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Mathematical dual sequence
Title: Mathematics Shines on Liberal Arts Class

Author: idle sunny

Math or something is unnecessary.

It is said that the math teacher before the key class of liberal arts once paid 100 yuan to make students think about "the use of mathematics"

, but

In the end, the whole classroom was full of horses.

Can I use the function to buy food? The broadcast gymnastics set is half of the math set.

Does it matter? Are you going to be a fortune teller after learning probability theory?

Mathematics in key classes of liberal arts has no status.

So,

The careful math teacher and head teacher staggered slowly into the classroom.

In the classroom, when the students shout "class" lazily, the students all stand still.

"This class has been transferred to the self-study class.

"Monitor Luo Ling gave the teacher in charge a duel.

The teacher put his arm on the platform,

Asked, her chin cupped in:

"Set the class number to

X

while

X= 1

The schedule says math class,

Are they going to have math class? It is now known that when

X=N

When,

All the students in the class will abide by the timetable.

Prove when

X=N+ 1

When,

study

Students will still come according to the schedule, right? "

Luo Ling cocked his head and pulled his fingers to think one by one.

1

The classroom is a science class,

Must be in math class,

while

N= 1

This is a science class,

N+ 1=2

Or science class, nature is no exception, when

N=2

It always seems true to push it down in time.

Luo Ling can't refute the teacher's sophistry.

"Please turn to the students.

54

Page.

"

But students are unmoved, and few people bring math textbooks.

The teacher frowned slightly, but after a few seconds, he said enthusiastically:

"Starting today, I Han Shu let everyone's math scores for reference.

Digital functions are also soaring.

"

Teacher Han is wearing a loose casual shirt.

A pair of glasses slipped off the bridge of the nose and didn't bother to help.

Ten minutes later.

He didn't leave the bench for nine minutes, and he was simply "too lazy to die"

Then, Korean teacher asked with interest:

"Why don't you want to study math?"

Luo Ling did her part:

"We liberal arts students don't need to learn too deeply, and mathematics is useless.

"

Korean teacher smiles to say:

"Mathematics is a ubiquitous subject, how can it be useless?

"

Luo Ling continues to tell:

"Even if mathematics is very useful, the time to solve a problem is enough for us to recite several words.

"

"On the contrary,

Mathematics has been reducing the workload of the human brain.

Before Gauss used arithmetic series,

ordinary

Terms and formulas,

10 1

×

50

Get it done in an instant

1

increase

100

"

No ling sly smile:

"Since the teacher said that mathematics is useful, please use mathematics to make everyone dizzy.

Let's cool off in hot weather. A well-developed brain cannot make detailed calculations, and it is difficult to do poorly in math exams.

Free of charge.

"

Teacher Han has a plan in his heart:

"No problem.

"

A functional excuse for not believing.

When Mr. Han proposed to install air conditioning, the headmaster flatly refused:

"Failing the exam, the high temperature is just an excuse. I think the original

Because the self-study time is shortened, extra-curricular books take up a lot of time.

"

Therefore, Mr. Han launched a questionnaire survey on the length of self-study in the third night of senior high school, the reading volume of extracurricular books and the scores of various subjects.

A few days later, Mr. Han realized the truth of the universe and strode into the principal's office.

Teacher Han ruled out three icons and explained:

"These three pictures are temperature, self-study time and extracurricular reading.

Correspondence between parameters and weekly test scores. The results of the first half of the school year showed an upward trend, but there were great fluctuations in the second half of the school year.

"

"First look at the relationship between the length of self-study and academic performance.

"

Teacher Han's fingers wandered on the paper.

"Everyone goes back in the winter night.

The dormitory is early,

However, the results show an upward trend.

In summer,

There is no correlation between the grade curve and the self-study time curve.

Extracurricular books are not.

There is seasonality, but I have read more and my grades have improved a little.

"

The headmaster asked:

"What are the reasons for the ups and downs?"

Teacher Han unfolds the third picture:

"This photo illustrates the facts.

The temperature is below

22

At℃,

It has little to do with grades.

Once above this value, there is a negative correlation between them.

"Korea's teacher continued to explain:

"Look at this.

X

Temperature axis,

Y

The axis is a graph of academic performance. while

X

Bigger than ...

22

When,

Y

Almost plummeted. It can be seen that heatstroke prevention and cooling is imperative.

