How to solve the finale question of junior high school math

I'd suggest you start by looking at some of the kind of problems you said, math is very clever, but it's not difficult, it's not difficult, it's not difficult, and a type of problem will have its own ideas and methods, similar to a pattern, but not completely fixed.

I've had that kind of trouble with you, but I'm good at it, and I don't lose points on the basic questions in the front, but there will be one or two questions that I won't solve in the individual questions or the answers that follow, and it's always the same kind of questions.

I was looking for a lot of these kinds of problems to study, looking at his steps to solve the problem, thinking about the purpose of each step, and slowly, seeing more, seeing more, this kind of thing forms a reflection in your head, and every time he asks a question like this, you know what to do at each step.

It's simple, no matter how the question type changes.

Most of the 90 100 is taught by the teacher, and the remaining 10 100 is up to oneself to comprehend.

Usually I don't read math books when I go home by myself, as long as I understand it well.

Understanding and memorizing some formulas is just a few more steps.

In fact, you can find some typical questions about functions and geometry to do, but you don't need to do too much, as long as you master the method of solving the problem, you have a certain impression in mind, and you will think of similar steps to solve the problem during the exam. Don't do it endlessly, the questions are not too many but fine, good luck!

There are many aspects involved in learning mathematics well. For example: personality (not admitting defeat), study habits (it is better not to take notes in class, find classmates' notes after class and copy them; Maybe it's better not to prepare) and so on, in short, when you become a "curious baby", your math grades will get better.

To learn mathematics well, the key is to organize and record the calculation method of the calculation questions, especially the final question of the high school entrance examination, many people can't get a score. It is also more useful in the future high school entrance examination. So, below, I will sort out the skills for you to solve the finale questions of junior high school mathematics for your reference only.

The idea of combining numbers and shapes refers to a mathematical idea that uses the properties of geometric figures to study the quantitative relationship and seek solutions to algebraic problems from the perspective of geometric intuition, or uses the quantitative relations to study the properties of geometric figures and solve geometric problems (uses numbers to help shapes). The idea of combining numbers and shapes makes the quantitative relationship and geometric figures cleverly combined, so that the problem can be solved.

Throughout the recent years, the finale questions of the high school entrance examination across the country, most of them are related to the plane Cartesian coordinate system, which is characterized by the establishment of the correspondence between points and numbers, that is, coordinates, on the one hand, the algebraic method can be used to study the properties of geometric figures, and on the other hand, with the help of geometric intuition, the solution of some algebraic problems can be obtained.

The first is to use the idea of functions and equations. With the knowledge of straight lines or parabolas as the carrier, the analytical formulas of equations or systems of equations are obtained and their properties are studied.

The second is to use the idea of categorical discussion. Examine the variability of the conditions or conclusions of the problem and**. The third is to apply the idea of transformational mathematics.

From the known to the unknown, from complex to simple. The finale of the high school entrance examination is a comprehensive examination of the candidates' comprehensive ability, involving a wide range of knowledge and the mathematical thinking methods used. Therefore, the finale can be separated into relatively independent and single knowledge or method blocks to think about and**.

In the past years, the finale questions are generally composed of 3 questions. Question (1) is easy to learn and has a score rate above; Question (2) is slightly more difficult, and generally belongs to the conventional question type, with a score rate between and, and question (3) is more difficult and requires higher ability, but the scoring rate is mostly between and. In the past ten years, the scoring rate of the final question has only occasionally occurred, but once it happens, it will attract attention from all parties.

Controlling the difficulty of the finale question has become the consensus of the proposition group of each session, "low starting point, gentle slope, slightly warped tail" has become a major feature of the design of Shanghai mathematics test papers, most of the finale questions of Shanghai papers in the past are not biased, and the scoring rate is stable between and, that is, the average score of candidates is 7 or 8 points. It can be seen that the finale question is not terrible.

The math finale of the high school entrance examination is of a certain degree of difficulty, so what are the methods and problem-solving skills of the most junior high school math finale questions?

Sharing of problem-solving skills for the finale of mathematics in the high school entrance examinationLook for more information in the question

The graph is changing in motion, and there is more than one situation that may meet the conditions, which is commonly known as two or more solutions, how to avoid missing the solution is also a headache for candidates, in fact, the information of multiple solutions can be found in the question, which requires us to dig deep into the question, in fact, it is a repeated and serious examination of the question.

Learn to use the idea of combining numbers and shapes

Throughout the recent years, the mathematics finale questions of the high school entrance examination all over the country, most of them are related to the plane Cartesian coordinate system, which is characterized by the establishment of the correspondence between points and numbers, that is, coordinates, on the one hand, the properties of geometric figures can be studied by algebraic methods, and on the other hand, the solutions to some algebraic problems can be obtained with the help of geometric intuition.

Common question types for the mathematics finale of the high school entrance examinationCalculation and proof of line segments and angles

The answers to the questions in the high school entrance examination are generally divided into two to three parts. The first part is basically a series of simple or intermediate questions, which are designed to examine the basics. The second part is often the middle problem of starting to pull points.

The significance of easily mastering these questions is not only to get scores, but more importantly, to affect the morale and morale of the army throughout the process of doing the questions. Generally speaking, the calculation and proof of line segments and angles will not be very difficult, as long as you find the key "problem", the back road will be "through" by yourself.

Graph position relationships

In secondary school mathematics, the relationship between the position of graphs mainly includes the relationship between points, lines, triangles, rectangles, squares, and circles. In the high school entrance examination, it will be included in functions, coordinate systems and geometry problems, but it is mainly examined through the relationship between circles and other figures, the most important of which are various problems of circles and triangles.

