I Just Want to Be a Quiet Top Student

After school in the afternoon, Shen Qi came to a small classroom in the laboratory building with a plastic bag of drinks.

Counting Shen Qi, there are twelve students gathered in the classroom. They are the twelve students with the strongest mathematics ability in Nangang No. 2 Middle School. They come from different grades and classes. There are no girls, but all boys.

They are the Nangang No. 2 High School Mathematics Competition Team, representing the top level of mathematics in the school.

It is not easy to be selected into this team, and those who fail to pass the math test are automatically disqualified from joining the team.

There are a total of 28 science classes in senior one, senior two, and senior three. Shen Qi and his senior two (2) class are the only one selected for the school mathematics competition team. Zhang Wanbang gave Shen Qi a recommendation.

"Boss, please drink tea."

"Boss, please drink tea."

Shen Qi took out iced black tea, iced green tea, and lemon tea from the plastic bag, and handed tea to the remaining eleven team members one by one.

Shen Qi's father had taught him that in the early stage of integrating into a new environment, no matter how powerful you are, you have to keep a low profile first, observe the situation secretly and then start to show your strength.

In fact, Shen Qi knew that there was such a mysterious team in the school. Sometimes their assembly place was in the laboratory building, sometimes in the library. They lived in no fixed place and were hard to find.

This morning, Zhang Wanbang notified Shen Qi to report to the small classroom in the laboratory building after school to prepare for this weekend's high school math league.

This is Shen Qi's first time joining forces with the school's math competition team. As a newcomer, he first served tea and observed secretly.

"How many years and classes?" A fat man took Shen Qi's iced tea and asked.

Shen Qi replied: "Senior Grade 2 (Class 2), Shen Qi."

"Oh, Shen Qi, a sophomore in high school." Fatty looked at the other students and asked them, "You are all sophomores in high school, do you know Shen Qi well?"

"Unfamiliar." Several boys in the second year of high school shook their heads.

None of the people present here have ever had a perfect score in mathematics. Shen Qi, who has suddenly emerged in the past two months, was a scumbag before. It is normal for people not to know him well.

Shen Qi kept an embarrassed yet polite smile: "I'm a newbie, please take care of me, brothers and fellow students."

"Sit down, Shen Qi." The fat man asked Shen Qi to find a seat to sit down, and then introduced himself: "My name is Meng Tianqiang, I'm in Class Three (5) of Senior High School, and I'm the captain of this team. You are welcome to join, Shen Qi."

"Boss, please drink another bottle of tea." Shen Qi took out a bottle of oolong tea from the bag and handed it to Meng Tianqiang.

"Stop drinking, stop drinking, and lose weight." Meng Tianqiang waved his hand and refused to answer.

Shen Qi unscrewed the cap of the oolong tea bottle and drank it by himself.

This team gave Shen Qi the feeling that everyone did not reject him, nor did they show any particular enthusiasm.

Let's talk about observation.

Since it is a competition team, there must be a coach.

Shen Qi found that the rest of his teammates were reading books and doing questions on their own. Half an hour passed, and the coach hadn't appeared yet.

Could it be that the training method of this mathematics competition team is to concentrate on self-study?

Shen Qi didn't dare to ask more questions, and continued to observe secretly.

When it was close to 7 o'clock, a person entered the small classroom, a little old man, thin and a little hunchbacked.

"Hello, Teacher Cao!"

"Hello, Teacher Cao!"

Meng Tianqiang and others greeted the little old man one after another.

"Hello, Teacher Cao!" Shen Qi greeted him, he didn't know this little old man, so calling Teacher Cao would never go wrong.

Although Cao Xin'an was old, his eyes were sharp. He glanced at Shen Qi: "New here? Recommended by Xiao Zhang?"

"Well, my name is Shen Qi, a sophomore in high school, please give me some advice from Teacher Cao." Shen Qi guessed that this old man Cao is probably the coach of the team, and the little Zhang he was talking about should be Zhang Wanbang.

"Mathematics relies on talent and savvy, so what's the point of teaching me?" Cao Xin'an said calmly.

