Rekindle 2003

Chapter 19 The sky, clouds and shadows linger together?
Tang Qianying's words made some people who were not prepared to listen to her eyes widen.

What do you mean?
Even the last scumbag in the math class can use it, can't we?

Ha ha……

Kind of interesting.

The troublemakers turned their eyes to Qin Manman's face.

"Manman, you still haven't judged your man? It's a small matter." Zhou Li winked at her.

Before Qin Manman said anything, Tang Qianying blushed.

I was talking too fast for a while, as if I was on fire, and it also tricked Qin Manman.

It seems that no matter how Qin Manman answers this kind of question, people will be misunderstood.

Said to be interrogated, Qing Yun and himself couldn't get down.

Although she was very unhappy, the three labels of 'children', 'fierce', and 'little loli' made her receive no less attention than Qin Manman on campus.

No. [-] and No. [-] men on the school flower list?
This kind of thing is a hot topic everywhere.

Qin Manman said that he would not judge and believed him, which was equivalent to indirectly saying that he was not as good as Qin Manman.

This Zhou Li!

Return sisters!
plastic!
She tugged on Qin Manman's sleeve in a fawning manner, telling her to ignore Zhou Li.

Qin Manman patted her hand and smiled indifferently, "I believe him."

Tang Qianying's smile froze on the spot.

Well, she is indeed not as good as her.

Empress!
No shame!
When everyone was watching the show, Qin Manman said leisurely, "He doesn't have the courage."

There was a burst of laughter in the classroom.

Worthy of the empress.

Tang Qianying felt that her mood was like riding a roller coaster, being manipulated by Qin Manman.

The only one left by Fang was Qing Yun who looked embarrassed on the stage.

So disrespectful!

Seeing the constipated expression on Qingyun's face, the students became even happier.

Peng Changxu laughed loudly, "Ah, bronchitis! Bronchitis! Youngest, your illness progressed too quickly, it's only the second day!"

A few friends patted the table unscrupulously.

Mark was about to burst into tears, "Youngest, weren't you bragging about your family throne last night?"

The laughter in the classroom grew louder.

……

In the ordinary class, which was a corner away from the base class, the head teacher was twitching with veins on his neck.

So outrageous!
So outrageous!
Is there any reason!

Can you please be quiet!

He gritted his teeth, "That...'You are in a busy city, but you live in an empty valley', you have to learn to find peace in the middle of the noise.

Students, please bring your earplugs..."

……

An embarrassed Qing Yun stood on the podium, holding a chalk and wanting to throw it over to them.

Who the hell!
A group of dog sons!

Emmm...

It doesn't seem right, why did you scold yourself!
He picked off the sneakers on his feet, ready to speak directly.

At this time, Qin Manman got up and walked towards him.

She peeled off a piece of chocolate, stuffed it into his mouth with a smile, knelt down and patted the remaining footprints on his trouser legs, then got up and returned to the seat.

This series of actions didn't say anything, but it seemed to say something.

After a burst of booing in the classroom, it immediately fell silent.

special!
Squat service from campus goddess!
Big dog abuse scene!

Qing Yun stood on the podium and looked down at the boys below the stage, his face full of embarrassment.

Especially for those who have girlfriends, his eyes stopped for a while.

Everyone understood the look in his eyes.

did you see it?
Brother's throne!

Although everyone knew it well, it was Qin Manman who gave a sweet date with a stick.

but……

It looks really sour!

Girls, especially those who have boyfriends, can't wait to take out their notebooks and record them.

Learning is useless!
Learning is useless!
As expected of an empress!

This method of taming husbands is absolutely perfect!
Qing Yun was stunned for a moment, and then had fun with Qin Manman.

Qin Manman's eyes were full of smiles, but he crossed his chest with his hands, pointed at the window on one side with his delicate minibus, and hummed softly.

Qing Yun felt even happier.

The mother-in-law insisted on it.

Big lady!

Must be a big woman!

He turned his head and glared at Tang Qianying, the perpetrator, "Listen carefully, you will know after I finish."

Qing Yun's voice sounded slowly in the classroom, "Following what Lao Wu said just now, 'approaching' equals 'limit', which is true in high school.

For example, when we are seeking the derivative of 'f(x)=x', according to the definition of the derivative, let x→0, there are:

f’(x)=limx→0{【f(x+x)-f(x)】/x}=limx→0{[(x+x)＾2-x＾2]/x}=2x
In fact, the limit limx→0(x)=0 is used here, which is quite natural.

With the definition of limit, there is naturally infinity.

Consider f(x)=1/x, where x>0, when x→0, we know f(x)→positive infinity.

