Chapter 19: Skylight, clouds and shadows linger together?

Author: Changqing returns to Chengdu

Chapter 19: Skylight, clouds and shadows linger together?

Tang Qianying's words made some people who were originally prepared not to listen suddenly widen their eyes.

What's the meaning?

The worst student in the math class can use it, but we can’t?

hehe……

That's a bit interesting.

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

"Manman, you still haven't interrogated the men in your family? This is just starting to get under way." Zhou Li winked at her.

Before Qin Manman said anything, Tang Qianying blushed.

He seemed to be irritated by his quick words, and also made Qin Manman a fool.

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

He said he wanted to be tried, but Qing Yun and himself couldn't get off the stage.

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

The No. 2 and No. 1 school beauties are competing for men?

This kind of thing is a hot topic everywhere.

Qin Manman said 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!

Still sisters!

Plastic!

She tugged on Qin Manman's sleeve in a flattering 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!

Just when everyone was watching the show, Qin Manman said again leisurely, "He doesn't have the guts."

The classroom suddenly burst into laughter.

Worthy of the empress.

Tang Qianying felt like she was on a roller coaster, being manipulated by Qin Manman.

Now the only one left on the stage was Qing Yun, who looked embarrassed.

It’s so disrespectful!

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

Peng Changxu laughed loudly, "Tracheitis! Tracheitis! My youngest, your disease has progressed too quickly. It's only the second day!"

Several friends even slapped the table unscrupulously.

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

The laughter in the classroom became even louder.

…

In the regular class across the corner from the base class, the veins on the head teacher's neck were twitching.

How outrageous!

How outrageous!

Is there any justice?

Can you please be quiet?

He gritted his teeth and said, "Well...'You are in a busy city, but you live in an empty valley.' You must learn to find tranquility amidst the chaos."

Students, please bring earplugs..."

…

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

Who the hell are you!

A bunch of dogs!

Emmm…

It doesn’t seem right, why did you include yourself in it?

He picked at the sneakers on his feet and prepared to start speaking directly.

At this time, Qin Manman stood 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 stood up and returned to her seat.

This series of actions said nothing, but they seemed to say something.

After a burst of commotion in the classroom, there was an immediate silence.

What the hell!

Squatting service from the campus goddess!

Large dog abuse scene!

Qing Yun stood on the podium and looked down at the boys in the audience, her face filled with embarrassment.

Especially those who had girlfriends, his eyes lingered on each of them for a while.

Everyone understood the look in his eyes.

Did you see it?

Brother's throne!

Although everyone knew in their hearts, this was Qin Manman giving him a sweet date with a stick.

but……

It looks so sour!

Girls, especially those with boyfriends, are eager to take out their notebooks and record them.

Lost your studies!

Lost your studies!

She is indeed an empress!

This method of taming a husband is absolutely amazing!

Qing Yun hesitated for a moment, then smiled at 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 snorted softly.

Qing Yun felt even happier.

This woman insisted on it.

Madam!

Must be a doctor!

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

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

For example, when we find the derivative of ‘f(x)=x’, according to the definition of the derivative, let x→0, we have:

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 more natural.

With the definition of limit, it is natural to have infinity.

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

But what is infinity?"

The students in the classroom frowned, something seemed wrong indeed.

Is infinity a number?

Contradictory.

Li Fangping, who was at the back door of the classroom, smiled and listened.

In fact, this kid is quite suitable for teaching and should become a university professor in the future.

But for him to be with Qin Manman is a fool's dream.

He knew the Qin family well and 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=∞, from which we get ∞=2∞. According to the most basic arithmetic rules, we can solve ∞=0,

You see, there is a problem here.

Therefore, ‘approach’ and ‘limit’ cannot be equated.”

After that, he put his arms on the podium and pointed at 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, Lópida's law uses the definition of differential limits in advanced mathematics, but this part of the knowledge is not available in our textbooks.

If you want to use it, you have to first deduce L'Hôpital's rule, and to deduce L'Hôpital's rule, you must use Cauchy's mean theorem, and then retroactively, you need to prove Lagrange's mean theorem.

It’s not over yet. There are also Rolle’s Mean Value Theorem and Fermat’s Lemma. In the end, you will find that you are restoring the historical contributions of those great mathematicians. Before you get to the halfway point, the exam time is over.”

After everyone heard this, they were all stunned.

They are all interested in Lópida's Law because it is a tool that contestants often use to show off.

During the final time of the college entrance examination, they also wanted to learn some legendary forbidden arts.

After all, in the words of competitive students, "Everything is possible" is too tempting.

But I didn’t expect that it couldn’t be used for the college entrance examination.

This is very uncomfortable for these top students.

And the contestants seemed to have eaten flies.

Especially those people who were cruel enough to teach Qing Yun a lesson in the college entrance examination hall, they felt disgusted at this moment.

Very meow!

No truth bombs are allowed to be used!

After often using advanced mathematics to solve difficult problems, they became unfamiliar with conventional methods.

After all, deducting points is so disgusting.

He obviously has a strength of 150, but only got a score of 130 or so after passing the exam. This is too bullying.

"What Qing Yun said is right. I advise everyone to lay a solid foundation for middle school mathematics. I participated in the grading in the past two years, and I don't know about other provinces. At least in Xishu, if you use Lupida, your process points will be deducted by at least half.

Li Fangping said at the back door with his hands folded.

Tang Qianying was even more confused after hearing this.

