Chapter 19 The sky, clouds and shadows linger together?(2/3)
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.
To be continued...