Specific methods of junior high school mathematics review, methods of junior high school mathematics

Clause. 1. Pay attention to the mastery of basic knowledge points and the awareness of making up for differences. It is to clarify what knowledge points the teacher talks about every day, and how these knowledge points are used in example problems.

The teacher said that if he had learned before but could not, he should record it in time and strive to be able to do it in the future (mainly because he has no time to review systematically).

Clause. Second, it is necessary to pay attention to thinking and summarizing. The teacher should not only understand the topic, but also think about why he did it.

What else can be done? What knowledge points are used in this question and how are they used? Consistent thinking will definitely improve your problem-solving skills.

For some problems, you should summarize their regularity and be good at categorizing, so that you will not just master one topic, but a class of topics.

Clause. 3. Persist in revision. The so-called correction should be done independently after the teacher has spoken, rather than copying it.

Clause. Fourth, we must have a sense of review. Man is not a machine, and it is impossible not to forget. According to your actual situation, it will be good to review the previous homework for a period of time. Clause.

Fourth, it is necessary to have targeted learning methods. Summarize the deficiencies according to your own situation and adjust the learning method in a targeted manner. In short, as long as you have a serious learning attitude, a determination to learn, and a correct and pragmatic learning method, I believe that the study of mathematics will not be difficult for you, come on!

1. Read the book and do the exercises.

2. Look at the table of contents, recall the definitions, theorems, and typical topics in the book, call it a day if you think of it, and repeat the first step if you can't think of it.

Fourth, go to the bookstore casually, find a book of math study problems, watch and play from beginning to end, just watch ** at that time.

It is recommended that you do not die to do the questions, you should return to the basics, if there is a mistake in the question book, take a look at the questions you have made wrong before, so that you don't make another mistake in the exam. In the exam, you should allocate time reasonably, mark the questions you don't know or are not sure about, solve them one by one when you go back and check, and ensure that the questions you will do are correct. Get a good night's sleep before the exam and hope you get a good score at the end.

Mathematics is not like language, there are methods.

Use your brain more and focus on the basics and believe in you.

Night Paw scolded Daddy Zi Mubian Brigade.

The nine axioms and basic facts of mathematics are as follows:

1. There is only one straight line after two points.

2. The shortest line segment between two points.

3. The complementary angles of the same angle or equal angle are equal.

4. The co-angle of the same angle or equal angle is equal.

5. There is only one and only one straight line perpendicular to the known straight line.

6. Among all the line segments connected by the points outside the line and each point on the line, the perpendicular line segment is the shortest.

7. The axiom of parallelism passes a point outside the straight line, and there is only one straight line parallel to the straight line.

8. If both lines are parallel to the third line, the two lines are also parallel to each other.

9. The isotopic angle is equal, and the two straight lines are parallel.

Middle School Mathematics Learning Methods1. Step by step, interlocking.

Mathematics is an interlocking subject, and any disconnection will affect the entire learning process. Therefore, we should not change our greed for joy in our usual learning, we must pass chapter by chapter, and we must not easily leave questions that we do not understand or do not understand deeply, and we must learn every link firmly.

2. The concept is clear and the foundation is solid.

Don't ignore the most basic concepts, axioms, theorems and formulas, and every time you learn a new theorem or definition, you have to dig deep into every word on the basis of understanding. It is necessary to figure out the concepts at the beginning of learning, and deepen the impression by reading and copying, especially the concepts that are easy to confuse, and leave no hidden dangers.

3. Do the questions appropriately and skillfully.

Learning mathematics is indispensable for training, usually do more exercises of moderate difficulty, of course, do not fall into the misunderstanding of dead diamond problems, to be familiar with the question types of the high school entrance examination, training to be targeted. Some students are struggling to complete the questions, and they have made a lot of tutorial books but have rarely improved, which is to fall into the mistake of doing questions.

1. Usual math learning:

1. Carefully preview before class The purpose of preview is to be able to better listen to the teacher's lecture, and through the preview, the mastery should reach 80% Listen to the teacher's lecture with questions that you don't understand in the preview to answer this kind of question Preview can also improve the overall efficiency of listening to the class Specific preview method: finish the questions in the book, draw the knowledge points, and the whole process lasts about 15-20 minutes If time permits, you can also finish the workbook

2. Combine learning and practice in mathematics class In mathematics class, it is useless to just listen When the teacher asks students to go to the blackboard to perform calculations, they also have to practice on scratch paper If you encounter a problem that you don't understand, you must put it forward, and you can't help but ask for a solution Otherwise, you may not do it when you encounter similar questions in the exam When listening to the teacher's lecture, you must pay full attention and pay attention to the details, otherwise "the embankment of a thousand miles will be destroyed in the anthill".

