Tang Qianying's words made some people who were originally prepared not to listen suddenly widen their eyes.
What does it mean?
The worst student in the math class can use it, but we can’t
Haha
That’s interesting.
The troublemakers turned their attention to Qin Manman's face.
"Manman, you haven't tried to interrogate the men in your family, so you've already made a fuss." Zhou Li winked at her.
Before Qin Manman said anything, Tang Qianying blushed.
My quick words seemed to make me angry, and I also cheated Qin Manman.
It seems that no matter how Qin Manman answers this kind of question, he will be misunderstood.
Qing Yun and himself couldn’t stand trial.
Although she was very unhappy, the three labels of childlike appearance, fierceness, and little loli made her receive no less attention on campus than Qin Manman.
The second on the school beauty list and the first on the school beauty list steal men
This kind of thing is a hot topic everywhere.
Qin Manman said he would not go to trial and believed him, which was equivalent to indirectly saying that he was not as good as Qin Manman.
This Zhou Li
Also a sister
Plastic
She tugged on Qin Manman's sleeves to please her and asked her to Ignore Zhou Li.
Qin Manman patted her hand and smiled indifferently, "I believe him."
Tang Qianying froze on the spot with a smile.
Well, she is indeed not as good as her.
Empress
It’s not a shame
Just when everyone was watching the show, Qin Manman said leisurely again, “He doesn’t have the courage. ."
The classroom burst into laughter.
As expected of the empress.
Tang Qianying felt like she was on a roller coaster, being manipulated by Qin Manman.
Now the only one left by Fang was Qing Yun who looked embarrassed on the stage.
It’s so disrespectful
Seeing the expression on Qing Yun’s face that looked like constipation, the students became even happier.
Peng Changxu laughed loudly, "Tracheitis, bronchitis, bronchitis, your disease is progressing too quickly, it's only the second day."
A few friends are even more unscrupulous slapping the table.
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 ordinary class across the corner from the base class, the veins on the head teacher's neck were twitching.
It’s too outrageous
It’s too outrageous
Is there any justice?
Can you please be quiet
He gritted his teeth and said, "You are in a busy city, but you live in an empty valley. You must learn to find peace amidst the noise.
Students, please put on your earplugs."
A look of embarrassment Qingyun stood on the podium, holding the chalk and wanting to throw it to them.
Who the hell are you?
A bunch of sons of bitches
e
It doesn’t seem right, how can you include yourself in it?
He picked at his sneakers 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 silence immediately.
What the hell
Squatting service from the campus goddess
Large-scale dog abuse scene
Qing Yun stood on the podium and looked down The faces of the boys in the audience were embarrassed.
Especially those who had girlfriends, his eyes lingered on each one for a while.
Everyone understood the look in his eyes.
Have you seen it?
Brother’s throne
Although everyone knew it, Qin Manman gave him a sweet date with a stick.
But
It looks so sour
The girls, especially those with boyfriends, couldn’t wait to take out their notebooks and record them.
I have failed in my studies
I have failed in my studies
She is worthy of being an empress
This way of taming a husband is 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 his delicate minibus to the window on one side, and snorted softly.
Qing Yun felt even happier.
This woman insists on it.
/p>
Qing Yun’s voice slowly sounded in the classroom, “Following what Lao Wu just said, approaching equals the limit, which is true in high school.
For example, we are asking When it comes to the derivative of fxx2, according to the definition of the derivative, let It is more natural.
With the definition of limit, it is natural to have infinity.
Consider fx1x, where xa0, when x0, we know that fx is positive < /p>
But, what is infinity?"
The students in the classroom frowned, something seemed wrong.
Is infinity a number?
It’s a contradiction.
Li Fangping, who was at the back door of the classroom, smiled and listened.
Actually, 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.
What a pity.
Qing Yun continued to deduce, "If infinity is a number, we will do this when x0, record 1x.
According to the same process as above, we know that when x0, 2x, so there is 2x, so we get 2. According to the most basic arithmetic rules, we can solve it to 0. You see, this is a problem.
So, the approach and the limit cannot be equal. "
After that, he put his arms on the podium and pointed at the blackboard, "This is the real reason why you will be deducted points for using advanced mathematics methods in the college entrance examination.
Because it is out of touch. The definition category of middle school mathematics.
For example, the definition of differential limit in advanced mathematics is used, but this part of the knowledge is not available in our textbooks.
You. 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 value theorem, and then retroactively, you need to prove Lagrange's mean value theorem.
That's all up to this point. 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.”
< p>Everyone was stunned after hearing this.They are all interested in Lópida's Law, because it is a tool that contestants often use to show off.
