The teachers of various subjects in the second year of high school completed the examination paper review and total score statistics overnight, which is an efficient team of teachers.

On Thursday morning, in the second (2) class of high school, each of the 48 students had a report card, which was also a ranking list.

The top row is composed of seven cells: Chinese, Mathematics, English, Physics, Chemistry, Biology, and Total Score.

The leftmost column pulls out 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, 88 in Chinese, 150 in Mathematics, 95 in English, 86 in Physics, 80 in Chemistry, 82 in Biology, with a total score of 581

The full score of language, mathematics and English is 150, and the full score of physics and chemistry is 100.

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

Relying on the contribution of mathematics, Shen Qi's total score ranking directly fell within the top 20 in the class, an improvement of 32 places from the last final exam.

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

"Physics and chemistry students also performed normally, with an average score of 80.7 points 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 the class in all subjects, Shen Qi silently carried out a simple mathematical analysis, and the 15th place in the class, you can go home and have an explanation.

It is worth noting that Huang Zikun once again won the first place in the class in the overall score, and was more than 50 points ahead of the second place Qian Huihui.

"If you want to pick Huang Zikun off the horse, it is not a top matter to get a full score in the mathematics, physics and chemistry exam, this guy has no weaknesses. ”

Once people make progress, their ambitions will grow rapidly, Shen Qi glanced at Huang Zikun in front of him, if he wants to beat this all-rounder, it is necessary to invest in language and English, and physics and chemistry must be promoted to level 2, with an investment budget of 5,200 points in five disciplines.

The system suddenly prompts: "Congratulations to the host for his new achievement: tied for the first place in the school in the math test!" ”

Shen Qi scored a perfect score of 150 in mathematics, which is the first in the class, and it must also be the first in the whole grade, the first in the whole grade is equivalent to the first in the whole school, and the tie for the first place shows that there are also people in other classes who have taken the math test of 150. Nangang No. 2 Middle School is a key middle school after all, and Shen Qi is not the only master of mathematics.

What puzzled Shen Qi was: "Last time I took the test, I got the first place in the class with 150 in mathematics, and the system rewarded me with 2,000 points for being a top student." This midterm exam is a big exam, I got the first place in the whole school, why did you reward me with 1,000 points?

System: "If the host fights a low-level monster as a high-level player, a part of the Xueba points must be deducted, and 1000 Xueba points can be understood as after-tax income." ”

"Nima, I can understand the decreasing experience of high-level players fighting low-level monsters, but your taxes are too heavy! If you don't pay taxes at level 2, this means that level 3 is a critical point, and you need to play some advanced copies in the field of mathematics in the future to get more Xueba points.

Chen Xiaoting, who was at the same table, had been paying attention to Shen Qi for a long time, and Shen Qi hadn't said a word since he got the report card, he must have been happy, right?

"Shen Qi is so good, you got a full score in mathematics again! And you surpassed me in the total score ranking, envy and jealousy!" Chen Xiaoting said enviously, she scored 106 points in mathematics this time, with a total score of 549, ranking 24th in the class.

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

"I said, you, good, good, bad!" Chen Xiaoting raised her voice.

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

Chen Xiaoting cautiously asked, "Shen Qi, there is a sentence I don't know whether to say or not?"

"You don't want to say a word about MMP to me, do you?" Shen Qi took a whale, I surpassed you in the total score ranking of this midterm exam, Chen Xiaoting, do you hold a grudge? If you are really a top student, 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 opening a small stove for you?" Chen Xiaoting showed deeper envy.

"So that's what you want to say. Shen Qi smiled, thinking too much and thinking too much, Chen Xiaoting is still very qualified.

"It can't be regarded as a simple small stove, and the main thing between me and Mr. Zhang is to discuss and communicate. Shen Qi knew that the daily routine between him and Zhang Wanbang could not be hidden from the other students in the class, and they were not stupid and blind, they all got along with each other day and night in the same classroom, and who could hide it.

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

"Xiaoting, you don't have to envy me, I just have better math scores, and the other homework is very average. The content of the communication between me and Mr. Zhang has nothing to do with high school mathematics, but is purely an amateur hobby. ”

"It's so mysterious, I really want to see what your communication is about. ”

Shen Qi 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 there's nothing mysterious about it. ”

Chen Xiaoting took the "Internal Reference 10" very sacredly, and the paper read:

"Trigonometric formulations for imaginary angles can be replaced by hyperbolic functions, and Euclidean geometry is no longer applicable here...... Extended literature "Discourse on Non-Euclidean Geometry" (J. Poljo edition) and "New Foundations of Geometry with Parallel Complete Theory" (Lobachevsky edition). ”

"The infinitely quadratic form is the treatment of the quadratic form itself with an infinite number of variables, which is a purely algebraic problem, and the higher algebra only talks about it in general terms and does not go deep...... Extended Literature: Principles of the General Theory of Linear Integral Equations (Hilbert Edition). ”

"Speaking of integrals, we have to mention Newton and Leibniz, and we can first study Newton's lecture notes when he served at the Royal Academy of Sciences: "Universal Arithmetic". ”

......

