Chapter 23 Mathematical Olympiad
On Tuesday, the sensation caused by Wu Tong's counterattack and reaching the top of the list with full marks in five subjects subsided a little.
After dinner, when they returned to school, class monitor Lin Yang found Wu Tong and said, "Teacher Chen said that you will also participate in the Mathematical Olympiad. There will be an Olympiad training tonight. Let's go together?"
"Okay!" Wu Tong closed the advanced mathematics book in his hand, picked up the bound draft paper and pencil case, stood up and left the classroom with Lin Yang.
Each teaching building in the school has a special name. The building where their class is located is called Boxue Building. Minghua Building is the building in front of them. In front of it is the playground of their school.
The teaching and research section in Minghua Building was temporarily used as a training class for the Mathematical Olympiad. When Wu Tong and Lin Yang arrived, most of the students participating in the Mathematical Olympiad had already arrived.
There are not many students in the class, maybe about ten.
Except for a very small number of students who are truly interested in Olympiad mathematics, the vast majority of students who come here are those who rank top in mathematics. Among them, the majority are top students from Classes 1 and 2 whose classes are located in this building.
When Wu Tong came in, he was a stranger to everyone. The number of top math students in the school was not very high, and many of them had participated in the Mathematical Olympiad since the first year of high school, so most of them knew each other.
When they saw Lin Yang coming in with her, all the students realized that this should be Wu Tong, who had become famous in the past two days and had full marks in five subjects. Lin Yang was from Class 7, and the only stranger who could come with him and suddenly join the class could be her.
It’s only the third week since school started, and this year’s freshmen in the first year of high school have not yet made their debut.
The substitute teacher for the Mathematical Olympiad training was Mr. Duan Hongduan, whom Wu Tong had already dealt with. He had arrived early and sat down at the podium.
"Wu Tong is here!" He saw Wu Tong coming in, and couldn't help but smile and call Wu Tong over. He glanced and saw the book in Wu Tong's hand. He looked closely. Advanced mathematics? Duan Hong was stunned. That's right. For students who have fully mastered high school mathematics and want to explore higher knowledge, there is nothing wrong with reading this book!
"Can you understand it?"
"It's okay. It was a little difficult at the beginning, but after these two days, my logical thinking has been established and it's getting better slowly!" Wu Tong nodded. Now the teachers of various subjects basically don't pay much attention to her, except that occasionally when they talk in depth and the students in the class can't answer and ask her some questions, the teachers basically don't interfere with what she learns.
She has free time to arrange her schedule and has devoted more time to studying most of the advanced mathematics book. She expects to complete it within this week.
"It's a good thing that you can read it. Take your time. There is a big difference between high school math and college math!" Duan Hong encouraged Wu Tong. "If there is anything you don't understand, you are welcome to consult me or any math teacher in the school. They will be happy to help you solve your doubts!"
Thinking that Wu Tong had already started studying university mathematics textbooks, while this group of students in the class were still struggling with high school questions, he couldn't help but want to give this group of people some stimulation.
Pointing out the identity, he introduced to the class that had already arrived: "This is Wu Tong. You should all be familiar with Wu Tong. He is the only one who got full marks in the math test this time. He also took this year's college entrance examination paper on the day the results were announced. What I can tell you is that he still got full marks!"
"There are always people better than you. You should learn from Wu Tong. Don't think that you are the best in the world just because you are good at math!"
"I know, Old Duan, don't you feel guilty comparing us with such a super academic genius?" Those who can enter this class have good grades and naturally have a harmonious and close relationship with the teacher. Some of them were cheerful and couldn't help but shouting mischievously!
"That's right!" The others followed suit. How could a genius like them, who could get full marks on the college entrance examination papers, learn all the knowledge in high school, and was already studying university textbooks, be compared to him? Old Duan really thought too highly of them!
"I think you guys are just too idle. You're good at talking. Come and do a mock test today!" Duan Hong was almost amused by this group of people who were not doing their best. "Wu Tong, find a seat first. Today, do a mock test of the Mathematical Olympiad. There are some differences between competitions and ordinary exams."
There were still many empty seats in the teaching and research room. Lin Yang had his own seat, and Wu Tong randomly picked an empty seat in the middle and sat down.
Duan Hong began to hand out the papers. The boy in the front row turned around and passed the paper to her. His glasses couldn't hide the excitement in his eyes. His face was still a little chubby. He greeted her with a smile: "Boss, I'm Sun Chao from Class 1. Please take care of me!"
Wu Tong recognized that he was the one who first spoke up and asked whether Teacher Duan was guilty or not.
"Wu Tong from Class 7, please take care of me, God of Study!" If she remembered correctly, this was the one known as the Little Prince of Science!
He seems to have always gotten full marks in math. The guy who got 148 in math this time must be him, right? His science scores were either full marks or close to full marks, but his Chinese and English scores were a bit lagging behind, hovering around 110. He was also among the top students in the grade.
As the test papers were handed out, all the students began to concentrate on the papers in their hands. They were all top students in their grade, so they still had some psychological control.
Wu Tong looked at the test paper in her hand. There were not many questions on it, only four big questions. But it covered almost everything, including plane geometry, algebra, number theory, and combinatorial mathematics. Compared with the basic papers she had done before, the difficulty was not at the same level.
The first question is about plane geometry. In the acute triangle ABC, the height CE on AB and the height BD on AC intersect at point H. The circle with DE as diameter intersects AB and AC at points F and G respectively. FG intersects AH at point K. Given BC=25, BD=20, BE=7, find the length of AK.
Wu Tong had come across some real questions in this area during the summer vacation, but not many. After successfully completing the high school courses on her own and having the idea of participating in the Mathematical Olympiad, she began to pay attention to exercises in this area. However, due to limited time, she has not had much contact with it yet.
As for Mathematical Olympiad, I can only say that I am at the threshold.
However, the High School Mathematical Olympiad ultimately tests high school knowledge. Even though Wu Tong has not yet formed any Olympiad thinking and is not familiar with the angles of Olympiad questions, for her, who has thoroughly mastered the high school curriculum and is learning ahead of time, it all comes down to one sentence: solving problems, and she is not afraid of that.
After reading the questions carefully, Wu Tong had some ideas in his mind. He wrote a few words on the draft paper to organize his ideas. Wu Tong began to write on the paper:
Given BC=25...
AC·BD=CE·AB····
····AK=9*24/25=216/25.
The first question was answered smoothly. It was a warm-up question and not difficult for Wu Tong. She spent more time writing the problem-solving process, which actually exceeded her thinking time.
Wu Tong then moved on to the second question. The second question had two questions, each more difficult than the last.
When Wu Tong read the questions for the first time, he was still a little confused, which was a rare state in recent times. After reading the questions again and again and thinking about them carefully, Wu Tong finally got the hang of it. The knowledge points that were running rapidly in his mind were connected in series and turned into problem-solving ideas, which were reflected in Wu Tong's mind one by one.
The second question was solved again, and the complicated problem-solving process was presented in the words of Wu Tong's pen.
Most of the students in the class were still struggling with the first question, still trying to find a solution. Wu Tong's coherent writing was particularly noticeable in the quiet classroom. Others looked at Wu Tong with awe and envy. Has he already finished the second question? They haven't figured out the solution for the first question yet. How could a powerful academic master be so terrifying? Everyone quickly thought harder.
If they delay any longer, the boss will hand in the paper before they finish the first question! They have already heard about Wu Tong's habit of handing in half the time in advance.
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