From Almighty Scholar to Chief Scientist

Hearing what Jiang Jie said, Teacher Wang smiled and encouraged: "Okay, Teacher believes in you."

Then Teacher Wang looked at Lin Xiao and another boy, and asked, "What about you?"

Another boy named Xu Lin shook his head and said, "I won't take part in this cram school. I feel that the task of the third year of high school is still relatively heavy, but I will also participate in the competition then."

"Well, that's fine too. Maybe you can win a prize if you participate in the competition. Anyway, it's at least useful." Teacher Wang said.

"Lin Xiao, what about you?"

"I...I won't participate either." Lin Xiao said, "But I, like Xu Lin, will go on the day of the competition."

"it is good."

Teacher Wang nodded in satisfaction. In fact, in his opinion, this is the best result. Lin Xiao and the second boy are ranked in the top [-]. They should focus more on the college entrance examination. After all, according to their With the school's past results, the probability of winning the provincial second prize in the mathematics league is relatively small. As for the provincial first prize, it is even more impossible. It is better to spend more time on the college entrance examination. As for the third prize, for their current Results are completely useless.

And Jiang Jie's own grades are very good, and it's just right to take some time to study this thing now.

And Jiang Jie just said that he has a chance to win the provincial first prize, maybe it will happen?

In this case, when Jiang Jie goes to participate in the independent enrollment in Qingbei, the provincial first prize will give him a lot of points, and he will be more stable if he participates in an autumn camp or something.

"That's how it is, Jiang Jie, you go to the 3 multimedia classroom on the third floor of the laboratory building, and then train with the students from other classes in the second and third grades."

"Lin Xiao, Xu Lin, then you should review your own first. If there are some special papers in the training class, I will help you get a copy at that time. When the competition starts, the school will arrange a car to send it to you. You go to Xijing to participate in the competition."

"Jiang Jie, you have learned something in the training class, and you will share it with Lin Xiao and Xu Lin when the time comes, and you can discuss some questions together."

Listening to the teacher's arrangement, the three boys all responded, "Okay, teacher."

"Well, then it's all right, let's go."

Afterwards, the three students left the office.

After going out, Jiang Jie suddenly said to Lin Xiao and Xu Lin: "You don't need me to teach you? Anyway, if you don't even go to the training class, there is no need, and I don't have that much time."

Lin Xiao and Xu Lin looked at each other, and the former said, "No need, I won't waste your time."

"That's fine, then I'll go first."

After speaking, Jiang Jie left quickly.

Xu Lin looked at Jiang Jie's back and complained, "Whoever wants him to teach, I want to see if he can win the first prize."

Lin Xiao spread out his hands: "That will have to wait a month later, let's learn from us well."

"Hmph, maybe we won the third prize and the second prize or something even if we didn't participate in the training class? I searched the Internet before, and no one in our school has ever won the first prize. I still don't believe that he can win it. "

Lin Xiao smiled, "Let's just get the first prize too. Work harder and enter the winter camp."

Speaking of this, Xu Lin had nothing to say, and said embarrassingly: "Forget it, if I can pass the college entrance examination, I will burn my incense."

Lin Xiao shrugged and said no more: "Let's go here first, and go back early to have dinner."

Xu Lin nodded and separated from Lin Xiao.

Lin Xiao returned to the classroom, packed up his schoolbag, and put all the May [-]rd and other things into the schoolbag, especially mathematics, and put it all in one go.

He will definitely participate in the league, and he will take the exam well, and strive to get a spot for the CMO winter camp.

Although the system gave him the mission of finding the truth of the universe, getting some commendable honors is also in line with his current needs.

As for why I refused to participate in the training, it was meaningless.

With a truth aid, he can acquire knowledge at a significantly faster rate through self-study, and it is a waste of time to attend lectures.

……

In the next few days, Lin Xiao continued his studies.

Needless to say about the content of mathematics, he mainly reviewed some test outlines of the league in more detail.

At the same time, the head teacher did help him to get some things from the training class, including the analysis of the league outline, various knowledge points, as well as simulation papers, real test papers, etc., and also recommended a special book. The textbooks and exercise sets explaining the knowledge of the competition, the textbooks and exercise sets have to be bought by themselves, and of course Lin Xiao also bought them.

