What is the pursuit of individuality? Is it the pursuit of individuality to look at high numbers in junior high school? I'm telling you, a good high school saves the top three and the top four, so I'm telling you. When I first entered high school, I began to fight for several things. Especially in physics, some people have just started to learn advanced mathematics in their first year of high school, which has already started to drag their feet. Many people have learned how to solve high numbers and ordinary differential equations before their freshman year, and then they can learn four mechanics. But others will not delay. Delay? Being delayed means that you shouldn't go this way. If you can get into the top high school in the province, you don't have to worry about the delay. There is no delay.
High number refers to Tongji's high number, right? Be reasonable. Being able to read that book means that you can still touch the average game. But don't think too much about yourself, it's still far from "mathematics". Needless to say, I'm still a vegetable. I used to feel like myself, but I didn't know I had any talent until I saw real math. My high school classmate used to compete, but it seems that he didn't do well in the end and only got a copper. I thought he would go to the physics department, but he actually went to the math department. Well, according to him, it is also difficult to learn. Comparatively speaking, I think my choice is correct, and engineering is more suitable for me.
Don't think that you can find a derivative product by analyzing several functions. When you decompose an equation, you will feel "Ah, I am good at math". If only this kind of operational thing brings you satisfaction, I suggest you break this illusion. It's ok to cook after dinner. If you are really interested in proving things, find a book on mathematical analysis or something. If so, that's good. However, you have to get into a good high school first, then a good university, and finally choose the math department.
Interest-related: When I was majoring in mathematics at Peking University, I regretted carefully getting 40 points in the third grade. I think I should spend time learning high school knowledge instead of repeating training mechanically. In the afternoon, it was revised and some positive suggestions were added to the topic: most of the problems are cold water, but it is also good to be interested in the topic. You can think of it as your own reward. Study hard during the day, you can reward yourself for an hour or two, but you can't be a staple food.
That's how I taught myself college content in high school. To tell the truth, long-term mechanical repetition will indeed wear people's gas field, but it is essential. Besides, I just thought about it. I haven't studied set, how to learn the function of high number, how to extend the definition of trigonometric function to real number, complex number sequence, trigonometric identity and other transformations, how to do series and derivative integrals, and how to do algebra and multivariate functions with vectors.
What is your addiction? Do you really like it, or do you just think I can do this that others can't, so I'm proud?
How is your math in class? Those who can learn advanced mathematics well, even if they don't understand tricky's content, elementary mathematics is at least not bad. Can you guarantee to get into a good high school? If you can't get into a good high school now, the chances of getting into a good university will be greatly reduced. If you can ensure that you pass the exam, it is no problem for you to find time to study advanced mathematics for an hour or two without playing games or surfing the Internet. 4. Why don't you like math competitions? I don't understand interjections. If you just want to take the integral derivative test and don't want to prove it, just go to the physics competition. Then, do you want to go to a good university to study mathematics? If you want to go, you should take the senior high school entrance examination. I don't understand if you don't want to go. It is suggested to read the textbook of mathematical analysis of Fudan University in China, which is relatively simple and of high grade. Rudin and Zoroach, who are more difficult, remember to do support exercises. It is hooliganism to watch the basic course of geoscience mathematics without doing the questions.
I have always encouraged students who have spare capacity to do some extended learning, not limited to the entrance examination, but only if they have spare capacity. Your concept of advanced mathematics is not an escape from the real examination. In middle school, I also met many people who were addicted to college knowledge, but some of them learned in a mess. In fact, they don't like college knowledge very much, mainly because they pretend to be B and got the countdown in the college entrance examination. The university did not continue to study related subjects. They also have talent, but this talent is far from enough to make them willful.
Many people are addicted to games, and you are addicted to high numbers. One important reason is that they can get a sense of accomplishment and superiority. I can understand how you feel. There are many wonderful skills and solutions to limit and various integral problems in advanced mathematics. Every time you learn a new posture or rack your brains to solve a problem, you feel a sense of accomplishment.
After thinking, struggling and puzzling, I saw the wonderful solution of the answer, the epiphany at that moment, and the sudden opening of that second, which was as unforgettable as the first love. Even if time flies, I won't be flustered when I see similar problems in the future. Perhaps the feelings of the other half for you will be erased, but elegant solutions will always be stirring!
But, however, looking at the limited description of the topic, it seems that you are not a genius in learning advanced mathematics? Or we can't control it, so we should balance it with our study. There is no denying that this topic is really talented in the field of mathematics, but it gives too little information. What do the subject mean by "too much experience" and "as planned"? Let's talk about it in detail I don't know if the subject has heard the nonsense "study hard in middle schools in recent years, don't indulge in games, and relax before playing in universities". Anyway, in the end, I sent a sentence to the subject, "Middle school has been wronged for several years, don't indulge in high numbers, and then put the whole thing down when you get to college."
There are a lot of proofs and definitions in the high number, as well as various complex concepts. If the subjects can understand part or all of it and indulge in it, but are not interested in high-tech content such as math competitions, then physics and chemistry competitions may be suitable for the subjects. In fact, the ability of mathematics competition is usually not easy to transfer to other subjects, but the ability to understand concepts in this question can be transferred to junior high school subjects, which is helpful for the study of all subjects.
All of the above is to show that there is still hope for you to study hard in other subjects now. Then there is the question of why we should work hard.
Regardless of the help of learning junior high school content to senior high school, the greatest significance of learning these subjects is to give a ranking and establish a mapping from candidates to grades, which is the basis of high school admission. The college entrance examination and even the postgraduate entrance examination are the same logic. Learning for the purpose of doing problems and exams is anti-human, and most people will not be interested in this kind of exam-oriented education. Nevertheless, most people are still working hard for this, which shows that what people want is obviously not the process of hard work, but the result of hard work. According to the description, the subject probably doesn't have superior family conditions, nor is he a genius in some aspect, so if you still want to pursue a better life or study deeper science, it may be the most economical way to study the contents of the senior high school entrance examination now and get into a good university all the way.