1. Poems about functions
Poems about functions 1. Poems about mathematics
Original publisher: zhuzhubai128
and Mathematics-related poetry and music can inspire or soothe feelings, paintings are pleasing to the eye, poetry can touch the heart, philosophy can make people gain wisdom, 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. We can completely incorporate some mathematics-related poems into it, or even guide students to create. I once listened to the classes and teaching and research activities of teachers from Qingdao No. 2 Middle School, and I was surprised by the abilities and talents displayed by their students in this area. It can be seen that we must believe that students' creativity and imagination are far beyond our imagination. What we can do and should do is to give them an inspiration and build a platform. Attached below are some poems related to mathematics that I have accumulated. 1. Poems related to textbook chapters Chapter 1 "Set, Mapping and Function": The sun sets, the moon rises, the fragrance of flowers and fruits, things change, the stars change, and the vicissitudes of life are seen. There are many connections between cause and effect. How can we find a good strategy to overcome confusion? The foundation theory of set is rigorous, and the mapping function is pale and yellow. Looking at the list of pictures and talking about lifting, Kehai has tips for sailing. Chapter 2 "Exponential Functions, Logarithmic Functions and Power Functions": The morning fog hinders traffic, and the mushroom core clouds cover the sky; the fossil years are cleverly calculated, and the text is as fast as the wind. Exponential and logarithmic complement each other, and the cube and square are symmetrical; Explain the infinite things, and the three families of functions have done wonderful things. 2. Poetry and Mathematics Questions There are twelve mathematical questions in Zhu Shijie's "Siyuan Jade Mirror" and "Or Wen Ge Lu", all of which are posed in the form of poetry. For example, the first question: "Today there is a square pond, with four feet on each side. The two banks of Jia Sheng are long in shape, and the water is thirty inches wide. On the east bank, there is a kind of cattail, and there is not a single foot of water on the water. The Jia Pu is slightly connected to the water. Ping, I would like to ask how to determine the three things (water depth, Pu length, Jia length)? "In the Yuan Dynasty, there is a calculation method "Detailed Algorithm" about the method of measuring fields: "In ancient times, the fields were relatively smooth and long, and they all relied on the rope ruler. Although there are general methods for a shape, only the square field method is easy to specify. If the vortex is oblique and concave,
2. Poems praising mathematics
1. Mathematics is incorporated into poetry.
After walking two or three miles, there were four or five houses in Yancun,
six or seven pavilions, eighty or ninety flowers.
This is Shao Yong from the Song Dynasty The poem describing the scenery along the way has a maximum of 20 words and uses all 10 numbers. This poem uses numbers to reflect the distance, villages, pavilions and flowers. It is popular and natural.
Two pieces, three four pieces, five pieces, six pieces, seven or eight pieces.
Nine pieces, ten pieces, countless pieces, all flying into the plum blossoms.
This is a snow poem written by Lin Hejing in the Ming Dynasty. Plum poem, the whole poem is written with numerals indicating the number of snowflakes. After reading it, it feels like being in a snowy environment. The flying snowflakes are from few to large. When flying into the plum forest, it is difficult to distinguish whether it is snowflakes or plum blossoms.
One nest, two nests, three or four nests, five nests, six nests, seven or eight nests,
After eating all the royal millet, how many phoenixes are there?
This is a politician in the Song Dynasty , a poem "Sparrow" written by Wang Anshi, a writer and thinker. He saw that many officials in the Northern Song Dynasty were full of food, corrupt, and opposed to reforms, so he compared them to sparrows and satirized them.
One pole and one oar. A fishing boat, a fisherman and a fishing hook,
A bow and a laugh, one person owns the autumn of the river.
This is the ten "one" poems of Ji Xiaolan in the Qing Dynasty. It is said that Qianlong When the emperor was patrolling the south, he saw a fishing boat rowing on the river one day. He asked Ji Xiaolan to compose a poem with the theme of fishing and asked to use ten "one" characters in the poem. Ji Xiaolan quickly recited a poem and wrote He described the scenery as well as the mood, which was natural, appropriate and full of charm. No wonder Qianlong repeatedly said: "What a genius!" ”
3. What are the poems related to mathematics?
1. "Mencius Poems" by Shao Yong of the Song Dynasty
A trip of two or three miles, Yancun four or five Home.
