I really just want to be a scholar

Chapter 14 Don't get used to him too much

This male student with natural curly hair and handsome appearance is the same as the comprehensive question just now. He only read the question once and started to write the steps to solve the question. It seems that he didn't need to think at all. There is an idea of ​​​​understanding the question at the moment of the question.

However, in just 2 minutes, he had completed the first additional question and continued to write the answer to the second question.

Xu Shichao was completely petrified, and he couldn't think of any other exclamations besides "fuck".

Who the hell is this boy?This can no longer be called a "student master", but a "student god"?Is there such a strong math god in the second year of high school?

Xu Shichao asked himself that he knew all the top math students in the school. He also helped lead the team and assumed the responsibility of life security in last year's Math Olympiad preliminary competition, but this boy obviously never participated in the previous year's Math Olympiad preliminary competition!

Just when Xu Shichao was stunned, he suddenly felt someone pat him on the shoulder. He looked back, and it turned out that it was his senior, Old Zheng.

Lao Zheng made a gesture of silence, and then stood behind the boy with him, watching the boy answer the question.

The boy was already looking at the third problem that even Xu Shichao didn't have the confidence to solve it.

“求证：数列an=3^n cos(narccos1/3)(n=1，2…)的每一项都是整数，但都不是3的倍数。”

This time the male student finally stopped for two seconds, and then, under the watchful eyes of the two teachers, wrote down "Proof Method [-]".

Xu Shichao gasped on the spot. Did this guy think of two proof methods in the two seconds of thinking just now?

"Proof method 1: Let θ=arccos3/1, then cosθ=3/3, and an=[-]^n cosnθ,

（1）当n=1，2时，a1=3cosθ=1，a2=3^2 cos2θ=9(2cos^2θ-1)=9*(-7/9)=-7
Both 1 and -7 are integers and not multiples of 3, the proposition is provable.

(2) Assuming that a(k-1) and ak are both integers and not multiples of 3, it can be obtained from the trigonometric formula (Note: k-1 is the subscript):

a(k+1)=3^(k+1)cos(k+1)θ=3^(k+1)[2cosθcoskθ-cos(k-1)θ]=2ak-9a(k-1)
……

It can be known by mathematical induction that the proposition holds for all positive integers. "

“证明方法二：设θ=arccos1/3，则cosθ=1/3，sinθ=2*2^(1/2)/3，

引入复数z=3(cosθ+isinθ)=1+2*2^(1/2)i
则an是复数z^n=[1+2*2^(1/2)i]^n的实部……”

Watching the male student write down the two methods of proof with ease, he flipped through the paper and checked it almost at a speed of ten lines at a glance. Yawning started to sleep.

Good guy, this student's draft paper is actually blank!
Xu Shichao has taken math exams countless times since he was a child, and he has never had a blank draft paper!
Xu Shichao couldn't help but secretly lifted the draft paper, and glanced at the column of name and class on the test paper.

Qin Ke, Class [-] and [-] of Senior High School.

I don't have any impression... Is there such a person among the top math students in the second year of high school?
Xu Shichao was struggling to recall, when Lao Zheng suddenly made a gesture towards the student next to the window, signaling that student to pull down the curtain.

The student didn't know why, but he did it obediently.

Xu Shichao noticed, however, that the sunlight from the window was shining on the boy named Qin Ke just now. Old Zheng was afraid that it would affect his sleep...

Xu Shichao opened his mouth to say something, but found he couldn't utter a word. Lao Zheng dragged him to the door, took out a cigarette and drank it—of course he didn't light it, it was just a cigarette addiction to satisfy his hunger.

Xu Shichao asked in a low voice: "Group Leader Zheng, this is... is this your student?"

"Well, what's the matter, isn't your level passable?" Old Zheng looked calm, but his arrogant and trembling toes clearly revealed his comfortable mood.

"Uh... I can only think of one word... AWESOME."

Old Zheng patted Xu Shichao on the shoulder: "Calm down, he's just a mere genius, nothing more, besides, he hasn't won the No.1 in the city-level Mathematical Olympiad yet, so we can't get too used to him."

After finishing speaking, Lao Zheng, with a cigarette in his mouth, flicked the hem of his clothes, and went to inspect the examination room Shi Shiran.

Countless mud horses ran past Xu Shichao's heart, Lao Zheng, can you be more aggressive?While talking about nothing, at the same time, you actually booked the No.1 city-level Mathematical Olympiad for your students early!

Xu Shichao also walked back to the examination room. Seeing other students still answering the questions with frowning faces, he couldn't help sighing, why is there such a big gap between people?

It seems that this math test is destined to be a personal feast.

……

Qin Ke is in a good mood. The math test paper is simpler than expected. Although the scores of the three additional questions will not be included in the total score, they will be included in the ranking of individual subjects. If there is no accident, 1000 yuan will be in hand.

And sleeping during the mid-term exam, the learning experience is three times that of the usual class. Qin Ke only spent about 20 minutes doing the paper, and spent the rest of the 130 minutes sleeping. He unexpectedly got 390 points of learning experience Value, what a cool word?
The evening self-study in the evening was still held in the original classroom. Qin Ke routinely finished playing basketball with Li Xiong and Ge Zhixing, took a shower and had dinner, and then returned to the classroom with a few boys shoulder to shoulder.

During the meal in the canteen, the following dialogue also took place.

No. [-] student Li Xiong: "What do you think of the math test this afternoon? I don't think it's any different from usual. Why do you think some people are crying?"

No. [-] student Ge Zhixing: "I'm also surprised. Anyway, I'm the same as before. I don't know anything. I chose C for the multiple-choice questions. I can always get a few points right?"

Xuesu Wang Lixin frowned: "It's much more difficult than before. I'm not sure about many of the questions, so I filled them in randomly. I saw a student next to me. He greeted the family of the teacher who gave the test directly on the test paper."

Wu Zhu, a quasi-scholar and always honest, was stunned: "Isn't it good to do this? The questions this time are really difficult, and I haven't finished the big questions later, but it's too disrespectful to scribble on the paper like this." I know, as a student, it's really inappropriate to do this..."

Qin Ke didn't get involved in such a topic, he just smiled.

Li Xiong noticed his expression and asked, "Brother Ke, did you hand in a blank paper this time?"

"No, I promised Teacher Wei, so I filled all the test papers."

Ge Zhixing thought he understood and patted Qin Ke on the shoulder: "It's hard work, but bowing your head properly is for a better life. I also filled it up. I copied the answers to the following questions and comprehensive questions. , I hope the teacher will give me one or two points of consolation based on my attitude of hard copying the questions."

At this time, they had already reached the classroom, and Li Xiong and others did not dare to approach Ning Qingyun, so they separated from Qin Ke.

When Qin Ke returned to his seat, Ning Qingyun was already doing the questions silently.

Evening self-study actually does not need to wear school uniforms, but Ning Qingyun is still wearing blue and white school uniforms, her hair is simply tied into a single ponytail with black ribbons, the ponytail is tied a bit high, exuding a cold and proud atmosphere .

(End of this chapter)