Chapter 225 A group of old foxes! (Four more)

Xu Cong heard that they started boasting again, and said with some embarrassment: “Uh…this is not all approved by your vote!”

With the concerted efforts of everyone, in the end, the question of the preliminary round ended perfectly.

Zhu Tiesen and other professors finally sealed up the sample volume of the preliminary contest and handed it to the official staff of the Olympiad.

“The preliminary test paper is done! Everyone, come on!”

“The questions of the test papers for the semi-finals and finals are not enough!!!”


Everyone continued to work hard, continue to fill in the test papers, and have extremely high expectations for this competition.

As the questions continue, they will encounter more and more difficulties.

The questions presented are also different from the actual Mathematical Mathematical questions in previous years, but also different from the question types of the preliminary contest.

They are racking their brains, because these teachers must ensure that the questions are not repeated, and at the same time find novel question types with good quality and quantity.

Xu Cong was relaxed. Several professors such as Zhu Tiesen told Xu Cong that he could let go of the question. Because the semi-finals and finals were more difficult, Xu Cong began to let himself go.

But they couldn’t bear the consequences, because all the professors were dumbfounded after reading the questions from Xu Cong.

“Is this tm really a question from a high school student?”

“I…I…I don’t seem to know…”

“This is too difficult!”

“Student Xu Cong, get your magical powers soon!”

“You have a super outline on this topic!”

These teachers said to Xu Cong rigorously for the first time. Of course, several teachers said that they were a bit stern, because they all found it very difficult to do it, and they might not even be able to give the answer…

Xu Cong was a little silly when he heard that they came to boycott him collectively.

“Super-class? Professor Zhu, there are also super-classes in Mathematical Olympiad?” Xu Cong looked at Lao Zhu and asked.

Zhu Tiesen also had a black line at this time, and said to him embarrassingly: “Should we have a degree anyway? Which classmate can do these questions for you?”

“Even if you use your questions, these candidates are even lightly crying! Serious ones are likely to be depressed!”

“Student Xu Cong, you have to think twice!”

“We don’t want to compare between 0 points and a few points in the finals!”

“Isn’t this the taller one among the dwarfs?”

In the end, several of Xu Cong’s questions were rejected on the grounds of “too difficult”.



Xu Cong suddenly became speechless, looking at these professors, there was a little bit of resentment in his eyes.

Zhu Tiesen also felt that it was a bit wrong to dismiss Xu Cong’s questions all at once. After thinking about it, he still wanted to apologize to Xu Cong.

So he walked over to comfort Xu Cong and said, “Don’t be sad, don’t blame me for being sad! If it weren’t for me to tell you, let go, you wouldn’t be like this…”

Xu Cong waved his hand, and said in a very unfriendly tone: “Forget it, you can come out, I’ll just check it out!”

When Zhu Tiesen heard him say this, he was shocked, his mind quickly turned, and said to him: “Why don’t you do this! Let’s ask questions, you try to give some ideas for solving your own problems, how about?”

“Suitable, we will use yours!”

“In this way, you won’t be bored!”

“Everyone, what do you think of my proposal?”

At the end, he also pulled in the teachers next to him, and it was too stressful to talk to Xu Cong.

Everyone also felt that this proposal was very good, and they all agreed.

“Yes! Student Xu Cong, don’t refuse!”

“I agree!”

“Agree!”

“Nothing wrong!”

When Xu Cong saw them taking it seriously, his face was black. You guys, you guys are clearly trying to find out about me!

After seeing his opinion accepted, Zhu Tiesen smiled and said to him: “Please also Xu Cong student not to refuse!”

Xu Cong looked at his smile and greeted the old fox truthfully, but he still pretended to be speechless: “Uh…”

Zhu Tiesen directly mobilized: “Come, come on, let’s get the topic!”

A professor enthusiastically ran to the blackboard and said to the following: “I’m coming! I’m coming first!”

You are a professor, please be more stable, OK!

Xu Cong was dumbfounded, and begged him in his heart.

topic:

{Zn}(n≥1) is a complex number sequence, the odd items are real numbers, the even items are pure imaginary numbers, and k∈N⁺, lZᴷZ(k+1)|=2ᴷ, denote f(n)=|Z₁+Z₂+ +Znl

(1) Find the smallest possible value of f (2020)

(2) Find the smallest possible value of f(2020)×f(2021)

There are not many words in the title, so it looks like that, but when you do it, it’s different.

The math problem is so attractive, I will give you a few lines, which contains countless knowledge points, and you will explode in the test.

The first reaction of everyone was not to see the professor giving ideas, but to look at Xu Cong.

When Xu Cong saw them looking at him again, he said silently, “Uh…Don’t look at me! Look at the answering process of other professors! Don’t stop.”

But at this time, even the professor said: “Don’t give me face, come! Student Xu Cong, please!”

Xu Cong feels bitter in his heart, but he can’t tell. A group of watching things, Damn it!

In fact, this question is not very difficult for Xu Cong. If he does it, he will be able to do it soon.

Anyway, it’s hard to ride a tiger, so please say it!

Xu Cong gritted his teeth and entered their trap.

He got up, took a look at the question, and after simple thinking, after going through the process in his head, Xu Cong said to everyone: “Suppose an=z(2n-1), bn=(z(2n)i(n= 1, 2,)…”

“So in the end f(2020)=……” (Is there anyone who is reading a book to give an answer!)

“Second question, let… So the minimum value of the two multiplications is 2 to the power of 1011.”

After thinking about it in his head, Xu Cong spoke quickly when he talked about the topic!

And he didn’t use it at all, he just said it step by step from his mouth!

It’s the square under the root sign, all kinds of absolute values, and what Cauchy’s inequality is… Wait for a lot of calculations.

But in Xu Cong’s dictation, there was no error, and it was said. Next to him, a teacher was recording what Xu Cong said. He was a little bit unable to keep up, and was afraid that he would forget it.

“Reluctantly jot it down! He said too fast! I almost didn’t keep up.” He breathed a long sigh of relief and said to the teacher next to him.

“Not at all stuck! I’m out of cold sweat!”

Then he lifted his performance paper and handed it in front of everyone. Everyone looked at it and fell silent for a while.

Seeing that they were silent again, Xu Cong felt a little flustered, and said, “What’s wrong with you???”

“Everyone, I think you also thought of this problem-solving idea?”

“You should be more familiar than me! After all, this question is similar in international CMO.”

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