Looking at the list of questions Qingyun gave her in her hand, her mind was in a blur.

If you don’t let me use it, why are you teaching me what to do?

It is also written in such detail, with three examples for each theorem and 10 exercises.

Trick my sister!

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

The corners of Qing Yun's lips turned up, "Sister Ying, I like your eyes so much. There is a unique beauty in them."

Everyone was stunned.

What's going on!

In front of his girlfriend, openly flirting with her bestie?

Tang Qianying's face suddenly became as hot as fire.

Do you need him to talk about your own beauty?

But...in his heart, what kind of beauty is he?

Qin Manman had a smile on his lips at this time.

She knows him too well.

Whenever Qing Yun only raised one corner of his mouth, it meant that this stinky man was going to have a venomous tongue.

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

Everyone laughed wildly.

"Youngest, you are too poisonous! Hahahaha!"

"As expected, I was the one who took CP. Qing Yun and Qin Manman are both very good at catching bamboo shoots!"

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

This kid!

The mouth is poisonous!

"Xiao Yunzi! I will fight with you!!!"

Tang Qianying stood up angrily, pointed the steel ruler in her hand at the hateful smelly man on the stage, and was about to rush over to the incompatible man.

Qin Manman quickly stopped and glared at Qing Yun angrily.

Qing Yun chuckled and said, "Calm down and listen to me. Forbidden techniques for college entrance examinations such as Lópida's Law cannot be used by others. You can use them just right."

Tang Qianying was stunned and stopped making trouble.

Why did she use it just right?

Li Fangping understood immediately, stroking his chin and thinking about the possibilities.

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, but you use it to add points."

Tang Qianying seemed to understand something.

Qing Yun patted the chalk in his palms and washed his hands on the faucet in the classroom.

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

Such actions are seen as carefulness in the eyes of a caring person. Qin Manman smiled and turned his head to explain to Tang Qianying,

"You think, you always get zero points for the final questions. If you learn these and get them right, wouldn't that be extra points?"

Tang Qianying completely understood.

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

Li Fangping came over and took the question sheet, looked at it carefully and gave it back to her, "Study carefully. Qing Yun wrote this set of things for you very carefully. I can't even sum it up, so don't let it down."

Li Fangping is not being self-effacing. After all, he is a high school mathematics teacher, not a college mathematics teacher.

He hasn't forgotten the knowledge points of advanced mathematics, but he doesn't use them much or can't use them. It's really not as good as Qing Yun's summary.

After saying that, he paused and said to Qing Yun, who was about to return to his seat, "Tell the students about Cauchy's mean value theorem, L'Hôpital's law and Taylor's formula.

It cannot be used for big questions, but there is nothing wrong with using it for multiple-choice fill-in-the-blank questions.”

After that, he asked Tang Qianying for the questionnaire and took it to be copied.

Tang Qianying's mind was in a mess.

He is very attentive to me?

Why does he care about me?

'Uncle Li''s words completely disturbed her heart.

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

Tang Qianying shook her little head to regain her concentration, smiled and looked at the blackboard seriously.

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

The 'boyfriend' on the stage looked a bit handsome when he scolded Fang Qiu.

She bit her lip.

All right!

He is very handsome!

But the exclusive customized tutoring that even her 'real girlfriend' did not enjoy was enjoyed by her best friend.

Qin Manman touched the bow on his head.

This isn't green either.

But why do I feel like I’ve been greened!

She really wanted to find a place where no one was around and have a good argument with her 'boyfriend'.

This kind of behavior is simply unethical!

But after thinking about it, I sadly found that I had no position.

The two of them are openly boyfriend and girlfriend at the moment.

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

Glancing at her best friend next to her, Tang Qianying's baby-loli face just barely had the word "Shun Chun" written on it.

what to do?

Qin Manman, who was confused, suddenly remembered something.

When she first entered the school, when she and he were dealing with the scandal coldly, in addition to "Yunman CP", there was also the voice of "Yunying CP".

It was only because Qing Yun and Tang Qianying became buddies and recognized each other as siblings that they disappeared.

Qin Manman frowned.

She discovered that these two people, who called each other 'Little Yunzi' and 'Little Shadow', were probably more like enemies.

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

Qin Manman's breathing became heavier.

With a cold gleam in her big almond-shaped eyes, 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 couples to declare their sovereignty!

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

Originally she planned to use it as a small reward.

Never mind!

I can’t take care of it anymore!

Qin Manman pulled Qing Yun's schoolbag out of the drawer.

Pepsi school bag.

These are the bottle caps that Qing Yun saved last year that no one in the classroom wanted and replaced them according to the rules.

The corners of Qin Manman's mouth turned up.

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

She will not drink Coke, a carbonated drink that destroys the figure.

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

Qin Manman said arrogantly that he had long disliked his patchwork canvas bag!

Except for this plastic best friend next to him, it seems that many girls in the class have secretly mended his schoolbag!

One by one, they are all backstabbers!

But they all clumsily sewed the canvas bag to look like a beggar’s bag!

Pia~!

Without any psychological burden, Qin Manman raised his hand and pasted his own sticker in the most conspicuous place on his school bag, covering the Pepsi LOGO.

If you have the ability, come to me and file a lawsuit!

Qin Manman kept doing nothing and took out Qing Yun's wallet from his schoolbag.

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

One on the outside and one on the inside. Qin Manman attached it very carefully to ensure 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 doing?
Chapter completed!