20
He used to be a businessman, collecting all kinds of business.
Books on geodesy and writing,
Compile a ballad formula,
Turn boring math problems into beauty
Beautiful poetry,
It makes people catchy,
Enhanced the affinity of mathematics popularization.
There are two similar ones in Cheng Dawei.
Mathematical Poetry of Drinking Based on Linear Equations;
"
There are many customers in the restaurant, and the name of thin wine is thick and mellow. A bottle of good wine is finished.
Three guests, three bottles of thin wine and a drunk. * * * drank 19 times, and all 33 guests were drunk. Can a wise man learn?
What is the alcohol content?
"
The main idea of this poem is:
A bottle of good wine,
You can get drunk.
three
visitor
Three bottles of thin wine,
You can knock the guests out. if
33
A guest is drunk and they always drink it.
19
A bottle of wine. Question: it
How many bottles of good wine and thin wine are there?
There is a saying in the famous Art of War by Sun Tzu.
"
I don't know the number of things.
"
The original text of this calculation is:
"
Is there anything going on today?
Knowing its number,
Three three two,
Three fifths,
There are two left on number 77,
Ask geometry? Answer 23.
"
This problem spread to later generations, and many interesting names appeared, such as
"
Guigu garlic
"
、
"
Han Xin ordered the soldiers.
"
Wait a minute. Chengda
Wei wrote a mathematical solution in the form of a poem in Arithmetic Unity:
"
Three people are seventy times thinner and five trees are plum blossoms.
It takes twenty-one, and the reunion of the seven sons is exactly half a month. 105 will tell.
"
This poem contains the famous
"
Residual theorem
"
. That is to say, take
three
Multiplication by division of remainder
70
, plus
five
Multiplication by division of remainder
2 1
, plus
seven
Multiplication by division of remainder
15
Ratio and other results
105
A lot,
Then reduce
105
A multiple of.
As a result of the above problems:
(
2×
70
)
+
(
3×
2 1
)
+
(
2×
15
)-(
2×
105
)=
23
In the works of Indian scholar Bashgaro, there is also such a mathematical poem:
"
Jasminum giraldii's flowers are very fragrant,
Lure bees to collect honey.
Bustling, countless,
A flock flew into the flowers.
How many people are there in this group? Qieba strip
Analysis: half of all square roots, and the other two together; A few ninth of the total, wandering around outside.
Play.
"
If you list that operation of irrational number equation,
It can be concluded that these bees are
Seventy two
Only. There is also a song about lotus.
The mathematical poems of flowers:
"
Pingping Lake is crystal clear, and red-violet is born on a half-foot stone; Out of the mud but not stained, clean and graceful, suddenly blown away.
Into the clear water. The fisherman looked at it and hurried forward. The flowers were two feet away from their original position. Please solve this problem. How do you know the depth of the lake?
Shallow?
"
What a poetic algebra problem this is! Look, the red lotus growing in the lake is exposed.
The length of is half a foot,
Blown aside by the wind,
The distance between the flowers on the top of the red lotus and the original water surface is
2
Ruler,
Huwenhu
How deep is it? According to Pythagorean theorem, the depth of this lake is
3.75
Ruler.
Third, count into poetry:
The most common number for entering a poem is 1.
"
one
"
Although it is a digital concept, in fact, it is true.
"
one
"
use proper words
When applied to poetry, it will produce beautiful artistic effects.
For example, the Qing Dynasty poet Chen wrote a poem.
Qiu Jiang's solo fishing map
With the theme of ...
"
one
"
Poetry:
"
Yifan Yifan
A boat with a leaf, a fisherman, a hook, a bow and a smile, a bright moon and a river in autumn.
"
Southern Tang Dynasty in Five Dynasties
When Li Yu was in office, he wrote an inscription for court painter Wei Xian's "Fishing in the Spring River":
"
The waves are intentional.
Thousands of snow, peaches and plums are silent, a team of spring; A pot of wine, a club, how many people are there in the world?
""
The spring breeze leaves a leaf.
Boat, a nylon cocoon and a light hook; Flowers are full of Zhu, wine is full of Europe, and you are comfortable in the waves.
"
Put a free and easy fish
Weng's image is vividly portrayed.
Another example is a poem entitled "Wild Goose Winning Order" in Yuanqu:
"
One year old, one day, one day, one.
Autumn after autumn, one generation urges another, one gathers and one leaves, and one suffers and one grieves. Lying on the sofa, in my life's dream,
Find an acquaintance, he will know each other for a while, and we will usually know each other, play once and sing once.
"
In poetry
22
individual
"
one
"
The repetition of words reflects the illusory bitterness of life. His writing is strange, but he wins with slang.
Some poems will embed one to ten numbers in the poem. Song Dynasty Neo-Confucianism "Shao Kang" cloud:
"
Let's go
Two or three miles, four or five smoke villages, six or seven pavilions, eighty or ninety flowers.
