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The practical questions are linked to reality, vividly reflect the quantitative relationship in the real world, and whether the quantitative relationship can be summarized from specific problems reflects a person's practical ability to analyze and solve problems.
In general, there should be several steps such as reviewing the problem, setting up unknown elements, solving equations, testing, and making conclusions.
Some students are scared when they see the application problem, and they don't know where to start the analysis, so let's talk about some basic methods of analyzing the application problem.
First of all, it is necessary to learn simple application problems, which is the basic skill of solving application problems. This is because compound problems are made up of several simple problems.
How do you analyze a compound problem? Due to the different thinking processes, there are two types of methods: synthesis and analysis. The comprehensive approach is to start from the known conditions and gradually introduce the problem to be solved; The analytical approach starts with the problem and works back to the known conditions.
For example: Hongye Garment Factory plans to make 66o sets of clothes, and has been doing it for 5 days, with an average of 75 sets per day. The rest should be done in 3 days, how many sets do you make per day on average?
Analytical analysis: how many sets are required to be done per day on average, it is necessary to know how many sets are left (unknown) and how many days to be done (known) for the remainder; To ask for how many sets are left, you must know how many sets you plan to do (known) and how many sets you have done (unknown); To ask how many sets have been made, it is necessary to know how many sets (known) and how many days (known) they have been done on average per day. In this way, the quantity relations in the new problem are found step by step, until the quantity relations required by the new problem are all known.
Analyze with comprehensive method: the question tells us that we have been doing it for 5 days, and we can find the number of sets made in 5 days; Knowing the number of sets planned to be done in 660 sets and 5 days, we can find the number of sets left; Knowing the number of sets left and the number of days left, we can find the average number of sets left to do per day. According to the known conditions given in the question, find the question that needs to be answered step by step.
When analyzing practical problems, the two methods are often used in conjunction with each other and flexibly. Use the comprehensive method to analyze the problem of taking care of the requirements at any time, and pay attention to the relationship between the known conditions and the problem; Analytical analysis should take care of known conditions at all times, and pay attention to the relationship between problems and known conditions. No matter what method is used to analyze the application problem, it is necessary to carefully examine the problem, understand the meaning of the problem, find out the intermediate problem (also called the key problem) by analyzing the quantitative relationship between the known conditions and the problem, and finally find the correct solution to the application problem.
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After memorizing the formula, find different exercises to do, be different, just apply more!
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Review the questions well, do more exercises, and train all kinds of question types.
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If you don't learn the problem well, it may be that your analysis is not enough! Therefore, when you look at the application problem again, you should carefully review the problem, look at every known condition, and ask yourself what is the use of this condition? What are the issues related to this condition?
Then go to the columns. I don't know if this will be useful to you, but that's how I learned anyway, so try it!
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If you want to learn primary school mathematics well and lay a good foundation, you must see more, think more, talk more, do more, link theory with practice, when doing application problems, teachers should guide students to carefully observe application problems, and use existing knowledge such as counting to directly obtain some surface information. Before reviewing the question, you must read through the Chinese characters of the question, understand that in the picture application problem, the surface information is mainly obtained through observation, and for the **** application question and the text application question, you can not see the reason, more reading can not only concentrate students' attention, but also deepen the student's impression of the structure and understanding of the topic. Moreover, teachers should teach students how to learn to draw inferences from one another, so that they can not only cultivate students' awareness of mathematics application and the ability to solve simple practical problems, but also cultivate students' spirit, flexibility and diversity of thinking.
Thoroughly understanding the principle is the fundamental guarantee for learning homework; Mastering the method is a powerful way to overcome difficult problems. Only by clarifying the principle can we think clearly and answer calmly; Only by mastering the method can we bypass the analogy and draw inferences from one another. Therefore, when teachers teach math problems, they should let students learn how to understand the problems and how to do them.
When teaching, a variety of narrative methods can be used to express the same type of problems to train students' comprehension ability, and they can also be required to summarize the application questions into text questions, and adapt the text questions into application questions to cultivate the ability of abstract generalization.
