This is how the first day of the sports meeting ended.

When Xu Jiayi returned home, she immediately uploaded Qin Yuanchun to the school forum with the idea of ​​enjoying the good article together, and specially signed it as Li Xuan, Class 12, Senior High School.

There are not many people in the school forum, and only a few are active.

Everyone who saw this post was shocked without exception. They didn’t believe it was the work of a high school student. The bottom of the post was filled with praise.

"This song "Qinyuan Chun" is majestic and heroic. It is just like a classmate who is a teenager and is in his prime. I don't know how to describe it, but I feel it is so well written...Wait a minute, tell me, this is so high-spirited

Written by a student?”

"This Li Xuan was second in the grade in the last monthly exam. His composition seems to be very good. His literary talent is indeed amazing. I admire him!"

"I always feel that this word is incomplete, please give me the complete version!"

Among them, netizens who were familiar with the lyrics made a request to see the full version. In fact, Li Xuan selectively deleted the clips in order to make them relevant to the sports games, but some sharp-eyed netizens discovered the problem.

…

At the sports meeting the next day, Li Xuan had a competition and couldn't relax.

The event that Li Xuan signed up for at this sports meeting was called the three-thousand-meter long-distance running. It was purely an impulse. At that time, the class committee couldn't find anyone. He thought he exercised a lot, so he signed up.

This is the 3,000-meter race known as the devil’s race.

Standing on the starting line and seeing the muscular athletes next to him, Li Xuan looked at his body again and was speechless. He could only say that it was too late to regret.

Du Yuwei stood next to the starting line, looking a little worried, frowning: "It's three thousand meters, what should I do? I feel like I'm going to die. I ran 800 meters in the morning, and I almost collapsed. It's really

Yes, the boys in the class know the school beauty every day, but none of them are proactive, and they still need a master to show up."

Xu Jiayi pinched her face and expressed her confidence in Li Xuan. She smiled and said, "It's okay. The master said he can do it."

"Li Xuan looks soft and weak. I'm afraid he's not as good as you. You said it's easy. If it were you, would you be able to run a thousand meters?"

"I can't. I have motion sickness. I feel dizzy when I run and can't breathe!"

"I'm speechless. It's the first time I've talked about my poor physical condition in such a grand way. Jiayi, you really need to exercise. How will you survive three years of high school with such a bad body? You have to think about it."

"You are very annoying. You are born with nothing to do."

Xu Jiayi also knows that exercise is helpful for learning and can make people's energy and spirit improve qualitatively, but she is just lazy and does not have the perseverance to exercise.

The two of them were still chattering and whispering.

The game is about to begin.

The referees were in place, students from the student union were maintaining order, and there were quite a few students watching.

Du Yuwei was very attentive and had already prepared hot water towels, ready to carry Li Xuan down when he fell to the ground.

Li Xuan stood on the starting line without saying a word.

Originally, Li Xuan didn't want to get a ranking. When he saw his competitors gearing up, he didn't feel nervous at all.

At this time, he unexpectedly saw Liang Zhihui, the top student in the mathematics competition group, on the starting line. Li Xuan couldn't help but show a hint of surprise and sympathy, "Zhizhi? Why are you participating in the 3,000 meters?"

Liang Zhihui is tall and thin, with the same expressionless face as always: "Those in our experimental class don't know how to run away, so I have to come."

Li Xuan looked at Liang Zhihui and saw that he didn't look like he was exercising regularly. He felt relieved that at least he wouldn't be at the bottom.

Gunfire rang out.

A group of people rushed out of the starting line.

Li Xuan was able to stay in front at the beginning, but he failed in the middle and could not keep up with the larger group. Facts have proved that exercising for a month or two may improve his body, but it does not change the nature of being a weakling.

Similarly, Liang Zhihui was also a weakling. Side by side with Li Xuan, he succeeded in being at the bottom. Looking at the large army riding on Juechen, Li Xuan suddenly felt so lonely.

I don’t know how many laps he ran, but Li Xuan was sweating profusely and his breathing rhythm was a little messed up.

In the bottom of his heart, Li Xuan doubted that the leader of the long-distance race was a national second-level athlete and was almost a lap ahead of him.

When he found that the first place had passed him by one lap, and then whizzed away, Li Xuan looked very embarrassed.

"What the hell..."

Li Xuan turned around again and saw that the troops were almost catching up. At first glance, he looked like he was second or third best.

Liang Zhihui seemed to realize the seriousness of the problem and began to rush forward with all his strength, gritting his teeth.

If this continues, isn't he going to become a loser?

He doesn't want to be one of the losers.

Li Xuan also felt very bad and hurriedly followed Liang Zhihui, panting and asking in an attempt to consume Liang Zhihui's energy: "Zhizhi, how can you prove that pi is greater than three and less than four when you don't know the specific value of pi?"