Shen Qi stopped talking, why is this old man Cao's coaching style the same as that of Zhang Wanbang, Zhang Wanbang was brought up by old man Cao?

There is a small blackboard in front of the classroom. Cao Xinan walked to the blackboard, picked up chalk and wrote the following question:

"It is known that a is the only real root of f(x)=0, and a\u003e0, please prove that f(x) can be divisible by (x-a); if a is an imaginary root, please prove that f(x) can be divided by ( x+a) is divisible."

After writing the topic, Cao Xin'an said to Shen Qi: "New student, I will give you 10 minutes to write out the certification process. I smoke two cigarettes outside the classroom. If you haven't completed the certification when I come in, please Go back where you came from." After finishing speaking, he left and went to smoke outside the classroom.

There are checkpoints everywhere in life, Mr. Cao is testing his math level. Shen Qi stood up, ready to solve the problem.

"Shen Qi, we all went through this kind of test when we first joined the team. Those who have no strength will be eliminated." Meng Tianqiang said with the attitude of someone who has experienced it.

"I understand, thank you Captain Meng for reminding me." Shen Qi walked to the small blackboard, picked up the chalk but did not answer immediately, he fell into deep thought.

It's right to fall into deep thought. The questions given by Mr. Cao are of course difficult. Meng Tianqiang stared at Shen Qi's back, the new junior brother, you are nice and smart, but unfortunately you don't have hard skills.

"This question is too simple. Is this the level of our school's math team?" Shen Qi said in his heart, it shouldn't, it can't, if Xiao Zhang (Zhang Wanbang) was brought out by old man Cao, with the two of them The style will not produce such a low test questions, right? I want to train Chen Xiaoting intensively for a period of time, and she can solve the problem within 10 minutes.

trap.

This must be a trap.

There are pitfalls everywhere in life.

The rivers and lakes are dangerous.

Five minutes passed, Shen Qi did not write a single mathematical symbol, he stood in front of the blackboard in a daze.

A few sophomores in their seats whispered: "Is he from class 2?"

"The overall mathematics level of class 2 is average, just a little bit better than that of class 3. Classes 2 and 3 are taught by Mr. Zhang Wanbang."

"Top students are not top-notch. Huang Zikun is the best in math in his class, but he can't make it to the school team."

"This Shen Qi should come out of Class 2 recently. I seem to have a little impression that he got a perfect score in mathematics in the midterm exam last time?"

"Among us, who doesn't have a perfect score in mathematics?"

The rest of the team members stopped the books and exercise books in their hands, and gathered around to watch Shen Qi. Their suspicions about Shen Qi continued to deepen. Why did this guy sneak into the team?

At this moment, Shen Qi suddenly started to write quickly, brushing, chalk dancing between his fingers, mathematical symbols dancing deftly, and forming an offensive lineup according to certain rules, launching a fierce offensive to prove the assumptions on the blackboard.

Cao Xin'an's question is related to number theory.

Number theory is one of the branches of pure mathematics, which can be traced back to the Diophantine equation in ancient Greece.

The most famous work of the Greek mathematician Diophantus is "Arithmetic". Fermat, the "King of Amateur Mathematics", wrote a hypothesis in the margin of this book when he was studying "Arithmetic", and explained it in words: "This hypothesis must be If it is established, I can write the proof process, but there is too little space in the book to write it down.”

This is the source of the famous "Fermat's Last Theorem" in the history of mathematics. It was not until 1995 that Fermat's Last Theorem was proved to be true by the British mathematician Wiles.

Qin Jiushao, one of the four great mathematicians of the Song Dynasty in my country, also had a deep research on number theory. The "Jiu Shao Algorithm" recorded in high school mathematics textbooks came from Qin Jiushao.

Fermat is recognized as the mathematician who made the greatest contribution to number theory.

Shen Qi is using Fermat's method to solve the problem, which is the main reason why he meditates for 5 minutes without writing.

Among the three great gods Diophantus, Qin Jiushao, and Fermat, Shen Qi finally chose Fermat.

Before Cao Xin'an entered the classroom, Shen Qi completed the proof, then returned to his seat and sat down.

