Poetry and music related to mathematics can stimulate or soothe feelings, painting is pleasing to the eye, poetry can touch people's hearts, philosophy can make people gain wisdom, science and technology can improve material life, but mathematics can provide all of the above. We want to turn boring mathematics learning into an aesthetic process of appreciating and discovering beauty, which can completely infiltrate some poems related to mathematics and even guide students to create. I have listened to the classes and teaching and research activities of teachers in Qingdao No.2 Middle School, and I am surprised by the ability and talent of their students in this respect. Obviously, to believe that students' creativity and imagination far exceed our imagination, what we can do is to give them an inspiration and build a platform. Attached below are some math-related poems I have accumulated. I. Poems related to the chapters in the textbook Chapter 1, Collection, Mapping and Function: Flowers and fruits are fragrant at sunset, and things change for stars to see vicissitudes. Causal changes are related, and a good strategy is to break the chaos? The basic theory of set is rigorous, and the mapping function is light yellow. Look at the chart to discuss the ups and downs, and Kehai has a plan to sail. Chapter 2 "Exponential Function, Logarithmic Function, Power Function": Morning fog blocks traffic, and mushroom clouds cover the sky; The age of fossils is calculated skillfully, and the sentences of Wen Haisuo are as fast as the wind. Explain infinite things, and the three families of functions make great achievements. Second, the mathematical problems of poetry Zhu Shijie's "Meeting with the Source" and "Or Asking Songs" have twelve mathematical problems, all of which are put forward in the form of poetry. For example, the first question: "There is a square pool today, which stops at every square foot. The sides of the reef are getting bigger and bigger, and water comes out 30 inches. There is a cattail on the east coast, and there is no zero on the water. " The dock is slightly flush with the water. How to determine the three types (water depth, pier length and pier length)? "In the Yuan Dynasty, there was a calculation book about the method of measuring fields," Detailed Algorithm ":"The ancients measured fields for a long time and drew quantities by rope ruler. Although there is a form of universal law, only Tian Fang's law is easy to elaborate. If the vortex is oblique and concave,
2. Poetry praising mathematics 1. Mathematics becomes poetry.
Once you walk two or three miles, there are four or five smoke villages.
There are six or seven pavilions and eighty or ninety flowers.
This is a poem written by Shao Yong in the Song Dynasty describing the scenery all the way, with 20 words and 10 numbers. This poem reflects the distance, villages, pavilions, flowers and plants with numbers, which is popular and natural.
One, two, three or four, five, six, seven or eight.
Nine pieces, ten pieces, countless pieces, all disappeared when flying into the plum blossom.
This is a poem about Xue Mei written by Lin Hejing in Ming Dynasty. The whole poem uses quantifiers to indicate the number of snowflakes. After reading it, it's like being in the snow. When snowflakes fly into Meilin, it is difficult to tell whether they are snowflakes or plum blossoms.
One nest, two nests, three or four nests, five nests, six nests, seven or eight nests,
Eat all the royal millet, and there will be no more phoenix.
This is a poem "Sparrow" by Wang Anshi, a statesman, writer and thinker in the Song Dynasty. Seeing that many officials in the Northern Song Dynasty were full of food, corrupt and opposed to political reform, he compared them to sparrows and satirized them.
A pole, an oar, a fishing boat, a fisherman and a hook,
Bend down and laugh, one person monopolizes the autumn scenery of a river.
These are ten "One" poems written by Ji Xiaolan in Qing Dynasty. It is said that Emperor Qianlong saw a fishing boat paddling in the river one day, so he asked Ji Xiaolan to write a poem about fishing and asked him to use ten "ones" in the poem. Ji Xiaolan soon sang a poem, writing about scenery and modality, which was natural and appropriate and full of charm. No wonder Gan Long even said, "What a genius!"
3. What are the poems related to mathematics? 1, Song Shaoyong's Poetry of Learning Enlightenment?
At first glance, it is two or three miles away, and mist hangs over four or five families.
There are six or seven trees and eighty or ninety flowers in front of the door.
2. Zhuo Wenjun, Poem of Complaining Lang
After a farewell, the lovesickness between the two places is only said to be March and April;
Who knows 1956, the lyre has no intention of playing;
Eight-part essay has no letter transmission, and nine chains are interrupted;
Shili Pavilion is eager to see, full of longing and longing, but helpless.
