I want to ask, can I buy a student ticket without a student ID card and a college entrance examination admission card?

cannot. You check the rules for purchasing student tickets: only students in colleges and technical secondary schools are allowed. Having an admission ticket for the college entrance examination does not mean that you are a college student, this is not the same thing.

It is recommended to consult the park, we brought but did not check

cannot. According to regulations, only the student ID card of a technical secondary school can buy a student ticket, and the admission ticket for the college entrance examination does not mean that you are a college student, so you cannot buy a student ticket.