1, Poems of Mountain Villages

Shao Yong (Northern Song Dynasty)

Once you walk two or three miles, there are four or five smoke villages.

The pavilions are six or seven, and the flowers bloom in eighty or ninety.

2. Xue Mei

(Ming) Lin Hejing

One, two, three or four, five, six, seven or eight.

Nine dollars, ten dollars, countless dollars, all missing when flying into Mei.

3. Always in my heart

(Qing) Huang Huanzhong

A hundred-foot-high tower and countless streams, Shu Yun sent it to western Liaoning in August and September.

Suddenly I heard the geese flying in pairs in February. I hate chickens crowing in the middle of the night.

May and June are empty, but 7 thousand is not even close to hate.

Half my life is a lonely shadow, and ten years of sorrow is accompanied by cuckoo crying.

4. "The Vow of Happiness"

(Tang) Luo

Alas, this is a difficult road. The hills hate each other, and when they talk and laugh, they are happy.

It's getting late in the suburbs of Xiaosuo, and the deserted wells and lanes are deserted. People who are guests outside the door will be safe.

Where is the land in Artemisia and the mound in Songmen? One hundred years and thirty thousand days, separated by thousands of years.

5. "quatrains"

Du Fu (Tang Dynasty)

"Two orioles sing green willows, egrets sky-high." Outside my window is the snowy Western Hills. My door often says "goodbye" to ships sailing eastward.

6, "successful summit"

(Tang) Wang Wei

Riding a bike to visit the border and passing through Juyan County. Pengpeng also floated out of Korea, and the geese heading north also flew into the sky. The vast desert is lonely, and the Yellow River sets the yen. When Xiao Guan met the waiting officials, he was protected by Ran Yan.

7. "It's hard for me to go"

Tang Dynasty: Li Bai

The cost of pure wine is a gold cup, 10 thousand copper coins and a hip flask, and I am ashamed of 10 thousand yuan. I threw the food bar and cup aside. I couldn't eat or drink. I pulled out my dagger. I peeped in four directions in vain. I want to cross the Yellow River, but ice will block the ferry and Taihang Mountain will be covered with snow.

8. Song of the Eight Immortals in Drinking

Du Fu (Tang Dynasty)

Li Bai wrote hundreds of poems about fighting wine and went to sleep in a restaurant in Chang 'an.

The son of heaven didn't get on the boat, calling himself Brewmaster.

9. Title Cylinder Wall

(Song) Su Shi

Looking at Lushan Mountain from the front and side of peaks and valleys, from far, near, high and low places, Lushan Mountain presents various faces. I can't recognize the true face of Lushan Mountain because I am there.

10, "Jieke Youth Field Visit"

(Tang) Li Bai

Yan Zima has a pair of golden eyes, and Ma Si shakes its beautiful green mane around its neck. It running all the way, at dawn, came to Chang 'an Luomen. When he was young, he studied Mattler de Ames and Mattler de Ames. The white ape was defeated by young people and flew into a branch as an ape.

The boy was wearing a brocade robe inlaid with precious stones, with a dagger and Wu Gou pinned to his waist. He is a man of ten thousand people, and now he has a sword in his waist. Friendship and brave people, two friends, like before, together with new wine and wine.

Youth ambition, even in the city, can end a person's life between a glass of wine.

1 1, drinking four poems of the bright moon alone

(Tang) Li Bai

Flowers in the next pot of wine, no friends, drink alone. Raise my cup, I invite the bright moon, which brings me its shadow and makes us three people. The moon doesn't know how to drink, but the shadow in front of it is behind. I have to mingle with them and enjoy the happiness of spring.

12, "wine asks the moon"

(Tang) Li Bai

When will the moon appear in the blue sky? I'll stop for a drink and ask. The moon will never reach the moon, but it is very close to the people.

Green smoke as bright as a mirror is flying in the palace, emitting cold light. I only see the clouds rising from the sea every night, and who knows the clouds in the morning?

13, "Building on the border"

(Tang) Xue Tao

Lin Ping is full of clouds and birds in autumn, and forty states of Xichuan are crushed. The general is not greedy for Qiang horses, but will meet him.

14, "plum blossom quatrains, part I"

(Song) Lu You

The flowers are full of wind, and the snow drifts all over the four mountains. How can it be converted into hundreds of billions, one plum blossom and one tree fragrance?

15, Peach Blossom in Dalin Temple

(Tang) Bai Juyi

In the world of April, the flowers have withered, and the peach blossoms in the ancient temples have just bloomed. I want to find a place where my life is dying, but I don't know that it has been moved here.

There are many ancient poems about numbers. Take "Pagoda with Lights" as an example:

First of all, pagoda lights.

This is a topic in Nine Chapters Algorithm Analogy written by Jason Wu, a mathematician in Ming Dynasty. The topic is:

Looking at the towering seventh floor from a distance, the red light doubled.

* * * light three hundred and eighty-one. How many lights are there on the top floor?

Solution:

Sum of multiples of each layer:

1+2+4+8+ 16+32+64= 127

Number of lights on the top floor: 38 1÷ 127=3 (lights)

Second, the introduction of the work:

Jiuding acid hair blue boxing, also known as Jiuding blue boxing. Arithmetic in the early Ming Dynasty. The first volume of ten volumes was written by Jason Wu in Ming Dynasty, and it was written in 1450.

The preface of this book is "Examples of Multiplication and Division", which aims to explain the basic theory of the algorithm. This paper lists four operations, such as large number notation, decimal notation, unit of measurement and integer fraction, positioning, square root and difference, and explains them one by one in the form of poetry. The preface also puts forward a "writing algorithm" that has never appeared in China's mathematical works: draw squares according to the number of digits multiplied by two digits. Choose a direction to draw the diagonal of each cell, write the product of every two numbers in the corresponding cell, write it according to the rule that ten digits are above and one digit is below, and then add the diagonal lines one by one to get the digits of the required product. Volumes 1 to 9 are a compilation of solutions to more than 65,438+0,400 application problems, which follow the arithmetic style of nine chapters and belong to "Xiaomi, Decline, Shaoguang Monk". Poetry is expressed in rhyme; The algorithm of the analogy system is similar, combined with the practical application problems at that time, including commodity exchange, partnership management, interest calculation, marking on things (paying fees by commodity pricing) and so on. Volume 10 "Various squares", including square root, square root, high power, and the band from the sum of squares to the cube, uses the method of "standing open" instead of "increasing, multiplying and opening".

Three. About the author:

Jason Wu, whose real name is Xinmin, is a master. Zhejiang Renhe (now Hangzhou) people. Former Minister of State of Zhejiang Shogunate. The date of birth and death is unknown, living in the 15th century 1450 or so. China was a mathematician in Jingtai period of Ming Dynasty. He wrote nine chapters on algorithm comparison.

3. Poetry about mathematics, originally published in Zhuzubai128.

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 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 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,

4. 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?

5. 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.

6. Poetry 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 bend down and enjoy themselves.

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?

7. 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 relatives when they go out to the sun.

8. Poems 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!"