I Just Want to Be a Quiet Top Student

The teachers of each subject in the second year of senior high school completed the test paper review and total score statistics overnight. This is an efficient teaching team.

On Thursday morning, in the classroom of Grade 2 (2), 48 students each had a report card, which was also a ranking list.

This ranking list is printed out after editing in excel. The top row consists of seven cells: Chinese, Mathematics, English, Physics, Chemistry, Biology, and Total Score.

The leftmost column pulls out the ranks of the 48 students in the class in descending order.

1. Huang Zikun, Chinese 126, Mathematics 145, English 138, Physics 97, Chemistry 90, Biology 99, total score 695

2. Qian Huihui, Chinese 139, Mathematics 122, English 148, Physics 72, Chemistry 81, Biology 80, total score 642

...

15. Shen Qi, Chinese 88, Mathematics 150, English 95, Physics 86, Chemistry 80, Biology 82, total score 581

The full score for Chinese, Mathematics and English is 150, and the full score for Physics and Chemistry is 100.

Shen Qi got a full score in math again, and he was the only one in the class who got a full score in the math test.

Relying on the contribution of mathematics, Shen Qi's total score ranked directly among the top 20 in the class, an improvement of 32 places compared with the last final exam.

"From the data analysis, my math performance is normal. The average score of the whole class in this math test is 109.5. Of course, I have to score higher than the math average. After all, the level 3 math index."

"Physical and chemical students also performed normally, with an average score of 80.7 in the class."

"88 in Chinese and 95 in English, both below the average, as expected."

On the ranking list, you can see the scores of all the students in all subjects in the class. Shen Qi silently conducted a simple mathematical analysis. The class is ranked 15th, so you can have an explanation when you go home.

It is worth noting that Huang Zikun once again took the first place in the class with a total score of more than 50 points ahead of the second place Qian Huihui.

"If Huang Zikun is to be singled out, a perfect score in the mathematics, physics and chemistry test is not enough. This guy has no weaknesses."

Once people make progress, their ambitions will grow rapidly. Shen Qi glanced at Huang Zikun in the front left. If he wants to beat this all-around player, he must invest in Chinese and English, and both physics and chemistry students must be promoted to level 2, five subjects. There is a total investment budget of 5,200 Xueba points for each subject.

The system suddenly prompts: "Congratulations to the host for obtaining a new achievement: tied for the first place in the school in the math test! Reward 1,000 Xueba points."

Shen Qi got a perfect score of 150 in the mathematics test, he is the first in the class, and he must be the first in the whole grade. The first in the whole grade is equivalent to the first in the school, and being tied for first means that there are people in other classes who have scored 150 in the math test. After all, Nangang No. 2 Middle School is a key middle school, and Shen Qi is not the only one who is a master in mathematics.

What puzzled Shen Qi was: "It was just an in-class test last time. I got the first place in the class in Mathematics 150, and the system rewarded me with 2000 points. One, why did you reward me with 1000 Xueba points? I really need Xueba points!"

System: "The host must deduct a part of Xueba points to fight low-level monsters as a high-level player. You can understand 1,000 Xueba points as after-tax income."

"Nimma, I can understand the diminishing experience value of high-level players playing low-level monsters, but your taxes are too heavy! Black shop!" Shen Qi took the ordinary high school math exam as a level 3 math player, and the points he earned Need to pay heavy taxes. You obviously don't pay taxes at level 2, which means that level 3 is a critical point. In the future, you need to play some advanced dungeons in the field of mathematics to get more Xueba points.

Chen Xiaoting at the same table has been paying attention to Shen Qi for a long time. Shen Qi didn't say a word after getting the report card. He must be very happy, right?

"Shen Qi is so good, you got full marks in the math test again! And your total score ranked higher than me, envy, envy and hate!" Chen Xiaoting said enviously, she got 106 points in the math test this time, with a total score of 549, ranking in the whole class 24 bits.

"Water?" Shen Qi came back to his senses.

"I said, you! Good! Great! Terrible!" Chen Xiaoting raised her volume.

"Oh, it's okay." Shen Qi was still happy to get the 15th place in the class, after all, the small goal was accomplished.

Chen Xiaoting asked cautiously: "Shen Qi, there is something I don't know if I should say it or not?"

