"In the acute angle △abc, point p and point q satisfy ∠pab = ∠bca and ∠caq = ∠ab on the side bc respectively. On the branches ap and aq respectively, p is the midpoint of am and q is the midpoint of an. Proof

The intersection point of :bm, is on the circumscribed circle of △abc.

Huh? I didn’t expect that the coaches’ guess was really accurate. The fourth question is indeed geometry.”

After receiving the paper and seeing the first question on the paper, which was the fourth question of the exam, Zhao Xiancai thought to himself.

He didn't rush to do the questions, but looked at the fifth and sixth questions and found that the types of questions were the same as the coaches predicted.

The difficulty of these three questions today is the same as yesterday. The first two questions are still easy, and the last question is a bit difficult.

The time Zhao Xiancai spent was almost the same as yesterday.

When Zhao Xiancai finished writing and started eating snacks, the other contestants who were taking the exam looked here again.

"Here I go, it's this old man again. It seems that at least he has the perfect score this year. I just don't know how many perfect scores this year will have."

"Did he break the rules and pretend to be cool, or has he really finished writing?"

…

When they found out that it was Zhao Xiancai again, they all had different thoughts in their hearts. Some people didn't look at Zhao Xiancai at all and were still staring at the test paper with a constipated expression.

When the exam was over, before Zhao Xiancai even left the exam room, many people around him came over to introduce themselves to him and asked him his name and which country he was from.

When they talked to Zhao Xiancai, they all used English, so Zhao Xiancai also responded to them in English.

However, since his spoken English is not fluent yet, Zhao Xiancai speaks more slowly in English to prevent mistakes.

"My name is Natalia Khotiaintseva, from Ukraine. Can I ask for your Instagram account? Other social accounts are also fine."

Among the people who came to see Zhao Xiancai, there was a rare girl.

"Sorry, I don't have an Instagram account or any other accounts."

As Zhao Xiancai spoke, he looked at the girl who asked him for an Instagram account. When he saw her face, Zhao Xiancai also showed some surprise on his face. This girl was the same girl they were hanging out at the University of Cape Town yesterday.

One of the two girls I met when I was young.

At this time, Zhao Xiancai has grown a lot taller than he did a year ago. In addition, this girl from Ukraine does not look that mature, so Zhao Xiancai feels that she is no different from domestic girls.

the difference.

Zhao Xiancai had never been abroad before, so he learned about foreign countries either by chatting with people around him or through the Internet.

Therefore, he still feels that at the same age, foreign girls, especially girls from Europe and the United States, look more mature than domestic girls.

However, after seeing the girl in front of him, she looked just like a fifteen or sixteen-year-old girl in China. There was no difference. Zhao Xiancai didn't believe that she was twelve or thirteen years old.

Not everyone in this world is like Terence Tao, who participated in the International Mathematical Olympiad at the age of twelve or thirteen.

Therefore, this time it can be regarded as breaking Zhao Xiancai's understanding of foreign situations that he previously learned from the Internet.

"I have an email. You can write down my email address."

Zhao Xiancai added that this girl was not the only one who asked for his contact information. He had already shared his email address with others.

The girl probably didn't hear it, so he said it again.

Hearing what Zhao Xiancai said, Natalia had no choice but to write down Zhao Xiancai's email address.

When Zhao Xiancai walked out of the classroom and found Gao Peicai and the others, they were surprised that Zhao Xiancai came out so late today, and asked him out of curiosity: "Why did you come out so late today?"

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At this time, not only Li Qiusheng and Zhang Sihui were standing beside Gao Peicai, but also the team leader Yao Yijun and another observer Leng Gangsong.

After all, this test is over, and the next step is to revise the paper.

"Originally I planned to come out as soon as the exam was over, but I didn't expect that after the exam, many people came over and asked me for my name. It took me a while to deal with them," Zhao Xiancai explained.

"Ask your name? What were you doing in the examination room again?"

After hearing what Zhao Xiancai said, Huang Yiming asked curiously.

"I'm not doing much, I'm just doing the same thing as yesterday, finishing writing and then eating there."

"Are there any girls who asked your name?"

Normally, when Zhao Xiancai comes out, they usually ask about his grades, but today everyone started gossiping.

"It's true. He is one of the two girls we saw when we were wandering around the school yesterday."

He also asked me for my Instagram account, but I didn’t have any of these things. In the end, he left her an email address, and I told her that if she had any questions she didn’t understand, she could ask me through the email address.”

Zhao Xiancai said.

"Are there really girls? They are actually the two we met yesterday, and they all have contact information. Is it the pretty one or the average one?"

"You said beautiful, but Zhao Xiancai may not necessarily think it is beautiful. You have to ask him to describe it roughly."

Huang Yiming originally just wanted to gossip. He didn't expect Zhao Xiancai to say that there was a girl, but he didn't expect that there was actually a girl, and she happened to be the one they saw yesterday. This naturally increased everyone's intention to gossip again.

Seeing them like this, the team leaders and observers looked at each other, smiled and shook their heads.

These team members are all teenagers of fifteen, sixteen or seventeen years old. Talking about girls is a completely normal thing, and they didn't say anything bad, so they naturally don't care.

"She was wearing a red coat yesterday. For Huang Yiming, it should be an ordinary one, right?

It's normal to leave an email address. I don't have any other contact information for them to contact. I also left it for other people, just to exchange some learning experiences with each other.

They also said that if they encounter some mathematical problems in the future, they would like to ask me, and I said that if I have time then I will try to help them."

Zhao Xiancai was talking as he walked with them to the place where they were eating.

"What's her name? What country is she from?"

"She and the girl who was with her yesterday are from Ukraine, her name is Natalia Khotiaintseva, and they are indeed from the European Women's Mathematical Olympiad.

However, I don’t know the name of the girl who was with her yesterday. If you want to know, I can ask you later.

I remember that it was written in the schedule given to us before that there will be a music and dance party this afternoon and evening, and tomorrow the organizer will also arrange for us to have a one-day trip to the peninsula. If you two want to get in touch, you will have plenty of time." Zhao

The Way of Talent.

But after Zhao Xiancai said these words, the other team members who were originally eating melon stopped talking.

"What's wrong? Didn't you say yesterday that you wanted to ask for someone's contact information? Why is it that today, with this opportunity right in front of you, no one dares to take action?

It’s not enough to just talk without practicing!”

Seeing them like this, Zhao Xiancai also smiled and said.

"How was your test today? Can you get full marks?" Zhou Wen said to Zhao Xiancai, beginning to change the subject.

In this way, they talked about the exams in the past two days.

…

"Looking at it this way, Zhao Xiancai and Gao Peicai, you two should be able to get full marks.

Zhou Wen and Qi Ruilin may not be able to get full marks, but you will definitely get more than 30 points.

and……"

After they finished talking about their respective situations, Yao Yijun said.

next chapter
Chapter completed!