"

The headmaster thoughtfully for a long time:

"Han provided, you persuaded me. But the school can't afford the budget of hundreds of air conditioners. But, everybody.

You can find your own way to buy air conditioners.

"

"It's just that this is enough.

"Korea's teacher is full of gratitude.

When Teacher Han announced the news to the class, the class burst into cheers.

Teacher Han said:

"Functionalism only believes in truth and does not believe in excuses. That's how I persuaded the headmaster. It's just that the school didn't dial

Money, it doesn't matter, math is ok.

"

99% wins roulette.

Anniversary celebration,

Teacher Han made a big turntable and stood in the square.

There are squares of different sizes written on the turntable.

Goods, only a small crack without prizes, others can take things away no matter where they shake them.

1

Yuan dynasty (1206- 1368)

1

Time is not very high.

Expensive.

Seeing that almost every student has won the prize,

The defense line in Luo Ling's heart collapsed.

She glared at her desk.

Teacher Han, who is dozing off, this is simply sending money.

Until the anniversary draws to a close,

Teacher Han greeted everyone bleakly to close the stall.

When I got to the classroom,

Everyone is so obsessed with money.

Start counting money. Korea's teacher beat said:

"yes.

4200

Right or left? "

"To be exact.

4289

Yuan.

"

"We will buy air conditioners tomorrow.

"

When the students blew the first cool breeze,

Cheers thundered.

Teachers and students from another key liberal arts class next door came out to protest.

nickname

"extinct teacher"

The teacher's tone is elusive:

"hey,

Teacher Han really loves her students.

I actually paid for the installation of the air conditioner myself.

"

Korean teacher scratched his head:

"The anniversary was won in one day.

"

"Impossible, didn't you lose the lottery?"

"This is about to talk about probability. I want to talk about how to do it with mathematics.

"

Teacher Han stepped onto the platform,

Happy to say:

"

Scrape off the principal

2600

Yuan,

Why do you make money by distributing things?

1600

Pluralistic? "

He pointed to each square on the turntable and said:

"This is a uniform board, plus a quarter of the area, aim the pointer at it.

The probability of an area is

25%

Precious prizes are small in area,

Cheap prizes have a large area.

Besides,

According to the turntable I designed,

along with

100

Take the second lottery as an example.

What kind of prizes are awarded,

How much did it cost,

Can also be calculated.

"

Teacher Han wrote down a row of formulas:

Operating area

Thirty percent

, lottery probability

Thirty percent

, instrument

30

Second, value.

0.2

Yuan dynasty (1206- 1368)

/

This, * * * expenditure

six

Yuan.

eraser

Thirty percent

, instrument

30

Second, value.

0.2

Yuan dynasty (1206- 1368)

/

Lump sum, * * * expenditure

six

Yuan.

2B

pencil

20%

, instrument

20

Second,

0.4

Yuan dynasty (1206- 1368)

/

* * * Expenditure

eight

Yuan.

A key ring/chain

10%

, instrument

10

Second,

0.5

Yuan dynasty (1206- 1368)

/

* * * Expenditure

five

Yuan.

Iced Black Tea

5.5%

, instrument

5.5

Second,

2

Yuan dynasty (1206- 1368)

/

Bottle, * * * expenditure

7.5

Yuan.

calculator

0.5%

0.5

Second, the price of friends.

40

Yuan dynasty (1206- 1368)

/

Taiwan Province, expenditure

20

Yuan.

"expenditure

63.5

Yuan, surplus

36.5

Yuan, that is, every turn

100

You can earn it next time.

"

Obviously, you can make a lot of money by giving away things. Luo Ling and her classmates saw the magic of mathematics for the first time.

Mathematical reform

"The last weekly exam,

Although the average score is good,

But that overall standard deviation of the score is too large,

I will make three policies for you.

Policy.

"

The whole class shook their heads:

"Teacher Han, how do you arrange the teaching of liberal arts?"

"Little Li Qingzhao" leisurely stood up:

"Teacher, literature can't be analyzed by mathematics. For example, Song Ci, practicing calligraphy and answering.

Very particular. Otherwise, how to write Song Ci: If this set can't be eliminated, it will only be a force if it is signed. "

Korea's teacher, her chin cupped in:

"Write Song Ci with mathematics,

The principle is simple,

It just takes some effort.

Give me three days.

"

Three days. If the poet can hear this sentence, he should be angry and will come back to life.