Chen Xiaoting found that she knew all the words on the paper, but she couldn't read them: "As a mathematical scumbag, I can really only look at it...... Among so many foreign names, I know a Newton, and I knew it through Newton's three laws in physics class. ”

"As I said, it's not about high school math. ”

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

"Mr. Zhang's lecture is very good, he is an excellent teacher in the city, you just listen to his lectures carefully. Shen Qi said sincerely that in his mind, Zhang Wanbang is indeed an excellent teacher, but his temper is a little stinky.

"I have been listening carefully to Mr. Zhang's math class for almost two years, and I have been scolded and cried by him several times, but I still haven't improved. Chen Xiaoting sighed helplessly, pitiful.

Shen Qi said briskly: "Okay, if you don't understand anything about mathematics, you can ask me." ”

"Thank you! How can this problem be solved?" Chen Xiaoting struck while the iron was hot and took out a math problem to ask Shen Qi.

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

Chen Xiaoting covered her face ashamedly: "How can you have the same style as Teacher Zhang, I really can't do ......"

Shen Qi: "I'm sorry, Xiaoting, my tone is a little heavier, come, I'll tell you a routine, after mastering this routine, you can follow the routine for this type of question, give me a scratch paper." ”

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

Shen Qi opened Chen Xiaoting's notebook, and Junxiu's font was densely written all over the pages.

It can be seen that Chen Xiaoting is studying hard in mathematics, and she did not omit the knowledge points taught by Zhang Wanbang in her notebook.

However, the subject of mathematics is not enough to rely on diligence and hard work, and her talent is mediocre and unsystematic, even if Chen Xiaoting works very hard, her mathematics scores still can't go up.

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

The Fibonacci sequence, which summarizes the constant mathematical laws of animal reproduction, is recorded in the "Reading and Thinking" section of the high school mathematics textbook and is described in a smaller font.

Shen Qi studied the number series when he was teaching himself high generations and counting points, and he felt that the Fibonacci number series was a very interesting theory, and there were many practical applications in real life: "Xiaoting, have you seen Wong Kar-wai's "In the Mood for Love", Zhang Yimou's "Hero", and Liu Weiqiang's "Infernal Affairs"?"

"I've watched all classic blockbusters, I've watched "In the Mood for Love" nine times, and I love Tony Leung very much. Chen Xiaoting, who likes literary films, wondered, didn't she teach me the routine of math problems, how did she deviate from the movie?

"These three are all great directors, these three films have won many awards, if you look closely, the list of winners of "In the Mood for Love", "Heroes", and "Infernal Affairs" all contain one award: Best Cinematography. ”

Chen Xiaoting: "So?"

Shen Qi said with a smile: "So this is thanks to a photographer named Christopher Doyle, he is a foreigner, and the photographers of the three films "In the Mood for Love", "Hero" and "Infernal Affairs" are all him. ”

"When Christopher Doyle was filming In the Mood for Love, he divided by 0.618 in the composition. When Christopher Doyle was filming "Hero", he divided by 0.618 in the composition. When Christopher Doyle was filming Infernal Affairs, he divided by 0.618 in the composition. ”

"We can complain about the plot of "Hero", but we must admit that the painting style of "Hero" is very perfect, giving people a beautiful and harmonious visual enjoyment, because Christopher Doyle understands mathematics, and his frame design and scene scheduling everywhere reflect the golden spiral of 0.618 Fibonacci numbers. ”

"So people who don't know math can't make blockbusters. Shen Qi made a final summary and asked, "Xiaoting, will you do the problem of the number series 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 still have a dozen questions to ask you." ”

Shen Qi hurriedly waved his hand: "Don't, don't, you can completely digest and absorb today's content first." Xiaoting, don't be anxious, don't panic, freezing three feet is not a day's cold, let's make an agreement between the two of us, one question a day, learn endlessly, and quantitative changes lead to qualitative changes. "I'm very busy, how can I have so much time to be your full-time math tutor?

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

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

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

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

"Right...... I'm sorry. Chen Xiaoting lowered her head in shame, knowledge is priceless, science is sacred, and she is indeed shallow.

"Which theater has the ticket?" asked Shen Qi.

"Flyer Studios, 3D-MAX. ”

"It's not interesting for me to watch alone, you come with me, and I don't have to let you invite me to watch a movie, let's both AA and buy our own tickets. ”

"But I don't have much time to watch movies with you, you know, our sophomore year only has one day off a week, and I still have to practice ......the piano," Chen Xiaoting said.

Shen Qi returned Chen Xiaoting's notebook to her: "Xiaoting, you really can't be in a hurry to improve your math scores, take your time, otherwise pulling out the seedlings will be counterproductive." ”

"Then I'll take a half-day off from my violin teacher one day...... I only have half a day at most. ”

"Don't take it as an example, two questions a day, let's say, what other math problems don't you understand?"