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Are there any books that explain mathematical ideas and methods?
Mathematical masterpiece, Paulia's How to Solve Problems.

"Better Mathematical Thinking Methods for Senior High School and Senior High School" is good, mainly introducing the content of mathematical thinking.

The latter is the introduction of mathematical methods and historical materials.

There is no need to learn this in high school mathematics study. Just finish the textbook at hand smoothly, and getting full marks every time is the goal. Finding the reason in the wrong question is a shortcut. Do more questions, do a certain amount, and don't deduct too much. Because you are dealing with the college entrance examination, not scientific research. You don't need to dig deep, you will fall into a dead end. Master degree.

Further, you can look at the books of high school Olympic Games.

It doesn't mean that your grades will be greatly improved after you have seen some wonderful thinking methods. Without such a book, the teacher has taught you all the good ideas and methods. It is important that you practice more. Do more questions. Don't run away from this problem, you must have a certain amount.

There is no shortcut.