Three days later, Teacher Han opened the projection and said:

"I decoded Song Ci with statistical data.

"Korea's teacher will bar projection.

On the big screen,

"Dongfeng is often used to write Song Ci.

"human"

Literary words such as "parting". This will ensure that

When we wrote it, it was decent.

"

"I only know high-frequency words, but they are not complete words.

"

"Little Li Qingzhao" retorted.

"So also want to consider the grammar.

Song Ci is different from the common sense that oranges are both subjects and predicates.

A four-word short sentence can have two names.

Words, such as "Jin Ge Ma Tie"

. I sorted these words and combined them into specious sentences according to grammatical rules.

Son.

"

"Random grouping doesn't necessarily rhyme.

"

"Named after the epitaph.

When you know the first sentence,

The number of words in the second sentence is fixed

Optimizing rhyme ending sentences by optimization method

As the second sentence, it will achieve the effect of rhyme.

"

Teacher Han presses the enter key,

Randomly generate two Song Ci,

"misty rain remains,

Why complain all your life?

It has been many years since the flowers fell and the geese returned.

Dreams are sad and difficult to continue.

"

As the last dignity of liberal arts students, it was completely defeated by the analytical ability of rationalists.

Teacher Han took this opportunity to introduce three reform measures:

"Establish a statistical database of wrong questions; Divide the class into subjects and study water.

Average grouping;

Establish a vector knowledge coordinate system,

Classify knowledge according to chapters,

Easy to remember and retrieve,

For example,

six

Zhangdi

1

Part of the content can be recorded as (

6, 1

)

"

The major changes in the implementation of the reform are something that everyone can experience personally.

Every night 10: 30, everyone enters the wrong question in the school computer room.

After that, Mr. Han sent him back to the dormitory to sleep.

Luo Ling has been uneasy. In history, Wang Anshi's intention to promote the new law was good, but in the end it made a mess of the country.

"confrontation between arts and sciences"

In the eyes of the students in the next class,

The job of liberal arts students is to recite by window.

In order to supplement vitamins,

The teacher suggested that they take medicine instead.

For food,

Hence the name

"drugs"

The teacher said privately:

"Liberal arts can take shortcuts? You can learn Wu Mi with a small computer program.

Cars? What is air conditioning? Can the flowers in the air-conditioned room bloom well? I'm going to the next class, so I won't stop it.

"

So,

There are two students in the "drug class", so I really went to catch up with the progress of Teacher Han's class.

Soon,

"drugs"

The female monitor of the class will come to see you every month.

She pointed to He Wen Luo Ling's nose:

"Why did you let me take your class?

Our classmates go to class!

"

Luo Ling eyebrows a young:

"Good birds choose wood and live, and we are also willing to spit and feed the duke of Zhou.

"

Month but bulging stamp:

"Your class has gone from bad to worse, and the history of rival with us has also become a thing of the past. I'm worried.

Classmate. The monitor is in charge of all the people in the class who can't control themselves, and I only care about these people.

"

No ling laughter smile to ask the moon:

"According to your words, who should be in charge of your class?"

Month but inexplicably replied:

"I am so good, of course, I can manage myself.

"

"But you can't manage your own people in your class.

"

Month was taken aback:

"Then I can't control myself. I listen to the teacher in charge.

"

"That since you didn't manage well, should belong to your class monitor management.

"

"But the monitor is me. I can't control myself anyway. "

Yue ran in by herself.

"You can neither be in charge of yourself nor be in charge of yourself."

In a dilemma,

Red face

Ran away.

Teacher Han is happy that Luo Ling only drank Cao Bing by virtue of the paradox in mathematics.

The extinct teacher came quietly.

"Han provided,

I need to talk to you.

Liberal arts cannot be opportunistic.

Work hard, work hard,

It is the only way for liberal arts.

"

Korea's teacher respectfully replied:

"Hard work is important, but lovely energy is limited. With advanced learning methods, the ink is not dry.

Stick to the rules. "

The teacher would face:

"You said I was in a rut, I think you are a lazy man!

"

"The meaning of knowledge is to make people lazy!

"

Teacher Han has a firm attitude.

"Knowledge can save people time to do more things,

why

Is it hopeless? "

"With good methods and hard work, your class will be able to dump our class for two blocks!

"The teacher sneered.

