1, familiar with the basic steps and methods of solving problems.
The process of solving problems is a process of thinking. For some basic and common problems, predecessors have summarized some basic problem-solving ideas and common problem-solving procedures. Generally, as long as you follow these ideas and steps, it is often easy to find the answers to the exercises.
2. Carefully examine the questions.
For a specific exercise, the most important part of solving the problem is to examine the problem. The first step of examination is examination, which is a process of obtaining information and thinking. Read the questions slowly, think while reading, 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.
3. Make a summary.
After solving a certain number of exercises, the knowledge involved and the methods of solving problems are summarized, which makes the thinking of solving problems clearer and achieves the effect of giving inferences by analogy. Similar exercises can be seen at a glance, which can save a lot of time in solving problems.
4. Be familiar with the contents involved in the exercise.
Solving and doing problems is only a link in the learning process, not the whole learning. You can't solve a problem for the sake of solving it. When solving problems, the clearer our concepts are, the more familiar we are with formulas, theorems and laws, and the faster we will solve problems.
Therefore, before solving problems, we should familiarize ourselves with, remember and distinguish these basic contents by reading textbooks and doing simple exercises, correctly understand the essence of their meanings, and then do the following exercises all the time.
5. 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.
6, easy first, then difficult, and gradually increase the difficulty of the exercises.
The process of people's understanding of things is from simple to complex. There are many simple problems to be solved, so as to have a clear concept and be familiar with formulas, theorems and solving steps. When you solve problems, you will form jumping thinking, and the speed of solving problems will be greatly improved.
When learning, we should first solve those seemingly simple but important exercises according to our own ability, so as to continuously improve the speed and ability of solving problems. With the improvement of speed and ability, and gradually increase the difficulty, you will get twice the result with half the effort.