I Just Want to Be a Quiet Top Student

"The answer to the last question, I also wrote the root of 2 and 3." Shen Qi said.

"That's awesome!" Qi Jianhong said excitedly.

"It's okay, brother Jianhong, he's not too awesome." Shen Qi smiled, this little brother has blindly worshiped me since the National Preparatory Committee, hey, I'm so helpless, the burden on the boss's shoulders is heavy.

Qi Jianhong explained: "Oh no, I mean I'm awesome."

Shen Qi was embarrassed: "What are you so awesome about?"

"I actually got one question right on the paper for the National Judgment. Brother, do you think I'm awesome? My answer is the same as yours. It's the root of 2 and 3, which means I got it right." Qi Jianhong stood up. show off.

"You are so annoying, go and go, put it aside and cool off." Shen Qi picked up "Mathematics Herald" again and continued to study.

Qi Jianhong asked again: "You should have done all the three questions correctly in the first half of the national finals, right?"

"Do whatever you want, depending on your mood."

"Brother, be steady!"

Afterwards, several other team members returned to the dormitory one after another. Everyone communicated with each other and generally believed that the national final exam paper was too difficult, and if they could get one question right, they should burn incense and worship Buddha.

Mr. Tian did not give the team members hard targets. He heard that a team member from Zhejiang Province, a strong province in mathematics competition, passed out in the examination room. After crying and fainting, the Chinese Mathematical Society invited a psychological counselor to intervene the contestant.

At least the psychological quality of these team members in our province is qualified, not the so-called glass heart. Teacher Tian is very pleased. He said to the team members: "This trip to the capital is coming to an end, and there are three last questions left tomorrow. I hope you will gain something from the beginning to the end, and not leave any regrets for your youth. No matter how good you are in mathematics, it may not make you rich, but you must remember that the only language to communicate with God is mathematics.”

Shen Qi raised the mineral water bottle and made a generous speech: "Teacher Tian is very good, come on, make this cup of chicken soup!"

"Dry!"

"Dry! This chicken soup is a pure natural green product, non-toxic!"

All the team members drank the Coke with the Coke, and the Sprite with the Sprite. They all drank it down like a rainbow.

"A bunch of brats..." Teacher Tian couldn't help but laugh, he liked the atmosphere in the team, it was a different team from a few days ago.

As the stars move and the sky changes, the moon sets, the stars rise, and the sun rises in the east.

Time flies so fast, and it's the next day in a blink of an eye.

As mentioned above, the national finals are divided into two halves. Yesterday, 4.5 hours to answer three questions was the first half, and today’s second half is also 4.5 hours to answer the remaining three questions.

This is a protracted battle that not only tests the mathematical strength of the players, but also their perseverance and psychological endurance, and most of these players are under the legal age of majority.

It's almost over, and the results are about to be revealed.

The exam papers for the second half of the national finals had been distributed to the contestants, and Shen Qi took the exam calmly.

The examination papers for the first half of the national finals were all sealed yesterday, and will be unsealed in 4.5 hours, and will be reviewed together with the second half examination papers, a total of 6 questions.

Shen Qi is confident that he can get high scores in the three questions yesterday, but the battle is not over yet, he must fight to the end, and there is no room for sloppy.

Shen Qi outside the examination room is lively by nature. Once the pen is in his hand and the roll is rolled out, he immediately enters a fighting state. Come on, let's fight!

The first question in the second half of the National Finals, what is the complex root of P(x+iy)?

Shen Qi thought for a while and drew up a pen to answer.

Integers, fractions, irrational numbers, negative numbers and complex numbers, the world of the number system is very simple, but the world of the number system is very complicated.

In addition to complex numbers, which circulate on paper and in academic research, several other number systems are used by ordinary people every day. Mathematics seems to be ethereal and profound, but it is actually the most widely used basic subject in the social market.

Mathematics can be used to buy vegetables, calculate accounts, invest in stocks and manage money, and it can also be used as the only language to communicate with God and spy on the vast universe. It is high above, and it is all over the market.

The proof operation based on the pure number system is pure algebra. Although most mathematicians prefer geometry, algebra still has its important position.

What are the complex roots of P(x+iy)?

Where did it come from and where is it going.

The first college textbook Shen Qi taught himself was Gao Dai. He liked Cauchy, but he also had a headache for him.

No matter which country publishes the ranking list of great mathematicians in history, Cauchy can definitely occupy a place. He is definitely a reference template of level 15, but the system sampling is Gauss.

The reason why Shen Qi likes Cauchy is that Cauchy has promoted the development of algebra by himself, and his contribution to algebra is unparalleled.

For the first question in the second half of the national finals, Cauchy's theorem must be used.

Shen Qi quickly found the product of the difference between two roots. The algebraic language is called the discriminant. It is a sharp knife. The linear combination of polynomials and derivatives is vulnerable to it and cannot be defeated.

P(x+iy) is a timid coward, it hides behind the polynomial of x and can't get out, relying on the defense tower of "the discriminant is not 0" to kill Shen Qi's troops.

"Hehe, you scumbag think I dare not jump over the tower to kill people? Hehe, you are so naive, P(x+iy)."

Shen Qi made a bold move. With the shield "D'Alembert's law" and Cauchy's theorem, he forcibly rushed under the defense tower where the "discriminant formula is not 0", and tore P(x+iy) apart very wildly. It is u(x, y)+iv(x, y), clean and tidy, and get out of the body.

Under Shen Qi's powerful attack, P(x+iy) instantly lost its resistance, and it honestly handed over its own chrysanthemum: a+bi.

The first question in the second half of the national finals, break it.

If you are justified, you should be unforgiving, and you must not be soft-hearted in the field of numbers.

After algebra there must be geometry.

The second question is analytic geometry, which is similar to yesterday's question order.

Plane analytic geometry in high school is the basic part of coordinate geometry. The patterns in the coordinate system look like ripples and butterflies. Symmetry has symmetry and harmony, and asymmetry has asymmetrical rhythmic beauty.

The simpler the girl looks, the more difficult it is to get her to conquer her, because the conditions she gives are harsh.

Shen Qi pondered here for an entire hour. He could draw clam lines, circular curves and even vine leaf lines. Each curve in the coordinate system represents a meaning and corresponds to an answer.

Shen Qi must go through the fog of coordinates as soon as possible to capture the most beautiful and correct curve.

"Yes, that's right, a logarithmic spiral."

Shen Qi finally started to write. He encountered logρ=aθ, a curve like a conch and a snail. She turned and turned, round and round, and finally passed the intersection point o of the x-axis and the y-axis.

There are thousands of beautiful skins, and there is only one final destination. The beautiful girls in the coordinate system—curves, no matter how harsh they are, they will eventually pass the origin and return to the original heart of simplicity.

"Fix it!"

Two and a half hours passed, and Shen Qi completed the answers to the first two questions of the second half of the national final. Counting yesterday's three questions, he completed a total of five questions.

"Huh..." Shen Qi took a deep breath and took a short rest. A few months ago, he could not have imagined that he would have the opportunity to participate in the top math competition for high school students in China and become one of the top 60. Oh no no, one of them fainted and retired from the game, one of the TOP59.

At this moment, only one small step away, Shen Qi may touch his first gold medal in life, a national-level mathematics gold medal.