The landlord's problem is indeed a problem that most students encounter. Analytic geometry is to translate the conditions of the topic and then work out the answer. But there are too many conditions and equations, and it's really hard to start.
First of all, I suggest that the landlord change the method, not to solve it after listing, but to "solve it while listing", that is, first transform some relatively "naive" conditions he read and get some conclusions, and then use these conclusions as conditions to solve "complex" conditions. For example, suppose a straight line passes through a parabola and two points, and tell the focal points the ratio of these two intersections, and then tell some complicated situations, such as passing through two focal points as the tangent of a point. At this time, four equations can be obtained from simple conditions, and it is easy to solve the coordinates of two intersections (expressed in Ram), thus transforming multiple elements into one element, which is convenient for later calculation. If it's pre-listing, it's too complicated to start!
If the landlord insists on making the formula first, then it is useless for me to talk about more skills, because it requires the landlord to cultivate his own computing ability, practice makes perfect, and accumulate inspiration for solving the formula through continuous practice.
Finally, good luck to the landlord!