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Paulia's four-step problem solving method
How to solve polya: a new aspect. Mathematical methods)

1. Understand the problem thoroughly: In order to ensure a real understanding of the problem, you'd better rephrase the problem in various forms in your own words, but forget to point out the backbone of the problem: what is the solution? Know what? What conditions need to be met? People who can draw can draw.

2, form a problem-solving idea: to focus on the past experience, have mastered the knowledge, adjust the applicability, form ideas. If it doesn't work, then change the components of this problem: known, unknown and condition. First, construct a simpler one, introduce assistance, whether the conditions are sufficient or even change the unknown, and see if we can find clues to solve the problem. Until you find a similar problem that you have solved.

3. Execution: First, be patient, and second, check every step in time, which can be proved by intuition or proof (both are useful, but different). Have you checked every step? Can you see that this step is right? Can you prove that this step is correct?

4. Summary: Consolidate the key to promotion, think more, demonstrate again, try another scheme, find a brighter and simpler method, and ask, where can this scheme be used? Summary is the best time to start the law. ?

Five steps to Daglio's success:

1, setting goals: Setting goals means setting what you really want to achieve, and don't think about whether you can accomplish it.

2. Find the obstacles to achieving your goals: this requires the external self. The thinking of "meta-ego" helps to "watch" difficulties objectively and detached, so as not to be entangled by "ego" in the face of difficulties.

3. Diagnose the problem and make a plan: Diagnosing the problem is to diagnose the problem, and don't think about how to solve it. From the end, we should think through the possible problems and solutions, and present the problems of how to get to the present and how to take the next step in a panoramic way, just like writing the script of Prison Break.

4. Make a list of tasks to solve the problem: break down the target, which can be executed. The finer the task, the better.

5, resolutely carry out the task, but don't forget your initiative, don't forget the goal.

Then these five steps are iterated repeatedly.