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Is learning advanced mathematics useful for solving physics problems in senior high school?
Useful, very useful. When Newton studied physics, didn't he solve calculus in mathematics first? Now I am in college and have learned some advanced mathematics. I think it is quite convenient for advanced mathematics to solve classical physics in middle school. You played high school math contest, of course it's better. Let me give you a few simple examples to feel the beauty of mathematics and physics. You said you weren't used to instant questions. Let me ask you a question about the change of magnetic flux, the generation of alternating current for production in China. In the process of alternating current generation, the magnetic flux passing through the coil is constantly changing, and the image of φt can be made, so you can see that it is a trigonometric function curve. If the derivative of the curve is obtained, the derivative value is also called the magnetic flux change rate in physics, and combined with Faraday's electromagnetic induction law, the induced electromotive force, ohm's law and circuit problems can be solved. By solving the circuit problem, I can make an i-t image of alternating current, so that I can definitely integrate T and find out the amount of charge passing through the circuit. There are still many problems like this. You are not weak in math, I believe these are not problems for you. But you are not very handy in physics. I guess you have a poor physical foundation and are not familiar with the basic concepts of physics. If you pay attention to the basics, it will definitely help. However, I tell you that high school physics can basically be solved by middle school mathematics, provided that it is solid. Also, high school physics is to deal with the college entrance examination, try to use middle school mathematics, or the teacher will give you extra points if he doesn't respond. Your competition knowledge may not be reflected in the test paper, but when you use calculus to solve physics, you will be much faster than others, and you will have one more tool to test the right and wrong answers than others. Of course, the above is just my personal experience, for the landlord's reference only.