breath, one breath, one horse, one saddle, one graffiti, all the way, all the way. Once and for all, get one thing at a time, one thing at a time, one thing at a time, one thing at a time, one thing at a time, one thing at a time, one thing at a time, one thing at a time, one thing at a time, one thing at a time, one thing at a time, one thing at a time, one thing at a time, one thing at a time. As far as a painting is concerned, a flower blooms one day, a fox is alone, a tiger is not in the river, and it plunges into it. One is cruel, the other is cruel, the other is innocent, and it is exactly the same. The valley does not rise, the valley does not climb the board, one and a half high, two low, with the courage of women. One Buddha was born and one person kept it, two Buddhas were born and one Buddha was born, and one point was repaired. A minute's harvest flies into the sky, a hundred barks, a smooth meal, a thousand dollars, and vice versa. You must not change a certain rule. I don't know. A sculpture, a rabbit, a rhinoceros, a knife, two pieces. Once a generation of princes and ministers, a generation of literati, a generation of romantic Chen Ding, a file, an inch of hearts, a few steps, a cuju, a croquet. It is not easy to spread 100%, and it is not easy to remove dust. This is not thorough enough. A journey of a thousand miles, one master, one master, one sigh, one long and two short, one long and a half short, one hundred songs, one poor and two wrong, one poor and half wrong, one step at a time, one step at a time without pressing the public. The idiom "one step to heaven, one wave after another" begins with "the lesser of the two evils", and one of them must be taken. Both of them must live in their second thoughts, three hearts, the 20th, nine meals, two immortals preaching, two couplets, two peaches, three scholars, two disasters, two festivals, two exercises and two concentric eggs, without saying anything. Two abuses, two righteousness, two virtues, two hearts, two dragons, two beads, two benefits, two tigers fighting, there must be one injury, two clear months, two knives, two eight beauties, three inches of golden lotus, three days fishing in Hedong in 30 years, two sunscreens, three punches and three feet, three fumigation, three baths, three fumigation, three sentences, three sentences. Three husbands and three tigers are like people, seven like ghosts, three like ghosts, three like ghosts and three like ghosts.
6. This idiom describes a math teacher who is devoted, conscientious, a mentor, tireless and meticulous.
First of all, do your best.
Vernacular explanation: it means to be respectful and cautious and do your best.
Dynasty: Shu Kingdom of Three Kingdoms
Author: Zhuge Liang
Source: "After the Model": "I have done my best, and I will die."
I will do my best, even if I die.
Second, be conscientious.
Vernacular explanation: It describes being cautious and conscientious.
Dynasty: Qing dynasty
Author: Cao Xueqin
Source: The fourteenth chapter of A Dream of Red Mansions: So people in Ningfu knew that Xifeng was powerful, and they were conscientious from then on and did not dare to steal safety.
So everyone in Ningfu knows that Xifeng is powerful. From then on, she was careful, earnest and practical, and did not dare to steal Ann.
Third, mentors and friends
Interpretation of vernacular Chinese: a mentor who can give guidance and help.
Dynasty: Qing dynasty
Author: Peng Yanou
Source: "Nigger": "Although there is that good teacher; Hard-working persuasion; But it always goes in one ear and out the other;
Although there are teachers' teaching and well-intentioned persuasion, they always turn a deaf ear.
Fourth, tirelessly teach people.
Interpretation of vernacular: teaching: teaching. Teach people to be particularly patient and never get tired.
Dynasty: Spring and Autumn Period
Author: Confucius
Source: The Analects of Confucius: "Never tire of learning; Be tireless in teaching others; What does it have to do with me! "
Confucius said: Ask me why I didn't say anything!
Five, meticulous
Vernacular interpretation: even the smallest place is not sloppy, and it is described as serious.
Dynasty: Qing dynasty
Author: Wu
Source: "The Scholars" The fourth time: "The boss visited and saw his uncle meticulous, and he was promoted in Japan."
My boss came to see me, and he saw that Uncle Shi was serious about his work, and his promotion depended entirely on Japan.