A thousand words can't be said, bored, looking at the lonely geese on the 9 th, and the Mid-Autumn Festival in August is not round;
In July and a half, burn incense and ask the sky. In the dog days of June, everyone shakes my heart.
Pomegranate is like fire in May, but it is watered by cold rain. April loquat is not yellow, and I want to be confused in the mirror.
Peach blossoms turn with the water in March, and kites break strings in February;
Hey! Lang Lang, I hope you are a woman and I am a man in the next life.
3, "Looking at Lushan Waterfall" Li Bai Tang Dynasty
The purple mist is illuminated by sunlight, and the waterfall hangs in front of the mountain.
On the high cliff, it seems to be thousands of feet high, which makes people think that the Milky Way has fallen from heaven to earth.
4, "Early Baidu City" Li Bai Tang Dynasty
Early in the morning, I bid farewell to Jiangling city, which is high into the sky, thousands of miles away, and the boat is only one day away.
The cries of apes on both sides of the strait are still unconsciously crowing in their ears, and the canoe has passed the heavy green hills.
5. King of Weicheng Qu
The rain in the early morning moistened the dust of the land, the inn of the inn, the branches and leaves of the inn, and a new leaf
Sincerely advise friends to drink a glass of wine, and it is difficult to meet their loved ones when they go out to Yang Guan in the west.
4. What is the function word 7 in those poems? 1. Dadong (if there is a breeze) Dynasty: Pre-Qin Author: Book of Songs 2. Plum (such as plum blossom) Dynasty: Pre-Qin Author: Book of Songs 3. Dynasty that started the wind (for example, in the south): Pre-Qin authors: Li Jue, Li Jue, Li Jue, Li Jue, Li Jue, Li Jue, Li Jue, Li Jue without clothes (for example, seven without clothes) Dynasty: Pre-Qin authors. Peacocks fly southeast (for example, peacocks fly five miles southeast and wander around) Dynasty: Korean Author: Han Anonymous 8. Hu Jian eighteen beats (for example, I did nothing at the beginning of my life) Dynasty: Wei and Jin Author: Cai Yan 9. Four Wonders (Take the Tang Dynasty as an example) Dynasty: Wei and Jin Dynasties Author: Cao Zhi 1 1. Seven-step poem (for example: boiling beans and burning beans) Dynasty: Wei and Jin Author: Cao Zhi 12. White Horse (for example: Emperor) Dynasty: Wei and Jin Author: Cao Zhi 65438+. : Man Jing is not my hometown) Dynasty: Wei and Jin Author: RoyceWong 15. Seven Sorrow Poems (such as Xijing Rebellion) Dynasty: Wei and Jin Author: RoyceWong 16. Dai He (for example, I am a sea crane) Dynasty: Tang Author: Bai Juyi 17. Write poems and send them to Wei. Good (such as sunny day on Luoyang weir) Dynasty: Tang Author: Bai Juyi 19. Typhoid House (such as who is the first) Dynasty: Tang Author: Bai Juyi 20. There is a sense of harmony on the mountain road (for example, the summer before last). Dynasty: Tang Author: Bai Juyi 2 1. Ting Huai (for example, ... (for example, an elegy and a toast) Dynasty: Tang Author: Bai Juyi 23. Qixi (example: Taishou) Dynasty: Tang Author: Cui 24. Singing History (e.g. Sword) Dynasty: Wei and Jin Author: Zuo Si 25. Dai Dong's Five Tones (Example: Silent) Dynasty: Author of Southern and Northern Dynasties. Bao Zhao 27. Qingyangdu (for example, Jasper beats clothes anvil) Dynasty: Northern and Southern Dynasties Author: Southern Dynasties Folk Songs 28. Qililai (such as autumn morning) Dynasty: Northern and Southern Dynasties Author: Xie Lingyun 29. People miss home every day (for example, there are only seven days in spring) Dynasty: Northern and Southern Dynasties Author: Xue Daoheng 30. After the chaos, they passed through Wu Yuting (for example, on Valentine's Day in China, the bride stopped in an alley (for example, stopped in an alley). Dynasty: Sui Author: 32. Sleep well, eg when the family is getting poorer. Dynasty: Tang Author: Bai Juyi 33. There are five quatrains in illness (for example, when the world gets older, illness will follow). Dynasty: Tang Author: Bai Juyi 34. Let's drink seven (for example) Dynasties: Tang Author: Bai Juyi 36. It is not allowed to write two songs (such as An Old Man with a Basket). Dynasty: Tang Author: Bai Juyi 37. Eternal sorrow song (for example, the emperor of China, eager to shake the beauty of an empire) Dynasty: Tang Author: Bai Juyi 38. In July of the second year of Changqing, he went out to Hangzhou from middle