But what is infinity? "

The students in the classroom frowned, it really seemed that something was wrong.

Is infinity a number?
Contradictory.

Li Fangping at the back door of the classroom listened with a smile.

In fact, this child is quite suitable for teaching, and he should be a university professor in the future.

But he wants to walk with Qin Manman, this is a fool's dream.

Knowing the Qin family, he knew how Qing Yun would be trained by the Qin family.

It's a pity.

Qing Yun continued to deduce, "If infinity is a number, we do this: when x=0, record 1/x=∞.

According to the same process above, we know that when x→0, 2/x→∞, so 2/x=∞, thus ∞=2∞, according to the most basic arithmetic rules, we can solve ∞=0, You see, this is where things go wrong.

Therefore, 'approach' and 'limit' cannot be equated. "

After finishing speaking, he leaned his arms on the podium and pointed to the blackboard, "This is the real reason why points will be deducted for using advanced mathematics methods in the college entrance examination.

Because it is out of the definition of middle school mathematics.

For example, L'Hopital's rule uses the definition of differential limit in advanced mathematics, but in our textbooks, this part of knowledge is not available.

If you want to use it, you have to push L'Hopital's rule first, and to push L'Hopital's rule, you must use Cauchy's mean value theorem, and then go back and prove Lagrange's mean value theorem.

It’s not over here, there are Rolle’s median theorem and Fermat’s lemma on it, and in the end you will find that you are restoring the historical contributions of those great mathematicians, and the exam time is over before halfway through. "

After hearing this, everyone was dumbfounded.

They are all interested in L'Hopital's rule, because it is a tool that contestants often use to pretend to be aggressive.

In the last time of the college entrance examination, they also wanted to learn some legendary forbidden techniques.

After all, in the mouths of contestants, "everything is possible" is too tempting.

But I didn't expect that the college entrance examination could not be used.

This made this group of academic bullies very uncomfortable.

And the contestants seemed to have eaten flies.

Especially those few people who were determined to teach Qing Yun a lesson in the college entrance examination room, they felt bored at this moment.

Very meow!
If there is truth, it is not allowed to use it!
After often solving difficult problems with high numbers, they are also unfamiliar with conventional methods.

After all, point deduction is too disgusting.

Obviously has 150 strength, but only 130 after the test, this is too bullying.

"What Qing Yun said is right. I advise everyone to lay a solid foundation in middle school mathematics. I participated in the examination in the past two years. I don't know about other provinces. At least in Xishu, if you use Robida, at least half of the process points will be deducted. " Li Fangping said from the back door with his hands folded.

Tang Qianying was even more confused when she heard the words.

Looking at the questionnaire given to her by Qingyun in her hand, her mind was muddled.

Don't let me use it, what are you teaching me to do?
It is also written in such detail that each theorem has three sample questions and 10 practice questions.

Sister pit!

She bit her lip and looked at the figure on the podium with a complicated expression.

The corners of Qing Yun's mouth curled up, "Sister Ying, I really like your eyes, there is a unique beauty in them."

Everyone stayed.

what's the situation!
Openly molesting her best friend in front of her girlfriend?
Tang Qianying's face suddenly became hot like a fire.

How about his own beauty?
But... In his heart, what kind of beauty is he?
At this moment, Qin Manman had a smile on the corner of his mouth.

She knows him too well.

Whenever Qing Yun only raised one corner of his mouth, it meant that this stinking man was about to speak venomously.

As she expected, Qing Yun grinned again, "A kind of wild beauty that has not been infiltrated by civilization."

Everyone laughed wildly.

"Youngest, you are too poisonous! Hahahaha!"

"Sure enough, it's my CP. Qing Yun and Qin Manman are both very good at taking bamboo shoots!"

Even Li Fangping couldn't stop laughing, turned around and shrugged his shoulders.

this kid!
The mouth is poisonous!
"Little Yunzi! I will fight with you!!!"

Tang Qianying stood up angrily, pointed at the hateful stinky man on the stage with the steel ruler in her hand, and was about to rush over to confront each other.

Qin Manman hurriedly stopped her, and glared at Qing Yun angrily.

Qing Yun chuckled, "Calm down, listen to me, the forbidden technique of the college entrance examination like L'Hopital's rule is not used by others, but you can use it just fine."

Tang Qianying was stunned and stopped making trouble.

Why does she use it just right?
Li Fangping immediately understood, rubbing his chin and thinking about the possibility.

Qin Manman also understood, but felt a little uncomfortable.

Looking at the clarity in Tang Qianying's eyes, Qing Yun shrugged helplessly, "Others use it to deduct points, and you use it to gain points."

Tang Qianying seemed to understand something.

