Chapter 70: Lagrangian Remainder
Qing Xiaoyu spoke very carefully, and Zou Xuerong quickly learned it and thanked her in a low voice.
But Shen Yue and Jiang Shiwen still opened their confused and clear eyes, and slapped the four big characters I don't understand clearly on their faces.
Shen Yue was purely too lazy to use her brain, and just wanted to enjoy the feeling of being noticed when Qing Xiaoyu gave her a lecture, while Jiang Shiwen tried his best to understand and really couldn't understand.
Qing Xiaoyu looked at the time and began to rush people, "The afternoon class is about to start, aren't you going to leave?" ”
Zou Xuerong looked at the time, and immediately panicked, today is her first day of school, she can't be late, fortunately her classroom is next to it.
"Then I'll go first, Yueyue, I'll come to you after school......" After speaking, Zou Xuerong said softly to Qing Xiaoyu again, "Thank you too." ”
Qing Xiaoyu replied politely, "You're welcome." ”
Jiang Shiwen was very crazy, but he also followed Zou Xuerong.
On weekdays, his grades in the class are not too bad, the level is lower than average, the teacher never talks about him, and he still feels good about himself.
But today he was taught to do questions by a child younger than him, and he still hasn't understood it, which is really unbearable!
He can not learn, but he can't learn and he can't learn!
Jiang Shiwen secretly made up his mind to study hard from today, at least next time, to be able to understand.
The first class in the afternoon was a math class, and as soon as Niu Kaihuai walked into the classroom, he saw a sober Shen Yue, and he raised his eyebrows a little surprised.
Niu Kaihuai thought that he had never been a person who would wronged himself, and he had to know what he wanted to know, so he asked Shen Yue directly, "Why don't you sleep." ”
Shen Yue: ?
Niu Kaihuai saw that Shen Yue didn't answer, thinking that she didn't hear clearly, so he asked again, "Why didn't you sleep today?" ”
Shen Yue was sure that he was asking himself, so he replied, "To get a good night's sleep." ”
Hearing this answer, Niu Kaihuai felt that it was very reasonable, but it was not so reasonable.
Looking at Shen Yue's quiet face, Niu Kaihuai directly wrote a question on the blackboard and said to Shen Yue, "Shen Yue, you come up, solve this problem before class, and if you can't solve this class, stand up." ”
I'm going to see if you're really sober or fake sober today.
The questions on the blackboard are very concise and prove:
tan1>3/2。
This is a very conventional proof question, but it is undoubtedly beyond the curriculum for ordinary first-year students who have only learned some basic formulas.
Ye Yin only glanced at it, and wondered if Shen Yue had offended the old bull, otherwise how could he ask her such a question.
If you use the conventional method to solve this problem, you need to make a tangent of y=tanX at X=π/3 first.
The derivative of the f(X) hypothesis is used to prove that tan1>3/2 decreases monotonically within the defined domain.
There are only five minutes left before the class time, and it is impossible to solve it in five minutes if you do not have the knowledge required to solve this problem and are very familiar with it.
Ye Yin couldn't help but sweat for Shen Yue.
However, if Shen Yue doesn't know this question later, will he be able to take the opportunity to talk to Shen Yue.
No, no, no, no, that's not right! How could he have such a vicious idea! I cursed my classmates for not being able to do the questions!
Although it is true that only a few people in the entire class can make this question, he can't curse Shen Yue.
It is really the color of the south without Amitabha, that is, the color of emptiness......
Ye Yin began to chant the scriptures, but Shen Yue looked at the question in front of him, but there was only that sentence in his mind, and he couldn't solve this class and stood up.
Just stand up.
on.
Standing for a class, too tired, no, absolutely not.
She is only 12 years old, how can she waste her time standing when she should think about nothing, do nothing, and quietly accumulate strength for the future prison.
She's going to sit!!
At this moment, Shen Yue's heart suddenly surged with a fighting spirit, which was the determination to never want to stand in a class.
She came to the podium, picked up the chalk, looked at the topic twice, and began to search for relevant knowledge points in her brain.
Learn now, understand now.
Shen Yue paused for about a minute with the chalk and didn't move, and Niu Kaihuai's heart gradually cooled.
Grass, this Nizi can't really be solved, right? If she was really punished for standing for a class, would Brother Shen stew himself?!
It's all to blame Brother Shen for misleading himself by saying that Shen Yue is a mathematical genius, but if Brother Shen hadn't said such a thing that day, wouldn't he have come up with such an over-the-top question?!
It doesn't matter, even if Shen Yue can't solve it, he can be said to have deliberately used this question to refresh everyone later, and it won't get in the way.
Niu Kaihuai comforted himself, and Shen Yue finally started writing.
From the beginning to the end of the first stroke, in one go, without any pause in between, it took less than a minute to solve the problem.
Saying that the answer is not quite right, it should be written.
It was as if the answer was already in her mind, and she was just writing it out.
When Shen Yue finished writing the answer, the class bell had not yet rang.
Niu Kaihuai looked at the answer given by Shen Yue, and was surprised that Shen Yue did not use ordinary derivatives to solve it, but used the inequality obtained by Taylor's formula to shrink.
If this question is solved by ordinary methods, it is necessary to write five or six lines of equations and keep converting, but now, in Shen Yue's hands, it only takes three equations to solve it.
Niu Kaihuai stared at Shen Yue's answer, checked it repeatedly, and finally determined that her answer was right.
When I turned my head, I found that Shen Yue was looking at him obediently, but there was a sentence clearly written in his eyes, can I go back and sit down?
Niu Kaihuai always felt as if he had grasped something, but this feeling disappeared in a flash, he couldn't grasp it, so he could only wave his hand to let Shen Yue go back and sit down.
Shen Yue sat back on the stool and breathed a long sigh of relief.
Luckily, I don't have to stand anymore.
Qing Xiaoyu came over at this time, looked at Shen Yue with eyes that were completely different from the morning, and exclaimed, "Shen Yue, you actually use the Taylor formula, I only learned this formula from Ye Yin yesterday." ”
Shen Yue nodded, she also learned it yesterday.
When I was sleeping, I accidentally heard the formula next door talking.,By the way, I remembered it in my head.,Just thought it might be useful to turn this knowledge out of my mind.,I didn't expect it to be really solved.。
However, even if this can't be solved, there is another way to solve it, but it will be slower, and it is likely that she will not be able to finish writing before the class bell rings, so she will still have to stand.
Luckily, I had a Taylor formula in my head.
Although I don't know who told her, ...... Thank you for nature's bounty.
Qing Xiaoyu saw Shen Yue's small appearance with his hands folded on the side, and approached curiously, "What are you doing?" ”
Shen Yue's movements remained the same, "I'm thanking nature for its gifts. ”
Qing Xiaoyu: ?
I don't know much about it, but it's so cute.
Qing Xiaoyu poked the back of Shen Yue's hand, "It's class, Lao Niu is watching you." ”
"I'm so tired, I want to rest."
Qing Xiaoyu and Shen Yue sat in the second row, it can be said that they were plotting loudly, Niu Kaihuai listened to it with a painful head, and finally couldn't bear it anymore, "Shen Yue, you are tired of solving a problem, you come up and solve another problem, and if you solve it, you will play casually in this class, otherwise you will listen to the class carefully!" ”
Niu Kai came up with a calculus problem, full of confidence.
Five minutes later......
"You play...... Play low-key and don't tell your brother. ”
So Shen Yue took out a novel very high-profile and started reading it.
"One child with 108 treasures, the president is very troubled".