There are six or seven trees in front of the door, and eighty or ninety flowers.
2. "Poetry of the Resentful Man" by Zhuo Wenjun
After a farewell, two places. Lovesickness, just said it was March and April;
Who knew that in five or six years, I had no intention of playing the lyre;
There was no letter to pass on in the eight-line book, and the nine-link chain was broken in it;
Looking at the long pavilion for ten miles, I miss you a lot, I miss you a lot, I feel helpless and resentful.
I can’t finish it with a thousand words, I am bored and rely on ten columns, I climb up to the sky to see the lone wild goose, Mid-Autumn Moon in August. Round people are not round;
In July and a half, I burn incense and offer candles to ask the sky. In the dog days of June, everyone shakes fans and I feel chilly;
In May, pomegranates are like fire, but they are cold. The rain watered the flowers, and in April the loquats were not yet yellow, but I wanted to look into the mirror and my heart was confused;
In March, the peach blossoms turned with the water, and in February, the kite string was broken;
Oh, Lang! Lang, I wish that you would be a girl and I would be a boy in the next life.
3. "Wanglu Mountain Waterfall" by Li Bai in the Tang Dynasty
The incense burner in the sunshine produces purple smoke, and the waterfall hangs in front of the river.
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The flying stream falls three thousand feet, which is suspected to be the Milky Way falling from the sky.
4. "Early Departure from Baidi City" by Li Bai of the Tang Dynasty
Chao Ci Baidi's colorful clouds. , Thousands of miles of rivers and mountains are returned in one day.
The apes on both sides of the bank can't stop crying, and the boat has passed the Ten Thousand Mountains.
5. "Weicheng Song" Wang Wei, Tang Dynasty
The morning rain in Weicheng is light and dusty, and the guesthouses are green and willow-colored.
I advise you to drink another glass of wine, and there will be no old friends when you leave Yangguan in the west.
4. What are the function words 7 in those poems?
1. Dadong (Example: You Gui Xiang) Dynasty: Pre-Qin Author: The Book of Songs 2. 枽有梅 (Example: 潽 There are plum blossoms) Dynasty: Pre-Qin Author: The Book of Songs 3. Kaifeng (Example: Kaifeng comes from the south) Dynasty: Pre-Qin Author: The Book of Songs 4. July (Example: Fire flows in July) Dynasty: Pre-Qin Author: The Book of Songs 5. Pigeon (Example: The Book of Songs) : The dove is in the mulberry) Dynasty: Pre-Qin Author: The Book of Songs 6. No clothes (Example: Qi said no clothes Qixi) Dynasty: Pre-Qin Author: The Book of Songs 7. The peacock flies southeast (Example: The peacock flies southeast for five miles and lingers) Dynasty: Han Author: Han Anonymous 8. Eighteen Beats of Hu Jia (Example: When I was born, I was still doing nothing) Dynasty: Wei and Jin Author: Cai Yan 9. Seven Sorrows (Example: The bright moon shines on the tall building) Dynasty: Wei and Jin Author: Cao Zhi 10. Seven Poetry in steps (Example: Boil beans and make soup) Dynasty: Wei and Jin Author: Cao Zhi 11. Poetry in seven steps (Example: Boil beans and burn bean sprouts) Dynasty: Wei and Jin Author: Cao Zhi 12. Present a white horse to Wang Biao (Example: Visit Emperor Chengming Lu) Dynasty: Wei and Jin Author: Cao Zhi 13. Seven Sorrow Poems (Example: Border towns make the heart sad) Dynasty: Wei and Jin Author: Wang Can 14. Seven Sorrow Poems (Example: Jingman is not my hometown) Dynasty: Wei and Jin Author: Wang Can 15. Seven Sorrow Poems (Example: There is no chaos in Xijing) Dynasty: Wei and Jin Author: Wang Can 16. Dai He (Example: I am a crane on the sea) Dynasty: Tang Author: Bai Juyi 17. A hundred rhymes of poems written on behalf of others Wei Zhi (Example: Recalling the year of Zhenyuan) Dynasty: Tang Author: Bai Juyi 18. A leisurely walk in Luoyang Weir (Example: A new sunny day on Luoyang Weir) Dynasty: Tang Author: Bai Juyi 19. Hurt the house (Example: Whose family has Jia No.) Dynasty: Tang Author: