Metropolis: My IQ is 300

Chapter 157

Chapter: If you can pass the exam, I will lose (for subscription, second update)

In the examination room, the candidates did a good job, and the teacher in charge was not known by Chen Fan, but a man named Huang Shan.

The man took the papers and looked at the students in the audience and said: "This time, only six people will be selected. I think you all know that six people represent our country to participate in the International Mathematical Olympiad. This time it is training in advance. It takes a lot of time to study, but the first one, let’s get these six places first."

Everyone nodded one after another.

"As for your plagiarism or something, I don't think you will either. They are all mathematics geniuses. That pride will not allow you to plagiarize."

Everyone laughed, alleviating the embarrassment.

"Okay, now prepare the papers for you. There is no time limit, unless you are not hungry, and you are willing to hand in the papers at any time."

After starting to write papers, Chen Fan and Chen Baiming took a look at them, and then went out with Teacher Huang Shan.

"Chen Fan, thank you for coming this time."

"why?"

"Because you are their idol, and many people are here for you, hoping to achieve the same achievement as you."

"This...what to say, let me be honest, it's a bit difficult."

Hahaha.

Huang Shan said: "This is certain, but young people have a good dream. Would you like to take a look and see if those children are talented?"

"I don't think it's so good."

Tao Yaoyao's advice is not to be like this.

"why?"

"Chen Fan will not hide his emotions and worry that those children will not be able to stand the blow."

This is very embarrassing.

Huang Shan thought for a while and said, "It's okay. It's their own business that they can't stand the shock. They will face a lot of problems in the future. They can't stand the shock now, and then they can't do anything..."

Now that it is finalized, the rest is left to Chen Fan.

Walking into the room, Chen Fan followed the aisle and looked inside.

Skip one by one.

Check the questions on the paper.

"Five classmates A, B, C, D, and E participated in the competition, and a guess said that the ranking of the result of the competition was still ABCDE. But in fact, no classmate’s ranking was guessed, and the students with adjacent rankings in the prediction were also They are not really adjacent (for example, the rankings of the two classmates of C and D are not (1,2), (2,3), (3,4), (4,5)). There is another guess It is said that the result will be in the order of DAECB. In fact, there are exactly two students who got the same ranking as predicted; and there are two pairs of students (4 different students) whose rankings are connected as predicted. Try to discuss the final What's the ranking."

Simple mathematical probability question, this question, no one will not know it.

Then I took a look, good guy, really can't.

This question is not difficult. Probability, making icons, and then filtering data is troublesome at best. It seems that the knowledge points used are indeed high school.

This kid is really bad.

Chen Fan touched his forehead, this group of people, there is really no one who can fight.

Everyone actually has the ability to observe words and colors. Looking at Chen Fan's expression, he probably guessed something, but it's a bit difficult to accept it.

Am I really that good?

In front of the big guys, is it really incomparable?

"If you say that you met Chen Fan invigilating the exam, remember, no matter what Chen Fan's expression is, don't be afraid, because in Chen Fan's eyes, you are all very good."

This is what the teacher gave to me when I was leaving.

Chen Fan came to a girl who dressed very plainly, with a blush on her face, flushed, just like the people in the city said, a smell of earth?

The girl wrote the algorithm very seriously. Chen Fan frowned and watched it for a long time.

This method is really stupid, but it's all right.

Because it is stupid enough, but right enough, this is what surprised Chen Fan.

The lengths of the three sides of the triangle ABC are a, b, and c. Draw a tangent to the inscribed circle of the triangle ABC parallel to each side of ABC, and each tangent line cuts out a small triangle in ABC, and then make an inscribed circle in each such small triangle to find the four inscribed circles The sum of the area of ​​the circle (indicated by a, b, c).

4. Seventeen people communicate with each other, and everyone writes letters with others. There are three different topics discussed in their letter. Every two people discuss only one topic. Please verify that at least three of these people are discussing the same topic.

5. There are five points on the plane, and the line of any two points is neither parallel nor perpendicular. Now draw a vertical line from each point to the other four points in twos, and try to find the intersection of all these vertical lines. The maximum number of.

6. The center of the tetrahedron ABCD is D0. Make parallel lines of DD0 through A, B, and C respectively. These lines intersect planes BCD, CAD, and ABD at points A0, B0, and C0 respectively. Prove that the volume of ABCD is three of A0B0C0D0. One part; ask if D0 is any point in triangle ABC, whether the result still holds.

The four questions are almost all finished in a blunt way.

Chen Fan stood for an hour, until the girl finished writing this and turned the page, Chen Fan started to move in his own footsteps.

Turn the page, new questions, look at the questions, and then start to answer.

Yes, just see the question and start to solve it without any hesitation.

Chen Fan happily pointed at this (good) girl.

Huang Shan clutched his head, f*ck, this guy really doesn't hide his emotions.

The girl was not affected at all, writing her own papers as always. ,

Two hours.

The atmosphere in the examination room began to be under pressure, because very few students answered.

Naturally it becomes tense.

The girl raised her head and looked at Chen Fan on the podium in a daze.

Chen Fan was a little angry and walked to the girl's side.

"｀ 々When you are done, hand in the paper."

"Ah... can you hand in the paper?"

"That nonsense, I'm all done, why don't you hand in the paper? What are the math checks, and quickly hand in the paper, Tao Yaoyao... Tao Yaoyao."

Tao Yaoyao ran over quickly, and for a long time, Chen Fan was not so happy anymore.

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