Through this kind of systematic learning, he can clearly feel that his mathematical knowledge is constantly improving.

At the same time, he also consciously studied advanced mathematics as a study in his spare time.

He just bought the first and second volumes of advanced mathematics that all science and engineering students will learn, the Tongji edition, and it is also the book that has caused countless college students to fail their courses.

If high school mathematics is just a shallow water area, then Lin Xiao, who suddenly entered advanced mathematics, undoubtedly entered the transitional area from shallow water area to deep water area.

And the kind of thinking ability that prevents people from killing people and Buddhas from killing Buddhas in high school mathematics has also become a little slower because of the beginning to accept new knowledge.

For example, in advanced mathematics, the expression form of the derivative becomes dy/dx, a notation handed down by Leibniz. As for the f`(x) used in high school, it is the Lagrangian method.

In addition, there are some new theorems or formulas that he needs to be familiar with, such as Taylor expansion, Lagrangian median value theorem, Cauchy median value theorem, etc. These are the things that need to be learned after the first few courses of advanced mathematics in university , At the same time, I don't know how many college students are stumped.

Of course, Lin Xiao cannot be troubled.

For him, it is just a process of acceptance. With the help of the system, he can understand these new knowledge very quickly. After all, these things have not really entered the deep water area of ​​mathematics, and he is a college student.

In this way, time passed quickly and came to August 8th.

This week, the school officially started, and the students in the first and second grades officially ushered in a new semester.

And today is Friday, and the third year of high school also ushered in a mock exam.

For the third year of senior high school, it is basically a normal rhythm to have one test a week and one test every two weeks. Through this frequent test, students will not be nervous when they come to the college entrance examination.

As for why there was no exam for more than half a month, it was because it was still the summer tutoring period, so the school did not prepare them for the exam.

So this exam is the first exam that this year's senior year faces.

For Lin Xiao, this is also an exam to test how well he has learned with the help of the system in the past half month.

Leisure in the Chapter 5 exam

"Okay, students, please bring your schoolbags and books up now, we will hand out the papers right away."

In the first examination room, the invigilator greeted the thirty students present.

At a glance, it can be found that this seems to be in the first class of science, because most of the students in this examination room are students in the first class of science, that is, students in the rocket class.

The examination rooms of Jincheng Middle School are sorted according to the rankings of the previous examination. There are [-] people in one examination room, so the top [-] people in the last examination can sit in the first examination room. It is also nicknamed the Battlefield of Xueba by the students of the school. , People from other examination rooms want to come in, but people here don't want to go out.

Lin Xiao sits in the fifth and last row, the second seat, which means he was ranked 2th in the last exam.

And behind him is Chen Ang, who was ranked 27th in the last exam.

After putting the schoolbag on the podium, before the teacher handed out the papers, they chatted a few words.

Chen Ang pointed to the first column, and asked, "Old Lin, are you going to attack the sequence of gods this time?"

The first column in the examination room is what they call the sequence of gods, that is, the top six in the grade, who are regarded as the gods of learning. Of course, the top six will change every time the exam is over, and the competition is still fierce. A small number of one or two can live in the top few.

Lin Xiao rolled his eyes: "Ah, yes, yes, how do you know?"

Chen Ang: "Look at your state for more than half a month, Jiang Jie can't learn from you."

"It's the third year of high school. If you don't work hard, you will go to the construction site in the future?"

"You are quite conscious."

"Stop talking, the exam is coming soon." Lin Xiao waved his hand, too lazy to talk to him.

Chen Ang prayed: "Don't test "Pipa Xing" when writing ancient poems silently."

The simulated exam is naturally the form of the college entrance examination. The first Chinese exam takes two and a half hours.

For this, Lin Xiao has nothing to do, the linguistic system does not recognize it.

So he can only write honestly based on what he has learned before.

However, when writing ancient poems silently, it was a coincidence that a sentence in "Pipa Xing" "the silver bottle broke and the water burst out, and the iron cavalry protruded and the sword and gun blared", Lin Xiao could even hear Chen Ang's voice coming from behind C language.

