1, determine the goal of solving the problem:

Before starting to solve a problem, we should first make clear the goal of solving a problem, such as finding the root of a specific equation and finding the maximum or minimum value of a specific function.

2. Analyze the problem:

Read the topic carefully and understand the conditions and requirements in the topic. This may include identifying known conditions, unknown conditions, constraints, etc.

3, formulate strategies to solve the problem:

According to the characteristics and requirements of the topic, choose the appropriate solution. This may include algebra, geometry, calculus and so on. Make sure that the selected method can solve the problem.

4. Write down the steps to solve the problem:

According to the selected problem solving method, the problem solving process is divided into several steps. Each step should clearly and concisely describe the development of the problem and the formation of the solution. Make sure that the correct formulas and theorems are used in each step.

5. Check the answers:

After completing the problem-solving process, check whether the answer meets the requirements of the topic. This may include checking whether the answer is an integer, whether a given condition is met, and so on.

6. Summary:

For complex or general problems, we can sum up the main points and skills in the process of solving problems, so as to solve similar problems faster in the future.

Problem solving skills:

1, from front to back, easy first, then difficult.

Test questions are usually distributed from easy to difficult according to each question type from front to back. Therefore, when solving problems, we should answer them from small to large, from front to back. Of course, sometimes you can't follow the steps mechanically. When there is a problem in the middle, you can jump over first, and then attack or give up. Get the easy score first, don't "go to the black alley". The general principle is easy first, then difficult, multiple-choice questions first, fill in the blanks, and then solve the problem.

2, grasp the "one fast and one slow".

The so-called "one fast and one slow" means that the questions are slowly examined and the questions are quickly done. After you get the test paper, don't rush for success, answer immediately. The topic itself is actually all the information sources of this topic, so when examining the topic, we must read it word by word, and strive to truly see the meaning of the topic from grammatical structure, logical relationship, mathematical significance and other aspects.

3. Different types of problems are treated differently.

When making multiple-choice questions flexibly, we must follow the principle of "making a mountain out of a molehill" and use indirect method, direct method, special value substitution method and exclusion method together to improve the efficiency of solving problems while ensuring correctness. Fill in the blanks carefully, first, qualitative concept judgment, second, quantitative reasoning calculation, appropriately improve the operation speed, but the problem-solving process should be "100%".