Chapter 80 IMO
In addition to the test papers that have been translated into Chinese, the Chinese representative team also asked for an original English version of the test paper.

The team members who are able to participate in the IMO have strengthened their English translation skills. For example, Guo Jiachen and Chu Xiaosheng have all learned English since elementary school, and they can translate papers without any problem.

This is also the Chinese national team's approach to ensure rigor and accuracy.

After getting the test paper, Wu Tong completely entered into the state of focusing on the questions. The first question was a function question in the field of numbers and algebra. The difficulty was not bad. After Wu Tong finished reviewing the questions, ideas emerged. He started writing and wrote down his reasoning on the draft paper. process,
Let Y=0, we can get f(0)=···
Excluding negative conditions, substituting necessary factors, and obtaining the proof, the interval value of all solutions.Finally, by substituting in, the required conditions are obtained.

After completing the first question, Wu Tong copied it onto the test paper and moved on to the second question, geometric proof.

She raised her eyebrows lightly. The difficulty of this geometry problem seems not to be low.Among the IMO questions she has done, the difficulty can be ranked in the middle.It seems that this year's IMO question group has really increased the difficulty.

Of course, this was still not a problem for Wu Tong. Ten minutes later, Wu Tong penned this question again and completed the answer.

The third question is still a question of functions. After reading through it, Wu Tong confirmed that this year's IMO is really digging holes everywhere. Today's tiankeng appeared. If you don't pay attention to this, you will probably be completely buried in the hole.

Wu Tong continued to write the solution process in a silky way, starting with the proof of the injection, obtaining the basis for her judgment from the known conditions, using the method of counter-evidence to compare the two formulas to deduce the contradiction, and then deduced from this, and finally determined Satisfy the conditions of this requirement, and finally find all the solutions, where C is a non-negative integer.

After answering the three questions, he checked again. Wu Tong checked the time. Well, it was still at the usual speed, not exceeding an hour.

The customary hand in advance,.In the entire arena, except for the Chinese team's habit, everyone else was in an uproar. Many of them hadn't figured out the direction to solve the first questions. Has someone from the Chinese team handed in the paper?
Isn't the game just starting?

Many contestants feel that their mentality is going to collapse!In an hour, people have done a topic that they may not be able to finish in four and a half hours. How do they compare, how do they compare?
What about friendship first and competition second?

The other five members of the Chinese team, unsurprisingly, continued to write furiously. This was the usual basic operation of the god of learning. They had gone from shock to numbness, they were so used to it.

The invigilator who collected the papers from the organizing committee shrugged unsurprisingly. They had indeed screened the questions carefully, but obviously, no matter how they screened, there was still a limited scope, and they could not trap this talented little mathematician who had recently become famous. Home.

Wu Tong quietly gave a cheering gesture to the rest of the Chinese team. She left the examination room with the chocolates provided by the desktop organizing committee. Perhaps considering the long examination time, there were some chocolates on the desktop at each position. Such as snacks to replenish energy.

Wu Tong simply took away what was not wasted, and it was the same for her to eat while waiting outside.

"How is it? How difficult is the exam?" Seeing Wu Tong coming out of the exam room, Professor Cheng, the vice-leader of the Chinese representative team, asked with a smile without any surprise. The difficulty he said was naturally not about Wu Tong's difficulty. It is aimed at the difficulty of other ordinary contestants.

"The organizing committee is very hardworking, and it is not easy. The third question is very interesting!" Wu Tong raised her eyebrows and handed Professor Cheng two chocolates.

Wu Tong took the pen and paper from Professor Cheng, and wrote out the three questions for today. The questions were not too long, so it didn't take her much time.

Professor Cheng saw Wu Tong's interesting third question at first glance. After reading the question, after careful consideration, he couldn't help but pat his forehead. Trick, using the error theorem.

I hope that the kids in their national team are not people who step on the pit, and don't ask them to get full marks for this question, but just don't make weird mistakes.

"Using polynomial property functions to consider functional equations, everyone understands the common methods of functional equations!" Wu Tongdao is not too worried. This knowledge point was emphasized during the training camp. She has taught a section this class.

"Pure Han Fang means and understanding, pure beauty of Han Fang!" Professor Cheng and Wu Tong discussed the problem-solving method, and after listening to Wu Tong's problem-solving process, he couldn't help but admired it.

"If you use the right method, this question is not too difficult!" Wu Tong commented casually. The difficulty of this question has not reached the extremely difficult level in history. It just requires a precise thinking angle.

"Let's wait for them to come out slowly!" Professor Cheng spread his hands with a smile. It's not too difficult, basically it can only be said compared to Wu Tong.

Sure enough, when it was time to hand in the test papers, candidates with different skin colors and different languages ​​came out of the examination room, but they were all expressing the same question.

"What the hell kind of topic is this?"

"It doesn't feel like a problem that humans can make? Is this playing us?"

"I think the third question, I may not get points, or be more confident and remove the possibility, I will not get points!"

Of course, it's not that they are full of self-confidence. For example, in the North Korean group, it seems that they seem to have performed well?All of them have a posture with their eyes and noses turned upside down!

The Chinese representative team did not say that they all had a bitter face, but their expressions were not very good-looking.

However, after a thorough understanding of the situation, Professor Cheng felt that he should not be so pessimistic. He simply comforted and encouraged: "Okay, everyone, cheer up and pack your mood. Don't think about anything tonight. Have a good rest and prepare for tomorrow." , your performance on every question tomorrow is very important, and we need you to go all out for the final sprint!"

Basically, this IMO is the last chance for these students to participate. After returning to China, none of these national team members will go back to high school.

Based on the solid psychological foundation laid by the training camp these days, the state of the Chinese representative team is still good. After a simple dinner, everyone went to rest early. The next day, they stepped into the examination room again full of energy to welcome the final day of the competition. challenge.

As long as they finish the exam today and after the IMO awards ceremony is over, they will have a nearly two-month vacation where they can have fun.Until the semester starts in September, step into the university gate and start a fresh university life.

"Come on, I'll wait for your triumphant return, and I'll pick you up soon, Professor Li. Starting tomorrow, we'll have four days of free time to roam around. We don't want to come to Nur-Sultan for nothing!" Before entering the examination room, Professor Cheng patted the shoulders one by one to encourage and boost morale.

The exam started again, and the fourth question was still in the geometry section. This year's simple number theory questions were somewhat avoided.Regular geometry proof questions are considered to be bonus points!

Today's opening atmosphere should be okay.

(End of this chapter)

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