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. In the ancient poem "Legend of the Condor Heroes" about mathematics, Guo Rong turned to Ying Gu for help, and Ying Gu gave a test. On several math problems, Huang Rong said two math poems.
(1) Today, things are unclear. Three or three numbers leave two, five or five numbers leave three, and seven or seven numbers leave two. What is the geometry of things?
There is a pile of things, I don't know exactly how many, but I know that dividing the total by 3 is greater than 2, dividing by 5 is greater than 3, and dividing by 7 is greater than 2, so we can find out the number of this pile of things.
Huang Rong replied:
Take the number of 3 and 3 and multiply the remainder by 70; Five or five, the remainder multiplied by twenty-one; The number of seven plus seven times fifteen. Add the three together, if it is not more than 105, it is the answer, otherwise 105 or its multiple must be subtracted. Ying Gu thought for a moment, and sure enough, she whispered, "Three times three, the remainder is multiplied by seventy; Count to five or five ... "Huang Rong said," Don't recite like this. Let me read you a poem, which is easy to remember:
The three of them traveled seventy times, five trees and twenty-one branches, and the seven sons reunited for only half a month, I learned.
(2) Jiugongge
Arrange nine numbers from one to nine in three columns, and every three words add up to fifteen, regardless of vertical and horizontal oblique angles.
Huang Rong replied:
In the sense of the Nine Palaces, Buddhism takes Gui Ling as the shoulder, 24 as the shoulder, 86 as the foot, 3 as the left, 7 as the right, 9 as the shoe and 5 as the heart.
This is very simple, you should only need to explain "wearing nine shoes and one shoe": 9 is on top, 1 is below.
3. Poems about mathematics include:
First, the "mountain village"
Author: Shao Yong (Northern Song Dynasty)
At first glance, it is two or three miles away, and mist hangs over four or five families.
The pavilions are six or seven, and the flowers bloom in eighty or ninety.
Translation:
At first glance, two or three miles away, mist enveloped four or five families.
There are six or seven pavilions beside the village, and many flowers are in full bloom.
Appreciation: The poet used the method of "counting primary schools" to bring beautiful villages together, which is easy to understand, as if the picture was in front of him.
Second, "Qiu Jiang's solo fishing map"
Author: Wang Shizhen (Tang)
A boat with a hat, a silk and an inch-long hook.
Sing a song, drink a bottle of wine, and catch a river alone.
Translation:
Sitting on the boat, wearing a hat and a hemp fiber, the fishing line is one foot long and the hook is one inch long.
Sing a fishing song loudly, drink a bottle of wine, and fish on the river alone this autumn.
Iii. Ode to Snow
Author: (Qing)
One, two, three or four, five, six, seven or eight.
Thousands of pieces are always missing when they fly into plum blossoms.
Translation:
Snowflakes fall from the sky one after another, and the whole world is white.
The falling snowflakes fall into the reeds and blend with the white reeds, which is difficult to distinguish.
Appreciation: People use numbers mainly to show the beauty and elegance of the snow scene, and show a scene of heavy snow in front of people, as if the snow scene is in front of readers, making people feel immersive.
Fourth, "quatrains"
Author: Du Fu (Tang)
"Two orioles sing green willows, and egrets cover the sky."
My window framed the snow-covered western hills. My door often says "goodbye" to ships sailing eastward.
Translation:
Two orioles are singing among the green willows, and a row of egrets are flying in the blue sky.
The scenery of Xiling Snow Mountain seems to be embedded in the window, and ships coming and going to Soochow are parked by the door.
Five, "Xijiang Moonlight Walking on the Yellow Sand Road"
Author: Xin Qiji (Song)
The moon on the horizon rose to the top of the tree, scaring away the magpies perched on the branches. The cool evening breeze seems to have spread to cicadas in the distance.
In the fragrance of rice and flowers, people talk about the harvest of a year, and frogs croak in their ears, as if in a bumper harvest year. In the old days, Maodian was near the forest, and the road turned to the stream bridge.
Translation:
The bright moonlight swept the branches, scaring the magpies away from them, and the cool evening breeze seemed to hear cicadas chirping in the distance. In the fragrance of rice flowers, people are talking about the harvest year, and there are bursts of frogs in their ears.
The sky is cloudy and starry, flickering, and there is a light rain in front of the mountain. The old thatched cottage is still next to the Woods of the earth temple. When the road turns the source of the stream, it suddenly appears in front of you.
