Derivative learning method in high school
1. High school mathematics begins with set, which is one of the main languages in high school. If you want to represent the range area, you have to use a set or interval to represent it. In this case, set is only a basic point of mathematics. How can I learn set well? In fact, set is very easy, set is a bunch of things together, for example, all numbers less than 0 can be used {x
We should mainly pay attention to the properties of empty sets and sets.
2. Then we enter a part of the function. For functions, first distinguish the images of basic elementary functions, as shown in the figure. Then draw a picture on the draft paper to find the feeling. When doing the problem, draw the function that the problem can be drawn, and then analyze it according to the image of the function. In this way, it is easier to find the relationship between them. Of course, the premise is to draw the function accurately.
As for derivative function, clarify the geometric meaning of derivative. The first derivative is the slope of the function and the second derivative is the concavity and convexity of the function.
3. Then it is more difficult to analyze geometry and solid geometry. Don't be afraid of trouble when analyzing geometry, make clear the relationship and calculate slowly. Although the amount of calculation inside is not small, the idea is simple. At the beginning, it is ok to solve a problem even if it takes an hour or two. Don't think it's a waste of time. This is practice makes perfect. If it is solid geometry, we should pay more attention to our spatial imagination. You can find more cubes and cones to see. Here's the trick.
Suggestions on Derivative Learning in Senior High School
1. Listen carefully in class and record the examples given by the teacher in class. When you understand them in class, you don't need to see them after class. If you don't understand anything in class, put a mark beside it. Ask your classmates or teachers in time after class, and then understand. In short, learning is the process of constantly solving some problems. Don't accumulate problems. The more you accumulate, the worse your math will be. Don't be afraid of questions.
2. Don't use sea tactics, high school instruction books are everywhere, and the quality is mixed. Generally speaking, schools will be equipped with counseling books or exercises, which are generally carefully selected by teachers collectively. Understand exercises, textbooks and lesson examples, so that the final exam, monthly exam and even college entrance examination are all a piece of cake for us.
3. The learning process is gradual. If you are really bad at math, I suggest you read all the formulas and theorems first, understand the ideas and memorize them. Then do some basic questions. When the accuracy of the basic questions is good, then do intermediate questions and finally solve the problems.
4. Have a good attitude. Don't think that I can't handle difficult problems, do something simple. This will only lead to the unwillingness to do simple questions and the inability to do difficult ones, which will indirectly lead to low test scores. Be confident. After studying for a period of time, you will get good grades in a monthly exam, which will increase your self-confidence. God helps those who give, and you will be rewarded.
How can we learn high school mathematics well?
Guarantee basis
The foundation of mathematics learning is the key. If you don't even understand the basic concepts, definitions and formulas, how can you learn well? So the first step is to lay a good foundation!
Do a lot of problems
Few people in mathematics can infer from others. Many people learn to draw inferences by doing a lot of problems. If you want to learn high school mathematics well, you can't do it without doing the problem! But don't do it blindly, learn to do it! So how do you do math problems?
At first, you only do the basic medium, and it is more difficult to do it when you are skilled enough.
If not, we must overcome it in time, which can be in the form of a special topic.
I want to do some real college entrance examination questions.
Adhere to the total score problem-solving mode, first do a comprehensive test paper, then find problems from the test paper, solve problems, and then do a comprehensive test paper!
Be diligent in reflection
It is absolutely impossible to learn mathematics without reflection. How to reflect?
First of all, reflect on what is wrong and why?
Second, why do you think so instead of yourself?
Third, is there a simpler and more subtle way to reflect it?
Be good at summing up
At the end of reflection, you must write down your achievements so that you won't forget them again. What did you sum up?
First, summarize the ideas and methods of a certain kind of problem.
Second, summarize the simple and efficient problem-solving skills of a certain kind of problem.
Third, sum up the experience of failure.
Be flexible
Flexibility here means learning to solve problems flexibly. You can't say that you can't think if the topic changes slightly. We should get to the root of the problem!
In short, there is no shortcut to math learning. If you want to learn high school mathematics well, hard work is definitely indispensable! Come on!
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