There is nothing to say about Chinese, as far as Lin Xiao can play normally.

Soon it was mathematics in the afternoon, which was the main meal for Lin Xiao.

After getting the test paper, he briefly browsed all the questions. He has basically mastered all the knowledge points of high school mathematics in the past half month, and quickly came to a conclusion.

150 points, steady.

He couldn't find any question that could make him lose his train of thought.

Whether it's the big questions behind, or the next few difficult questions that you choose to fill in the blanks.

Then, he started to write.

As he wrote, he even found that he hadn't entered that immersive state.

This is probably because his brain is too lazy to concentrate on thinking about this kind of problem.

Because whether he has entered the immersion state or not, the speed of solving this problem is the same, just like playing minesweeper with a GTX1080TI, the fan does not turn.

So just like that, he almost blocked and killed functions with functions, and wrote all the questions geometrically.

After finishing writing, he looked at the clock hanging in the classroom. Good guy, it's only been an hour, which means he finished this paper an hour earlier.

In the past, he definitely couldn't do this.

This made him feel a kind of blissful helplessness, because the examination room only allowed to hand in the papers half an hour earlier, and if he finished writing an hour earlier, he would have to wait honestly for half an hour.

Turning to look at the people around, well, they are all still working hard.

He shook his head, simply picked up the scratch paper, wrote the Taylor median theorem he had just learned some time ago, and began to try to deduce the proof method of this theorem.

Taylor's mean value theorem is one of the basic theorems in differential calculus, and plays an important role in the mean value theorem of differential calculus.

And the best way to understand a theorem is to learn how to prove it.

Therefore, Lin Xiao is now trying to prove it with the methods he can think of.

As for what method to use?

He fell into thinking, his knowledge reserve was limited to high school and junior high school, and he didn't have many proof tools, and he didn't want to use the methods he knew before to prove, such as using Cauchy's median theorem or L'Hopital's rule, etc. .

After all, for him, this is like a challenge in his spare time, and he has to go out of his own way.

It's probably like walking on the sidewalk, looking at the bricks below, and challenging yourself not to step on the white ones.

Not for anything else, just for the joy of the mood.

Ever since, doing the test paper did not let him fall into the immersion state, and at this time he fell into it because of thinking about this problem.

Not long after, his eyes suddenly lit up, and he found an idea.

That is to use mathematical induction, which is one of the few proof methods he has mastered in high school.

When you have an idea, start writing.

He quickly turned over the draft paper, which was blank.

In fact, after finishing the test paper, he didn't use much on the first side of the draft paper, because he solved the answers directly on the answer sheet, and some questions were calculated by mental calculation. .

Without saying much, he started writing from the top.

[Taylor’s median value theorem: If the function f(x) has a derivative up to (n+1) order in an open interval (a, b) containing x, then when x is in (a, b), f(x) It can be expressed as the sum of an n-degree polynomial of (x-x) and a remainder R(x): f(x)=f(x0)+f′(x0)(x-x0)+…]

[Lemma 1: f(x) is derivable on [a,b], and f′(x)≥0, then f(x)≥f(a), x∈[a,b].

Proof: Since f'(x)≥0, so...

Let g(x)...

Build function h(x)...

Prove using mathematical induction for n:

If n=0, obviously established;

...]

It is also a challenge for Lin Xiao to prove such a problem for the first time, but this cannot prevent him from being quick enough in thinking.

Just like that, he wrote in a hurry, thinking about the advanced mathematics knowledge he had learned recently, as well as the knowledge that can be used in high school mathematics.

In addition to increasing his learning efficiency, the system has also improved his memory. Although it is not possible to achieve a photographic memory, he will not forget the knowledge he has learned so easily.

Those mathematical knowledge are like abstract concepts. You don't need to remember the detailed words, you only need to remember what it says in general, and then, when you use it, you can directly associate with the relevant knowledge.

Time passed slowly, and Lin Xiao looked like other students from the outside, immersed in the math papers.

An invigilator suddenly stepped down from the podium and began to inspect.

The invigilator is Ding Ping, a mathematics teacher, and he is also the teacher who trains Jiang Jie's students participating in the mathematics league.