Bai Juyi 20. Shangshan Road has a sense and sequence (example: the summer of the year before last) Dynasty: Tang Author: Bai Juyi 21. Tinghuai (example: Rao Bamboo Tree in the South) Dynasty: Tang Author: Bai Juyi 22. Tongwang Seventeen The concubine Li Liuyu and Zheng Er serve as imperial servants... (Example: A sad song and a drink) Dynasty: Tang Author: Bai Juyi 23. Chinese Valentine's Day (Example: Prefect Xianhuang tribe) Dynasty: Tang Author: Cui Guofu 24. Ode to history (Example: Yu Yu Song at the bottom of the stream) Dynasty: Wei and Jin Author: Zuo Si 25. Dai Dongwu Yin (Example: Master, please don’t make noise) Dynasty: Southern and Northern Dynasties Author: Bao Zhao 26. Preparing for a difficult journey (Example: Fengjun Jinhao’s fine wine) Dynasty: Southern and Northern Dynasties Author: Bao Zhao 27. Qingyangdu (Example: Jasper pounding clothes anvil) Dynasty: Southern and Northern Dynasties Author: Southern Dynasties Folk Song 28. Qilise (Example: The heart gathers in the autumn morning) Dynasty: Southern and Northern Dynasties Author: Xie Lingyun 29. People miss home every day ( Example: Spring is only seven days old) Dynasty: Southern and Northern Dynasties Author: Xue Daoheng 30. Passing by Wu Yuting after the chaos (Example: Looking back at the postal pavilion) Dynasty: Southern and Northern Dynasties Author: Yu Jianwu 31. Watching the bride park across the alley on Chinese Valentine's Day (Example: Across the alley away Stop) Dynasty: Sui Author: Chen Ziliang 32. Sleep peacefully (Example: Although the family is getting poorer) Dynasty: Tang Author: Bai Juyi 33. Five quatrains on illness (Example: Old age and illness follow each other in the world) Dynasty: Tang Author: Bai Juyi 34. Why don’t you come and drink seven poems (Example: Don’t hide in the mountains) Dynasty: Tang Author: Bai Juyi 35. Don’t become an official (Example: Seventy and become an official) Dynasty: Tang Author: Bai Juyi 36. Two poems are not allowed (Example: Basketball Tengteng An old man) Dynasty: Tang Author: Bai Juyi 37. Song of Everlasting Regret (Example: The Emperor of the Han Dynasty: Tang Dynasty: Tang Author: Bai Juyi 38. In July of the second year of Changqing, he left Zhongshusheren to guard Hangzhou,... (Example: : A man from Taiyuan) Dynasty: Tang Author: Bai Juyi 39. The full month of Ramadan is full of sadness (Example: One day without seeing is like three months) Dynasty: Tang Author: Bai Juyi 40. The sixteen rhymes of Chang Leli Xianju are also sent to Liu Shi The Five Dukes... (Example: Vanity Fair in the Imperial Capital) Dynasty: Tang Author: Bai Juyi 41. Repaying the Cow Xianggong's Palace in Early Autumn Fables Seen and Dreamed (Example: After the Mid-Qi in July) Dynasty: Tang Author: Bai Juyi 42. Rewarding Wu Qijianzhi (Example: There is a sick guest in Qujiang) Dynasty: Tang Author: Bai Juyi 43. Paying Yan to the Eighteen Langzhong Jianshi (Example: I am disgusted with the fragrance in my mouth and disgusting with orchid in my hand) Dynasty: Tang Author: Bai Juyi 44. First coming out of Lantian Road (Example: Stop and ask about the way forward) Dynasty: Tang Author: Bai Juyi 45. When Hu Cao was first removed, he was happy to express his ambitions (Example: The imperial edict was granted to Hu Cao) Dynasty: Tang Author: Bai Juyi 46. On a moonlit night in early winter, Huangfu arrived in Zezhou Notes and poems... (Example: Two or three chapters of Qing Ling Yu Yun) Dynasty: Tang Author: Bai Juyi 47. Boats supporting harps at night (Example: Birds perch and fish do not move) Dynasty: Tang Author: Bai Juyi 48. Three poems about leisurely residence in spring (Example: Tao Yun loves my house) Dynasty: Tang Author: Bai Juyi 49. Spring outing (Example: Get on your horse before going out) Dynasty: Tang Author: Bai Juyi 50. From Longtan Temple to Liaolin Temple, inscribe a gift to fellow travelers (Example: Mountain clogs and field clothes Six or Seven Sages) Dynasty: Tang Author: Bai Juyi All have 7 in them (not only the title also has 7 in it).