Appreciation: The author described the beautiful summer night in the countryside with his specific feelings in Night on Huangsha Road. The image is vivid and vivid, the feelings are cordial and delicate, and the brushwork is light and lively, which makes people feel realistic.
4. 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.
5. Poems related to mathematics: two orioles singing green willows and a line of egrets ascending to heaven to make the west cool, Wan Li in Soochow berthing a boat, Joe and Xiao Qiao, three inches golden lotus and four inches waist.
I bought 567 packets of powder and dressed beautifully. Zhuo Wenjun: Sima Xiangru's wife.
Masterpiece digital poetry: After a farewell, the two places hang together. They all say March and April, but who knows five or six years.
The lyre has no intention to play, and the eight-character book can't be passed down. The nine-ring chain has never been interrupted, and the Shili Pavilion is in a hurry! A hundred ideas, a thousand ideas.
Despair, strange lang. A thousand words can't be finished, and you are bored.
Chongyang climbs to see the lonely geese, and the full moon in August is not round. In July and a half, I burned incense and held candles to ask heaven. 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, I look in the mirror, am utterly confused.
In a hurry, the peach blossoms turn with the water in March; It fell and fell, and the kite string was broken in February. I hope that in the next life, you will come as a woman and I will be a man. Emperor Qianlong's Flying Snow is one after another, two, three, four or five.
Six dollars, seven dollars, and eight or nine dollars are all missing when flying into the reed flower. In the Yuan Dynasty, The Order of Wild Goose Winning by Anonymous was getting older and older every year, and it was getting autumn and urging from generation to generation.
Meeting and parting, we have happiness and sadness. Lying on the sofa, dreaming all my life.
Find a group of acquaintances, meet for a while, play for a while, and sing for a while. Mr. Huang Kan's "One Two Three Four Five Six Seven Eight Nine Hundred Million Half Pair Two": A Zhang Hong with a stronger voice than Xi and Liu Si with a thousand feet of Liu Lanxi.
Swallows with two nests are difficult to learn, and half pillows often hate chickens for five nights. Nine days of physical and mental dreams, thousands of clouds and waters all around.
Ten out of ten, 70% to 80% is a virtual image, and three spring wins two tears. Zhuo Wenjun: Sima Xiangru's wife.
Masterpiece digital poetry: After a farewell, the two places hang together. They all say March and April, but who knows five or six years.
The lyre has no intention to play, and the eight-character book can't be passed down. The nine-ring chain has never been interrupted, and the Shili Pavilion is in a hurry! A hundred ideas, a thousand ideas.
Despair, strange lang. A thousand words can't be finished, and you are bored.
Chongyang climbs to see the lonely geese, and the full moon in August is not round. In July and a half, I burned incense and held candles to ask heaven. 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, I look in the mirror, am utterly confused.
In a hurry, the peach blossoms turn with the water in March; It fell and fell, and the kite string was broken in February. I hope that in the next life, you will come as a woman and I will be a man. Emperor Qianlong's Flying Snow is one after another, two, three, four or five.
Six dollars, seven dollars, and eight or nine dollars are all missing when flying into the reed flower. In the Yuan Dynasty, The Order of Wild Goose Winning by Anonymous was getting older and older every year, and it was getting autumn and urging from generation to generation.
Meeting and parting, we have happiness and sadness. Lying on the sofa, dreaming all my life.
Find a group of acquaintances, meet for a while, play for a while, and sing for a while. Mr. Huang Kan's "One Two Three Four Five Six Seven Eight Nine Hundred Million Half Pair Two": A Zhang Hong with a stronger voice than Xi and Liu Si with a thousand feet of Liu Lanxi.
Swallows with two nests are difficult to learn, and half pillows often hate chickens for five nights. Nine days of physical and mental dreams, thousands of clouds and waters all around.
Ten out of ten, 70% to 80% is a virtual image, and three spring wins two tears. Zhuo Wenjun: Sima Xiangru's wife.
Masterpiece digital poetry: After a farewell, the two places hang together. They all say March and April, but who knows five or six years.
The lyre has no intention to play, and the eight-character book can't be passed down. The nine-ring chain has never been interrupted, and the Shili Pavilion is in a hurry! A hundred ideas, a thousand ideas.
Despair, strange lang. A thousand words can't be finished, and you are bored.
Chongyang climbs to see the lonely geese, and the full moon in August is not round. In July and a half, I burned incense and held candles to ask heaven. 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, I look in the mirror, am utterly confused.
