Junior High School Mathematics | Summary and summary of knowledge points in each chapter of the previous volume, essential for summer preview, collection for prospective junior high school students
This semester is coming to an end, and many students are already preparing to review for the final exam. For students who are about to enter the third year of junior high school, , the third year of junior high school is the year to prepare for the high school entrance examination, and there are many more. The important new content of the high school entrance examination needs to be studied, so the time is relatively tight. If you want to take into account the new learning content, you must also take into account the comprehensive review of the entire high school entrance examination.
So during the summer vacation, for students who are about to be in the third grade of junior high school, it is the best time to preview in advance. This can not only fully understand the new content learned in the first semester of the third grade of junior high school, but also carry out some basic content through self-study and preview. For preliminary learning, you can leave some difficult or confusing parts in class and concentrate on listening to the teacher's explanation. This kind of learning efficiency is relatively high and can also alleviate the heavy learning pressure caused by learning. In view of this, Teacher Tang has prepared for everyone a summary of the key and difficult points in studying each chapter in the first semester of the third year of junior high school, as well as a summary of knowledge points. For students who are studying and previewing, prepare in advance to improve learning efficiency and reduce your learning pressure as much as possible.
Moreover, when you enter the third year of junior high school, you must actively prepare for the exam. The time is relatively tight. Only by preparing a long-term study plan can you be able to prepare for the exam in the third year of junior high school with ease. Next, Teacher Tang will share with you how to preview each chapter while studying.
first and second radicals. In this chapter, in addition to understanding the concept of quadratic radicals and mastering some important conclusions of quadratic radicals, in the calculation of quadratic radicals, multiplication and division mainly rely on the concepts and properties of the quadratic function , so Relatively speaking, it is relatively simple, but the addition and subtraction of quadratic radicals relies on the concept and properties of the simplest quadratic radical of for calculation, so it is more difficult than multiplication and division. We can better grasp the calculation of addition and subtraction of quadratic radicals by comparing the similarities and differences between the addition and subtraction of quadratic radicals and the addition and subtraction of integers.
Second, the quadratic equation of one variable. In previous studies, students have mastered the methods and techniques of using linear equations of one variable to solve practical problems. So when learning quadratic equations, the methods and techniques are similar, and it is easier to learn. The main learning point is the solution of quadratic equations and using it to solve practical problems. Among them, solving quadratic equations In the process of solving quadratic equations, the difficulty of the method mainly focuses on the factorization method.
Third, rotate. After the students have mastered translation , axis symmetry and their properties, new content has been added to the changes in graphics, which is rotation. Among the changes in graphics, we must focus on learning central symmetry and central symmetry graphics. At the same time, in the plane rectangular coordinate system , the coordinate characteristics of the symmetric points of the X-axis and the y-axis are also the focus of everyone's study.
Fourth, circle. There are relatively many test points for the knowledge of circles. It is a relatively important section in the mathematics of the high school entrance examination. When studying the hour hand, we must understand the application skills of each knowledge point and combine it in the actual operation process. The question types allow you to thoroughly understand the test points and theorems involved and apply them flexibly.
In the process of learning the chapter of circle, students should pay attention to the knowledge of graphic transformation by hand to understand the content they have learned. The correlation is stronger, such as understanding verticality from the perspective that a circle is an axially symmetrical figure The conclusions related to the diameter of the string and the vertical diameter theorem of and are used to understand the relationship between the central angle of the string from the perspective of rotation.This is a chain reaction brought about by the connection between knowledge points in the learning process. It can better help students integrate the knowledge points they have learned, improve the stickiness between knowledge points, and is important for improving knowledge. Dot application tips help a lot.
Fifth, preliminary probability. The focus of this chapter on preliminary probability is mainly focused on using the relevant knowledge points of probability to solve practical problems in life. Probability questions that have been frequently tested or even required every year in the high school entrance examinations over the years mainly focus on using the enumeration method or the tree diagram method to calculate probability. At the same time, starting from the stable value of frequency, the concept of probability is introduced, probability and probability estimation methods are introduced, and the connection between probability and statistics is strengthened.
From the content of each chapter in the first semester of the third grade of junior high school, we can find that these learning contents are closely related to actual life. After mastering relevant knowledge points and application skills, you can solve practical problems based on the reality of life. Therefore, during the improvement and learning process of each chapter, we analyze the types of questions in practical problems or situations. The knowledge points and solutions involved are a reflection of the improvement of knowledge application ability. This is also the part that students are lacking in learning. I hope it can attract everyone's attention when learning.
is written at the end: For the learning content in the first semester of junior high school, summer vacation is the best time to preview in advance. Students can use this time to sort out the basic content and knowledge test points of the chapters learned in the previous volume. In order to improve the efficiency of learning in the classroom after school starts. And prepare for the subsequent high school entrance examination review.