There are too many to write down, just check whichever one you want.
5. Looking for poems about mathematics~~Urgent
There are many poems that use poetry to express mathematical ideas and concepts.
For example, in the new curriculum high school mathematics textbook edited by Academician Zhang Jingzhong (the textbook is the new curriculum standard experimental textbook of Hunan Education Press), there is a poem in each chapter. For example, in the first chapter "Sets, Mappings and Functions", it is said: The sun sets, the moon rises, the fragrance of flowers and fruits, and the changes of things and the stars show the vicissitudes of life.
Cause and effect change and there are many connections. Is there a good way to overcome confusion? The foundation theory of set is rigorous, and the mapping function is pale and yellow. Looking at the list of pictures and talking about lifting, Kehai has tips for sailing.
When it comes to the second chapter "Exponential Functions, Logarithmic Functions and Power Functions", it says: The vast morning fog hinders traffic, and the mushroom core clouds cover the sky; The fossil years are cleverly calculated, and the text is written as fast as Wind. Exponents and logarithms complement each other, and cubes and squares are symmetrical; they can explain a thousand infinite things, and three families of functions have done wonders. After studying these two chapters, read them carefully and get a different feeling.
2. Poetry Mathematics Questions Mathematics is very abstract and boring. How to make mathematics easy to understand and popular with people? In this regard, ancient Chinese mathematicians have made many attempts. Songs and formulas are One of them allows people to feel the charm of poetry while solving mathematical problems. Starting from Yang Hui in the Southern Song Dynasty, Zhu Shijie, Ding Ju, Jia Heng in the Yuan Dynasty, Liu Shilong, Cheng Dawei in the Ming Dynasty, etc. all used the form of songs to propose various algorithms or used the form of poetry to propose various mathematical problems.
There are twelve mathematical problems in Zhu Shijie's "Four Yuan Jade Mirror" and "Or Wen Ge Lu", all of which are posed in the form of poetry. For example, the first question: "Today there is a square pond, with four feet of water on each side.
The two banks of Jia Sheng are long in shape, with thirty inches of water out. There is a kind of Pu growing on the east bank, and there is no zero in the water. .
If the jiapou is slightly flush with the water, how to determine the three parameters (water depth, pu length, and jiap length)? "There is a calculation method in the Yuan Dynasty called "Xingming Algorithm": "In ancient times, measuring fields was relatively smooth and long, and they all relied on ropes and rulers to measure. Although there are general methods for a shape, the method of square fields is easy to specify.
If you see eddies that are slanted and concave, you must straighten them up. Take it as a square. But the millet is actually a field plot, and the acres divided by two and four are strong.
"Algorithm Tongzong" written by Cheng Dawei in the Ming Dynasty is a popular and practical mathematics book, and it also incorporates numbers into poetry. Representative work. "Algorithm Tongzong" is a seventeen-volume book that was widely circulated in the late Ming and Qing Dynasties and made outstanding contributions to the popularization of folk mathematics knowledge.
This book took nearly 20 years to complete. Cheng Dawei was originally a businessman. While doing business, he collected arithmetic and writing books from various places and compiled them into songs and formulas. Boring mathematical problems are turned into beautiful poems, which are catchy and strengthen the affinity of popularizing mathematics. Cheng Dawei also has a similar mathematical poem about drinking with linear equations of two variables: "There are many drinkers in the restaurant, and the thin wine is famous for its honesty and mellowness."
One bottle of good wine will make three people drunk, and three bottles of thin wine will make three people drunk. One person. I drank nineteen together, and the thirty-three guests were drunk.