In a hurry, the peach blossoms turn with the water in March; It fell and fell, and the kite string was broken in February. I hope that in the next life, you will come as a woman and I will be a man. Emperor Qianlong's Flying Snow is one after another, two, three, four or five.
Six dollars, seven dollars, and eight or nine dollars are all missing when flying into the reed flower. In the Yuan Dynasty, The Order of Wild Goose Winning by Anonymous was getting older and older every year, and it was getting autumn and urging from generation to generation.
Meeting and parting, we have happiness and sadness. Lying on the sofa, dreaming all my life.
Find a group of acquaintances, meet for a while, play for a while, and sing for a while. Mr. Huang Kan's "One Two Three Four Five Six Seven Eight Nine Hundred Million Half Pair Two": A Zhang Hong with a stronger voice than Xi and Liu Si with a thousand feet of Liu Lanxi.
Swallows with two nests are difficult to learn, and half pillows often hate chickens for five nights. Nine days of physical and mental dreams, thousands of clouds and waters all around.
Ten out of ten, 70% to 80% is a virtual image, and three spring wins two tears.
6. Poems about Mathematics The majestic ancient temple is in the mountains. I wonder how many monks there are.
364 bowls, depending on the week.
Three people eat a bowl of rice and four people eat a bowl of soup.
Excuse me, sir, how many monks are there in the temple?
There are 364 bowls in the temple. If three monks eat a bowl of rice and four monks eat a bowl of soup, then each monk will have something to eat. How many monks are there in the temple?
"It's not bad every week" means it's very accurate, and that's it in the later calculation, not bad at all.
Obviously, this algebra problem can be solved by junior high school students with a little brain-let the number of monks be x and list the following algebraic expressions: x/3+x/4=364, x=624.
2. Hundred sheep problem
Cheng Dawei, a great mathematician in Ming Dynasty, wrote a book "Arithmetic Unity", in which there is a mathematical application problem in the form of poetry, called the Hundred Sheep Problem.
A drives the sheep to chase the grass, and B pulls A's sheep behind.
Do you want to ask A and 100? Jia Yun said there was no difference,
Combine the obtained groups, and then join the small semi-group of semigroup.
You must come alone. Who can guess the mystery?
A shepherd is driving a flock of sheep to find a place with lush grass. A man with a sheep came from behind and asked the shepherd, "Do you have 100 sheep?" The shepherd said, "If I have another flock of such sheep, plus half of this flock and 65,438+0/4 flock of sheep, plus your sheep, it will be exactly 65,438+000." Who can find out how many sheep are in this flock by clever methods?
The solution to this problem is:
( 100- 1) ÷ ( 1+ 1+ 1/4) = 36.
3. Li Bai drinks
Li Bai is walking in the street, playing with wine with a pot;
When you meet a store, double it, see flowers and drink a bucket;
I met the shop flower three times and drank all the wine in the pot.
How much wine is there in the hip flask?
This is a folk math problem. The meaning of the question is: Li Bai is walking in the street, drinking with a hip flask. Every time he meets a hotel, the capacity in the hip flask doubles, and every time he meets flowers, he drinks a barrel (barrel is an ancient unit of capacity, 1 barrel = 10 liter). In this way, he met the flowers three times in the shop and finished the wine. How much wine is there in the hip flask?
This problem is solved by an equation. Let there be x barrels of wine in the pot. [(2x-1) * 2-1] * 2-1= 0, and the solution is x=7/8.
4. One hundred monks
Cheng Dawei, a great mathematician in the Ming Dynasty, wrote "Arithmetic Unity" with such a problem:
One hundred buns and one hundred monks, but three big monks did not increase;
One of the three young monks, and how many big and small monks?
This problem can be solved by hypothesis. Now suppose there are 100 big monks.
(3* 100- 100)÷(3- 1÷3)
=75 people .......................................................................................................................................................................
100-75=25 (person) Number of big monks
5. Dumb people buy meat
This is also a calculation problem in Cheng Dawei's Arithmetic Unity:
Dumb people come to buy meat, the amount of money is hard to say, 40 yuan less per catty,
92 is more than 16. How much meat did you eat today?
