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First of all, I understand some basic property judgments, geometry is usually pushed by these properties, the key is to see if the auxiliary line can be done, but there is no skill to do the auxiliary line, only rely on your own feeling of doing more exercises.
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Memorize the law. Do more exercises.
Draw the picture several times to clarify the connections between the line segments.
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Grasp the basics, junior high school geometry is not difficult, is to find parallelograms in the parallelogram in the diagram! Then use the parallelogram properties to solve the problem, or vice versa. Just grasp the basics and be proficient!
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Do more and practice more, **will not make up**, start from the very basics, it is best to find a tutor to help.
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Take a good look at the first few chapters of geometry and figure it out.
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Look at the pictures more and have a spatial imagination!!
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I don't think there's a good way to do it.
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Concepts are important to read more memorized.
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1. Familiarity with the law is the basic requirement, and then to understand the basic figures, such as a line of three equal angles and the like;
2. Select some more representative example questions, if the example questions cannot be made independently (it takes too long), find a few deformed questions to do, and the tactics of the sea of questions are not recommended.
3. Some test-taking skills: redrawing the picture by yourself will be very helpful to clarify your thoughts; For proof questions, don't worry if you can't do it, and it will be solved soon after thinking clearly; For the comprehensive problems involving calculations (the last three questions), you can consider the algebraic method, although it is complicated, but there is no way to do it...
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To understand the definition, start with simple geometry problems, step by step. Then do the more difficult ones, and do more questions.
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Nowadays, many children are not able to learn geometry in junior high school, this is because geometry requires spatial imagination ability, but now children receive test-oriented education, so children's imagination is limited to development. Therefore, when teaching children to learn geometry, the teacher should make a model, so that the child can have a memory point and the child can learn geometry. And the teacher can also tell the children some skills for learning geometry, for example, when doing problems, we can draw a model on scratch paper, and then imagine according to this model, so that we can make geometry problems.
Geometry problems are very difficult to do, and it is understandable that junior high school students will not learn them.
First of all, we must understand that geometry problems are very difficult to do, and it is understandable that children will not be able to learn them, and if children are particularly difficult when learning geometry, then parents should also help their children. Parents can buy a geometry course for their children on the Internet, so that their children can learn well and make these problems without encountering particularly difficult difficulties in learning. And parents can also invite a parent for their children, so that their children can learn from the tutor, so that they can also learn well.
The teacher should teach the child some tips for doing geometry problems.
We need to know that China implements test-oriented education, so children only need to get the questions right. When doing the problem, we can draw the figure of the problem on the scratch paper, so that we can analyze the problem according to the graph, and it is not too difficult to make the problem. And we can also discuss with the teacher when we are doing the problem, so that the teacher can tell us that we should start with the **, so that we can also make the problem, and it will not be impossible to do.
Summary. There are a lot of skills in doing geometry problems, and as long as I can master these skills, I will be able to make the problems without being too difficult. Therefore, we must do more questions, so that we can summarize a lot of problem-solving skills and experience, and we can quickly make geometry problems during the exam.
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Because geometry requires spatial imagination ability, but today's children receive test-oriented education, so children's imagination is limited to development, and children have not mastered the skills of learning geometry, so most junior high school children do not learn geometry well.
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There are so few math classes in junior high school that children don't have time to communicate with teachers. Geometry is more difficult, and students get bored. There are few learning materials about geometry, and children are rarely exposed to geometry exercises.
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It is because of the lack of imagination and the lack of three-dimensional space learning that there is no way to master it well.
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Geometry in junior high school is not difficult, but the auxiliary line is difficult to make, and it is much easier to make the auxiliary line.
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For the basic knowledge in the books, we must master it very thoroughly, which is the basis and basis for solving the problem, and only by mastering it proficiently can we solve more difficult problems. Follow the teacher's train of thought in class. In class, you must listen carefully to the teacher's explanation, especially the steps to solve the problem, this is the best shortcut, and then imitate it more for your own use.
Learning geometry is also necessary to think more, think about geometric structures, summarize the ideas of problems, and solve problems.
The difficulties and doubts in mathematics learning are often difficult to figure out for a while, so if you can discuss them with your teachers and classmates. It's easy to get a satisfactory answer. Actively asking questions and discussing them with classmates can sharpen your mind and enrich it.
Mathematics learning needs to take the initiative to learn, to explore, to acquire, so that knowledge can be truly acquired. In the process of studying, it is necessary to carefully study the content of the textbook, raise doubts, and trace back to the source. For each concept, formula, theorem, it is necessary to understand its ins and outs, antecedents and consequences, internal connections, as well as the mathematical ideas and methods contained in the derivation process.
In the process of study, we should be good at combining knowledge with practice and applying it to practice, only in this way can we discover the deficiencies in the study and make up for the shortcomings in the study. The time spent solving the problem should be no less than 70% of the total mathematics learning time. In the process of problem solving, it is necessary to master the basic knowledge and the steps and skills of solving the example problems, that is, to master the tools before doing it.
The exercises should be rigorously reasoned, logical, well-founded, and formatted, and the whole process of solving the problems should be well-founded step by step.
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First of all, mathematics is about logic, and the final conclusion is supported by perfect logic. Practice questions must be done more often, which will help to exercise logical thinking. For exams, the test is actually a question type, so if you do a lot of one question type, figure it out, and encounter a new question, as long as the body shape is like, even if it is a set, you can get a result.
Of course, this is the next strategy to cope with the exam, it is best to be flexible, solve math problems, not master every step of answering, the core is still thinking logic, so that for a certain type of question extended from other question types, or when many question types intersect with each other, it is more comfortable to deal with. To put it simply, I don't know the answer to this question, but I know how to get the answer, so it makes sense.
