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.
2. 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. Three monks eat a bowl of rice, four monks eat a bowl of soup, and everyone has food. 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?
3. 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.
4. digital poetry: 1 After three months of war, a letter from home is worth a ton of gold.
2, two orioles singing green willows, a line of egrets on the sky. 3, poor September third night, dew like a pearl like a bow.
The third call aggravated his state affairs, and he gave his heart to two generations. 5. On the 19th, the sun and the moon are eight points round, seven talented people are six epilepsy, five more drums, four chickens and three songs, and they sleep with each other in February.
6. Yellow cranes no longer come and white clouds no longer fly. 7, ten years of life and death, do not think, unforgettable.
8. Feel the dream of Yangzhou for ten years and get the name of a brothel. 9. After all, the scenery of the West Lake is different from that at four o'clock in June.
10, but if you walk up a flight of stairs, you can broaden your view of 300 miles. 1 1, there are no birds in the hundred mountains and no footprints in the thousand paths.
12, thousands of words can't be written, which is annoying. 13, the nine-ring chain has been interrupted, and Shili Pavilion is eager to wear! 14. There are many restaurants near Wan Li Bridge. Who do tourists like to stay in?
15, the seventh day of July, in the Palace of Eternal Life, we secretly told each other in the quiet midnight world.
5. Find an ancient poem about numbers, which is very interesting. The Song Dynasty philosopher Shao Yong (Kang Jie)' s Poem of Learning from the Scriptures: a line of twenty or thirty miles, four or five smoke villages, six or seven pavilions, and eighty or ninety flowers. Emperor Qianlong of the Qing Dynasty once toured the mountains, met with heavy snow, and sang digital poetry, vividly depicting the scene of snowflakes falling and reed flowers merging: one after another.
. He, a poetess in Qing Dynasty, was good at writing digital poetry, using ten words in a row, and she didn't feel repetitive, so the scenery she wrote was picturesque.
A flower, a willow, a fish, a bird flying in the sunset. One mountain, one water, one temple, one yellow leaf and one monk return.
Luo Hongxian, a native of Jishui, Jiangxi Province in the Ming Dynasty, was the number one scholar in Jiajing period. Once he and his friends went to Jiujiang by boat and met a boatman who wrote a number couplet. The boatman wrote couplets: a lone boat, two businessmen, three or four hundred and fifty-six sailors, and the tent was lifted for seven or eight pages, which was ten miles away from Jiujiang.
This pair of me, after hundreds of years, no one can tell the difference. The ancients also made a couplet with ten figures, which summarized Zhuge Liang's life: receiving two States, arranging eight arrays, catching six in seven, and lighting forty-nine lights in front of the five-foot plain, with one heart only for three considerations.
After this couplet was written, no one could correct it for a long time. Later, someone finally made a couplet with five elements: take the west Shu, gather the south Yi, and reject things. In China's military account, Jin Mu's soil and grass were changed, and the water surface could be attacked with fire. According to legend, Su Dongpo and Xueyou went to Beijing to catch the exam. Because of the flood, it was difficult for the ship to travel and delayed the time. Seeing that they were going to be late for the exam, Xueyou sighed: It was already very late, sitting alone in a boat with two or three poets, using four oars and five sails and passing through six beaches and seven bays. Su Dongpo also encouraged him to join the league with numbers: after ten years of cold window, he entered 98 academies, but abandoned secular desires. He studied the Five Classics and Four Books hard and took two exams. Today, he must win The first part counts from one to ten, and the second part counts backwards from ten to one, which not only skillfully and appropriately uses numbers, but also vividly expresses the difficulty of students studying hard at a cold window and rushing to Beijing for exams.