school. ..... (Example: a man in Taiyuan) Dynasty: Tang Author: Bai Juyi 39. The long Ramadan is full of gloomy thoughts (for example, a day is like March) Dynasty: Tang Author: Bai Juyi 40. Living in Changle, with occasional rhyme, I gave it to Liu Wugong ... (Example: Emperor Vanity Fair) Dynasty: Tang Author: Bai Juyi 465438+. Author: Bai Juyi 42. Seeing Wu Qi off (for example, Qujiang has a sick guest) Dynasty: Tang Author: Bai Juyi 43. Reward eighteen doctors (for example, I hate my mouth, but I hate my orchid) Dynasty: Tang Author: Bai Juyi 44. The first time I walked out of Lantian Road (for example, I stopped asking the way ahead) Dynasty: Tang Author: Bai Juyi's happy words and wishes (for example, the imperial edict) Dynasty: Tang Author: Bai Juyi 46. On the moonlit night in early winter, I got the number of calligraphy and poetry collections of Huangfuzezhou ... (for example, Chapter 23 of Qingyun) Dynasty: Tang Author: Bai Juyi 47. The boat helps the night harp (such as a bird living in a fish but not moving) Dynasty: Tang author. Go out) Dynasty: Tang Author: Bai Juyi 50. From Longtan Temple to Shaolin Temple, the topic is for fellow travelers (such as six or seven sages of clothes) Dynasty: Tang Author: Bai Juyi has seven in it (not only in the topic, but also in it).
It's all written too much. Just check which one you want.
5. Ask for poems about mathematics ~ ~ There are many poems that urgently express mathematical ideas and concepts.
For example, the new high school mathematics textbook edited by Academician Zhang Jingzhong (experimental textbook of new curriculum standard of Hunan Education Press) has a poem in each chapter. For example, the first chapter, "Collection, Mapping and Function", talks about the sunset, flowers and fruits, and the vicissitudes of life.
Causal changes are related, and a good strategy is to break the chaos? The basic theory of set is rigorous, and the mapping function is light yellow. Look at the chart to discuss the ups and downs, and Kehai has a plan to sail.
In the second chapter, "Exponential Function, Logarithmic Function and Power Function", I said: the morning fog blocked the traffic, and the mushroom cloud covered the sky; The age of fossils is calculated skillfully, and the sentences of Wen Haisuo are as fast as the wind. Explain infinite things, and the three families of functions make great achievements. After studying these two chapters, read them carefully and don't feel anything.
Secondly, the mathematics of poetry is abstract and boring. How to make mathematics easy to understand and loved by people? In this respect, Chinese ancient mathematicians made many attempts, among which ballads and formulas were one, which made people feel the charm of poetry while answering mathematical questions. Starting from Yang Hui in the Southern Song Dynasty, Zhu Shijie, Ding Ju and Jia Heng in the Yuan Dynasty, Liu Shilong and Cheng Dawei in the Ming Dynasty all put forward various algorithms in the form of verse, or put forward various mathematical problems in the form of poetry.
There are twelve mathematical problems in Zhu Shijie's "Meeting with the Source" and "Or Asking Songs", all of which are put forward in the form of poems. For example, the first question: "There is a square pool today, which stops at every square foot.
The shape of both sides of the reef gradually became larger, and the water flowed out 30 inches. There is a cattail on the east coast, and there is no zero on the water.
The pier is slightly flush with the water, so how to determine the three types (water depth, pier length and pier length)? "In the Yuan Dynasty, there was a calculation book about the method of measuring fields," Detailed Algorithm ":"The ancients measured fields for a long time, and all of them were measured by rope ruler. Although there is a form of universal law, only Tian Fang's law is easy to elaborate.
If you see the vortex inclined downward, you must make up for it. However, millet is actually a field product, and the method of dividing two acres or four acres is very strong.
"Cheng Dawei's Algorithm Summary of Ming Dynasty is a popular and practical mathematical work, and also a masterpiece of digital poetry. Seventeen volumes of Algorithmic Tongzong, which was widely circulated in the late Ming and early Qing Dynasties, made outstanding contributions to the popularization of folk mathematics knowledge.