Logical thinking ability, also known as problem-solving ideas, needs to be mastered slowly through continuous practice. If you say that there is no idea, I suggest you do reverse deduction. For example, after answering a question, after reviewing the question, you have a general idea of what kind of conclusion can be drawn from the conditions that have been given, which is a test of basic knowledge.
Then look at what arguments the topic requires to prove, at this time, you need to know what basis is needed to prove this argument, and then what conditions are needed to get this basis, step by step, after the general framework is available, and then combine the existing conditions to deduce these unknown conditions, generally speaking, most of the question types can achieve the purpose of solving through this method.
You don't know how to do the auxiliary line you are talking about, first of all, you need to know what kind of conditions you need to get, what kind of auxiliary line can help you get the corresponding conditions, so that there is the meaning of doing auxiliary lines, of course, some difficult questions even if you do auxiliary lines need many steps to deduce, and even need multiple auxiliary lines, but you can do a few more attempts, as long as you have a purpose, not a blind line, even if it is wrong, at least you can help yourself eliminate a wrong line, In this way, you can always find the right way to do it after many mistakes, and at the same time, after accumulating enough practice, you will even have some intuition for the auxiliary line, and you can find the most correct way to draw the line with the least detours. This requires a good grasp of basic knowledge such as axioms, theorems, and formulas, and with more practice, you will gain your thinking ability while consolidating the basic knowledge.
To sum up, you must do more questions, but don't be rigid, and focus on thinking when doing questions. After all, the same steps only apply to the same question type, but the question types are ever-changing, and you can't expect to master every question type, that makes no sense, and it is still not possible to encounter a new question type. So, the mindset of learning how to solve problems is central.
Similar to the problem of auxiliary lines, don't be afraid to try, you should try more in practice, this is what all students have to experience, no one is born with all the auxiliary lines at one time, that is all exercised in continuous mistakes and corrections.
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Middle school geometry proof questions are the most interesting topics in mathematics. I remember when I was learning this content, we rushed to do it as soon as the teacher came up with the question, and sometimes we forgot to eat it. There is an indescribable joy in the heart of the certificate, and there may be unexpected gains from the answers with classmates, because there are several ways to prove some proof questions!
Come on, students, first of all, memorize the basic knowledge of geometry, don't be afraid of difficulties, and believe that you can do it. Of course, it may be a little slower at the beginning, and it will take a little more time to become proficient, but when you become proficient, you will naturally be faster, and you will have a sense of accomplishment when you are done. Happy learning!
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At that time, the teacher also had to leave a difficult geometry problem after class.
The solution is to read the book and do the questions! You must read more extracurricular books, learn some common methods of basic graphics and auxiliary lines, and then do the problems by yourself to consolidate. The triangle part is solid, and the back is all the way, and the polygons, circles, similarities and other shapes can be handled easily.
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Carefully study the example questions in the textbook, the example questions and exercises that the teacher focuses on in class, and clarify the ideas and methods, not just do them.
Exercises need to be done, but not only focus on the quantity, but also think about the ideas and methods of doing the questions, and practice more will be good Good luck!
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I'll tell you what I think:
Note that since it is a "more difficult" question left by the teacher after class, then the mentality should be correct: "My geometry problems are not very good, and these questions are relatively difficult, then I should try to solve them, but even if I can't answer them, I should not be discouraged." “
Problem solving is a kind of practice of specific knowledge, which is a kind of "output". "Output" is a great way to really grasp knowledge. Therefore, the questions must be practiced more.
It's useless to just do the questions without summarizing. I think that when the top students are doing the questions, they are already subconsciously summarizing the rules. For most people who are not so sensitive to geometry problems, they should subconsciously take the initiative to summarize the rules.
If you have a "law" from a teacher or other means, then do more questions to confirm it, and turn "other people's laws" into "your own laws".
If not, then do more questions to summarize your own rules, or the name of the popular point is "routine", and "routine" is a good thing many times.
When you haven't summarized the rules, you will feel that there is no trace and you are very distressed; Once I think about it too much, a flash of inspiration and a pattern comes to mind. This process is a test.
Like some proof questions, maybe you can work backwards. "To prove that this is equal to this, then I have to prove that that wait for that, so how do I prove that that waits for that? Extrapolating backwards in this way may turn the problem into an easier one.
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Do a good job in typical questions, think more with your brain, carefully sort out the wrong questions, take the initiative to ask teachers and classmates if you don't know, practice a lot, you will, I wish you good results.
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First of all, doing more questions to cultivate proficiency is a method that can be adopted, and the other is to.
Think more about the role of auxiliary lines.
Usually because of the lack of conditions given by the surface, we need to lead one or more auxiliary lines to help prove or calculate, so it is conceivable that the auxiliary lines cited are often the center of the figure, the center line, the line that passes the center of gravity, or the line perpendicular or parallel to an important line on a certain side to play a role.
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The conditions of the problem derive some relationships, and then combine them to combine other conditions to spell the same as a tangram.
For example, if the midpoint C of the line segment AB is in the middle point, then AC=CB
The circle o tangent ab, a is the tangent point, then oa is the radius,
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It is indeed the king to do more questions, but don't do the questions blindly, first summarize the knowledge points and problem-solving skills from the wrong questions, and it is recommended to do the relevant "Draw Inferences from One Another", so that you will be well understood.
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Geometry questions are a line of thought and a three-dimensional sense of space, more questions are the best way, the question is more than the same type of exam is not afraid, and brushing the question can also exercise your thinking ability, but remember a question has not been able to think of when don't keep thinking, maybe at this time you walked into a dead end, rest for a while to change your mind, forget the idea just now maybe you can write it out.
When learning each knowledge, you must understand it completely, and it is OK to do some exercises
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