3. Review in time after class After writing the homework, sort out the content of the teacher's lecture that day, and you can do about 25 minutes of extracurricular questions appropriately You can choose the extracurricular book that suits you according to your own needs, and the extracurricular content of the extracurricular questions is probably today's class

The 4 unit test is to detect recent learning In fact, the score represents your past, and the key is to summarize and learn lessons from each exam, so that you can do better in the mid-term and final exams Teachers often conduct exams without notice, so it is necessary to do "after-class review" in time

2. Mid-term final math review:

If the entire test paper is not good, then you can make a copy of the test paper and redo it In addition to the test paper, you can also redo the wrong questions, difficult problems, and easy to make mistakes on the homework In addition, you can also do 2 or 3 final mock papers

Three: Math Exam Skills:

If you want to get a high score, you can't lose points in the choice, fill in the blanks, and calculate the questions When you take the math test, you can't desert your thoughts, and you can't think about "what if you don't do well in the exam" when you encounter a difficult problem Under normal circumstances, the problems in the final exam are the ones that you don't know how to do, but you may suddenly understand When you encounter this kind of question, you should be calm and calm, and use all the conditions that the question gives you to analyze, such as two blank bells in this exam, and a few questions to fill in the blanks at the end of last year's seventh grade These conditions are very helpful for your problem solving Have enough time in the midterm and final exams, press down your speed, not as fast as possible, and strive to succeed in one attempt Leave about 35 minutes for the check

Finally, I remind everyone: doing more questions has a certain effect, but the most important thing is to listen to lectures in class, answer questions carefully, improve accuracy, and summarize experience You should also apply the knowledge you have learned to life, so that you can apply what you have learned When you use mathematical knowledge to solve practical problems in life, you will feel the joy of learning.

The problem-solving methods introduced below are the most commonly used in junior high school mathematics, and some of them are also required to be mastered in the middle school syllabus.

1. Matching method.

The so-called formula is to use the method of identity deformation of an analytic formula to match some terms into the sum form of one or several polynomials to the power of integers. The method of solving a mathematical problem through a recipe is called the matching method. Among them, the most used is the perfect flat method.

The matching method is an important method of identity deformation in mathematics, and it is widely used in factorization, simplifying radicals, solving equations, proving equations and inequalities, finding extreme values and analytic formulas of functions, etc.

2. Factorization.

Factorization is the form of multiplying a polynomial into several integer products. Factorization is the basis of identity deformation, which plays an important role as a powerful tool in mathematics and a mathematical method in solving problems in algebra, geometry, trigonometry, etc. There are many methods of factorization, in addition to the method of extracting common factors, formula method, group decomposition method, cross multiplication method, etc., which are introduced in middle school textbooks, there are also methods such as using split terms to add terms, finding root decomposition, commutation, pending coefficients, etc.

3. Substitution method.

The commutation method is a very important and widely used method of solving problems in mathematics. We usually call unknowns or variables as elements, and the so-called commutation method is to replace a part of the original formula with a new variable or transform the original formula in a more complex mathematical formula, so that it is simplified and the problem is easy to solve.

4. Discriminant formula method and Vedic theorem.

The discriminant discrimination of the roots of the unary quadratic equation ax2+bx+c=0 (a, b, c belong to r, a≠0), =b2-4ac, is not only used to determine the properties of the root, but also as a method of problem solving, it has a very wide range of applications in algebraic deformation, solving equations (groups), solving inequalities, studying functions and even geometry and trigonometric operations.

Vedic theorem finds another root in addition to knowing one root of a quadratic equation; In addition to simple applications such as finding the sum and product of two numbers, you can also find the symmetry function of the root, calculate the symbol of the root of the quadratic equation, solve the symmetry equation, and solve some problems about the quadratic curve.

5. Pending coefficient method.

When solving a mathematical problem, if the result is first judged to have a certain definite form, which contains some coefficients to be determined, and then the equation about the coefficients to be determined is listed according to the conditions of the problem, and finally the values of these coefficients are solved or a certain relationship between these coefficients is found, so as to solve the mathematical problem, this method of solving the problem is called the method of undetermined coefficients. It is one of the commonly used methods in middle school mathematics.

6. Structural method.

When solving problems, we often use such a method, through the analysis of conditions and conclusions, to construct auxiliary elements, which can be a graph, an equation (group), an equation, a function, an equivalent proposition, etc., to build a bridge connecting conditions and conclusions, so that the problem can be solved, this mathematical method of problem solving, we call the construction method. The use of construction method to solve problems can make various mathematical knowledge such as algebra, trigonometry, and geometry penetrate into each other, which is conducive to problem solving.