Mathematics is abstract and boring. How to make mathematics easy to understand and loved by people? In this respect, Chinese ancient mathematicians have made many attempts, among which ballads and formulas are one. Starting from Yang Hui in the Southern Song Dynasty, Zhu Shijie, Ding Ju and Jia Heng in the Yuan Dynasty, Liu Shilong and Cheng Dawei in the Ming Dynasty all put forward various algorithms in the form of verse, or put forward various mathematical problems in the form of poetry.
There are twelve mathematical problems in Zhu Shijie's "Meeting with the Source" and "Or Asking Songs", all of which are put forward in the form of poems. For example, the first question: there is a square pool today, and every side stops.
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 pier is slightly flush with the water, so how to determine the three types (water depth, pier length and pier length)? Question 4: I have a pot of wine with upstream spring. Meet a store, double it, and each friend drinks a bucket.
The shop friend passed through three places and lost the wine in the pot. May I ask how much wine is in this pot?
Cheng Dawei's Algorithm Classic of Ming Dynasty is a popular and practical mathematical work, and also a representative work of digital poetry. Seventeen volumes of Algorithmic Tongzong, which was widely circulated in the late Ming and early Qing Dynasties, made outstanding contributions to the popularization of folk mathematics knowledge.
It took Cheng Dawei nearly 20 years to finish this book. At first, he was a businessman. When he was in business, he collected books on arithmetic and writing from all over the country and compiled them into ballads, turning boring math problems into wonderful poems, which made people catchy and strengthened the affinity of mathematics popularization. There is a problem of "I don't know the number of things" in the famous "Sunzi Suanjing".
The original text of this calculation is: "Today, the figures of some things are unknown. Three three numbers leave two, five five numbers leave three, and seven seven numbers leave two. What is the geometry of things? Answer 23. " This problem has been passed down to later generations, and many interesting names have appeared, such as "Guiguzi" and "Han Xin Point Soldiers".
Cheng Dawei wrote a mathematical solution in the form of a poem in "Arithmetic Unity": Seventy-three people walk together, five trees and twenty-one plum blossoms, and seven children reunite in the middle of the month. Divide by 105 and you will know. This poem contains the famous "remainder theorem".
That is, the remainder is divided by 3 times 70, the remainder is divided by 5 times 2 1, and the remainder is divided by 7 times 15. If the result is greater than 105, reduce the multiple of 105. The result of the above question is: (2 * 70)+(3 * 21)+(2 *15)-(2 *105) = 23 There is also a poetic answer to this question in a notebook in the Song Dynasty: three-year-old children are seventy sparse, and five leaves and twenty things are particularly strange.
Meet again at seven degrees, cold food is bright. In ancient times, the fifteenth day of the first month was called Shangyuan, so Shangyuan means 15, which is also called Qingming on the 16th. Cold food is the day before Tomb-Sweeping Day, so the Qingming on cold food means 105.
The two poems have the same solution, and the answer is 23. Cheng Dawei also has a similar drinking mathematical poem with binary linear equation: there are many people drinking in restaurants, and thin wine is named strong alcohol.
One bottle of good wine makes three people drunk, and three bottles of thin wine make one drunk. * * * drank 19 times, and all 33 guests were drunk.
Excuse me, Gao Ming is a scholar. How much alcohol does he have? The main idea of this poem is: a bottle of good wine can make three people drunk; Three bottles of thin wine can get the guests drunk. 33 guests were drunk and always drank 19 bottles of wine.
How many bottles of good wine and thin wine are there? In the Yuan Dynasty, there was a calculation book "Detailed Algorithm" about the method of measuring fields: the ancients measured fields for a long time and drew them by rope ruler. Although there is a form of universal law, only Tian Fang's law is easy to elaborate.
If you see the vortex inclined downward, you must make up for it. However, millet is actually a field product, and the method of dividing two acres or four acres is very strong.
In the Ming Dynasty, a talented scholar in Nanhai wrote a mathematical poem of Su Dongpo's "Birds Return to their Nest": One was born, 345678. There are many birds in the phoenix, pecking up thousands of stone valleys on earth.