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There are many ways to learn math. But personally, I think that the key is to master the knowledge points of each chapter. If we can master every knowledge point proficiently from the first grade, then you will feel very relaxed in the subject of mathematics.
Since I don't know what grade you are, I'm not going to give you an example. This is a question that was given to people on the Internet a few days ago:
A pool of water, A and B are filled in 5 hours, B and C are filled in 4 hours, if B is opened for 6 hours first, A and C need to be opened for another 2 hours to be filled. How many hours does it take to fill up?
Analysis: A and B are filled in 5 hours, indicating that A and B can be filled with water 1 5 per hour. Ethylene and Propylene are filled in 4 hours, indicating that Ethylene and Propylene can be filled with water per hour 1 4.
Now B opens for 6 hours, and A and C need to open for another 2 hours to fill up. It can be seen as A and B water injection for 2 hours, which is 2 5, B and C water injection for 2 hours, is 2, and the difference of 1 10 is the amount of water injection for B alone for 2 hours. That is to say, it takes 20 hours to fill up.
For your reference.
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Let's talk about my personal approach.
When I study mathematics, I usually first understand the basic theorems.
See if there is a connection between the new knowledge and what you have learned before.
Derivations, such as in the differential calculus of one-member functions.
There is a connection between Fermat's lemma, Roll's theorem, Lagrange's theorem and Taylor's formula, and it is easy to memorize the derivation from each other, as well as the limit, derivative, differentiation, and integration.
Then do the questions, a lot of exercises not only to consolidate what you have learned, but also to fill in the gaps.
Oh, personal opinion, I wish you to find your own learning method as soon as possible.
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First, you should understand the class, and ask questions immediately if you don't understand.
Second, do more questions, consolidate knowledge, and familiarize yourself with the question types.
Third, pay attention to the calculations and don't ignore the small problems.
Junior high school math is relatively simple, and you must learn it well, otherwise you will be very tired in high school. Although the content is not related, the method of solving the problem is the same.
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Think with your heart and brain, do a good job in no topic, think more, talk less nonsense, this is what our teacher taught us, so our class grades are not bad!
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Focus on understanding and memorizing (memorizing) all axioms and theorems.
Memorize (memorize) all the formulas, and figure out the ins and outs of this formula, i.e., the reasoning process.
While memorizing (memorizing) theorems and formulas, apply one or two example problems for each theorem and formula, and be familiar with its application process and reasoning.
Mathematics focuses on pushing.
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In mathematics, we need to learn formulas, figure out the reason, do more problems, think more, and most importantly, be interested
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Don't be a question slave, follow the thinking.
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Familiarize yourself with the definitions and work forms, and practice more.
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Take the formula by heart.
Then practice again.
Start with the book questions, including reflection questions.
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How to learn math well are thirteen good habits.
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Mathematics is the foundation of all learning, and mathematics is the study of concepts such as quantity, structure, change, and spatial models. Through the use of abstraction and logical reasoning, it is generated from counting, calculating, measuring, and observing the shape and motion of objects. Mathematicians have expanded these concepts in order to formulate new conjectures and to establish rigorously deduced truths from appropriately selected axioms and definitions.
The knowledge and application of basic mathematics is always an indispensable part of individual and group life. The refinement of its basic concepts can be seen in ancient mathematical texts in ancient Egypt, Mesopotamia, and ancient India. From then on, there was a steady stream of progress until the Renaissance in the 16th century, when mathematical innovations in response to new scientific discoveries led to an acceleration of knowledge to the present day.
Today, mathematics is used in different fields around the world, including science, engineering, medicine, and economics. The application of mathematics to these areas is often referred to as applied mathematics and sometimes provokes new mathematical discoveries and leads to the development of entirely new disciplines. Mathematicians also study pure mathematics that has no practical application, even if its application is often discovered later.
Of course, even if you don't want to be a mathematician, learning mathematics well is good for people's life, study, and work.
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Mathematics can be seen everywhere in life, as far as I can see, from buying vegetables and cooking to estimating the food and drink of the family, to estimating whether the project will make money or not; Olympiad mathematics is to train thinking, and people who are good at Olympiad mathematics can think quickly.
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What is related to mathematics, mathematics is a kind of work efficiency of the best ideas, in layman's terms, people who are good at mathematics do not necessarily coordinate their work, but people who can coordinate their work must be good at mathematics.
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Mathematics doesn't seem to have much to do with work, but it has a close relationship with life!!
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! Math is often irrelevant to work, but being good at math can open up your mind!
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Yes, it makes you react faster and have developed brain cells.
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Useful, mathematics is the cornerstone of science, physics, chemistry, biology are based on mathematics, and mathematical methods of thought, logical reasoning are required.
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Mathematics is studied to exercise thinking skills and make the brain flexible. In addition, the rigor of mathematics can also cultivate the habit of rigor. However, the current mathematics teaching has deviated from the fundamental purpose of learning, and the difficulty is constantly increasing, so students continue to encounter psychological setbacks, so they are unwilling to learn mathematics.
In fact, there is no need to learn such a difficult math anymore, but it is counterproductive. There are very few people who can actually use this mathematics after work, so it should be the education sector that should be reflected. We all now know that traditional education does more harm than good, as can be seen from the fact that none of the top students in the college entrance examination are outstanding in the end.
But I am afraid that I will be manipulated by power and money after the reform, so I have been reluctant to move. I don't understand why we don't have a comprehensive grading system when scores are so important.
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It is useful, and at the moment it is useful to cope with exams, and in the long run, it is useful to find a job, and now there are many jobs that have a lot to do with mathematics.
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It is very useful, not only to exercise the mind, but also to have a partial effect later in life.
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Science should develop its own language that can describe the properties inherent in science with a high degree of accuracy. It is not difficult to imagine how clear and concise the language of chemical formulas is. It enables the chemist not only to write down the progress of the chemical process, but also to foresee the possible results, and although this language is so important, it is at best used to solve problems in the chemical science itself, and it is impossible to apply it to other fields of knowledge.
In this respect, the language of mathematics is incomparably superior, and in a sense, mathematics is a universal language suitable for describing heterogeneous processes. Scientist Galileo Galilei believed that the universe unfolding before our eyes was like a big book written in the language of mathematics, and if we did not master the symbolic language of mathematics, it would be like wandering in a dark labyrinth and not knowing anything clearly. Mathematical language, because of its inherently economic nature of thinking, makes us use a small number of original languages and formulas to describe non-qualitative processes, to classify, control and synthesize the knowledge system, if we use natural language, it will make the knowledge system of each science bloated, it will be like an all-encompassing encyclopedia.
It is precisely because of the scientific language function of mathematics. Another characteristic of mathematical science, instrumentality, makes mathematics an indispensable means of accurate computation and scientific abstraction.
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Because mathematics is a fundamental tool for other science and technology.
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