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.
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. What are the ancient poems about "Mathematics"? Lun Xuwen came back one by one, three, four, five, six, seven and eight.
Phoenix has so many birds that it pecks at thousands of stones in the world. Analyzing poetry with odd numbers is a kind of poetry.
There are numbers as the topic, and numbers are embedded in poems, similar to word games. Why is the title of this article Hundred Birds? There are answers in the poem.
The sum of two ones, three fours, five sixes and seven eights is one hundred (1+1+3 * 4+5 * 6+7 * 8 =100). 2. Is the mountain village in love with Song? By the time Shao Yong got to Ersanli, there were already four or five smoke villages.
The pavilions are six or seven, and the flowers bloom in eighty or ninety. To analyze digital poetry is to embed numbers in the poem and combine them with other words, so that the whole poem can be integrated.
The poet used the method of "counting primary schools" to bring together the beautiful scenery of the countryside, which is easy to understand, as if the picture was in front of him. 3, the topic Qiu Jiang fishing alone figure Tang? Wang Shizhen has a boat, a thread and an inch hook.
Sing a song, drink a bottle of wine, and catch a river alone. Analyzing a one-character poem means that there are many "ones" in the poem, so the similar items are "ones".
The word "one" has the fewest strokes, but under the ingenious arrangement of the poet, it can turn plain into magic. This kind of poems mostly use line drawing technique, which makes readers have a strong sense of substitution.
4, to the fortress (Tang) Wang Wei bicycle wants to ask the side, belonging to the country. 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.
This paper analyzes Wang Wei's "To the Fortress" that "the desert is lonely and straight, and the long river sets the yen". The first half of the sentence outlines the vertical spatial relationship between the "solitary smoke" straight line and the "desert" plane, while the second half describes the relationship between the circle and the horizon from separation, tangency to intersection. 5, quatrains (Tang) Du Fu, two orioles singing green willows, a line of egrets on the sky.
My window framed the snow-covered western hills. My Gate often says "goodbye" to ships heading east. Through the analysis of Du Fu's quatrains, the point, line, surface and body in mathematics are vividly described.
From a mathematical point of view, the first sentence "two orioles" describes two points; The second sentence "a line of egrets" describes a line; The third sentence, "The window contains a thousand autumn snows in Xiling", describes a face; The fourth sentence, "Wan Li Ship in Mengbo Wu Dongzhong" describes a space body.
4. Poems related to mathematics: two orioles singing green willows and a line of egrets ascending to heaven to make the west cool, one boat moored in Wan Li, two little 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.
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 answered: Take three or three, and multiply the remainder by seventy; 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 from five to five ... "Huang Rong said," Don't recite like this. I'll read you a poem, which will be easy to remember: three people are seventy, five trees are twenty-one, seven children are reunited for half a month, and the rest will be known.
(2) Jiugongge arranges 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 answered: In the meaning of the Nine Palaces, the Buddhism takes turtles as shoulders, turtles as feet, turtles as feet, turtles as left, turtles as right, turtles as left, turtles as left, turtles as right and turtles as right.
This is very simple, you should only need to explain "wearing nine shoes and one shoe": 9 is on top, 1 is below.
6. Wuhou Temple, all the ancient poems about Du Fu in primary school.
Yisi Danqing Valley
The whole mountain was abandoned, only overgrown with weeds and futile growth.
I still hear what my late master said.
No longer lying in Nanyang
Eight sides fortress
The divided Three Kingdoms are bound by his greatness.
He is famous for his stone fortress.
Beside the changing river, it stands like a stone like his sadness.
He never conquered Wu.
Guiyan
Donglaiwan like
Randomly decide how many years to return.
Heartbroken Jiangcheng Goose
Fly high to the north
Meet Li Guinian at the lower reaches of the river
Common sights of Qi King's Mansion
Whenever I hear you sing in the noble hall.
The scenery in Jiangnan is now the most beautiful.
It's a pity that we will meet in the falling season.
