Mathematics knowledge points of the eighth grade under Beijing Normal University

Textbooks play an important role in the teaching of 8th grade mathematics. What knowledge is included in the catalog? I have compiled a catalogue of mathematics for the eighth grade of Beijing Normal University, I hope it will be helpful to you!

Chapter 1 The Proof of the Triangle.

1.Isosceles triangle.

2.Right-angled triangle.

3.The perpendicular bisector of the line segment.

4.Angular bisector.

Retrospective and reflective.

Review questions. Chapter 2 Unary Inequalities and Groups of Unary Inequalities.

1.Unequal relationships.

2.The basic properties of inequalities.

3.The set of solutions to inequalities.

4.Unary one-time inequality.

5.Unary primary inequality and primary function.

6.A group of unary inequalities.

Retrospective and reflective.

Review questions. Chapter 3 Translation and Rotation of Figures.

1.Translation of the graph.

2.Rotation of the graph.

3.Centrally symmetrical.

4.Simple pattern design.

Retrospective and reflective.

Review questions. Chapter 4 Factorization.

1.Factorization.

2.Mention the common factor method.

3.Formula method.

Retrospective and reflective.

Review questions. Chapter 5 Fractions and Fractional Equations.

1.Recognize fractions.

2.Multiplication and division of fractions.

3.Addition and subtraction of fractions.

4.Fractional equations.

Retrospective and reflective.

Review questions. Chapter 6 Parallelograms.

1.The nature of the parallelogram.

2.Determination of parallelograms.

3.The median line of the triangle.

4.The sum of the inner angles of the polygon is the sum of the outer angles.

Retrospective and reflective.

Review questions. Synthesis and Practice.

A "one-time model" in life

Synthesis and Practice.

Mosaic of flat figures.

Total review. Grade 8 Mathematics Knowledge Points: Unary Inequalities and Unary Inequalities Groups.

1. Unequal relationship.

Definition: In general, an equation connected by the symbol "<" or "or" " is called an inequality.

Difference from equations: equations represent equal relations; Inequalities denote unequal relations.

Note: Accurately "translate" inequalities, and correctly understand mathematical terms such as "non-negative", "not less than", "not greater than", "at most", "at least", etc.

2. The basic nature of inequalities.

Both sides of the inequality add (or subtract) the same integer, and the direction of the inequality sign does not change, i.e., as.

If a>b, then a c>b c;

Both sides of the inequality are multiplied (or divided) by the same positive number, and the direction of the inequality sign does not change, i.e. if a>b, c>0, then ac>bc (or);

Both sides of the inequality are multiplied (or divided) by the same negative number, and the direction of the inequality sign changes, i.e. if a>b, c<0, then ac

Chapter 2 Real Numbers.

Definition: Any finite decimal or infinite cyclic decimal is a rational number. Infinite non-cyclic decimal numbers are called irrational numbers.

Rational numbers can always be represented by finite decimals or infinitely cyclic decimals).

In general, if the square of a positive number x is equal to a, then this positive number x is called the arithmetic square root of a.

In particular, we stipulate that the arithmetic square root of 0 is 0.

In general, if the square of a number x is equal to a, then the number x is called the square root of a (also called the quadratic root).

A positive number has two square roots;0 has only one square root, which is 0 itself;Negative numbers do not have square roots.

The operation of finding the square root of a number a is called the open square, where a is called the number of the square being opened.

In general, if the cube of a number x is equal to a, then the number x is called the cubic root of a (also called the cubic root).

The cube root of a positive number is a positive number;The cube root of 0 is 0;The cubic comma base of a negative number is a negative number.

The operation of finding the cube root of a number a is called the open square, where a is called the number of squares to be opened.

Rational numbers and irrational numbers are collectively referred to as real numbers, that is, real numbers can be divided into rational numbers and irrational numbers.

Each real number can be represented by a point on the number line;In turn, each point on the number line represents a real number. That is, the real number and the points on the number line correspond one-to-one.

On the number line, the dot on the right represents a larger number than the dot on the left.

Summary. Dear, I'm glad to answer for you. The first and third chapters of mathematics in the second volume of the eighth grade of the Beijing Normal University edition are the key points.

Mathematics is the study of concepts such as quantity, structure, change, space, and information. Mathematics is a general means for human beings to strictly describe and deduce the abstract structure and pattern of things, which can be applied to any problem in the real world, and all mathematical objects are artificially defined in nature. In this sense, mathematics belongs to the formal sciences, not the natural sciences.

Different mathematicians and philosophers have a range of opinions on the exact scope and definition of mathematics.

Dear, I'm glad to answer for you. The first and third chapters of mathematics in the second volume of the eighth grade of the Beijing Normal University edition are the key points. Mathematics is the study of concepts such as quantity, structure, change, space, and information.

Mathematics is a general means for human beings to strictly describe and deduce the abstract structure and pattern of things, which can be applied to any problem in the real world, and all mathematical objects are inherently artificially defined. In this sense, mathematics belongs to the formal sciences, not the natural sciences. Different mathematicians and philosophers have a range of opinions on the exact scope and definition of mathematics.

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Beijing Normal University Press was established in 1980, and the publishing house level is **. Beijing Normal University Press is one of the fastest-growing university publishing publishers since the reform and opening up, and one of the most influential educational publishing houses in China. Founded in 1980, Beijing Normal University Press is the core enterprise of Beijing Normal University Publishing Group, which is a comprehensive publishing house with educational publishing as the main body and professional publishing and popular publishing as the two wings.

For more than 30 years, Beijing Normal University Press has always adhered to the concept of "disseminating scientific truth, promoting educational innovation" and "promoting Chinese culture and sharing world civilization", publishing more than 10,000 kinds of books, with a circulation of 1.5 billion copies, nearly 1,000 kinds of books exported, and more than 100 kinds of books winning national, provincial and ministerial awards.

What about the eighth grade? What are the key chapters?

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Oh of the first chapter.

What about the physical? Kiss <>

8th grade book 1 or book 2?

Upper and lower volumes. Upper and lower volumes.

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The first volume is the fourth chapter, and the second volume is the seventh chapter.

Grade 9 Mathematics and Physics?

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What is in the first and second books of 9th grade math and physics?

The focus and test points are the chapters.

Dear, I'm glad to answer for you. The first volume of Grade 9 Physics is the second chapter, and the second volume is the third chapter.

Dear, I'm glad to answer for you. The first volume of 9th grade mathematics is chapter 23. The next volume is the twenty-sixth chapter.