Methods and skills of solving problems quickly in senior high school mathematics
Examine the questions carefully.
The first step in examining questions is reading, which is a process of obtaining information and thinking. Read the topic carefully, pay special attention to the inner meaning of each sentence, and find out the implied conditions.
Some students have not developed the habit of reading and thinking, and they are very anxious. As soon as they were anxious, they began to solve the problem. As a result, they often miss some information and spend a long time trying to solve it, but still can't find the reason. They think quickly but slowly. Therefore, we should pay special attention to the actual problem-solving and carefully examine the questions.
Demonstration calculus method
According to its adaptability, it can be divided into two levels: the first level is the solution with wide adaptability, such as elimination method, method of substitution, induction method, undetermined coefficient method, induction method, identity method and mathematical induction method, that is, recursion method, coordinate method, triangle method, combination method of numbers and shapes, construction method and collocation method;
The second level is the problem-solving skills with narrow adaptability, such as factorization, split term method in factorization, chasing point method in function drawing, five-point method in trigonometric function drawing, truncation method, complement method in geometric proof, split term elimination method in sequence summation, etc.
Answer questions in a limited time, speed up first and then correct them.
An important reason why many students are slow in doing problems is that they are used to procrastinating in doing homework, which leads to a bad habit of solving problems. Therefore, to improve the speed of solving problems, we must first solve the "procrastination". A more effective way is to answer questions in a limited time. For example, when doing math homework, you should give yourself a limited time. Regardless of the correct rate, you should first ensure that the math homework is completed within the specified time, and then correct the mistakes. This process has a good effect on improving writing speed and thinking efficiency. When you get used to thinking and writing faster, the speed of solving problems will naturally increase, procrastination will be corrected and your grades will improve.
Learn to draw.
Drawing is a process of translation, which turns abstract thinking into thinking in images when solving problems and reduces the difficulty of solving problems. Some topics, as long as the diagram is analyzed, the relationship will be clear at a glance. Especially for geometry problems, including analytic geometry problems, if you can't draw pictures, sometimes you can't start at all.
Therefore, it is very important to keep in mind the basic drawing methods of various questions, the image and significance of various functions, and the evolution process and conditions to improve the speed of solving problems.
Routine and Skills of Solving Maths Problems in Senior High School
1. Thought refining method
Give birth to inspiration to solve problems. "Without problem-solving ideas, there is no problem-solving inspiration". But "problem-solving thinking" is both familiar and unfamiliar to many students. Familiarity is because the teacher talks every day, and strangeness refers to what it is to come uninvited. Students are advised to do more typical math problems under the guidance of teachers, so that they can master them quickly.
2. Typical problems are better than methods
Grasping the "28 rule" of key test center management says that 20% of important work produces 80% of the effect, and 80% of trivial work only produces 20% of the effect. The same phenomenon also exists in mathematics learning: 20% of key topics and topics concentrated in test sites contribute as much as 80% to test scores. Therefore, to improve math scores, we must give priority to those 20% questions. In view of the phenomenon that many students "have too many answers to the questions, they can't learn them thoroughly", we should use our brains scientifically, so that the typical questions in each chapter are fully prepared and they will be handy when solving problems.
Step by step error correction method
The "barrel theory" in the management of consolidating weak links says that the water quantity of a barrel is determined by the shortest board, not by the longest board. The same is true of learning mathematics, and the results of mathematics exams are often greatly affected by some weak links. Therefore, it is more important to consolidate a weak link than to do a hundred questions correctly.
Matters needing attention in solving math problems in college entrance examination
1. Choose a topic and avoid sea tactics.
Only by solving high-quality and representative problems can we get twice the result with half the effort. However, the vast majority of students have not been able to distinguish and analyze the quality of the questions, so they need to choose exercises to review under the guidance of teachers to understand the form and difficulty of the college entrance examination questions.
2. Analyze the topic carefully
Before you solve any math problem, you must analyze it first. Analysis is more important than more difficult topics. We know that solving mathematical problems is actually to build a bridge between known conditions and conclusions to be solved, that is, to eliminate these differences on the basis of analyzing the differences between known conditions and conclusions to be solved. Of course, in this process, it also reflects the proficiency and understanding of the basic knowledge of mathematics and the flexible application ability of mathematical methods.
3. Make a summary of the topic
Solving problems is not the goal. We test our learning effect by solving problems, and find out the shortcomings in learning so as to improve and improve. So the summary after solving the problem is very important, which is a great opportunity for us to learn. For a complete theme, the following aspects need to be summarized:
Intellectually 1. What concepts, theorems, formulas and other basic knowledge are involved in the topic, and how to apply these knowledge in the process of solving problems.
2 in terms of methods. How to start, what problem-solving methods and skills are used, and whether you can master and use them skillfully.
Can you sum up the types of questions and then master the methods of solving such questions?