1, grasp the foundation
Basic knowledge is the most fundamental cornerstone in the whole mathematical knowledge system. To lay a solid foundation, we should mainly do the following: summarize and sort out the knowledge structure of the teaching materials, remember clearly the concepts and error-prone points of the test sites, and lay a solid foundation. Mathematics = a certain amount of questions+law summary. The memory of all the most basic concepts, axioms, theorems and formulas is clear and definite, not like or approximate.
In particular, multiple-choice questions and true-false questions need a clear concept to distinguish right from wrong. If the concept is unclear, you will feel ambiguous, which will eventually lead to wrong judgment and wrong choice. Therefore, there are many good books on the market that summarize the knowledge points comprehensively, which can be bought and remembered easily. These knowledge points will give you guidance when you do the problem.
2. Refining and refining
Do more selected simulation questions, do more sets of selected simulation questions, or do several sets of real questions in previous years, because the knowledge points of these test papers are reasonably distributed, which can optimize and improve the whole knowledge system, sublimate the foundation and ability, improve the speed and master the knowledge more flexibly.
Through the training of simulated test questions, master the method and time of answering questions, and learn to arrange the time as a whole when doing simulated test papers. Easy first, then difficult, don't spend too much time on a problem. Usually develop good problem-solving habits and good mentality, so as to play their best level in actual combat.
The rigor of mathematics:
Mathematical language is also difficult for beginners. How to make these words have more accurate meanings than everyday language also puzzles beginners. For example, the words "open" and "domain" have special meanings in mathematics. Mathematical terms also include proper nouns such as embryo and integrability. But these special symbols and terms are used for a reason: mathematics needs accuracy more than everyday language.
Mathematicians call this requirement for linguistic and logical accuracy "rigor". Mathematics is a universal means for human beings to strictly describe the abstract structure and mode of things, and can be applied to any problem in the real world. In this sense, mathematics belongs to formal science, not natural science.
All mathematical objects are artificially defined in essence. They do not exist in nature, but only in human thinking and ideas. Therefore, the correctness of mathematical propositions can not be tested by repeated experiments, observations or measurements, like physics, chemistry and other natural sciences whose purpose is to study natural phenomena, but can be directly proved by strict logical reasoning.