Middle School Mathematics Learning MethodsDon't lose a single point on the basics

First of all, it is necessary to sort out the knowledge network, think clearly, know yourself and know your opponent. Thinking about what we have learned in middle school mathematics and what rules there are in the layout of textbooks, pondering these two questions is actually to sort out the knowledge network and have a good knowledge in mind.

Secondly, you must master the math syllabus and have a good idea of the exam. Master the syllabus of mathematics for this year's high school entrance examination, use the syllabus to lead the knowledge outline, master the necessary basic knowledge and pass the basic calculation level, and do not lose a single point in basic knowledge, then it is one step closer to doing a good job in the answer sheet of mathematics in the high school entrance examination.

Do a good job in the final sprint of mathematics for the high school entrance examination

The high school entrance examination is getting closer and closer, on the one hand, you need to study normally according to the school's review progress, and on the other hand, because everyone's learning situation is different, you also need to carry out double check and fill in the gaps of knowledge points and lost points, find out the shortcomings, and fix them accurately.

The finale question insists on one question every day, and summarizes the method in time, and the wrong question will play a role. Finally, practice a set of mock papers for the high school entrance examination every week to summarize the exam questions in a timely manner.

Generally, they have a certain connection with the example questions in the book or the usual mock exam questions, and the teacher will probably listen to the example questions after the mock test;

1.You should understand the general layout between the geometry and function plots.

2.Analyze what function this question probably belongs to, (generally related to several functions, and most of each small question is not a function, remember).

3.Then boldly carry out the depiction analysis, and quickly make a lot of assumptions until it is consistent with the topic question.

In fact, this kind of question is a waste of time, first make sure that the previous question is correct and then carefully study the question, the first one or two questions are generally very simple and naïve, and the last one or two questions need to be extended to study carefully, (remember, don't hang yourself from a tree).

First of all, do more. See Title. Don't panic. That's how we came here, after all. There are limited changes in junior high school questions, and there are only a few types of exams to be taken. Also, comprehension to do the questions.

1. The answering skills for the finale of the third year of junior high school mathematics are:

1. Take the coordinate system as a bridge and use the idea of combining numbers and shapes.

Throughout the recent years, most of the finale questions of the high school entrance examination are related to the coordinate system, which is characterized by the establishment of the correspondence between points and numbers, that is, coordinates, on the one hand, the algebraic method can be used to study the properties of geometric figures, and on the other hand, the answers to some algebraic problems can be obtained with the help of geometric intuition.

2. Take the knowledge of straight lines or parabolas as the carrier, and use the ideas of functions and equations.

Straight lines and parabolas are two important types of functions in junior high school mathematics, that is, the primary function and the quadratic function.

Therefore, whether it is to find its analytic formula or study its properties, it is inseparable from the idea of functions and equations. For example, the determination of the analytic formula of a function often requires the solution of a series of equations or systems of equations according to known conditions.

3. Take advantage of the variability of conditions or conclusions, and use the idea of categorical discussion.

Categorical discussion ideas can be used to test the accuracy and rigor of students' thinking, often through the variability of conditions or the uncertainty of conclusions.

Some problems, if you do not pay attention to the classification and discussion of various situations, it may cause misunderstanding or omission, throughout the recent years of the high school entrance examination finale question classification discussion ideological solution has become a new hot spot.

4. Integrate multiple knowledge points and use the idea of equivalent transformation.

The solution of any mathematical problem is inseparable from the idea of transformation, and the transformation in junior high school mathematics generally includes the transformation from the known to the unknown, from complex to simple, and as the finale of the high school entrance examination, more attention is paid to the connection and transformation between different knowledge.

The finale question of the high school entrance examination is not an isolated knowledge point, nor is it an individual method of thinking, it is a comprehensive examination of the candidate's comprehensive ability. In order to improve the scoring rate of the finale questions, there is also a need for a scoring strategy in the exam that is divided into questions and segments.

5. Score on the subject.

The finale questions of the high school entrance examination generally have two to three small questions under the big questions, and the degree of difficulty is that the (1) small question is easier, the (2) small question is medium, and the (3) small question is difficult, and the score of the (1) question must be obtained, the score of the (2) question must be obtained, and the score of the (3) question must be obtained, which greatly improves the possibility of obtaining a high score in mathematics in the high school entrance examination.

6. Segment scoring.

If you can't do a finale question of the high school entrance examination, it does not mean that you don't understand it at all, you can't do it at all, you have to transform the idea of the fragment into a scoring point, therefore, you should emphasize the segmented score, maximize your level, and turn the finale question of the high school entrance examination mathematics into the most valuable finale.

2. The mentality and strategy for solving the finale problem of junior high school mathematics:

Make a complete and comprehensive understanding of your own mathematics learning situation, and position the center of gravity accurately when taking the exam according to your own situation, so as to prevent "picking sesame seeds and throwing watermelons". Therefore, in your heart, you must give the finale question or a few "difficult points" a time limit, if it exceeds the set upper limit, you must stop, go back and carefully check the previous questions, try to ensure that the selection, fill in the blanks are foolproof, and check the previous answers as much as possible.

Specific analysis of specific problems After getting the questions, first look at the known conditions, what to find, what property theorems can be used, write up, if you can't do it, write the formulas and theorems you know, and then do other questions, scoring is the first place There are generally not too many strange questions in the high school entrance examination, there may be that kind of very complicated to use classification discussion.

If you don't ask like this, you have to analyze the specific questions in detail, and after you get the questions, you have to see what known conditions you have, what you want, what property theorems you can use, and if you can't do it, write down the formulas and theorems you know, and then do other questions, and getting points is the first place in the high school entrance examination, and there are generally not too many strange questions, and there may be that kind of very complicated to use classification to discuss.