Derived questions of national college entrance examination:
(1) Find the value of a parameter in a function or the value of a given parameter, and find the derivative or tangent value.
(2) Find the monotonicity or monotone interval of the function, as well as the extreme point and maximum value.
(3) Find a constant or a parameter range when it is established under certain conditions.
(4) Construct a new function and analyze it.
(5) Zero point problem.