Chapter 4 There are two ways to solve this problem Zhang Yong’s grades in junior high school were pretty good, otherwise he wouldn’t have been admitted to Jiangzhou No. 1 Middle School. However, the learning atmosphere and pressure in high school were completely different from those in junior high school. He began to fall behind in his second year of high school, and even though he worked hard, it was still difficult for him to pass math. What Zhang Yong couldn't understand was a function interval problem. He made a mistake when reading the question, so no matter how he calculated, he thought option 2B was correct. Lu Shan explained it to Zhang Yong in great detail and even calculated it for him on a piece of draft paper. Zhang Yong suddenly became enlightened and smiled, revealing his two big buck teeth. "Lu Shan, thank you!" [Points +] The points I got from explaining the problem to Zhang Yong were actually more than those from explaining the problem to Shen Qian! What does this indicate? This means the worse your grades are, the greater your potential is! Zhang Yong, you can grab him! "If you still don't understand anything about this test paper, I'll explain it to you." Lu Shan gave Zhang Yong's deskmate an apologetic look, "Xu Hong, let's change seats." Xu Hong nodded and sat in Lu Shan's seat.
During the entire self-study class, Lu Shan explained the wrong questions to Zhang Yong one by one until he understood them. During this time, Su Ming turned back impatiently and asked the two people to speak more quietly. He was very sure that Lu Shan was deliberately disturbing him from behind to retaliate because he couldn't go to the winter camp, so he complained directly to the study teacher. People who stink all over themselves, of course, think that everyone stinks. Lu Shan didn't care and took Zhang Yong outside the classroom to explain the problem. Seeing this scene, Shen Qian was also a little anxious. Lu Shan's math score is more than enough for the college entrance examination. He should use such precious self-study time to improve his weak English! Why is he thinking about explaining questions to others? And on Lu Shan's side. [Points +] [Points +] [Points +] [Points +] …… very good! By the end of the get out of class, Zhang Yong was able to steadily and continuously provide points ranging from to , depending on the difficulty of the math problems he explained. 【Accumulated Points 】 According to this situation, Zhang Yong should be able to earn considerable points in the next few days until all the points are gone. Zhang Yong was very grateful: "Lu Shan, thank you so much for today! I'm really sorry for delaying your class! For dinner in the cafeteria, use my card!" "You're welcome! I'll continue to explain the questions to you tomorrow." Lu Shan agreed. His family's financial situation was still rather tight, so every penny saved was a penny earned.
"This... How can this be so embarrassing!" Lu Shan’s enthusiasm made Zhang Yong feel embarrassed. He thought that when he invited Lu Shan to dinner later, he would give him an extra chicken drumstick! The kind without starch! Lu Shan still had to go outside the school to find a tutoring class. He ate a few mouthfuls of rice and took the Coke bought by Zhang Yong, then went straight out of the school. The old campus of Jiangzhou No. 1 Middle School is in the city center, and this time is exactly the time for school to be over. There were small stalls everywhere outside the school. The stalls selling egg cakes, fried potatoes, stinky tofu, etc. were surrounded by students. It was full of memories. One street further ahead, the second and third floors of the small high-rise building are all tutoring classes. Lu Shan found Bluebird Education according to his memory. Bluebird Education mainly provides college entrance examination training services, the most important of which is to provide coaching for various competitions, providing students with opportunities to enter better schools at home and abroad through various channels. In addition to the well-known high school mathematics, physics, chemistry, and biology leagues, there are also foreign competitions such as AMC, BPHO, Euclid, etc. These are shortcuts for outstanding students in Jiangzhou City with particularly good family conditions to climb the Ivy League (Ivy League). In the perception of most Xiaguo students, the college entrance examination is fair. As long as they study hard, pass the college entrance examination and go to a good university, they can change their destiny. But education itself is unfair. For children of rich people, the college entrance examination is actually the last and worst choice. "Student, do you want to sign up for a tutoring class? What grade are you in now? How is your situation this semester? Wait a moment, I will let our professional teacher evaluate you." Qingniao was quite professional. Soon, a middle-aged teacher named Chen wearing gold-rimmed glasses came over and asked Lu Shan to fill out a form. The form contained Lu Shan's name, age, school, and grades in various subjects. Lu Shan only filled in his name, age, and school, and said, "I want to join the CMO training class and get a spot in the winter camp next month." Teacher Chen didn't react after hearing this. "CMO training class?" Teacher Chen looked Lu Shan up and down and said, "The math competition results are out, and the winter camp will start in ten days. You are already a senior, so you can't participate next year!" "You can consider AMC. It is more valuable than domestic math competitions and is also recognized by prestigious universities in the United States and Europe..." When Teacher Chen said this, he also looked Lu Shan up and down. Lu Shan was wearing a cotton-padded jacket that had faded from washing, and his family conditions looked very ordinary! It costs a lot of money to participate in AMC training and subsequent competitions. There are only three cities nationwide for the competition: Shanghai, Yanjing and Shenzhen. The round-trip airfare and accommodation fees are considerable expenses. Training fees are also a considerable expense. Can a family like Lu Shan afford it? Teacher Chen adjusted his glasses, smiled and said, "Where are your parents?" Lu Shan said: "I tied for fifth place in the city's math league this year, but due to various reasons, I was unable to participate in the school's CMO winter camp qualification." "But I think I can get the first place in the city." As a human being, sometimes you cannot be humble. The more humble you are, the fewer resources you will get. Opportunities are not something you wait for, but something you strive for. This is also the truth that Lu Shan has realized in his lifetime.
Teacher Chen now became interested in Lu Shan. This year's CMO Winter Camp will be held in Jiangzhou, and there are indeed vacancies available in the training class. But Bluebird has limited places, so they also have to carefully select the best students from the training class to participate in the winter camp. Most of the students who participate in the league training through training classes are top students who cannot compete with the school. They all paid to attend training courses and get a place. These people do not need to win a prize in the CMO finals, they just need this experience to find a way to apply to prestigious overseas universities. Of course, if you can get the grades, your chances of being admitted to the Ivy League schools in the United States will be greater. Lu Shan said that he ranked among the top five in Jiangzhou City in the mathematics league? Teacher Chen saw sincerity in Lu Shan's eyes. No one would joke about the results of a math competition because the truth would be revealed if they did any one of the questions. Teacher Chen quickly collected Lu Shan's information sheet and said, "Follow me." Teacher Chen took Lu Shan to a small classroom on the third floor, where there were only six students and a training teacher. The mock test questions for the CMO finals were written on the blackboard. Let N+ be the set of positive integers, and find all functions f:N+→N+, such that for any positive integers x, y, f(f(x)+y) divides x+f(y). This question is very difficult. The teacher has been asking it for ten minutes, but the students are still looking at it without any idea of how to solve it. Lu Shan looked at the question. If he thought about it for a while, he should have an idea. However, in order to get a place in the training institution's winter camp, thinking for one more second would be disrespectful to himself. Lu Shan said: "There are two solutions to this problem." As soon as these words were spoken, everyone in the classroom stared at Lu Shan. Are there two solutions to this problem? Just talk nonsense! Everyone watched for more than ten minutes but couldn't figure out what was going on. How could this person from that class come in with two solutions? Lu Shan didn’t know, but Poincare must have known. [Consume academic and technological points -2] [Remaining points ] 【Enter the Singularity Lab】 (End of this chapter)