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

"It's awesome!" Qi Jianhong looked excited.

"It's okay, Brother Jianhong, it's not too awesome. Shen Qi smiled, this little brother has blindly worshiped me since the national presence, hey, so helpless, the burden on the big guy's shoulders is heavy.

Qi Jianhong explained: "Oh no, no, I mean I'm so good. ”

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

"The paper of the national decision, I actually got the question right, brother, do you say I'm awesome or not? My answer is the same as yours, it's all 2/2 root number 3, which means that I did it right. Qi Jianhong was very sassy.

"You're so annoying, go and go, put it aside and cool off. Shen Qi picked up Acta Mathematica Sinica again and continued his research.

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

"Do it casually, depending on the mood. ”

"Brother, steady!"

Later, several other team members returned to the dormitory one after another, and everyone communicated with each other, generally thinking that the national final exam paper was too difficult, and if they could do a question correctly, they should burn incense and worship the Buddha.

Mr. Tian did not give the team members a hard target, he heard that a team member in Zhedong Province, a strong province in the number of competitive provinces, fainted in the examination room, and finally couldn't insist on continuing to answer the questions, had to give up, crying sparsely, just woke up and cried and fainted, the Chinese Mathematical Society invited a psychological counselor to carry out psychological intervention on this player.

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

Shen Qi raised the mineral water bottle and said generously: "What Teacher Tian said is so good, come, cook this cup of chicken soup!"

"!"

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

All the team members lifted Coke, and the Sprite was drunk, and the momentum was like a rainbow.

"A group of stinky boys......" Mr. Tian laughed, he liked the atmosphere in the team, and it was like two teams a few days ago.

The stars move and the sky changes, the moon sets, the stars rise in the east.

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

Yesterday's 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.

It's a long-term battle that tests not only the mathematical prowess, but also the perseverance and mental endurance of the players, most of whom are under the legal age of majority.

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

The examination papers for the second half of the national duel have been sent to the hands of all players, and Shen Qi calmly took the exam.

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

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

Shen Qi outside the examination room was lively, once the pen was in his hand and the scroll was spread, he immediately entered the fighting state, come, fight!

In the first question of the second half of the national final, what is the root of P(x+iy)?

Shen Qi thought for a moment and replied.

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

In addition to the existence of complex numbers, which are circulating on paper and academic research, several other number systems are used by ordinary people every day.

Mathematics can be used to buy groceries, settle accounts, speculate on stocks, and manage money, or it can be used as the only language to communicate with God to spy on the vast universe.

Proof operations based on pure number systems are pure algebra, and although most mathematicians prefer geometry, algebra still has its important place.

What is the compound root of P(x+iy)?

Where it came from and where it's going.

The first college textbook that Shen Qi taught himself was Gao Dai, he liked Cauchy, and at the same time he also had a headache for Cauchy.

No matter which country publishes a ranking of the great mathematicians of history, Cauchy can definitely occupy a place, he is definitely a 15-level reference template, but the system is Gaussian.

The reason why Shen Qi likes Cauchy is because Cauchy single-handedly pushed algebra forward, and his contribution to algebra is unparalleled.

The first question of the second half of the national duel must use Cauchy's theorem.

Shen Qi quickly found the product of the difference between the two roots, and the algebraic language called the discriminant is a sharp blade, and the linear combination of polynomials and derivatives is vulnerable and crushed in front of it.

P(x+iy) is a cowardly coward, who hides behind the polynomial of x, and relies on the defense tower of "discriminant is not 0" to wear down Shen Qi's line.

"Hehe, you scum think I don't dare to cross the tower to kill people?hehe, you're too naïve, P(x+iy). ”

Shen Qi made a bold move, he used the shield "D'Alembert's Law" and Cauchy's theorem, forcibly rushed into the defense tower of "discriminant formula is not 0", and very wildly tore P(x+iy) into u(x,y)+iv(x,y), clean and neat, and retreated.

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

The first question of the second half of the national duel is broken.

If you are reasonable, you should not be forgiving, and you must not be soft-hearted in the math competition.

Algebra must be followed by geometry.

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

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

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

Shen Qi thought about it for an hour, and he could draw mussel lines, cut circle curves, and even vine lines, and each curve in the coordinate system represented a meaning and corresponded to an answer.

Shen Qi had to pass through the coordinate fog as soon as possible and capture the most beautiful and correct slender curve.

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

Shen Qi finally started writing, he encountered logρ=aθ, a curve like a conch and like a snail, she turned and turned, and finally passed the junction of the x-axis and the y-axis o.

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 through the origin and return to the original intention of simplicity and unpretentiousness.

"it!"

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

"Whew......" Shen Qi took a deep breath and took a break, a few months ago he didn't dare to imagine that he would have the opportunity to participate in the top high school mathematics competition in China and become one of the TOP60. Oh no, no, fainted and repelled one, and it was one of the TOP59.

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