Chapter 7 Training
Gong Rihui Teacher Gong did not stay in the classroom for long. He asked a question to test Xu Chuan's mathematics level and then left directly.
For one afternoon, Xu Chuan and more than 30 students in the classroom were studying by themselves.
Reading books by yourself, finding questions by yourself, and answering questions by yourself can be said to be the most vivid experience of consciousness.
This is very different from the physics competition. IPHO has experimental questions, and students who participate in the physics competition need to do the experiments manually. Students participating in the physics competition are often led by the physics teacher to fiddle with various instruments in the experimental building, instead of simply Stay in the classroom and do the questions.
The reason why he failed to win the 'Absolute Winner' in his senior year of high school was that he fell behind by two points in the experiment.
Mathematics competition is different. In addition to reading books, it is just about answering questions. Occasionally, two or three students will gather together to discuss difficult problems, but most of the time they will study independently.
In the evening, after dinner, the teacher Gong Rihui who led the team visited the classroom again.
This time he did not leave. He left two major topics on the blackboard and then sat on the podium, drinking tea and reading the newspaper.
The two questions are the tasks he left for the training students. They are given every night. They are done that night and taught that night.
When leading a competition team, it is impossible to really let these students learn on their own, as that would not lead to a good team at all.
Mathematics is indeed a subject that requires talent and understanding, but talent and understanding cannot solve everything.
A good teacher is still indispensable. At least before the completion of studies, the teacher's guidance can save students from many detours and can also inspire students' thinking.
Xu Chuan raised his head and glanced at the questions on the blackboard. One was to find the area of a triangle in analytic geometry. The figure was drawn like a strange five-pointed star mixed in a circle; the other was to use L'Hôpital's law to find the limit.
These two questions should have been asked by Teacher Gong himself, and they are both in the category of high school mathematics, but the former question is difficult, after all, the graphics are drawn like that.
The latter is also very difficult. The key is that many high school teachers or ordinary high school teachers don't talk about Lópida's Law very much.
Because L'Hourbid's Law does not belong to the category of high school mathematics, nor does it fall under the test requirements of the college entrance examination. Only some knowledge points in high school elective textbooks involve L'Hourbid's Law.
In high school mathematics, most of the questions involving Lópida's law are final questions, which are difficult and cannot be used by most students.
For students participating in the competition, all required and elective textbooks fall within the scope of examinations.
For these two questions, these students participating in the competition only have ninety minutes. The time is very tight and the difficulty is very high. It can be regarded as a way to adapt to the atmosphere of the competition in advance.
Of course, this was nothing to Xu Chuan, and he finished it in less than half an hour.
However, after finishing it, he did not hand in the paper in advance, but continued reading silently. He still had a lot of previous knowledge to recover from his mind.
However, this move attracted the attention of Gong Rihui on the podium.
Among a group of students who were all immersed in solving problems, Xu Chuan was the only one holding a book and reading. This was too obvious.
Don't underestimate the field of view of a teacher sitting on the podium. Basically, he can know the movements of the whole class at a glance. Those little tricks like peeking at novels and playing with mobile phones during the student days can be seen clearly from the podium, but it's just that Many times I am too tired to care about you.
Putting down the thermos cup, Gong Rihui walked quietly to Xu Chuan.
Sensing the movement around him, Xu Chuan looked up and saw someone standing next to him like a ghost, and he was immediately startled. "Have you finished both questions?"
Seeing Xu Chuan reading a math book, Gong Rihui, who was about to get angry, suddenly changed his tone and asked questions.
He came up with the questions on the blackboard, and he knew the difficulty clearly. They were extracted from previous years' Olympiad questions and Olympiad teaching materials, and then he modified them and put them in.
These questions, even among the students participating in the competition, are on the more difficult side.
It takes half an hour to complete these two questions, which can be said to be quite difficult. There are probably only a few of the more than thirty students in this class who can complete them within ninety minutes.
He finished it in half an hour, and he didn't even think about it. Not everyone, let alone high school students, even graduate students in the mathematics department, could do it.
Could it be that this kid just gave up because he couldn't figure it out? Or is it only partially solved?
Gong Rihui had doubts in his heart and picked up the manuscript paper Xu Chuan used to solve the problem from the table.
The next moment, the dense answers on the draft paper in his hand took away all his attention, and the whole figure stood there like a sculpture.
A few minutes later, after reading the answer, he breathed a sigh of relief. This manuscript paper answered the doubts in his heart, and even surprised him.
This is only the second high school student he has seen in more than ten years of leading a competition team who can use L'Hubida's law to this extent and apply calculus to analytic geometry.
The first one was not in southern Hunan, nor was he a student, but a mathematical genius named Wei Dongyi whom he had met during an exchange in Shandong Province. After receiving the IMO gold medal, he is now a Ph.D. student at P University, studying under the tutelage of an academician of the Academy of Sciences.
"Why didn't you come earlier to participate in the number contest?"
Holding the manuscript paper, Gong Rihui suddenly asked Xu Chuan angrily, but before Xu Chuan could answer, he sighed again and said: "It's really a pity that you want to study physics. It's too much to study mathematics." OK.”
Xu Chuan was a little confused. He didn't know what stimulated the teacher in front of him, so he asked carefully: "I guess I got it right?"
"That's right, but the idea of disintegration is a bit special."
Gong Rihui nodded, affirmed, pinched the manuscript paper in his hand, and continued: "I'm a little curious, why do you use calculus to solve this problem?"
"Isn't it easier to use straight line equations, curves and equations in analytical geometry? You have come full circle."
Xu Chuan scratched his head, smiled shyly, and said: "I used calculus to solve physics problems easily before, but I didn't change my mind for a while."
After all, he won’t answer that he doesn’t know analytical geometry yet, right?
Because of his rebirth, he had almost forgotten many detailed knowledge points of high school mathematics, including some contents of analytic geometry, which he did not remember very well.
It's not that he won't use the knowledge of analytic geometry to solve this problem, but the knowledge of analytic geometry that he can remember is beyond the scope of high school.
He has not yet read the high school books on analytic geometry, and his original deep memory has not yet recovered.
However, calculus and L'Hôpital's law are relatively commonly used mathematical tools in physics. Even if they are basic knowledge in high school, he cannot forget these two things, so he can directly use calculus and some basic mathematics to solve this geometry problem.
(End of chapter)