"You don't want to say something about MMP to me, do you?" Shen Qi was taken aback. I surpassed you in this mid-term exam. Do you hold a grudge against Chen Xiaoting? If you really are a top student for a long time, you will find that you have fewer and fewer friends and more and more loneliness!

However, Chen Xiaoting didn't say a word about MMP, she asked again: "Recently, Shen Qi, you have been running to Teacher Zhang's office every day...

"Is Teacher Zhang giving you some advice?" Chen Xiaoting showed deeper envy.

"So what you want to say is this sentence." Shen Qi smiled, thinking too much, Chen Xiaoting is still very qualified.

"It can't be regarded as a simple discussion. The relationship between Teacher Zhang and I is mainly about discussion and communication." Shen Qi knew that the daily life between him and Zhang Wanbang could not be hidden from other students in the class. Classmates get along day and night, and no one can hide it from anyone.

"It seems that you are Teacher Zhang's key training object, that's great." Chen Xiaoting's understanding of Shen Qi is gradually changing, and it is not easy to be favored by the head teacher.

"Xiao Ting, you don't have to envy me. I only have good grades in mathematics, and the other subjects are very average. The content of the communication between me and Teacher Zhang has nothing to do with high school mathematics, it is purely a hobby."

"It looks so mysterious, I really want to see the content of your communication."

Shen Qi casually took out a piece of paper from his schoolbag, which was the "internal reference 10" between him and Zhang Wanbang.

"Well, it's this thing, and it's not really a mystery."

Chen Xiaoting received the "Internal Reference 10" in a very sacred way, and on the paper was written:

"The trigonometric formulas of imaginary angles can be replaced by hyperbolic functions, and Euclidean geometry is no longer applicable here... Extended literature "On Non-Euclidean Geometry" (J. Bollio edition), "New Geometry with Parallel Complete Theory Fundamentals (Lobachevsky edition)."

"The processing of infinite quadratic forms, that is, the quadratic forms themselves with infinite variables, is a purely algebraic problem, and the advanced ones only talk about it in general and do not go deep into it... Extended literature "Principles of the General Theory of Linear Integral Equations" (hope Albert version)."

"When it comes to integrals, I have to mention Newton and Leibniz. You can first study Newton's lecture notes when he was in the Royal Academy of Sciences: "Universal Arithmetic."

...

Chen Xiaoting found that she knew all the words on the paper, but she couldn't understand: "As a math scumbag, I really can only read... Among so many foreign names, I know Newton, and I still pass the physics class Newton III." know the law."

"Like I said, this has nothing to do with high school math."

"Shen Qi, can you tutor me in high school math?"

"Teacher Zhang speaks very well. He is an excellent teacher in the city. You just need to listen to his lectures carefully." Shen Qi said sincerely, in his mind Zhang Wanbang is indeed an excellent teacher, but his temper is a bit bad.

"I have listened carefully to Teacher Zhang's math class for almost two years, and I have been scolded and cried several times by him, but I still haven't made any progress." Chen Xiaoting sighed helplessly, very pitifully.

Shen Qi said straightforwardly: "All right, you can ask me if you don't understand anything about mathematics."

"Thank you! How do you solve this problem?" Chen Xiaoting struck while the iron was hot, and asked Shen Qi for a math problem.

Shen Qi took the question and looked at it, and was very surprised: "Fibonacci sequence, this question is so simple, you can do it wrong? I don't understand, how did you deduce this 25?"

Chen Xiaoting covered her face in shame: "Why do you have the same style as Teacher Zhang, I really don't know how to do it..."

Shen Qi: "I'm sorry Xiaoting, my tone is a bit harsh. Come on, let me tell you a routine. After mastering this routine, you can follow the routine for this type of question. Give me a piece of draft paper."

"Here!" Chen Xiaoting handed her notebook to Shen Qi.

Shen Qi opened Chen Xiaoting's notebook, and the pages were densely written in Junxiu's handwriting.

It can be seen that Chen Xiaoting is studying mathematics very hard, and she recorded all the knowledge points Zhang Wanbang taught in her notebook.

However, the subject of mathematics is not enough to rely on hard work, mediocre talent and lack of system. Even if Chen Xiaoting works very hard, her math scores still cannot improve.

