And I'm particularly addicted to geometry.
Geometry is a subject that studies the relationship between lines and surfaces.
I looked at the current mathematics textbook (I am a teacher) and found that the proof questions can be set with unknown quantities, which is an eye-opener. When I was at school, algebra and geometry were completely separated, and the relationship between line and surface could only be proved by conventional methods. )
So in my time, the proof questions were all derived from the results step by step until I knew the problem.
Of course, it is impossible in most cases. At this time, it is necessary to cooperate with the forward push-starting from the known quantity given by the topic, calculating step by step according to the accumulated experience in doing the topic, which coincides with what you said, hehe, and finally you can get the result to be proved.
When you encounter a very troublesome problem, you can't push it forward or backward. You must combine the two.
But the current mathematics textbooks are really great, which can be proved by unknown quantities, greatly reducing the difficulty. You can try more.