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Does high school mathematics need to learn advanced mathematics?
There is no need to learn advanced mathematics in high school mathematics, but some basic knowledge of advanced mathematics has been involved in high school mathematics.

For example, students are not required to master the knowledge of calculus in high school mathematics, but the concept of derivative (which is the basic knowledge of functional differential) and its solution method have already been found in high school mathematics textbooks in Zhejiang Province.

Of course, if you think that the content of high school mathematics competition belongs to high school mathematics, then high school students may need to learn some advanced mathematics.