It took Cheng Dawei nearly 20 years to finish this book. At first, he was a businessman. When he was in business, he collected books on arithmetic and writing from all over the country and compiled them into ballads, turning boring math problems into wonderful poems, which made people catchy and strengthened the affinity of mathematics popularization. Cheng Dawei also has a similar drinking mathematical poem with a binary linear equation: "There are many drinkers in restaurants, and the name of thin wine is thick and mellow.
One bottle of good wine makes three people drunk, and three bottles of thin wine make one drunk. * * * drank 19 times, and all 33 guests were drunk.
Excuse me, Gao Ming is a scholar. How much alcohol does he have? "The main idea of this poem is that a bottle of good wine can drunk three guests; Three bottles of thin wine can get the guests drunk. 33 guests were drunk and always drank 19 bottles of wine.
How many bottles of good wine and thin wine are there? There is a problem of "I don't know the number of things" in the famous Shu Jing. The original text of this calculation is: "Today, there are countless things, three and three numbers leave two, five and five numbers leave three, and seven and seven numbers leave two. What is the geometry of things? Answer 23.
"This problem has spread to later generations, and many interesting names have appeared, such as' Guigu Calculation' and' Han Xin Point Soldiers'. Cheng Dawei wrote a mathematical solution in the form of a poem in "Arithmetic Unity": "Three people walk in seventy miles, five trees and twenty-one plum blossoms, and seven children reunite in the middle of the month. Divide by 105 and you will know.
This poem contains the famous "remainder theorem". That is, the remainder is divided by 3 times 70, the remainder is divided by 5 times 2 1, and the remainder is divided by 7 times 15. If the result is greater than 105, reduce the multiple of 105.
The result of the above problem is: (2 * 70)+(3 * 21)+(2 *15)-(2 *105) = 23. In the works of Indian scholar Bashgaro, there is also such a mathematical poem: "Jasmine fragrance attracts bees to collect honey."
Bustling and countless, a group flew into the flowers. How many people are there in this group? And analyze the conditions: half of all square roots, the other two are added together; A few ninth of the total, wandering outside playing games.
"If unreasonable equation operations are listed, it can be concluded that this group of bees is 72. In addition, there is a mathematical poem about lotus: "Pingping Lake is crystal clear, and red-violet is born on a half-foot stone;" "Out of the mud but not stained, clean and graceful, suddenly blown to the clear water.
The fisherman looked at it and hurried forward. The flowers were two feet away from their original position. Please solve the problem. How do you know the depth of this lake? "What a poetic algebraic problem this is! You see, the red lotus growing in the lake is half a foot long and has been blown aside by the wind. The distance between the flowers on the top of the red lotus and the original water surface is 2 feet. How deep is this lake? According to Pythagoras theorem, the depth of this lake is 3.75 feet. Third, the number of poems: the most common number of poems is one.
Although "one" is a numerical concept, in fact, if the word "one" is used properly in poetry, it will produce beautiful artistic effects. For example, the poet Chen in Qing Dynasty wrote a poem "One Picture of Qiu Jiang Fishing Alone": "One sail, one paddle, one boat, one fisherman, one hook, one bow, one smile, one bright moon and one Qiu Jiang.
"In the Five Dynasties, when Li Yu, the queen of the Southern Tang Dynasty, was in office, she wrote an inscription for the painting" Fishing in the Spring River "by the court painter Wei Xian:" The waves are full of snow, and the peaches and plums are silent; A pot of wine, a club, how many people are there in the world? " "A spring breeze, a boat, a cocoon and a light hook; Flowers are full of Zhu, wine is full of Europe, and you are comfortable in the waves.
"The image of a free and easy fisherman is vividly portrayed. Another example is the poem "The Wild Goose Falls to Win" in Yuan Dynasty: "One old year, one day, one autumn after another, one generation urges another, one gathers and one leaves, one suffers and one grieves.
Lying on the couch, I will find an acquaintance in my dream all my life. He will know each other for a while, and we will all know each other, play once and sing once. The 22 words "one" in the poem are repeated constantly, reflecting the illusory bitterness of life.
His writing is strange, but he wins with slang. Some poems will embed one to ten numbers in the poem.
Shao Kang, a philosopher in the Song Dynasty, said: "When you go twenty or thirty miles, there are four or five smoke villages, six or seven pavilions, and eighty or ninety flowers." The beauty of this poem is that it is embedded in ten cardinal numbers in turn, and a few words describe a quiet and elegant pastoral scenery, which evokes people's endless feelings and longings.