"
The beauty of this poem is that it is embedded in ten cardinal numbers in turn.
A few words,
Depicted a quiet and elegant pastoral scenery,
Arouse people's endless feelings and longings.
the Ming Dynasty
Writer Wu Cheng'en has a poem about the night scene, which has a wide artistic conception:
"
There are no visitors in Shili Pavilion, and the sky is clear.
Stars. Eight rivers seal ships and seven thousand counties seal them. Six palaces and five houses belong to the official residence, and the four seas and three rivers go fishing.
Two rotten tower bells are ringing and a bright moon is full of Kun.
"
The beauty of this poem is that the numbers in the poem are from big to small, and it is well written at night.
Quiet and beautiful. Reading two poems in contrast is wonderful.
There are many sad stories about numbers entering poetry.
It is said that,
Shortly after Zhuo Wenjun and Sima Xiangru got married,
department
Ma Xiangru went to Chang 'an to be an official and never returned for five years. Wen Jun misses it very much. One day, she suddenly received a letter from her husband.
When a letter came, I couldn't help laughing. Unexpectedly, when I opened it, it only said
"
12345677890
one hundred million
"
Fourteen numbers.
Clever Zhuo Wenjun immediately understood her husband's meaning:
figure
"
seven
"
appear
Twice, because
"
seven
"
and
"
Madame
"
Homophonic, obviously Sima Xiangru has the meaning of preventing his wife from marrying someone else. So, she is full of sadness.
Angry, wrote a digital poetry:
"
After a farewell, the two places hung up, saying March and April, who knows five or six years!
The lyre has no intention to play, the eight lines have no transmission, the nine-line chain has never been broken, and the Shili Pavilion wants to wear it. think over and over again
I miss it, but I can't help it. I can only blame Lang. I have a thousand words to say, I am tired and tired, and I am going to climb the mountain to see the lonely goose.
The Mid-Autumn Festival in August is full and people are not round. In July and a half, burning incense and holding candles ask heaven, and everyone shakes their hearts in the dog days of June, five
April loquat is not yellow, and I want to be confused with the mirror. Peach blossoms bloom with water in March.
The kite string was broken in February. Hey! Lang Lang, I really hope that you are a woman and I am a man in the next life.
"
Look, this number.
How well these poems are written,
Numbers range from 1 to 1 ten thousand, and then from 1 ten thousand to 1,
It can be described as mixed feelings.
No wonder Sima Xiangru can read it.
The more I think about it, the more ashamed I feel. Finally, I got Zhuo Wenjun to Chang 'an by high-speed bus.
Fourth, digital couplets:
According to legend,
When Zheng Banqiao was the Shandong magistrate,
I saw a Spring Festival couplets posted on the old door.
Shanglian:
Two three four five. Downline: six seven eight nine. Zheng Banqiao immediately sent someone to deliver clothes and food. The officials were surprised and asked why,
Analysis of "Bridge and Laughter": The first couplet lacks one garment, and the second couplet lacks ten grains.
It is rare to see couplets written entirely in numbers like the above.
There are many couplets with numbers embedded in them.
But embedded
There are few couplets with ten cardinal numbers. There are two harmonic connections:
The boy looked at the rafters, one two three four five six seven eight nine X;
Sir, life, a, b, c, d, e, g, n, n.
It makes people laugh after reading it. It turns out that Mr. Wang's life is like a child's words, and it is not worth taking seriously. Say it again,
The following couplets, the above couplets and the following couplets all contain ten cardinal numbers, which are very rare and worth appreciating carefully.
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.
The exam will be late, Xueyou sighed:
"
Only one leaf, sitting on two or three poets, with four paddles and five sails, over six
Seven bays on the beach, experienced eight bumps and nine bumps, alas, ten minutes late.
"
Su Dongpo also used digital alliance to encourage:
"
Decadal cold current
Window, into the 98 academy, but secular desire, hard to read the five classics and four books, get three transgressions twice. I must do it today.
Yes!
"
The first part counts from one to ten, and the second part counts backwards from ten to one, which is not only clever and appropriate in the use of numbers, but also
The difficulty of studying hard in the cold window and going to Beijing to catch the exam is vividly demonstrated.
Verb (abbreviation of verb) stresses poetry with mathematical knowledge.
There are many poems,
Literally, we can't see its connection with mathematics.
But on second thought,
Use mathematics
Knowledge re-examines the content of poetry and will have a new understanding.
For example, in the opera Sister Liu, Sister Liu and three scholars.
(
pottery
,
plum
,
collect
)
Duet, Luo Xiucai
:"
The war-horses whinny
Birds don't try to be brave, 300 dogs score. One less and three more are singular, depending on how you distinguish them.
"
Liu Sanjie
:"
ninety
Jiutiao went hunting.
