Dong Dong!

Cheng Nuo knocked on the blackboard heavily and looked at the people in the mathematics department under the platform with a smile, "we continue to talk."

"If both a and A-1 are unit roots, let B be a complex conjugate of a, with ab = | a | 2 = 1, (A-1) (B-1) = | A-1 | = 1."

"A = (1 ± √ 3I) 2 can be obtained, α = (1 + √ 3I) 2, β = (1 - √ 3I) 2."

"If A-1 = 0, then a = 1."

"So the roots of F (x) can only be 0, 1, α, β, and the roots of F (x + 1) can only be - 1, 0, α - 1, β - 1..."

The formulas are written on the blackboard by Cheng Nuo.

Shua Shua Shua!

Line after line of closely related mathematical formulas, for the students of Tsinghua mathematics department, although not a heavenly book. But it takes time to understand.

But Cheng Nuo did not give people time to understand.

In people's eyes, Cheng Nuo is like writing the calculation steps in his mind.

Without any pause, without any hesitation, Cheng Nuo wrote on the blackboard with a Shua Shua, while his mouth was like a barrage of explanation.

It is not like a freshman at all. It is more like an old teacher immersed in education for many years.

Soon, the whole four blackboards were filled with two by Cheng Nuo.

However, the problem is still unsolved.

"Let f (x) = C · x ^ m · (x-1) ^ n, with F (x ^) = C · (x ^) ^ m · (x-1) ^ n = C · x ^ (2m) · (x-1) ^ n · (x + 1) ^ n, f (x + 1) = C · (x + 1) ^ m · x ^ n."

"Substituting into the equation, C · x ^ (2m) · (x-1) ^ n · (x + 1) ^ n = C · x ^ (M + n) · (x-1) ^ n · (x + 1) ^ M. If C ≠ 0, the equality holds if and only if M = n, C = 1. So f (x) = x ^ m · (x-1) ^ M

Finally, Cheng wrote the results on the blackboard.

"Therefore, only 0, 1 and x ^ m · (x-1) ^ m!" are the polynomials satisfying the conditions

We're done. We're done!

After finishing the last stroke, Cheng Nuo confidently smiles, leaving only the chalk on the desk.

The audience is silent!

Pa Pa Pa ~ ~!

Standing on the side of the platform, Liao Zhixing looks at Cheng Nuo with satisfied and appreciative eyes and claps gently.

Pa Pa Pa ~ ~!

The mathematics students in the class clapped at the sight of Liao Zhixing, and they all clapped with their hands. Except for one, of course.

The applause went on for a long time before it stopped.

"Teacher, this is my own problem-solving steps, do not know whether it is correct, but also ask the teacher for advice." Cheng Nuo's tone is very sincere.

Liao Zhixing said with a smile, "right! absolutely right! This is a perfect solution to the problem! I can't find any mistakes

"Come on, let's clap for this classmate's performance again!"

If the teacher says something, you can't follow it!

As a result, the classroom broke out clapping again.

Cheng Nuo stood on the platform, a helpless, flattered look, he repeatedly waved his hands, "no, no, stop. You don't have to stop... "

Cheng Nuo is positive facial expression, "I this just solved a problem that can't be simpler any more, it's not to be proud of."

"I believe that the students here must have worked out this problem earlier than me, but I'm sorry to raise my hand."

Cheng Nuo said painstakingly, "however, I still hope that all of you here can be more positive. Don't fiddle, like a flower girl. Since you have come to Tsinghua, you should not be lazy! Studying hard is the right way! If we don't even have the courage to speak on stage, how can we become a useful pillar of society? "

With that, Cheng Nuo sighed.

The whole class heard eight words from Cheng Nuo's sigh.

Mourn for its misfortune and be angry with it!

The whole class: --

Think you don't want to raise your hand?

Kurt We really haven't figured it out!

Besides, you are not our classmate! Where did the bystander mentality come from!

On the other side, after listening to Cheng Nuo's impassioned remarks, Liao Zhixing's favorable degree to Cheng Nuo is slowly rising.

In this world, such good students as Cheng Nuo are not rare!

The idea that he wanted to focus on cultivating Cheng Nuo was just like blossoming and sprouting, which lingered in Liao Zhixing's mind.

Three steps into two steps, Liao walked in front of Cheng Nuo and patted Cheng Nuo heavily on the shoulder. "This classmate, well said!"Cheng Nuo smiles, "no, it's the teacher, you teach well!"

"Ha ha!" Liao Zhixing laughed and nodded with great relief, "you boy, you've learned to flatter!"

"This year's math department can give you such a boy, good, good!"

"By the way, what's your name? I'll make a note of it. I'll find you in the future."

At the same time, Liao Zhixing has a research project in his hand, and there is still a lack of one person.

Cheng Nuo bar, although only a freshman. But Liao's trip has read countless people's eyes, this son, the future is unlimited.

It's better to put Cheng Nuo in the research group and exercise. As for how much experience can be accumulated, it is entirely up to Cheng Nuo himself.

However, Liao Zhixing remembered that he didn't know the name of the student in front of him.

Here we are, at last! Cheng Nuo is most afraid of this, he hesitated to say, "teacher, my name is Cheng Nuo."

"Cheng Nuo?" I don't know why. Hearing the name, Liao Zhixing has an inexplicable sense of familiarity.

However, under the platform, when Cheng Nuo announced his name, the following has become a pot of porridge.

Cheng Nuo!

This name is an indelible shadow for the students of the college entrance examination in 2020, especially the school bully.

With a high score of 730, he won the top prize in the science college entrance examination in 2020, which made them unable to resist any idea.

Cheng Nuo's name will not be forgotten even when they are 70 years old and 80 years old.

However, they heard that Cheng Nuo entered the Mathematics Department of the school of economics and management. I thought there would be no intersection in this life.

But why Will it show up here? It appears in the class of advanced substitute class. He also gave a math problem to our math department students.

On the platform, Liao Zhixing, who always thought Cheng Nuo was very familiar with the name, opened his briefcase, picked up the roster, and was ready to look for Cheng Nuo's name.

Next to him, Cheng Nuo saw the action of Liao Zhixing, and knew that it was almost impossible to hide it.

Turn yourself in. At least you can win leniency!

Cheng Nuo, with a dry smile, began tentatively, "teacher, if I said, I am not a student of mathematics department, what would you do?"

All of a sudden, he is looking through the roster and remembers his trip.

No wonder the name Cheng Nuo is so familiar!

As he is a teacher of Tsinghua University of mathematics, he is very concerned about the mathematics of college entrance examination every year.

He remembers, this year's college entrance examination, only one person got full marks, that person's name is Cheng Nuo, at the same time, this year's science college entrance examination champion!

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