What are the skills for solving the finale of junior high school math?

Strengthen the special training of the five categories of finale questions to improve the quality shaping

1) Basics: the three theorems of the vertex of the parabola, the axis of symmetry, the maximum, and the circle;

2) Models: symmetry model, similarity model, area model, etc.;

3) Skills: simplification of complex problems, staticization of motion problems, and specialization of general problems;

4) Thoughts: Functional Thoughts, Classification Discussion Ideas, Naturalization Ideas, and Combination of Numbers and Shapes.

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.

Hello, what is the finale question, junior high school math, send it to me.

The third question is what you can see<>

<> the previous ones will do.

Hold on. That angle is 120° marked wrong.

You know, don't send a message just yet, you only have three left.

I see, I'll draw it for you later.

If the DC is perpendicular to the BO, the OC can be pushed out to be the mid-perpendicular line of the AB.

Then the problem is solved.

Let's take a look at the specific solution process.

I'm driving home now, and it's 10 o'clock when I get home, so you can try it later, and I'll do it when I get back.

Finally, point d falls on the abscissa, which is equal to the abscissa of point b.