1. The method of fast scoring in high school mathematics
1, recite concepts, formulas, theorems and images.
If you are in your thirties and forties now, the first thing you should do is to carry it on your back. Now follow the teacher around, so it will be difficult to remember every concept, formula theorem and image mentioned by the teacher at first. After all, some concepts of high school mathematics are still abstract, but the decimal teacher tells you that after you recite it for a period of time, there will be obvious changes!
Requirements: Every conceptual formula theorem image should be memorized. You can ask your deskmate questions, such as functions. You should know the concept of function, what are the related properties of function and what are the concepts of these properties. Now you may not understand, but you must know everything!
Note: This is the most painful stage. Come on!
2. Reciting examples The teacher will talk about some examples in class. The second step is to recite this example, including topic conditions, solutions and solutions.
Requirements for reaching the standard: you can close the textbook, write down the conditions and solutions of the questions yourself, and memorize the steps! To find the key words in the title, that is, the title eye, that is, the words that appear in the image of the concept formula theorem you recited before, this is the title eye! Because when solving problems, where does our thinking of solving problems come from, that is, from what we have learned!
Note: this step is a little simpler than the previous step, because the topic is concrete rather than abstract, and it is a little easier to recite! But pay attention to the key point, which is the eyes in the example! Don't just remember the numbers inside, otherwise, you won't do it if you change the numbers!
3. Write the context of each step of the sample transformation.
After reciting the example, you can also distinguish the title of the topic and learn the steps to solve the problem. Next, you should mobilize your brain to think! You should write out the formula concepts involved in each step, such as finding the domain of the function, and remember the method of finding the domain. When you look for a domain, first of all, the open type under the quadratic root must be greater than or equal to 0, so there is lgx greater than or equal to 0, and because this is a logarithmic function, think about the image of the logarithmic function and find that the x value corresponding to the function value greater than or equal to 0 is the domain of this function!
Requirements: Make every step clear. If you don't know the transformation, you must ask. At this time, you can ignore the quantity and pay attention to the quality! This quality can really be written by yourself!
Note: the logical thinking of math problems is relatively strong, and every step should be analyzed. Don't stop writing just because you think you understand!
4. Do the example again (not recite the answer)
After you understand it, the next step is to really treat it as a new problem. You should examine the questions completely according to the method of doing new questions, find the problems, and then think about how to transform these problems, how to use the knowledge you have learned before, how to combine different knowledge, and then do this problem step by step. In the process of doing the problem, we should also pay attention to the error-prone points of calculation!
2. Methods to consolidate the foundation of mathematics
First of all, follow the teacher closely in class, listen carefully in each class and take notes in class. Some students prefer self-study after class to attending classes. This is extremely wrong, because the teacher's understanding of the college entrance examination and mastery of knowledge are far better than our self-study. Keeping up with the teacher is the most critical step to lay a good foundation.
For the study of the basic knowledge of textbooks, we strongly recommend that you use mind map, which can draw all the knowledge in textbooks into a tree layer, which is easier to understand and remember, and makes the knowledge points become a network instead of being isolated, which is much better than just reading books.
In addition, if you want to learn math well, it is really necessary to brush many questions, but can you really brush them? Although most students have done a lot of problems, their grades are still not good. The core reason is that the most important step is ignored, that is, summary and reflection. Every time you finish a question, you need to sum it up and ask yourself the following questions: what knowledge did it examine, whether it was mastered, where was the idea of solving the problem, what breakthrough was made, what kind of question type it belongs to, what common routines it has, and what methods should be used to solve it. Only by asking yourself a few more reasons can we really understand a problem and achieve similar problems.
The more questions you do, the better. You know, sea tactics are just means. Our ultimate goal is to deepen our understanding of knowledge, master problem-solving routines and improve the speed of problem-solving. If you don't summarize the problem, the effect of brushing more questions is not obvious.
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