There are routines in high school math problems. If you extrapolate all the results you can get under the given conditions, you will find that the directions of these results are all the same. If you want to continue to do it, you must continue to push it down according to the questioner's thinking. Doing high school math problems is actually pushing you to solve them step by step. Although there may be other methods, this method is the simplest and most clear.

You can list each kind of questions in your usual exercises and follow the first, second and third steps. . . And the key and necessary conditions to solve the problem. If you encounter similar problems in the future, first pay attention to the key conditions, then enumerate, deduce and supplement the necessary conditions, and finally solve the problems step by step. This method seems troublesome, but it can clear up the thinking of solving problems, greatly reduce the time of thinking about problems and improve learning efficiency. There are actually more than 40 kinds of problems you can see in high school mathematics in five categories (I can't remember clearly, after all, I graduated from college now). Other common questions are generally variations of these questions. It doesn't take time to really sort it out, and it doesn't need to be specially sorted out. Tidy up every time you encounter a new problem.

When you solve enough problems (senior three), you will form a conditioned reflex, and you will immediately solve them according to your ideas without thinking back, just like the addition and subtraction within 10 now.

To sum up, when you are unfamiliar with the topic, you should have a clear idea, solve the problem step by step, and gradually become familiar with the routine of the questioner, so that practice makes perfect, abandon the routine and choose the fastest method to solve the problem.