Chapter 27 is not very difficult
As the organizer of the finals, Xingcheng No. 1 Senior High School has set up two designated reporting points.

All of them are hotels near the school.

Xu Yuan and his team arrived in Xingcheng safely and headed to the nearest reporting point in the morning.

As soon as you push the door and enter the hotel lobby, you will see a huge poster with the words "Seek and encounter the beauty of mathematics" written on it, and the three English letters on it are particularly eye-catching.

CMO
National Mathematics Winter Camp for Middle School Students.

Mathematical Olympiad.

There are several tables in front of the poster, and students from other provincial teams are already registering.

“Everyone can come here to line up and receive reporting supplies.”

The staff member who was busy registering the students noticed Xu Yuan and his friends just came in and waved to them.

Zhang Yuhui promptly warned: "Pay attention to maintaining order."

Of course, even if he hadn’t said this, there would have been no chaos at the scene.

Those who can come here to participate in the finals are undoubtedly the top students in the class. When they go out, they represent the reputation of their own school and they will definitely pay attention.

Not long after.

After Xu Yuan completed the registration, he received a package of supplies with the words "Xingcheng No. 1 Senior High School" printed on it.

There are a lot of things in the bag.

Camper card.

Meal coupons.

Guidelines for participating, etc.

"It's worthy of being the National Mathematics Finals. The standard is much higher than the league."

He took out all of them, checked them, and put them back. Just as he was sighing inwardly, he noticed that Lin Haoming had already hung the camper card around his neck, and he was not the only one who did so.

It can be seen that everyone is more excited about the finals and less nervous than before.

According to the organizer's schedule, we can get familiar with the examination room after attending the opening ceremony in the afternoon. It's still early, and after completing the report, Zhang Yuhui asked everyone to go back to the hotel room to rest, mainly because sitting in the car for such a long time must be a little tired both physically and mentally.

Xu Yuan didn't feel very sleepy because he had been sleeping on the way.

morning.

He sat alone on the sofa in the room, holding in his hands a copy of "Arithmetic Researches" by Gauss, the Prince of Mathematics.

Watching it with gusto.

He was confident about the final, but that didn't mean he could waste time.

The truth is to constantly replenish your energy.

……

After having lunch at the hotel at noon, all provincial teams took a special car to the host, Xingcheng No. 1 Senior High School.

When entering the school auditorium, the first thing you see is a red banner with the words "Opening Ceremony of the National Winter Mathematics Camp for Middle School Students" written on it. Sitting on the stage are the principal of Xingcheng No. 1 Middle School, the chairman of the Mathematics Council, and city leaders.

The opening ceremony has a relatively fixed process, and after the national anthem is played, the speech session begins.

Finally, after watching a few art performances, the event was announced to be over.

Only at this time did the students become excited again. After taking a group photo, the provincial teams familiarized themselves with the examination room.

"Brother Yuan, I'm two rows behind you."

Lin Haoming first helped Xu Yuan find a seat, and then pointed at his own seat excitedly.

It seems that the closer I am to Xu Yuan, the better my performance will be.

Xu Yuan nodded: "I saw it." His expression remained calm.

By the time they got back to the hotel, it was already past five in the afternoon, and they only had time left to prepare for the exam in the evening.

However, at this time, few people can still concentrate on learning.

Silence all night.

The next day.

Half past six in the morning.

The special car stopped at the hotel entrance on time and we were called upon to get in.

The team leaders of each province are also making final arrangements to prevent any unexpected situations from affecting the exams.

"I still say the same thing, take good care of your things, don't be nervous during the exam, just perform at your normal level." "Also, no matter what happens, report it to the invigilator in a timely manner."

"have you understood?"

Xu Yuan and the other nine people took Zhang Yuhui's words to heart and responded in unison: "I understand."

I immediately got into the car and arrived at the test site quickly. After a body search with my ID card and camper card, I sat in the test seat and waited.

There were dozens of people in the classroom, but no sound could be heard.

The occasional coughs were particularly noticeable.

It was not until the first bell rang at 7:55 that the invigilator opened the test paper on the spot.

The second bell rang at eight o'clock, marking the official start of the first exam of this national high school mathematics finals.

Different from the league's examination format, the final is divided into two games, each lasting four and a half hours. Candidates need to answer six essay questions in two days, each question is worth 21 points out of a total of 126 points.

Xu Yuan took the test paper and took a quick look at it, then focused his attention on the first question and concentrated his mind.

Soon it entered the deep learning state.

"Let points I and H be the incenter and orthocenter of acute angle △ABC respectively, and let points B and C be the midpoints of sides AB and AC respectively..."

……

"Prove that a sufficient condition for the three points A, I, and A to be collinear is that the areas of △BKB and △CKC are equal."

"It's not very difficult." This thought suddenly popped up in Xu Yuan's mind after he read the question.

I thought the final test would be more challenging, but it turned out not to be much more complicated than the league test, so I was definitely a little disappointed.

It's like you signed up for an adult competition, but your opponent was matched with a junior team.

There is really no suspense.

Of course, this so-called youth group is only limited to him.

His mind worked quickly to determine the solution to the problem, and the next second he started writing it down on the test paper to prove it.

"H is the orthocenter of △ABC, and A is the circumcenter of △BHC"

“∠BHC=180-∠BAC”

"∠BAC=2∠BAC..."

……

It is worth mentioning that considering that there was plenty of time, Xu Yuan deliberately slowed down his pace.

There was no rush to finish the answer.

It is not easy for everyone to make it to the finals, so there is no need to submit the paper early and create pressure on others.

After successfully answering the first question, the second question involving collective content became easier to handle, so that by the time it was past nine o'clock, he had completed two-thirds of the test paper.

Although this last question was about positive integers in number theory, it successfully aroused his interest after he read it.

“Given a positive integer n, find the smallest positive number r such that for any ..."

……

Number theory has always been a subject of great interest to him. The book Arithmetic Researches by Gauss that he brought to the finals this time also talks about the problem of positive integers.

After thinking for a moment in his mind, he decisively started to calculate on the draft paper.

As the saying goes, it is better to become famous early, and he has no reservations about this final.

Since you are taking the exam, you must get full marks.

Therefore, every time he finished solving a problem, he would check the progress bar panel that appeared in front of him.

Only when you confirm that the task progress has reached 100% can you feel completely relieved.

"I have finally finished writing the entire proof." Xu Yuan breathed a sigh of relief, and finally put down his pen and crossed his hands to flex his fingers.

As all three questions were answered, the test paper was already filled with densely packed proof formulas.

He raised his eyes and saw the clock on the wall, and found that there was still more than an hour left before he had to hand in the paper, and this was the result of him deliberately slowing down his pace in solving the questions.

However, after he solved the last number theory problem, he found something interesting in it, so he didn't spend the rest of the time bored and dazed.

……

(End of this chapter)