Wang yue
What a magnificent scenery Mount Tai is! Endless green spans Qilu and Qilu. ..
The magical nature brings together thousands of beautiful mountains in the south and the separation between morning and dusk in the north.
Caiyun lave? My mind is free and easy, and birds fly back and forth in front of my nervous eyes. ,
Try to climb to the top of the mountain: it dwarfs all the peaks under our feet.
To Wei Ba Chu Shi.
It is almost as difficult for friends to meet each other as the stars in the morning and evening.
Tonight is a rare event, and this lamp is candlelight.
Two men who were young not long ago are now gray at the temples.
It shocked us to find that half of our friends had died, which made us sad.
We didn't expect that it would be twenty years before I could come to see you again.
You were unmarried when I left, but now these boys and girls are in a row.
They were very kind to their father's old friends. They asked me where I went during the trip.
Then, when we talked for a while, they brought me wine and dishes.
Spring chives are cut in the night rain, and brown rice is cooked fresh in a special way.
My host announced that it was a festival, and he urged me to drink ten cups.
But what kind of ten glasses of wine can make me so drunk, because your love is always in my heart. .
The mountains will separate us tomorrow. Who can say for sure after tomorrow? .
beauty
Who is cuter than her? However, she lives alone in an empty valley.
She told me that she came from a good family and now she is humble to the dust.
When the problem appeared in the customs area, her brother and close relatives were killed.
What's the use of them in high positions, they can't even protect their own lives? .
The world is dismissive of adversity, and hope will go out like the light of a candle.
Her husband, with a wandering heart, is looking for a new face like jade.
When the morning glory is rolled up at night, the mandarin ducks lie side by side.
All he can see is the smile of his new love, but he can't hear the cry of his old love!
The stream is pure at the source of the mountain, but its water turns dark far away from the mountain.
Wait for her maid to come back after selling pearls, and then she needs straw to build the roof.
She picked some flowers, not for her hair, but for letting pine needles fall from her fingers.
She forgot the thin silk sleeves and the cold, and leaned against a tall bamboo.
One of Bai's two poems
When death is the reason for parting, people will cry, but life leaves again and again.
You didn't bring me any signs of exile in the poisonous humidity of the southern river.
Until you appeared in my dream last night, because I have been thinking about you.
However, how can you raise your wings and use them from the middle net of your net? ?
I doubt it's really you, venturing a long way.
You came to me through the green forest, and you disappeared in front of a dark castle.
I woke up, and the low moon flashed on the rafters, as if it were your face, still floating in the air.
There is water to pass through. They are wild. If you fall, there will be dragons and monsters in the river.
The second of two poems-Li Bai's dream
Clouds are floating in the sky, but old friends have gone for a long time.
I see you in my dreams every night, and you know what you mean to me.
The difference is that you always look in a hurry and always talk about how easy it is to meet.
There are many dangerous waves on the rivers and lakes, and I am worried that your ship will capsize and sink.
When he went out, he scratched his head with white hair and regretted that he had failed his life.
Gao Che Li Fu is the capital, and you are brilliant, and you are haggard.
Who can say that the principle of justice is not Qiren in old age, but innocent bondage?
Even if there is a good name handed down from generation to generation, it is difficult to make up for the sad loss.
spring scenery
Chang' an fell, the country was broken, and only the mountains and rivers remained; Spring has come, and the sparsely populated Chang' an city is densely forested.
Sad state, can not help but burst into tears, amazing birds, leaving sorrow and hate.
The war lasted for more than half a year, and letters from home were rare, with a hundred thousand gold.
Twisting with melancholy, scratching my head and thinking, the more I scratch my white hair, I can hardly insert a hairpin.
Climbing Yueyang Tower
I heard that Dongting Lake is magnificent before, but today's wish has finally reached Yueyang Tower.
The vast lake tore Wu Chu apart, as if the sun, moon and stars were floating in the water.
There is no news from my friends or relatives. I am old and sick, drifting in a boat.
The battle of the north gate began again, and I cried through the railing.
