The first small problem should be no problem, basically it is to find a curve equation or fixed value, and remember the curve equation and definition, as well as common conclusions, especially the related properties of parabola;

The second event is usually the finale. If the intersection of a straight line and a conic curve is involved, it is suggested to establish a straight line equation, combine the conic curve, simplify it, write the sum and product of two roots with Vieta theorem, and then put the formula into it.

If you really use Vieta's theorem, it will be a little bit to write it down.