Chapter 52 Late-night Consultation

Given positive real numbers a and b and any two points A and B on the plane, such that AB = a, take two points C and D on the plane such that ABCD is a non-degenerate convex quadrilateral and...

In fact, Su Yi's ability in space is not outstanding. She also discovered this when she was studying in the meditation space, so she had consciously strengthened her training in this area before.

Moreover, Teacher Xiao is relatively good at space, so he specially gave Su Yi special lessons. He sorted out all the experimental materials he did in college and gave them to Su Yi, and also did special targeted training. If Su Yi still did not improve, how could she be worthy of her math teacher?

The second question was also completed relatively smoothly.

But the third question was difficult.

This is an equation problem: For all a∈Z, there must exist a six-element set X that satisfies k=1, 2,…36…

Equations can be very amusing at times, but can also make people incredibly irritable at others.

Although Su Yi answered the first two questions much faster than others, she spent a lot of time on the third question. By the time she finished, there were less than 20 minutes left before handing in the paper.

She simply checked her test paper again until the bell rang to end the exam.

Four and a half hours of answering questions consumed a tremendous amount of brain power. Everyone was extremely tired after walking out of the examination room, and everyone looked listless.

Wu Xintong and Su Yi were not assigned to the same examination room, so they met in front of the teaching building.

"The last big question today is too difficult. I feel like I'm done..." Wu Xintong wailed.

Her wailing resonated with the others, and Su Yi nodded: "It's quite difficult. It took me almost two hours to solve it."

"Su Yi, what's the answer to the last big question?" someone asked Su Yi.

The teacher leading the group couldn't help but say, "Stop discussing the answers. Aren't you hungry after working on the questions for so long? You'll know the answers sooner or later. Don't let it affect your performance the next day. Get a good night's sleep when you get back to the hotel."

Su Yi smiled and said, "The teacher is right. It can't affect the exam the next day, and what I did may not be right."

Although the man was unwilling, he also felt that it made sense, so he did not continue to ask.

Because they had to take the exam the next day, the group went back to the hotel after dinner to take a nap, and then studied independently in the afternoon.

Although Wu Xintong likes watching TV and reading gossip on Weibo, when it comes to the official exam period, she can almost completely restrain herself from touching her mobile phone, which shows that she has strong self-control.

Not only her, but other students are like this as well, which just proves the saying: Genius is one percent inspiration and ninety-nine percent perspiration.

After waking up, they gathered together again to do the exercises, and occasionally discussed the problems someone encountered, because in this CMO competition, in addition to selecting candidates for training, the team competition was also one of the awards to be competed for.

However, just before going to bed, Yang Hao suddenly knocked on their door.

"It's me, Yang Hao."

Fortunately, although the two girls had finished washing up, they had not changed their clothes yet. Su Yi opened the door and saw Yang Hao standing at the door, but he was leaning sideways.

Quite a gentleman.

"I'm looking for Gu Suyi."

"We haven't changed our clothes yet, you can turn around." Su Yi said, "What's going on?"

Yang Hao then turned around, and Su Yi realized that he was holding a book in his hand.

"I was just reading the Queen Dido problem, and there were some parts I didn't quite understand. I wanted to ask you something. I saw you reading a book on the subject before." When Yang Hao spoke, his face was expressionless as always.

"It's already half past eleven." Wu Xintong couldn't help but say.

"Why don't you go to sleep first." Su Yi said to Wu Xintong.

Wu Xintong's original intention was that it was too late. After all, they were two girls and it was always a little inconvenient. However, after hearing what Su Yi said, she didn't say anything else, but said: "Forget it, I'm not very sleepy, you guys come in and talk."

Su Yi welcomed Yang Hao in.

The story of Queen Dido's enclosure is actually quite interesting, and it embodies a very famous mathematical principle - the isoperimetric theorem.

The book she had read before contained an explanation and analysis of the Queen Dido issue. It was also one of the books recommended to her by Professor Zhang Yuan. She even specifically asked about this aspect, so the questions Yang Hao raised happened to be what she had understood a few days ago.

This explanation lasted an hour, and even Wu Xintong, who was originally preparing to go to bed, listened very carefully.

After figuring out everything, Yang Hao looked at the time and felt a little embarrassed: "Sorry, I'll treat you to milk tea tomorrow."

Su Yi chuckled and said, "It's okay. I asked a professor about the question you asked a few days ago, so I can answer it for you. It also helps to deepen your impression."

Yang Hao didn't say anything else. He just said "thank you" and left.

But after the exam the next day, Wu Xintong, who had always been in a good mood, rushed over to hug Su Yi tightly after seeing her, and was so excited that she couldn't help herself: "Ahhhh! Su Yi, you are so great, I love you so much!"