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Beijing normal university printing plate eighth grade first volume mathematics catalogue
Beijing Normal University Edition Grade 8 Volume I Mathematics Textbook Catalogue Chapter I Pythagorean Theorem

1. Explore Pythagorean Theorem

2. Must it be a right triangle?

3. Application of Pythagorean Theorem

Review and thinking

Review exercises

Chapter II Real Numbers

1. Understanding irrational numbers

2. Square root

3. Cubic root

estimate

Step 5 write a prescription with a calculator

6. Real numbers

7. Quadratic radical

Review and thinking

Review exercises

Chapter III Location and Coordinates

1. Determine the location

2. Plane rectangular coordinate system

3. Axisymmetry and coordinate changes

Review and thinking

Review exercises

Chapter IV Linear Functions

1. function

2. Linear function and proportional function

3. Linear function image

4. The application of linear function

Review and thinking

Review exercises

Chapter V Binary Linear Equations

1. Understanding binary linear equations

2. Solve binary linear equations

3. Close chickens and rabbits with binary linear equations.

4. Use binary linear equations to increase revenue and reduce expenditure.

5. Apply the number on the milestone of binary linear equations.

6. Binary linear equations and linear functions

7. Determine the expression of linear function with binary linear equations.

*8. Three-dimensional linear equation

Review and thinking

Review exercises

Chapter VI Data Analysis

1. Average

2. Median and mode

3. Analyze the concentration trend of data from the statistical chart.

4. Degree of data dispersion

Review and thinking

Review exercises

Chapter VII Proof of Parallel Lines

1. Why prove it?

2. Definition and proposition

3. Determination of parallel lines

4. The essence of parallel lines

5. The theorem of triangle interior angle sum

Review and thinking

Review exercises

Synthesis and practice

Application and function exploration of calculator

Synthesis and practice

Which mobile phone tariff package is more suitable?

Synthesis and practice

Which city is hotter in summer?

General revision

Knowledge points in the first volume of eighth grade mathematics: reciprocal, reciprocal, absolute value 1, reciprocal of real numbers.

A real number and its inverse are a pair of numbers (only two numbers with different signs are called inverse numbers, and the inverse of zero is zero). Seen from the number axis, the points corresponding to two opposite numbers are symmetrical about the origin. If a and b are opposites, then a+b=0 and a=? B, and vice versa

2. Absolute value

On the number axis, the distance between the point corresponding to a number and the origin is called the absolute value of the number. (|a|? 0)。 The absolute value of zero is itself and can also be regarded as its inverse. If |a|=a, then a? 0; If |a|=-a, then a? 0。

Step 3 count down the seconds

If A and B are reciprocal, there is ab= 1, and vice versa. The numbers whose reciprocal equals itself are 1 and-1. Zero has no reciprocal.

4. Counting axes

The straight line that specifies the origin, positive direction and unit length is called the number axis (pay attention to the three elements specified above when drawing the number axis).