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First of all, we must understand the meaning of the topic correctly, so we must learn the language well, and if we can not understand the meaning of the topic correctly, how can we talk about solving mathematical application problems?
Once you understand the question, you will have the correct answer. Some need to make diagrams, some need to hypothesize, depending on the topic.
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Here's how to learn the problem well:
The first step is not to be lazy. If you're lazy, kid, it's unlikely you'll be able to learn math well. Read more books, use more pens, and use your brain.
The second step is to review the questions carefully. If you haven't read the topic completely, you can quickly draw conclusions on your own. As a result, it was found that it was wrong later.
If this is during the exam, there is a good chance that a lot of time will be lost. The so-called, sharpening the knife does not mistake the woodcutter, you review the topic, and then do it will not waste too much time.
The third step is to find out the variable relationships. What is a variable relationship? To put it bluntly, it means that you ask for what you want in the question asked for in the question, and you list the equation according to the meaning of the question. Sometimes there may be questions that don't wait for the big sparrow.
The fourth step is to simulate the scenario. Sometimes the questions are closer to life, asking you the most profitable, the most economical plan, and so on. You can imagine that now you are experiencing this in real life, and you think about how you solved it in real life?
The fifth step is to develop a good habit of checking. It is very important to develop a good habit in learning. Often, when you look back and check, you will find mistakes.
Step 6: Organize your notes. This should be the hardest to do and the hardest to stick to. If you can do it at this age, then congratulations to the child, your problem will definitely not be difficult for you.
Sort out the problems you have done and make mistakes, and use a red pen to mark out the mistakes you have made to warn yourself not to make the same mistakes again.
Precautions for doing application questions
1. Be careful of details: When doing application problems, you need to pay attention to details and check the details of each step, such as whether the units match, whether the data is correct, whether the calculation is accurate, etc. If there are detailed problems, it may affect the result of the solution and ultimately lead to a low score.
2. Error correction mentality: When the answer to the question does not match the result of your own deduction, you should stay calm and don't give up easily. You can check whether the calculation process and formula are correct or recheck the question to avoid mistakes due to misunderstanding the question.
3. Time mastery: To do practical problems, you need to pay attention to the control of time, and you should try to shorten the time for thinking to ensure that it is completed within the specified time, so as to avoid missing answers due to lack of time.
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How to learn middle school math well? What methods do I need to use?
Mathematics is a problem that many students are worried about, there are many students who have certain problems, and the score of this subject is very low, so how to learn junior high school mathematics well? Is there anything that can be improved?
Summary of knowledge. 1. Attend lectures.
For new knowledge, it is generally understood in the classroom through the teacher's narration, so you need to pay attention to the efficiency of learning, find the right way, the class needs to follow the teacher's lecture steps, actively understand the knowledge told by the teacher, need to find out what is the difference between your own thinking to solve the problem and the teacher, find that you need to improve in time, and need to review in time after class, so that you can not leave any difficulties. When doing homework, you need to think about what the teacher said in your mind, you need to correctly understand the calculation methods of various mathematics, and when you don't understand a certain problem, you need to calm down, and then conduct a comprehensive analysis, which can be answered under normal circumstances, which is the first step in how to learn junior high school mathematics.
2. Practice more. If you want to learn mathematics well, you need to do a lot of practice problems, fully understand the solution of various problems, you need to start with simple questions, generally take the content of the book as the correct answer, carry out repeated practice, you can do some extracurricular questions in your free time, help improve your thinking, you can prepare a side of the wrong question book, record the mistakes that have been written, and when answering questions, you need to concentrate your mind and enter the best state, and you can play super well in the exam. This is how to learn the second part of junior high school math well.
3. Mentality. For the exam, the mentality is very important, you need to comprehensively adjust your state and psychological state before the exam, let yourself maintain a calm attitude, improve your chaotic mood, you can do some practice questions before the exam, adjust your state to the best, you need to review before the exam, and if you have free time, you can browse your own mistake book, so that you will not make a second mistake, the review needs to be carried out comprehensively, this is how to learn the third part of junior high school mathematics.