How much wine is there for a wise man? "The main idea of ??this poem is: One bottle of good wine can make three guests drunk; three bottles of thin wine can make one guest drunk. If 33 guests are drunk, they will drink 19 bottles of wine.
Question: How many bottles of good wine and thin wine are there? There is a problem in the famous "Sun Zi Suan Jing" that "the number of things is unknown". The original text of this arithmetic problem is: "Today there is something whose number I don't know. There are two left after counting threes and threes, three remaining after counting fives and fives, and two remaining after counting sevens and sevens. What is the geometry of the object? The answer is twenty-three.
< p> "This problem has been passed down to later generations and has had many interesting names, such as "Guigu Suan", "Han Xin's Order of Soldiers", etc. Cheng Dawei wrote a mathematical solution in the form of poetry in "Algorithm Tongzong": "Three people walking together are seventy rare, five trees have twenty-one plum blossoms, seven children are reunited on the first half of the month, divide by one hundred and five and you will know."This poem contains the famous "remainder theorem". That is to say, take the remainder of division by 3 and multiply it by 70, add the remainder of division by 5 and multiply it by 21, then add the remainder of division by 7 and multiply it by 15. If the result is more than 105, subtract the multiple of 105.
The result of the above problem is: (2*70)+(3*21)+(2*15)-(2*105)=23. There is also such a mathematical poem in the works of Indian scholar Bashikara: "The fragrance of frangipani flowers attracts bees to collect nectar.
There is an endless crowd of people flying into the flowers. I want to ask How many numbers are there in this group? Let’s analyze the conditions: half the square root of the whole, there are two more together; a ninth of the total is just playing games.
"If you list the irrational equation. After calculation, it can be concluded that there are 72 bees in this group. There is also a mathematical poem about lotus: "The water of the plain lake is clear and can be seen, and red lotus grows half a foot on the stone; it stands upright and unstained out of the mud, and is suddenly blown to the clear water."
The fisherman watched and hurriedly looked towards the water. In front of me, the flower is two feet away from its original position. If you can calculate it, please solve the problem. How do you know the depth of the lake? "This is such a poetic algebra problem! You see, the length of the red lotus growing in the lake is half a foot above the lake surface. It is blown to one side by the wind. The distance between the flower on the top of the red lotus and the original water surface is 2 feet. How deep is the lake? According to the Pythagorean theorem, the depth of the lake is 3.75 feet. 3. Numbers incorporated into poetry: The most common number incorporated into poetry is one.
Although "一" is a numerical concept, in fact, properly applying the word "一" to poetry will produce beautiful artistic effects. For example, Chen Qiufang, a poet of the Qing Dynasty, wrote a poem with the word "一" titled "Picture of Fishing Alone on the Autumn River": "A sail, an oar, a boat, a fisherman and a fishing hook, a bow and a smile, a bright moon on the river. One River in Autumn
"When Li Yu, the later master of the Southern Tang Dynasty, was in power, he wrote two inscriptions for the "Picture of Fishing on the Spring River" by the court painter Wei Xian: "The waves are full of snow, and the peaches and plums are speechless. A team of spring; a pot of wine, a pole, how many people in the world are like peasants. "A spring breeze, a boat, a cocoon, a light hook; the flowers are all over the country, the wine is all over the pot, and you are free in the vast expanse of waves."
"The images of free and easy fisherman are vividly portrayed. Another example is a poem from the Yuan Dynasty called "The Wild Geese Falling with Their Belts to Get Victory": "One year after another, one day after another, one autumn after another, one generation urges the other, one gathering and one parting, one suffering. A sadness.
Lying on the same bed, in a dream all my life, looking for an acquaintance. He and I are in the same place, and we all know each other. Play once and sing once. "22 poems. The constant repetition of the word "一" reflects the illusory misery of life.
The way of writing is strange and it uses slang to win. Some poems have numbers from one to ten embedded into the poem.
Shao Kang, an acting scholar of the Song Dynasty, said: "After going two or three miles, there are four or five houses in Yancun, six or seven pavilions, and eighty or ninety flowers." The beauty of this poem lies in the sequence of ten chapters embedded in it. A few basic numbers and a few words depict a quiet and elegant pastoral scene, arousing people's endless emotions and fascination.