After receiving the test paper, Wu Tong flipped through the pages to make sure nothing was missing or omitted. She first took a quick look at the contents of the paper. The questions were not difficult, and the final question was about the same medium 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 the national competition, and even the 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 answers one by one.
Question 1, Question 2, Question 3...
After about twenty-four minutes, Wu Tong cracked the last major question with ease and without a trace of anger. She had already finished the first league exam. She had almost finished the basic college math textbook. Now, even high school problems, even those from the Olympic Games, were difficult for her to think about for long.
Picking up the paper, Wu Tong carefully reviewed it again, and used other methods to deduce the answers again. 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 up. He couldn't help but raise 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 skills were quite good. After collecting Wu Tong's test paper and returning to the podium, he curiously looked at a few questions and found that he had gotten all of them right. Incredible, incredible, these kids are really incredible!
Wu Tong stood up and left the exam room. The other candidates glanced at his departing figure. Was he a master or had he given up? Most of them still thought he had given up. Those who were fast at finishing had only just started with the important 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 are not allowed to leave at will. Wu Tong was arranged to wait in the lounge at the end.
After leaving the exam room, she had already retrieved her backpack. Wu Tong took out the complex function textbook she had just bought two days before leaving and flipped through it. This time, she remembered to borrow the university physics textbook.
The second test will start again one hour later, starting at 9:40 and ending at 12:30.
After checking her test paper, filling in her information, and reviewing it, Wu Tong returned to the exam room, proceeding methodically. Many candidates lamented how quickly she recovered, handing in her first exam paper carelessly and returning to the second as if nothing had happened. Compared to the few who simply gave up, her courage in taking the exam again was commendable.
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 long questions.
The first question was a geometry proof question. After reading the question, Wu Tong already had an idea of how to deduce it. After making a rough deduction and verification on the draft paper, she copied it neatly on the test paper.
The second question consisted of a single sentence: Prove an inequality. It was a bit challenging, but not too difficult. Ten minutes later, Wu Tong finished it. The main time was spent on writing the proof twice, both on scratch paper and on the test paper. Both questions were worth 40 points.
The third question seemed a bit more difficult: prove that there are infinitely many positive integers... This one went a bit deeper. The fourth question, with its stem alone, took up nearly an entire page, a rare topic. Wu Tong became interested and read through it carefully, gaining some ideas.
The difficulty of this question is considered to be on the high side among all the questions she has done, even exceeding the difficulty of some national competition questions. Using it in the league feels like it is beyond the scope of the syllabus.
For the average student, it's difficult to understand the question alone, let alone solve it. However, no matter how difficult this question is, it's still a high school-level in-depth study, so for Wu Tong, it's not beyond the scope of the syllabus.
To ensure accuracy, Wu Tong carefully read the question again. The steps unfolded slowly in her mind, and she began to deduce them on a piece of scratch paper.
Once you have a clear idea of how to solve this problem, you can actually find many conditions from the question stem. Just figure out the properties they satisfy and then extract the proof.
···From the conditions of S, 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 students around who noticed Wu Tong's behavior thought, "Is this another crazy student?" They thought if they waited any longer, more people would give up the exam, so they just held on!
I have to go through the process, otherwise how will I explain it to the school? Will they say they don’t understand the questions at all?
The invigilator walked over 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 and the other candidates still had no idea what to do, they could see this child writing almost non-stop, so smoothly that it didn't look like he was doing the super-difficult questions in the math league supplementary test at all.
He had some information, and knew that the provincial teams' performance in last year's national competition was mediocre, with only three first-place prizes and no national team members taking home any. Therefore, in order to identify the true talents to compete for spots on the national team, this year's competition questions increased in difficulty in a step-by-step manner, with the final question rivaling the extremely difficult national competition questions. Even asking him to tackle it would require careful consideration, and even the average teacher might not be able to 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 checked the time. It was nearly three hours, and only fifty minutes had passed, leaving him with two hours left. He had just taken a look around the exam room and saw some students still struggling with the first question. Only a few had even started on the second question.
This speed really shocked him. It seemed that their provincial team might have a miracle student this year!
The invigilator was very concerned about this promising candidate and specifically instructed, "Is the team leader outside the venue? Only if he is can you leave the school. If the teacher is not here, please 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 gate along the same route he took 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 the exam as soon as it started, and they even discussed the student's mentality problem in a low voice.
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