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I think you have to be familiar with these math knowledge points and have a special understanding of the basics to be able to solve all math problems without changing things. Looking back on the regret of going to school, the most uncomfortable thing for me is the subject of mathematics, because I only scored 59 points in the college entrance examination, and I didn't even pass, because the math problems are too difficult, but the top students in the class can indeed draw inferences from one another and solve all math problems. So in your opinion, how to practice and see a math problem, no matter how difficult it is, there is a way to solve it?
First, it is necessary to have a special understanding of the basics.
Although mathematics is not good, I still firmly chose science, in the science class I realized that people who learn mathematics well can go to what extent, although they have good academic performance, but they have one thing in common, that is, they have a special understanding of the basic knowledge, the basic knowledge involved in each math problem they can find exactly in which book, which page of content, it seems that if you don't have a special understanding of the basic knowledge, you can't do it. <>
Second, learn to draw inferences from one another, and you must have a flexible mind.
In addition to the basic knowledge of the special understanding, their minds are very flexible, we often only learn the example problems taught by the teacher when we listen to the class, but they have learned this type, can be proficient in application, and can also draw inferences, which is equivalent to saying that we have learned a problem, people have learned the same type of problem, so that we can never catch up with their solution ideas! <>
Third, cultivating mathematical thinking is the key to solving problems.
I think this has a lot to do with the mathematical thinking they have cultivated for a long time, and the access point they start with when they see math problems is completely different from ours, which is the way of thinking they cultivate after brushing a large number of problems, so if they want to learn mathematics well, they must be inseparable from brushing problems. <>
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Brush up on the questions. The ancients said: "Read more than 10,000 volumes, and write like a god", the same is true for answering questions, only by brushing more questions and doing a sufficient number of questions, you can do each question with a solution idea.
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First of all, we must do more questions, then learn to summarize and summarize, and then refine a set of our own thinking patterns, so that we can do it.
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Ask students who are good at math for advice and learn their ideas for solving problems. Conscientiously complete the tasks assigned by the teacher and study the knowledge in the textbook well. Buy some workbooks and use your spare time to brush up on questions.
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I think the best way is to practice a lot of questions, only in this way can you see the situation of a question again, think of the relevant knowledge points, after thinking of the relevant knowledge points, you can easily do it.
I believe that many people are depressed when learning mathematics, after studying for a long time, they still can't get the improvement of scores, the most important thing in learning mathematics is to have a lot of basic knowledge, and when you see a problem, you can use simple methods to make it, and you can classify all the problems into different types.
For the study of mathematics, in fact, summarizing is a very important idea, because in the case of seeing a lot of problems, learning to summarize can allow you to have a very fast idea when you see this type of problem in the future. <>
For mathematics, in fact, it is necessary to have a foundation, and solid knowledge can make one's academic performance higher, because solid basic skills can make oneself think of more knowledge when seeing any topic, and can integrate different knowledge points. <>
For many students, it is indeed very difficult to learn mathematics, when learning mathematics, as long as the key knowledge points are mastered, and then a large number of exercises are added, you can let yourself get ideas in the case of the problem The knowledge points of mathematics are actually the least, and there is no need to memorize when learning mathematics, you only need to classify different topics into different types, you can learn better. <>
When learning any knowledge, in fact, there are tricks, for the study of mathematics, it is necessary to master the basic knowledge, in the case of mastering the basic knowledge, you can practice a large number of problems, and it is the most effective learning method.
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Do more questions, think more, learn to use formulas and theorems flexibly, and understand where these formulas and theorems are generally used and what they do. That's it.
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I think you need to classify different math problems into different categories when you do them, and you can practice this kind of skill.
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When you usually do math problems, you should think more, use more methods to solve problems, and summarize experience.
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I think you need to categorize different math problems into different categories when you're doing them. You can practice this skill.
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First of all, you must brush up on more questions, do more math problems, and secondly, ask teachers for advice.
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Let =. Add as few sets as possible, complete the set family =, to get -algebra. Answer: At least increase ,
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This shows that you yourself have no ideas when solving problems, and you always follow the ideas of others, that is, you think less about problems.
If you really don't know how to solve the problem, then after reading the answer, you can understand that this is not the end! In fact, your impression is still not deep enough, or you don't understand it deep enough, at this time, you need to understand it independently! You can consider making a similar problem on your own!
Don't just change a few values, that doesn't make sense. The specific question depends on your own understanding of the problem!
You can consider giving it a try for other students! Test your ability to come up with questions!
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Mathematics problem solving is a knowledge review process, understand the answer but will not solve the problem before It means that you do not have a deep understanding of the knowledge you have learned, the so-called more problems, is to form a conditioned reflex, see a certain type of problem to know what kind of knowledge to solve.
