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How to solve mathematical problems
Students, when you encounter a math problem, do you pull a long face and give up? Or are you eager to ask others for help? I used to be like this. Now, with the help of teachers and parents, I have completely changed my previous thinking and can solve math problems independently. Now, I will tell you how to solve the math problem and share it with you. Confidence in yourself is the premise. Some students don't even read the questions with "*" in their textbooks, thinking that the questions will definitely be difficult to improve, and it's useless to read them. I won't do it anyway. As the saying goes, "The brighter the mirror, the smarter the brain." If you don't seriously think about this difficult problem, you will waste an opportunity to exercise your brain. If you have confidence in yourself, you will think hard about difficult problems and your mind will become flexible. Therefore, we must have confidence in ourselves when solving difficult problems, so that we can consider the following solutions. Not only do you have confidence in yourself, but more importantly, you must master some basic knowledge, and you must memorize, understand and master the concepts, definitions and formulas in the book. These basic knowledge plays a key role in solving mathematical problems. When you encounter a math problem, you should first carefully examine the problem and find out its meaning. That is, when we see a problem, we must read it carefully and thoroughly understand the meaning of the problem before we start writing. In this way, it is not easy to make mistakes in solving problems. That's what "sharpening a knife does not mistake a woodcutter" said. Secondly, I will consider how to solve the problem. Below I will summarize and analyze several methods I have adopted to solve application problems as follows: (1) Line drawing method: Draw a line drawing according to the given known conditions in the topic, and the quantitative relationship in the topic will be intuitively expressed on paper, which can inspire us to think about the relationship between "known" and "unknown" and help us answer questions. (2) Synthesis method: Starting from the known conditions of multi-step application problems, two directly related known conditions are selected to form a simple application problem, and the answer is obtained; Take the obtained answer as a new condition, then form a new simple application problem with another known condition, and then get the answer; Step by step, the last simple application problem is this application problem. For example, we often use the prompt "I know-and-"in books to express this idea. (3) Analysis: From the last question of the application problem, find out two conditions needed to solve this problem, take this unknown condition as a new question, find out two conditions needed to answer the new question, and then compare the questions to see if they are all directly known conditions; Before finding all the known conditions, the book often uses the prompt "requirement-"to express this idea. Finally, check and write the answers. This is also an extremely crucial step. If the method is understood and the answer is written wrong, it will be a waste of effort, which is a pity. Learning needs one step at a time, and so does solving math problems. There is no shortcut. As the old saying goes, "there is a way to learn in the mountains, but there is no cliff to learn." As long as you have a solid basic knowledge and master the correct method of solving problems, any problem can be solved easily. It helps me!