Ellipse, hyperbola, parabola, understand their definitions first. For the big problems of conic curve, it is generally geometry and algebra, and only geometry (that is, the first and second definitions) is used alone. Basically, it is a combination of geometry and algebra, setting points on straight lines and curves, and subtracting up and down. Note that the point on the parabola is the ordinate and can be represented by the abscissa, or the abscissa can be represented by the ordinate. In short, it is to turn all conditions into mathematical formulas, and then look for the relationship between requirements and conditions.

For the derivative problem,

Generally, it is a constructor to judge the monotonicity of a function; Or, derivative, derivative and derivative. For the problem of proving inequality, pay attention to deformation.

That's basically all. I suggest you find a few more questions to practice and experience by yourself.

Ps: That's what I did.