,
Ninety-nine sheep. Ninety-nine janitors, leaving three strange minions.
"
Do the math.
You can find
300 = 99 + 99 + 99 + 3
. This is exactly the problem of integer division in mathematics. If it doesn't count.
There are four ways to split a sequence:
300 = 99 + 99 + 99 + 3 = 99 + 99 + 3 + 99 = 99
+ 3 + 99 + 99 = 3 + 99 + 99 + 99
. Obviously, if the order of division is considered, the above division number is convenient.
be
four
Species; If you don't consider the order of splitting, it is
1
Kindness You can have a more general question at this time.
: "
will
300
Divide into order
four
Sum of odd numbers
,
How many different ways are there?
"
It's not hard to imagine that if that year
Luo Xiucai who sang with Liu Sanjie.
,
Change the last sentence of the lyrics to read
: "
Please tell me how many points I got.
"
, then even if Liu
Third sister is very clever.
,
soon
,
I'm afraid it's difficult to deal with.
Six, digital riddle
-
A digital poetry without numbers.
Zhu, a poetess in Song Dynasty, wrote a poem "The Mystery of heartbroken":
"
Come downstairs, the money will fall; Ask heaven, people are here.
Where; Hate the prince, have been there; It is difficult to be with friends; Regret that I missed my mouth; It has been handed in, but not yet.
Insufficient hybridization; Why ask in vain; Separate without a knife; From now on, never rely on your enemy; A thousand miles of lovesickness disappears.
"
In fact,
Every sentence in this poem is a puzzle, which adds up to one, two, three, four, five, six, seven, eight,
Nine, ten.
Seven, digital irony
Enter poetry with numbers,
You can write many satirical poems.
For example, a poet in the Qing Dynasty wrote
There is a doggerel of Ode to Sparrows:
"
One, two, three, four, five, six, seven, eight, ninety, and all the royal thousand.
How much is the Phoenix for planting millet?
"
During the Daoguang period of the Qing Dynasty, officials were corrupt and addicted to opium, and a yamen was set up.
In the smoky house, it was so smoky that someone wrote a poem to mock it:
"
One into two or three halls, four or five beds; Six or seven smoke lamps,
Eighty or ninety guns.
"
Ironically, those corrupt officials who are incompetent in the imperial court are extremely penetrating. Somewhere a few years ago.
See a digital poetry in the magazine, satirizing some officials today:
"
Don't get drunk after a drink or two and dance three times.
Four laps is not tiring, rubbing hemp is not sleepy. At 5: 06, there are not many Miss Seven Eight, and the bribe is 900,000.
"
. hear nothing of
What will these officials think when they see it?
There is an ancient folk poem about clay sculpture:
"
Silence, blindness; No food for three meals,
Four bodies are not diligent; Regardless of the grain, the six gods have no owner; I know nothing about this, I am awesome; Nine people can't sit still and are completely incompetent.
"
Here are the top ten clay sculptures.
"
The facts about the crime
"
It can be seen as a battle.
It is said that:
At that time, the propaganda seal was overturned.
I read this poem and read it again when I was building a superstitious idol.
"
Ten facts are useless.
"
A word was followed by an angry chorus.
Roar:
"
Push down!
"
We worked together to defeat the idol.
On the contrary, the Qing Dynasty was called by Emperor Kangxi.
"
Ethics is the best in the world.
"
Zhang Boxing, an upright official, wrote an article.
"No feeding", Wen Yue:
"
One, my honor; A penny is the essence of the people. Kuanchi
Points, people give more than one point; Take a penny, I'm worthless.
"
a succession of
eight
individual
"
one
"
Words, clarification
His ideas of honesty and self-discipline.
These digital poetry languages are beautiful, novel in form, interesting and beautiful. read
Read these math poems,
It can not only open people's thinking world,
You can enjoy the beautiful scenery and learn something.
Some math knowledge,
Stimulate students' interest in learning mathematics.
I tried consciously for a long time in teaching.
affect
The fruit is good,
Some students are inspired by mathematical poetry.
Also began to try to put some conclusions and methods into mathematics.
Law is expressed in the form of poetry.
Eight, mathematical philosophy poems
"There are two things,
The more often and permanently you think about them,
For them, they are new and growing.
Charm and reverence enrich the soul more and more,
They are:
The starry sky above me,
And the Tao in my heart
German law.
"Modern mathematics originated in the West and came from the rational speculation of western sages. Developed mathematics
And constantly participate in human social activities,
Develop together with mankind.
Mathematics is like a big tree:
Her branches
The leaves spread upward,
Constantly explore the depth of the universe;
Her roots extend downward,
Constantly explore human logic.
Depth of the series.
The first sentence is the greatest philosopher in the west.
(None)
-Kant's epitaph,
Let's keep forging ahead under the illumination of the brightest stars in human history!