Qing Yun patted the chalk in the palm of his hand, and began to wash his hands on the faucet in the classroom.

Although Qin Manman's dust allergy has disappeared, he still pays attention to it.

In the eyes of caring people, this kind of action is carefulness. Qin Manman turned his head with a smile and explained to Tang Qianying,

"You think, your final question has always been zero. If you learn this and do it right, wouldn't it be an extra point?"

Tang Qianying understood completely.

These forbidden techniques are poison to others, but to her they are the best magic weapon to grab points.

Li Fangping came over and took the test sheet and looked it over carefully before returning it to her, "You study hard, Qing Yun wrote this set of things for you very carefully. I can't even sum it up, so don't let me down."

Li Fangping is not self-effacing, after all he is a high school math teacher, not a college math teacher.

He didn't forget the knowledge points of high mathematics, but he didn't use it much, and he couldn't use it. It's really not as good as Qing Yun's summary.

After finishing speaking, he paused, and said to Qing Yun who was about to return to his seat, "Tell the students about Cauchy's median value theorem, L'Hopital's law and Taylor's formula.

The big question cannot be used, but there is nothing wrong with using it on the fill-in-the-blank question. "

After that, he went to Tang Qianying to ask for the test sheet and took it to make a copy.

Tang Qianying's mind was in a mess.

He cares about me?

Why does he care about me?

The words of 'Uncle Li' completely disturbed her heart.

Qin Manman knocked on her table, "Listen carefully! Let's talk!"

Tang Qianying shook her head and retracted her thoughts, returned a smiling face and quickly looked at the blackboard seriously.

Qin Manman, who was looking at the blackboard, was not listening carefully, and at the moment her heart was also very confused.

The 'boyfriend' on the stage scolded Fang Qiu, a bit handsome.

She bit her lip.

Ok!

is very handsome!
But her 'real girlfriend' did not enjoy the exclusive customized counseling, but was enjoyed by her girlfriends.

Qin Manman touched the bow on his head.

It's not green either.

But how come there is a feeling of being green!

She really wants to find a place where no one is around, and have a good theory with her 'boyfriend'.

This kind of behavior is simply disobeying men's morals!
Ke thought about it, but sadly found that he had no position.

The two are now in the relationship between male and female friends.

In fact, they are just men and women in the ambiguous period.

Glancing at the best friend next to her, Tang Qianying's baby face was almost written with the word 'Sichun'.

How to do?
Qin Manman, who was upset, suddenly remembered something.

When she first entered the school, during the period when she and he were coldly dealing with the scandal, besides 'Yunman CP', there was also a voice of 'Yunying CP'.

It was only because Qingyun and Tang Qianying became like buddies, and they also recognized siblings, that they disappeared.

Qin Manman frowned.

She found that the two people who called each other "Little Yunzi" and "Little Shadow" probably meant that they were happy enemies.

And "the sky and clouds and shadows linger together" seems to be more natural than "the clouds are rotten and the clouds are rotten".

Qin Manman's breath became heavy.

A cold light flashed in her big almond eyes, and she took out a small transparent plastic bag from her schoolbag.

photo stickers.

At the beginning of the century, girls' favorite.

It is also a magic weapon for lovers to declare their sovereignty!

Qin Manman bit his lip and glared angrily at Qing Yun on the stage.

Originally, she intended to use it as a small reward.

do not care!
I can't take care of it anymore!

Qin Manman pulled out Qingyun's schoolbag from the drawer.

Pepsi school bag.

These are the bottle caps that Qingyun accumulated last year that everyone in the classroom didn't want, and they were exchanged according to the rules.

The corners of Qin Manman's mouth curled up.

In fact, he didn't know that most of his cover was contributed by her.

She doesn't drink cola, a carbonated drink that destroys her body.

As for why you still buy it if you don’t drink it?

Qin Manman said proudly that he has long been disgusted with his mended canvas bag!
Except for the plastic bestie beside him, it seems that many girls in the class have secretly mended his schoolbags!

One by one, all backstabs!
But they all clumsily sew that canvas bag like a beggar's bag!
Pia~!

Without any psychological burden, Qin Manman raised his hand and pasted his photo sticker on the most conspicuous position of his schoolbag, covering the Pepsi logo.

If you have the ability, come to Ben Gong to file a lawsuit!
Qin Manman took out his wallet from Qingyun's schoolbag.

It was also from Pepsi, and it was exchanged with the schoolbag at the time.

One on the outer skin and one on the inside, Qin Manman pasted it very carefully, making sure that everyone could see his smiling face as soon as he took out his wallet.

Qing Yun on the stage saw the corners of his eyes twitching.

What is this woman crazy about?

(End of this chapter)