Quatrain
"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.
7. What are the poems with mathematical knowledge? 1, "Spring Hope" Tang Du Fu?
Chang' an fell, the country was broken, and only the mountains and rivers remained; Spring has come, and the sparsely populated Chang' an city is densely forested.
Sad state, can not help but burst into tears, amazing birds, leaving sorrow and hate.
The war lasted for more than half a year, and letters from home were rare, with a hundred thousand gold.
Twisting with melancholy, scratching my head and thinking, the more I scratch my white hair, I can hardly insert a hairpin.
2, "Jueju" Tang Du Fu
"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.
3, "Mu Jiang Yin" Tang Bai Juyi
A sunset gradually sank into the river, half green and half green.
The loveliest thing is the ninth day of September. The bright pearl's bright crescent moon is shaped like a bow.
4, "Shu Xiang" Tang Du Fu
Where is the temple of the famous prime minister? It is in a deep pine forest near the Silk City.
The steps are dotted with green grass in spring, and birds are chirping happily under the leaves.
Diligent in taking care of the world, he gave his heart to both generations.
But before he conquered, he died, and since then the heroes have been crying on their coats.
5, "Farewell" Tang Du Mu
Frustrated, he roamed the rivers and lakes with wine, indulging in Wang Xi women's Yu Chuling and Zhao Feiyan's slender waist dancing.
Yangzhou's ten years, like a dream, wake up, but in the brothel women this is a fickle reputation.
8. Ancient poems about mathematics must have 20 words, and 20 words must have 20 words, two 1. Once you go to the second or third mile, there are four or five smoke villages. The pavilions are six or seven, and the flowers bloom in eighty or ninety. 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.
2. One, two, three or four tablets. Five, six, seven or eight. Nine dollars, ten dollars, countless dollars, all missing when flying into Mei. 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. From less snowflakes to more snowflakes, I can't tell whether it is snowflakes or plum blossoms.
3. One nest, two nests, three or four nests, five nests, six nests, seven or eight nests. Eat up the royal millet, and there are few phoenixes. 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.
4. One pole, one paddle, one fishing boat, one fisherman and one hook. With a bow and a smile, one person monopolizes a river. These are ten "One" poems written by Ji Xiaolan in Qing Dynasty. It is said that when Emperor Qianlong was on a southern tour, one day he saw a fishing boat paddling on the river, 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 the scenery and modality, which was natural and appropriate and full of charm.
1. Two orioles singing green willows and a row of egrets flying into the sky. My window framed the snow-covered western hills. My door often says "goodbye" to ships heading east-Don Du Fu's quatrains
2. A farewell, the two places are linked together, only in March and April. Who knows that in five or six years, the lyre was unintentionally played, the eight-part essay could not be passed down, and the nine-ring chain was never interrupted. The ten-mile pavilion was worn in a hurry, and it was puzzling, and the strange lang was helpless.
A thousand words, bored to see the lonely geese in Chongyang in September, and the full moon in Mid-Autumn Festival in August is not round. In July and a half, I burned incense and held candles to ask the sky. In the dog days of June, everyone shakes his heart. In May, the pomegranate was red as fire, but the flowers were watered by cold rain. April loquat is not yellow, I want to look in the mirror, and I am chilling. Peach blossoms turn in March, and I fly kites in February. Hey! Lang Lang, I can't wait for you to be a woman and I will be a man in my next life. -Han Zhuo Wenjun's poem "Complaining Lang".
3. One piece, two pieces, three or four pieces, five pieces, six pieces, seven pieces, eight pieces, ninety pieces, a thousand pieces, countless pieces, but you fly into the plum blossom, but you will never see it. -Zheng Qing Banqiao "Singing Snow"
4. One year old, one day without a day, one autumn after another, one generation urges the next. 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. -Yuan Anonymous "Wild Goose Falling with Victory"
5. In the 23rd mile, there are four or five smoke villages, six or seven pavilions and eighty or ninety flowers. -Song Shaoyong's "Mongolian Poetry"