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The main thing is that the basics are not solid. If you don't practice much, it will be good to practice more!
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You should think about it and do more math is what you do, and you can just look at it and have an idea, and I was good at math when I was in high school, and everything else is average, so I still have to work hard, come on.
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It's very simple to have an idea, when you stand tall enough, you can see far, and you have to deduce the possible methods according to what you have learned.
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I don't understand the topic, what is the topic looking for, what kind of knowledge point is the topic, and what is the amount of this knowledge point.
That's pretty much it.
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This belongs to the reason why you have not calmed down, doing math problems is like peeling off the cocoon, calculating or extrapolating math problems step by step, of course, you must have a foundation in mathematics, and with care and perseverance, you will definitely be able to do well.
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a >=2008
The absolute value is removed.
a - 2007 + root number (a - 2008) = a root number (a-2008) = 2007
Square on both sides. a - 2008 = 2007^2
a-2007^2=2008
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a >=2008>2007
The absolute value is removed.
a - 2007 + root number (a - 2008) = a root number (a-2008) = 2007
Both sides are squared at the same time, and it can be obtained.
a - 2008 = 2007^2
a-2007^2=2008
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Quiz everyone: This is a math problem that can measure whether a person has business acumen.
Master Wang is selling fish, a pound of fish at a price of 45 yuan, now a big sale at a loss, the customer bought a kilogram for 35 yuan, gave Master Wang 100 yuan fake money, Master Wang has no change, so he asked a neighbor for 100 yuan. Afterwards, the neighbor found out that the money was fake in the process of depositing money, and it was confiscated by the bank, and Master Wang lost 100 yuan to the neighbor, how much did Master Wang lose in total?
Note: kg vs. kg.
A total loss of 100 + (45 2-35) = 100 + 55 = 155 yuan.
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Because ABC and DBC are the same base and the same height.
So they are equal in area.
So the area of AOB is equal to the area of COD.
So the area of AOB is 6
Because the ob of cod and cob is equal to the height of the od side, their area ratio is equal to the base ratio.
So the ratio of OD to OB is 6:12 1:2
Because AOD and AOB are equal to the height on the OD side, their area ratio is equal to the base ratio.
So the ratio of the area of AOD to AOB is equal to OD and the ratio of AOB to OB is 1:2, so the area of AOD is equal to half of the area of AOB 3, so the area of the other two triangles is 3 and 6
Junior high school knowledge answers:
Because s ocd:s ocb od:ob
So od ob 6 12 1 2
Because of AD BC
So AOD Cob
So s aod: cob (od ob) 2=1 4 so s aod: 12 1 4
So S aod 3
Because s aob: cob oa oc od ob so s aob: 12 1 2
So S AOB 6
So the area of the other two triangles is 3 and 6
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Because the trapezoidal AD bc abc is equal in height to dcb and both the bottom edges are bc, the area is equal sabo=sdoc=6
Passing the O point is a body type of hypercross AD and BC in E, F
of=12*2/bc ef=(12+6)*2/bc of/ef=2/3 oe/ef=1/3
In the same way, saod sadc = 1 3 saod = 3
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The area of the triangle abc = 1 2 * bc * height, the same triangle dbc = 1 2 * bc * height, so the triangle abc = triangle dbc = 18
Triangle abo=6
As can be seen from the figure, BOC OCD=12 6, then BOOD=2, AOD=1 4*BOC=3
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Let the OAD area of the triangle be S1 and the OAB area be S2, then we can know that S2=6, and only S1 is requiredLet the trapezoidal height be H, and the point O to AD is H2, to BC is H1, H=H1+H2
From 1 2 bc*h=18 1 2bc*h1=12 h1=2 3h h=1 3h from ad*h2=s1, s1=3
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I think that if you are in junior high school and you have less homework, you can spend more time thinking about it, after all, it will be more impressive if you do it yourself. If the time is tight in high school, you can be flexible according to the situation: if you can't solve all the possible solutions to this type of problem, then it means that this question should be a skill question, study the answer and then write it down and ask the teacher, and then do a few more similar questions to remember the method.
Our teacher in the third year of high school asked that the answers were only used to check whether the answers were correct, not to replace our own thinking. Some answers are not the easiest and best solutions, and you need to think for yourself.
I think that for a question, the thinking time is half an hour (of course, if you have enough time, you can think about it for a while), and if you still have no ideas for more than half an hour, don't waste time. We need to spend our time where it's best to do it. This is especially true of mathematics.
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Look at the answers decisively, don't waste time, and learn to be more efficient.
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