7. The following ancient poems describing mathematics are taken from the Internet:
1. Arithmetic solution of ancient poetry application problems 1. There are countless chickens and rabbits in the same cage, and 35 heads are exposed in the cage. It seems to have 94 feet, and there are many chickens and rabbits. The solution assumes that rabbits are biped on the ground, the number of feet on the ground is 35X2-70, and there are 94-70-24 (feet) in the sky, so the number of rabbits is 20. The number of chickens is 35- 12=23 (only). 2. Monks are divided into 100 steamed buns and 100 monks, and there is no dispute about the three big monks. Three little monks are divided into one, and there are several big monks. According to the poem, four steamed buns are just four monks, one of whom is a big monk and three are small monks, so there are 100+4-25 big monks. I don't know the number of crow trees. Three are sitting on a tree, five are not going anywhere, five are sitting on a tree, and one is idle. Can you count the number of crow trees you see? The tree is (5+5)-(5-3)-5 (a tree), and the crow is 3×5+5 = 20 (only).
8. Poems about Mathematics (1)
mathematics
Author: Waste (Modern)
Ten Numbers in Mathematics
Gather into an endless sea
Everyone rocks a boat.
No matter how much, it is difficult to land.
Ten-digit synthetic paper money
Every arithmetic problem is a song.
Some are out of tune, and some are beautiful.
Twenty-six letters dominate the unknown God.
Everyone scares you three points.
Lure you to find out.
Open your head.
Letters and numbers form a misty poem.
No matter how long you write, how long you write.
Rack one's brains to make sentences is always the only one.
A wonderful and unpredictable world composed of points, lines and surfaces.
Without thickness, it is a bottomless pit.
More empty than the sky. Numbers and shapes have no weight.
It's just heavier than Mount Tai.
More colorful than clouds
(2)
Mathematics in life
Author: Hong Fei (Modern)
The pursuit of life is like a ray in mathematics.
Only the starting point has no end, and the struggle is not limited to the goal.
The course of life is like the curve of a sine function.
Staggering, winding forward.
Don't be surprised by honor or disgrace, but deal with the constant waves.
Communication in life is like 1+2 in mathematics.
Even an unsolvable guess is a child's operation.
It can be complicated or simple.
The trajectory of life is like a fan and arc.
Pieces of beautiful memories, pieces of sealed time.
Life is complete only when it is connected together.
(3)
Love of mathematics
Author: Flora, a woman with the same wind (modern)
A person, a bridge, a flock of sheep, bent down, very happy.
One, two, three or four, five, six, seven or eight.
Thousands of pieces flew into the plum blossom and disappeared.
The solitary sail is far away from the sky and tends to infinity.
Just look at the Yangtze River sky flow, approaching zero.
Life is like a geometric curve.
There are twists and turns and ups and downs.
Honor and disgrace are not shocked, and the tide rises and falls.
Let nature take its course, flowers bloom and fall.
There is no jiazi in the mountains, and the cold does not know the year.
The clouds come to lie down, the wind comes to sit down,
The shadow of a flower on the wall is fragrant.
Like a cool breeze and bright moon, like dancing clouds and smoke.
Appreciate it, such as soaking in the spring breeze, refreshing and refreshing.
One life, two lives, three lives, three lives.
Iii
Have an indissoluble bond with mathematics
(4)
The vagaries of mathematics
Author: Flora, a woman with the same wind (modern)
The fickle mathematics, you have changed a lot.
You are unpredictable. You are very mysterious
In fact, you are just changing for happiness.
Become energetic and passionate.
The changing world is full of wonderful things.
Feel your change.
Understand the changing you.
Obsessed with changing you.
Like a mysterious woman
Change is your natural charm.
Once inside your body, you can
Turn complexity into simplicity, turn decay into magic
As always, I run to you with no regrets.
Your kingdom, my pursuit
(5)
Mathematical problems of the four seasons
Author: Liu Kefeng (Modern)
Spring is a problem of addition.
Blooming flowers are not spring.
Three or two peach blossoms outside the bamboo forest
Bring back the new swallows pecking at the soil.
Spring already exists.
Butterflies spy on the magnolia in front of the window.
Plus the kite behind you.
Spring has an answer.
Summer is a limit problem.
A large lotus with bright green leaves.
Infinite time of green apricots
When the flowers are still red and infinite.
Is the dream of every life.
The ferry of life paddles in the sound of frogs.
Autumn is a subtraction problem.
Autumn scenery shows the true colors of ink and wash.
The sound of wine flutes from tall buildings in the bright moon scattered into the city.
Homesickness lost a point.
Winter is an equation problem.
There is no sign of people or birds.
An unsolvable world
Persistent people must have an answer to comfort themselves.
Refer to the old man getting off the pole in a lonely boat.
What will be caught?