At the end of the college entrance examination, they also wanted to learn some legendary forbidden arts.
After all, in the mouths of competitive students, everything can be said to be 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.
The contestants also seemed to have eaten flies.
Especially those people who were determined to teach Qing Yun a lesson in the college entrance examination room felt disgusted at this moment.
Special
They are not allowed to use truth bullets
After often using high numbers to solve difficult problems, they are also unfamiliar with conventional methods.
After all, this thing about deducting points is so disgusting.
Obviously, I have a strength of 150, but I 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 grading in the past two years. I don't know about other provinces, at least in Xishu. You use Lupida , the 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 state of confusion.
If you are not allowed to use it, why are you teaching me?
It is also written in such detail, with three examples for each theorem and 10 exercises.
You’re cheating your sister
She bit her lip and looked at the figure on the podium with a complicated expression.
QingThe corners of 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, he openly teased her bestie
Tang Qianying's face suddenly became as hot as fire.
He still talks about his own beauty
But in his heart, what kind of beauty is he?
Qin Manman’s lips curled up at this moment. smile.
She knows him too well.
Whenever Qing Yun 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 tainted by civilization."
Everyone laughed wildly.
"Youngest, you are too poisonous hahahaha"
"It was indeed me who drank c, Qing Yun and Qin Manman are both very good at catching bamboo shoots"
< p>Even Li Fangping couldn't stop laughing, turned around and shrugged his shoulders.This kid
has a poisonous mouth
"Xiao Yunzi, I will fight with you"
Tang Qianying stood up angrily , pointing the steel ruler in his hand at the hateful smelly man on the stage, and was about to rush over to the irreconcilable enemy.
Qin Manman quickly stopped and glared at Qing Yun angrily.
Qing Yun chuckled and said, "Calm down and listen to me. Forbidden techniques for the college entrance examination like Lópida's Law cannot be used by others, but 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 and touched his chin and thought 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 an action is seen as carefulness in the eyes of a caring person. Qin Manman smiled and turned his head to explain to Tang Qianying,
"You think, your final question has always been zero." If you learn these things and do it correctly, wouldn’t that be extra points?"
Tang Qianying completely understood.
These forbidden skills are poison to others, but to her they are the best magic weapon to gain points.
Li Fangping came over, took the question sheet, looked at it carefully and gave it back to her, "You should study carefully. Qing Yun wrote this set of things for you very carefully. I can't even sum it up, you don't want to I'm disappointed."
Li Fangping is not being modest. After all, he is a high school mathematics teacher, not a college mathematics teacher.
He has not 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., said to Qing Yun, who was about to return to his seat, "Tell the students Cauchy's mean value theorem, L'Hôpital's law and Taylor's formula.
You cannot use it for big questions, but you can use it for selective fill-in-the-blank questions. There's nothing wrong with it."
After that, he asked Tang Qianying for the question sheet and took it to be copied.
Tang Qianying's mind was in a mess.
He is very attentive to me
Why is he attentive to me
Uncle Li's words completely messed up her heart.
Qin Manman knocked on her desk and said, "Listen carefully to the lecture."
Tang Qianying shook her 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 way the boyfriend on the stage scolded Fang Qiu looked a bit handsome.
She bit her lip.
Okay
He is very handsome
But the exclusive customized tutoring that her real girlfriend did not enjoy was enjoyed by her best friend.
Qin Manman touched the bow on his head.
This is not green either.
But why did she feel like she was being cheated?
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 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 “Sichun” written on it.
What to do
The confused Qin Manman suddenly remembered something.
When she first entered the school, when she and he were dealing with the scandal, in addition to Yunmanc, there was also the voice of Yunyingc.
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 Xiaoyunzi and Xiaoying, were probably more like enemies.
And the skylight, clouds and shadows lingering together seem to be more natural than the bright clouds.
Qin Manman's breathing became heavier.
With a cold gleam in her big almond eyes, she took out a small transparent plastic bag from her schoolbag.
Photo sticker.
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 planned to use it as a small reward.
Ignore it
I don’t care about it
Qin Manman pulled Qing Yun’s schoolbag out of the drawer.
Pepsi Cola school bag.
ThisLast year, Qing Yun saved the bottle caps that no one in the classroom wanted and replaced them according to the rules.
The corners of Qin Manman’s mouth turned up.
Actually, 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 he bought it even if he didn’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 are all clumsy. The canvas bag was sewn to look like a beggar bag
ia
Without any psychological burden, Qin Manman raised his hand and pasted his photo sticker on the most conspicuous place on the bag. Covered Pepsi's o.
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 is also from Pepsi, and was exchanged with the 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’s eyes twitched at the sight.
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