I applied for a national invention patent, and the teacher asked to be named. What should I do?

I don't know how important your invention patent is. It mainly depends on how your patent is used and how valuable it is. If money is involved in the future, you'd better divide it up now. It doesn't matter if the teacher just wants to set a name to make his performance and assessment look better and help him evaluate. These days, many friends have many ways. To put it bluntly, it is to look at the value of invention patents and what teachers can bring you. Nothing is absolute, don't be wronged, measure it yourself.