"To make good use of the Fibonacci sequence, Xiaoting, you only need to remember that when n tends to infinity, the fractional part of the ratio of the latter term to the former term is infinitely close to 0.618, so you can follow the routine by dividing by 0.618. "Shen Qi wrote down a formula in Chen Xiaoting's notebook and explained.

The Fibonacci sequence summarizes the constant mathematical laws from the phenomenon of animal reproduction, which is recorded in the "Reading and Thinking" section of high school mathematics textbooks and described in smaller fonts.

Shen Qi studied the sequence of numbers when he taught himself advanced and counting. He thinks the Fibonacci sequence is a very interesting theory, which has many practical applications in real life: "Xiao Ting, have you read Wong Kar Wai's "In the Mood for Love" , Zhang Yimou's "Heroes", Liu Weiqiang's "Infernal Affairs"?"

"All I've seen are classic blockbusters. I've seen "In the Mood for Love" nine times, and I love Tony Leung." Chen Xiaoting, who likes literary films, wondered, didn't she teach me the routines of math problems? Why did I go astray to movies?

"These three are all great directors. These three films have won many awards. If you look carefully, the list of awards for "In the Mood for Love", "Heroes", and "Infernal Affairs" all include one award: the Best Cinematography Award. "

Chen Xiaoting: "So?"

Shen Qi said with a smile: "So I would like to thank a photographer named Du Kefeng. He is a foreigner. He is the photographer of the three films "In the Mood for Love", "Heroes", and "Infernal Affairs."

"When Du Kefeng filmed "In the Mood for Love", he divided the composition by 0.618. When Du Kefeng filmed "Hero", he divided the composition by 0.618. When Du Kefeng filmed "Infernal Affairs", he divided the composition by 0.618 .”

"We can complain about the plot of "Heroes", but we must admit that the painting style of "Heroes" is very perfect, giving people a beautiful and harmonious visual enjoyment, because Du Kefeng understands mathematics, and his frame design and scene scheduling are everywhere. Reflecting the golden spiral of the Fibonacci sequence of 0.618."

"That's why people who don't understand mathematics can't make blockbuster movies." Shen Qi made a final conclusion and asked again: "Xiaoting, can you do the sequence problem just now?"

"Yes, I understand!" Chen Xiaoting suddenly realized, she experienced the joy of learning: "Shen Qi, you are more interesting and vivid than Teacher Zhang. I didn't expect the great photographer Du Kefeng to be a math expert! Come on, I have a little more I need to ask you for a question."

Shen Qi hurriedly waved his hands: "Don't, don't, you can fully digest and absorb today's content before you talk. Xiaoting, don't be impatient and don't panic, freezing three feet is not a day's cold, we make an agreement, There is a limit of one question a day, and there is no end to learning, so little becomes more, and quantitative changes lead to qualitative changes." I am very busy, how can I have so much time to be your full-time math tutor?

"Is it okay to ask two questions a day?" Chen Xiaoting's desire for knowledge is very urgent.

"No, one question a day." Shen Qi shook his head firmly.

"Since you like watching movies, I'll give you a movie ticket and ask two questions a day, okay?" Chen Xiaoting secretly took out her phone and wanted to send a QR code to Shen Qi.

Shen Qi became unhappy: "Chen Xiaoting, can scientific knowledge be measured by money? Can mathematical skills be exchanged for movie tickets?"

"Yes... I'm sorry." Chen Xiaoting lowered her head in shame. Knowledge is priceless, science is sacred, and she is indeed superficial.

"Which theater ticket?" Shen Qi asked.

"Flying Studios, 3D-MAX."

"It's boring for me to watch alone. If you come with me, there's no need for you to invite me to the movies. Let's buy our own tickets, AA."

"But I don't have much time to watch movies with you, you know, we only have one day off a week in the second grade of high school, and I have to practice the piano..." Chen Xiaoting said hesitantly.

Shen Qi returned Chen Xiaoting's notebook to her: "Student Xiaoting, you really can't be impatient to improve your math performance, take your time, otherwise it will backfire."

"Then I'll see which day I ask the violin teacher for half a day off... I only have half a day at most."

"Let's not take this as an example, two questions a day, tell me, is there any math problem you don't understand?"