Korea's teacher sighed:

"They are students, but their lives should not be just textbooks and exercises. I don't want them back.

I only have painful memories of taking medicine in high school.

"

"That's good, we'll see.

"

Open plug-in event

The week exam came in an instant.

The "drug class" shouted "Our class will win". Teacher Han's students are worried about their grades.

Never before.

On the eve of the exam, Mr. Han came into the classroom with a stack of test papers.

"Ha ha, this is the result of statistical errors in the database. According to the' highest frequency wrong question'

I'll give you another comprehensive set.

Examination paper. Do this set of questions tonight, think more about the coordinate map of knowledge structure, and then go back to the dormitory to sleep at ten o'clock.

"

As the teacher said, the "drug class" was really thrown out of two blocks.

The students in the "drug class" think that the other party must be

Open the plug-in.

They are watching two students listening.

I found some problems and exams in Mr. Han's comprehensive test paper.

The problem is very close.

So the school launched an investigation into "Han Shu organized students to cheat".

"Han provided, how did you get this paper?"

"Every day, students will input the wrong questions into the computer. I wrote my thesis according to the highest frequency.

"

The headmaster mused, and the teacher said:

"Is there any evidence?"

"The wrong question bank is still in my computer.

"

"That can be forged.

"Sherlock Holmes teacher penetrative.

"Many students in your class are in the question-and-answer area, and write down in pencil (

5,3

), leaving traces of being erased. this is

Not a cheat code? "

"This is just the vector coordinate value of the knowledge system table. Each student has his own system coordinate system.

"

"Whatever you say.

"

Korean teacher can't help but rise:

"You have published many literary works. I want to say that you are looking for someone to write a ghost. How do you prove it? "

The headmaster showed Mr. Han a showdown:

"Han provided, it is not difficult to clarify this matter, let the students in your class take the exam again.

"

"I don't have the heart to let students increase the burden.

"

The headmaster is convinced that Han Shu is really a ghost.

One day, when Luo Ling handed in her homework to Teacher Han's office,

He slept soundly,

Handsome face is thin and distressing.

Luo Ling accidentally found two stacks of data on the table-

Temperature,

The boundary between the length of self-study and extracurricular books and the fluctuation of students' grades

Sex correlation analysis "and" programming algorithm for self-identification and statistical analysis of error question bank "

Each book has more than 200 pages.

No one can imagine how hard he worked.

Maybe she's like this all the time.

Because of his nap and laziness, perhaps for the sake of students' short rest, he worked tirelessly to program and calculate all night.

"Korean teacher didn't reveal the test questions, so thick two materials can't be fabricated casually.

"Luo Ling found the headmaster.

Say firmly:

"Principal, if you doubt Mr. Han, give us another test.

"

The headmaster will look through the materials in question, but he is willing to give Luo Ling a test.

"So,

Guess whether I agree to let you take the exam.

If you guess wrong, I won't agree to your request.

on the contrary

Of course.

"

Rowling thought for a few seconds, have answers:

"The headmaster won't agree to let us take the exam again.

"

The headmaster smiled,

He knew that if he really wasn't allowed to take the exam,

Then there is no doubt that Luo Ling is right.

She should have a checkup.

exactly

Once the exam is arranged,

The result of Luo Ling's conjecture is wrong.

So it is impossible to arrange an exam.

This is also a number.

Learning paradox, and Luo Ling passed the principal's exam.

The college entrance examination came quietly. Teacher Han is sleeping at home, and when she answers the phone, she looks impatient:

"You are very severe, I.

After calculation,

The conclusion is that whether I look at you or not can completely ignore the impact on the score.

Estimate the average score of everyone this time.

Will be in

630

Left and right, low

1

I invite you to dinner. Sit for two and a half hours, although it may not be useful.

"

Later, Mr. Han sat comfortably at the thank-you banquet.

Accurate calculation,

If every parent drinks a glass of wine for himself,

Each cup can't exceed how many milliliters, and you can walk home alive.

When the students were about to embark on their journey, Teacher Han received a unique gift-

Fifty two

The whole class used it.

Calculator,

And a poem given to him by a student,

He only read the first sentence,

Then he said, "I don't belong to this thing."

For the reason of "combination", jump directly to the last sentence: mathematics is not heartless, and it is more secure to become an air conditioner.

Mathematics is the most reasonable subject, but perhaps mathematics is actually the most human subject.