"To decompose x^2-1 into two linear factors, let

x^2-1=(x+a)(x-a)

multiply the term to the right of the equal sign

Then make x on both sides of the equal sign equal to the coefficient of the power term..."

The rest of the math team stared at the small blackboard with dazed faces, speechless for a long time, what did the newcomer write, I couldn't understand it!

Captain Meng Tianqiang is a senior in high school. After all, he is well-informed. He was the first to understand Shen Qi's proof idea: "So Shen Qi, you didn't use the Jiushao algorithm to prove it, but introduced a new proof method to simplify the complexity. The proving process of this method refreshed me, and the crowning touch is that the coefficients of the transformation and the power term are equal."

Shen Qi explained: "It's not too new. This proof method existed in France in the middle of the 17th century, and the Jiushao algorithm appeared in the Southern Song Dynasty in the 13th century. In fact, Qin Jiushao got involved in the study of number theory earlier than Fermat. It has been 400 years. Perhaps Fermat has read Qin Jiushao's "Nine Chapters of Mathematics". From the perspective of mathematics itself, Fermat's theory is more incisive, and he can certainly see farther by standing on the shoulders of giants."

"Oh, amazing, Shen Qi, you have already taught yourself Fermat's number theory." Meng Tianqiang instantly looked at Shen Qi with admiration, and he said to the sophomores, "Hey, you are all sophomores, are you really unfamiliar?"

"Once born and second time familiar!"

"I'm familiar with it now."

"Class 2 has produced talents since ancient times, Shen Qi can do it, and he's a late bloomer."

"Shen Qi, after you join our team, there are exactly twelve of us, and all the golden saints are in place!"

"Shen Qi, what constellation do you belong to?"

Several high school sophomore boys immediately became familiar with Shen Qi, like brothers who had been separated for many years.

"Brothers, let's play together from now on." Shen Qi's secret observation has reached a preliminary conclusion. Among the group of people in the classroom, Meng Tianqiang's math level is higher, and the other ten people are at most level 2 in math. If you can give them rating words.

"What's the noise!"

Suddenly shouted harshly, Cao Xin'an returned to the classroom.

Everyone was quiet and didn't speak.

When Cao Xin'an came to the small blackboard, he simply glanced at it and made a decision in his mind.

Without any change in expression, Cao Xin'an looked at Shen Qi and asked, "How old are you in self-study?"

Shen Qi thought for a while and said: "The books I read are quite complicated. If I insist on comparing them, I should study by myself at the stage of sophomore, junior, and junior."

Boom.

Cao Xin'an tapped on the blackboard: "Shen Qi, self-studying university content is great? Just remember, in the number league competition, you are not allowed to use methods beyond the scope of high school textbook knowledge. This is equivalent to cheating. What's wrong? Habits, did Zhang Wanbang teach you?"

"No, no, I created it myself, I created it myself." Shen Qi definitely can't let his mentor Zhang Wanbang take the blame, if he wants to take the blame, the system will take the blame.

"Self-righteous, correct me!" Cao Xin'an roared, and then left the classroom with his hands behind his back.

Shen Qi was stunned, Cao Xin'an didn't comment a single word on his proof, and left after cursing a few words, more envious than Zhang Wanbang. Are all math teachers like this?

"Mr. Cao's test, have I passed or not? Should I go home or stay?" Shen Qi asked Meng Tianqiang.

Meng Tianqiang smiled and said, "Of course I will stay. Teacher Cao has already said that you are not allowed to use your university knowledge to solve problems when you participate in the main competition of the Mathematics League. Congratulations, Shen Qi. On behalf of the strongest Mathematics Team of Nangang No. 2 Middle School, I extend my warmest welcome to you! Come, come, applause!"

clap clap.

There was warm applause in the classroom, and all the team members officially accepted Shen Qi.

"Boss, please drink tea." A high school boy wearing glasses handed Shen Qi tea, lemon tea.

"I bought this tea." Shen Qi took the lemon tea.

"Isn't it too late to buy new tea, but the sense of ceremony must come out. Brother Shen Qi, teach me Fermat number theory when you have time." The boy in the first year of high school asked for advice humbly.