The kingdom of mathematics is like a well-structured building complex, which is endless. As beginners, we just grope in one of the courtyards, trying to get familiar with the path, so as to plan the best path (fastest, most convenient, most labor-saving and nearest) to reach the goal at any starting point with confidence. It is comprehensive to be able to give corresponding solutions according to different standards).

The specific knowledge point is the path that we gradually become clear and familiar with through exploration. Actually, this is not a difficult point. Longer than the road is the pace, and thinking ability is the pace of the veranda mathematics kingdom. Unlike reality, you can rely on transportation. No one can think of others, but at most, you can show the way. In the end, you have to go by yourself step by step. Opportunists are actually deceiving themselves, their independent thinking ability has not improved, and they are panting and exhausted when climbing mountains.

Thinking ability is the basis of exploring the kingdom of mathematics. For example, you can think deeply now and hope someone can guide you. This is the embodiment of active thinking. It is difficult for people who lack active thinking to feel the existence of problems and to ask them effectively.

Deep learning can not only develop passively with the deepening of learning content, but also actively think deeply about the same content, sum up more universal relationships and gain a higher level of understanding. Just like the same poem, people with different understandings of life can interpret different realms.

Specifically, we should be good at actively summarizing universality: topic classification and speeding up problem solving. Knowledge points are divided into fields and levels, forming a clean and orderly system. If you have doubts about your study, you will always find problems. With the expansion of contact with new fields and the deepening of thinking, your horizons will naturally broaden. Learning without thinking is useless, thinking without learning is dangerous. Keep learning, thinking and summarizing, and you will find your own in-depth direction.