Liang Zhihui's whole body was tense at this moment, and he didn't want to say even a word. But when he heard that it was a mathematical problem, he couldn't help but think about how to prove it, and his whole body felt uncomfortable.

Finally, he said in a daze: "It's very simple. The method of cutting a circle can prove that pi is greater than three. By using a square circumscribed by a circle with a radius of 1, it can be proved from the diagram that pi is less than 4."

Li Xuan thought that this question was too simple, and Liang Zhihui couldn't help it, so he gritted his teeth and asked: "Why is the area of ​​a rectangle equal to its length times its width?"

"Isn't this a rule?" Liang Zhihui was about to vomit blood.

"Why is it so stipulated? Why not multiply the diagonals? There must be a reason!"

Liang Zhihui opened his mouth and was immediately confused.

At this time, the disadvantage of being too tall came into play. Liang Zhihui was running and thinking at the same time. His brain was severely deprived of oxygen, his face was covered in sweat, his eyes were looking at the sky, and his pace gradually slowed down.

Li Xuan breathed a sigh of relief and quickly overtook him. Hiding his merit and fame, he was finally not one behind.

I thought this had troubled Liang Zhihui, but Liang Zhihui just thought for a moment and rushed forward, shouting: "No, no, the area of ​​a rectangle must not be multiplied by the diagonals, because the diagonals of the two rectangles are equal, there is no guarantee

Rectangles are the same. This is a junior high school knowledge point. Only when the length and width are equal can two rectangles be equal."

Li Xuan was so angry that he came up with another question: "Okay, you passed this question, but how do you prove that square root 2 is not a rational number?"

This problem may have triggered the first mathematical crisis in history.

In history, there was a famous Pythagorean school who believed that the only numbers in the world were integers and fractions. But one day he accidentally discovered that the hypotenuse of an isosceles right triangle is neither an integer nor a fraction. The hypotenuse is the root of the straight side.

If the number is 2 times, the root number 2 is an irrational number.

Then the worldview of the ancient Greeks collapsed, leading to the first mathematical crisis.

At that time in ancient Greece, the Pythagoreans had a great reputation in the world. They always boasted that the core of their method was "everything is number", which included everything in the universe. It was the most powerful method in the world and was invincible.

As a result, there was an endless stream of people coming to learn from his master.

But the people in the sect couldn't find a score that represented the root number 2, so they began to wonder if the founder Pythagoras was a fool.

Irrational numbers are infinite non-repeating decimals. The Pythagoreans couldn't understand what infinity is.

It is incredible that a line segment should be represented by an irrational number. The disciples of the Pythagoreans could not understand what it represents.

The man who discovered the flaw in this sect was named Hippasus. His talkativeness revealed the secret, and the Pythagoreans were immediately panicked. In anger, they threw him into the sea to feed the fish.

This story tells us that if you are too good at mathematics, you will be thrown into the sea to feed the fish.

Then this crisis remained unresolved, tormenting mathematicians for two thousand years, and was not completely resolved until the 19th century.

Mathematicians call square root 2 an irrational number, because they feel that this infinite non-recurring decimal makes no sense.

May there be no mathematics in heaven.

After all, Liang Zhihui stood on the shoulders of giants. He had carefully read the high school textbooks and knew how to prove by contradiction. He gritted his teeth and said: "Assuming that the root number 2 is a rational number, which is equal to the ratio of two relatively prime natural numbers, then through proof by contradiction and parity, it can be proved

It contradicts previous assumptions.”

Li Xuan is so tired.

Why does Liang Zhihui know so much when he is only a freshman in high school? What should I do if I want to beat him? Mathematics is in crisis because of this problem. If you don’t give the ancient mathematician Pythagoras some face, be careful that Pythagoras will kill you.

Throw it into the sea to feed the fish.

Beside the track, the onlookers saw Li Xuan and Liang Zhihui running out of breath and lagging behind the first place by an unknown number of meters. They did not forget to discuss math problems. For a moment, they felt collectively petrified.

"Is this a top student? He doesn't forget to discuss math problems during the competition?"

"I'll rub it and it will lighten my eyes, okay? What is this operation?"

"Is this why I can't learn math well?"

Xu Jiayi watched Li Xuan and Liang Zhihui pass by her, seeming to be exchanging questions, and was confused: "Yuwei, are they exchanging mathematical questions?"

Du Yuwei also fainted: "It seems so?"

“Is math really that interesting?”

"perhaps?"

…

…

Li Xuan was still running hard. He knew that thinking about problems was very energy-consuming, so he asked another question, which was about to exhaust the energy in Liang Zhihui's body: "Is 0.9 an infinite loop equal to 1?"

After asking and asking, Liang Zhihui started to feel a little dizzy: "A simple question, of course it is equal. If I make x=0.9 in an infinite loop, then 10x-x=9x=1, we can get x=1, which seems obvious.

Equal numbers are actually equal."

"So how much greater is 1 than 0.9 infinite loop?"
To be continued...