Knowledge points so if you want to learn mathematics well, you need to work hard in many aspects, which is related to many factors, first you can find your own way of learning, and then understand the characteristics of this subject, so that you have a certain understanding, and then start learning, I believe that through this article you should know how to learn junior high school mathematics well!
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Hello, the application questions have high requirements for children's comprehensive ability:
1. First of all, children are required to be able to read the meaning of the question, and the ability to read and understand theory must be cultivated;
2. To understand the meaning of the question, you must also be able to combine formulas, theorems, numbers and questions to make columnar solutions;
3. In the process of answering, it is also required that there are no errors in calculation, which is also a test of children's calculation ability.
Therefore, if the child does not do well in the application questions, it is recommended to refer to these points, and strengthen the practice to control the child's shortcomings.
Mathematics education is not only to let children get good results in exams, the most important thing is to let children in the process of mathematics learning, understand the meaning and fun of mathematics, solve practical problems in life, cultivate mathematical thinking, and have a very important role in improving children's learning, life and work in the future, which is the true meaning of mathematics learning.
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1. First, skim the entire topic first.
Second, the accuracy of the topic, find out the known article layout.
Third, list the known conditional rights.
Fourth, solve.
2. Read the question again, and then list the conditions.
3. To start solving the problem, you can set the book to a total of x pages, and then find out the known correlation number step by step.
4. Then you can also use the method of not setting unknowns, and directly solve the problem according to the proportional relationship, such as the problem solving ideas in our books.
5. Finally, find the answer.
Precautions: 1. If you still don't understand the meaning of the question after reading it once or twice, you can read it several times to find out the key words of the question.
2. You can use the method of setting unknowns.
3. You can also use the relationship between the total number divided into several parts.
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The main problem is your logical thinking, and you should find out the relationship inside, such as the relationship between capital and interest, net income and principal income, and interest-free income, etc. Relationships are the lifeblood of application questions. Indirectly, you have to have a foundation in life practice, and the less you know about life, the less you know about these relationships.
Don't just limit yourself to textbook relationships.
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Collect the wrong questions and concentrate them in a book.,I won't look at it in the future.。
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In general, solving math problems is divided into the following steps:
1.Review the topic. 2.Analyze the question according to the problem.
3.Find equiquantitative relationships.
4.List equations (equations or systems of equations) or inequalities according to equiquantity relations5Calculate the result.
6.According to the actual situation, analyze whether the discussion results are in line with the topic.
7.Write an answer.
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I think it, the 45 minutes of class is very critical, and focus on understanding, most of the teachers feel that do more exercises, well, no need to buy special materials, the school will send it, as long as the above questions will be done, it's almost, really, I'm pretty good at math, but I never buy exercises to do, because it's too time-consuming, just remember the type of application problems, most of the questions seem to be thousands of miles apart, in fact, it's the same! It's true!
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Understanding analysis is one thing, but the formula should be memorized and applied flexibly. Be sure to understand and understand the example questions!
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In fact, as long as you listen carefully in class, study more, do more exercises, and slowly develop your ability to analyze problems.
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The most important thing is to learn to analyze the problem.
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Learning should be arranged with a simple and feasible plan to improve the learning method. At the same time, it is also necessary to participate in school activities appropriately and develop in an all-round way.
In the process of learning, we must: listen more (listen to lectures), remember more (remember important question structures, concepts, and formulas), read more (read books), do more (do homework), ask more questions (ask if you don't understand), do more hands (do experiments), review more, and summarize more. Use the method of taking class notes to focus on the lesson.
In other times, we must ensure the study time, ensure the learning quality of each subject, and not deviate from the subject.
Get enough sleep (8 hours) every day to ensure your learning efficiency.
Arrange appropriate free time for socializing with family and friends and other activities.
Through unremitting efforts, the results are improved and stabilized step by step. Do your best for the exam, be careful during the exam, and be calm when you sprint at the end. After the exam, you should summarize carefully so that you can study better in the future.
Right now: let go of the baggage, usually: study hard. Before the exam: prepare carefully, during the exam: don't give up, after the exam: normal heart. Remember!
Math is all about doing problems non-stop.
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