Chapter 32 League
After getting the test paper, Wu Tong flipped through the pages to make sure nothing was missing or omitted. She first glanced over the contents of the paper. The questions were not difficult, and the finale was about the same level of difficulty as the competition questions she had done. This year should be okay!
However, Wu Tong ignored the fact that the questions she did were basically from national competitions, and some were even questions she got from Duan Hong later, but there were also real questions from previous IMOs, the International Mathematical Olympiad.
At eight o'clock, the exam officially began. Wu Tong solemnly filled in her identity information and began to answer the questions.
When she was browsing the test paper just now, the answers to the previous fill-in-the-blank questions were already roughly mapped out in her mind. Now reading the questions again was equivalent to a second review. She wrote almost non-stop, filling in the questions one by one.
Question 1, Question 2, Question 3...
About 24 minutes later, Wu Tong solved the last big question with a casual attitude and without a trace of anger. She had finished answering the first test paper of the league. She had almost finished the basic college mathematics textbook. Now, it was difficult for her to think for a long time when doing high school questions, even if they were Olympic questions.
Picking up the paper, Wu Tong carefully reviewed it again, and deduced the answers again using other methods. Only fifteen minutes had passed.
Halfway through the time, Wu Tong raised his hand to hand in the paper.
The invigilator came over and saw that Wu Tong had answered all the questions and his draft paper was also filled to the brim. He raised his eyebrows in surprise. Hey, hey, is a miracle going to happen in this exam room?
Or is it that the questions this year are too easy? Some students actually finished and handed in their papers in only half the time?
As a member of the Provincial Mathematical Society, his math level is pretty good. After collecting Wu Tong's test paper and returning to the podium, he curiously looked at a few questions and found that he got all the answers right. Incredible, incredible, today's kids are really incredible!
Wu Tong stood up and left the examination room. The other candidates glanced at Wu Tong's back as he left. Was he a big shot or had he given up? Most of them thought he had given up. Those who were fast at doing things had only moved on to the big questions!
It’s difficult, so difficult that it makes my brain burn! ···
There is another exam next time, and candidates who hand in their papers early cannot leave at will. Wu Tong was arranged to wait in the lounge at the end.
After leaving the examination room, she had already taken out her backpack. Wu Tong took out the complex function book she had just bought two days before leaving and read it. This time, she remembered to borrow the university physics book.
The second test will start again one hour later, starting at 9:40 and ending at 12:30.
Wu Tong checked the test paper, filled in the information, browsed the paper, and sat in the examination room again, doing it step by step in an orderly manner. Many candidates sighed that this sister recovered her mentality very quickly. She handed in the paper carelessly in the first exam, but she was able to return to the examination room for the second exam as if nothing had happened. Compared with several people who gave up the exam directly, she was brave enough to take the exam again.
The outside world's scrutiny had nothing to do with Wu Tong. Although the second test lasted nearly three hours, there were only four questions in total, and all four questions required answering big questions.
The first question was a geometry proof question. After reading the question, Wu Tong already had an idea for the derivation. After making a rough derivation and verification on a draft paper, she copied it onto the test paper in neat handwriting.
The second question had only one sentence: prove an inequality. It was a bit difficult, but it was okay. Ten minutes later, Wu Tong finished this question. The main time was spent on writing the proof process twice, on the draft paper and on the test paper. Both questions were worth 40 points.
The third question seemed a little more difficult, proving that there are infinitely many positive integers... This involved a deeper section. The fourth question, the stem alone took up almost a page, and such a stem was relatively rare. Wu Tong became interested and read the stem carefully, and got some ideas.
The difficulty of this question was considered to be on the high side among all the questions she had done, even exceeding the difficulty of some national competition questions. Using it in the league felt like it was beyond the syllabus.
For ordinary students, it is difficult to understand the questions, let alone solve them. However, no matter how difficult this question is, it is still a deep exploration of high school knowledge, so it is not beyond the scope of Wu Tong.
In order to be more accurate, Wu Tong read the question carefully again. The steps slowly unfolded in her mind, and she picked up her pen and started to deduce on the draft paper.
Once you have opened up your mind to this question, you can actually get a lot of conditions from the question stem. Just figure out the properties they satisfy and then extract the proof.
···From the conditions that S satisfies, we can deduce the object of the last question···
The proof of this question was completed, which meant that Wu Tong's league was coming to an end. Wu Tong checked front and back, and after confirming that everything was correct, she raised her hand again to hand in the paper.
Most of the candidates who noticed Wu Tong's actions thought, is this another crazy person? If they wait a little longer, more people will give up the exam, so they just hold on!
I have to go through the process, otherwise how can I explain it to the school? Will they say I don't understand the questions at all?
The invigilator walked up to Wu Tong as expected. After the exam started, he was wondering if this kid would hand in his paper early again.
When the papers were handed out, while other candidates still had no clue, they could see this child writing almost non-stop. His writing was so smooth that it didn't look like he was doing the super-difficult questions in the math league extra test at all.
He had some information channels and knew that the provincial teams performed mediocrely in last year's national competition, with only three first prizes and no national team. Therefore, in order to select the real talents to participate in the competition and compete for the national team, the difficulty of this year's competition questions increased step by step, and the last question was even more difficult than the national competition questions. He had to think carefully before he could do it, and ordinary teachers probably couldn't solve it.
With such a difficult exam, he would not be surprised if some candidates scored 0 points, but this child was able to hand in his paper early.
He looked at the time. It was nearly three hours. Only fifty minutes had passed. There were still two hours left. He had just taken a look around the room and found that some students were still struggling with the first question. Only a few started to write the second question!
This speed really shocked him. It seems that their provincial team might have a miracle student this year!
The invigilator was very concerned about the promising candidates and asked them, "Is the team leader outside the venue? Only if he is can you leave the school. If the teacher is not here, you should go to the lounge and wait!"
Children of this age, although not grown up yet, still need someone to take care of them. Such good seedlings must be taken good care of!
"Yes, thank you, teacher!"
Wu Tong carried his schoolbag and walked out of the school along the same route he had taken in the morning. There were many teachers from various schools waiting for the candidates outside. When they saw Wu Tong coming out, they thought that Wu Tong had given up on the exam as soon as it started, and they even discussed the student mentality issue in a low voice.
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