1 1. 1 translation /2

Translation of 1 graphics /2

2 Translation feature /4

1 1.2 turn /8

1 graphic rotation /8

2 rotation features/1 1

3 Rotationally symmetric graphics/13

1 1.3 Center symmetry/16

Rotational symmetry in the reading materials of ancient buildings

-From Dunhuang Grottoes to European Churches /23

Summary /24

Review questions /25

Chapter 12 parallelogram

12. 1 parallelogram 30

Characteristics of 1 parallelogram /30

2 Identification of parallelogram /34

12.2 Some special parallelograms /39

1 rectangle /39

2 diamonds /4 1

3 square /43

Reading material golden rectangle /45

12.3 trapezoid /46

Quadrilateral transformation of reading materials /49

Summary /50

Review questions /5 1

One-dimensional linear inequality in chapter 13

13. 1 cognitive inequality /54

13.2 Solving linear inequalities in one variable /57

Solution set of 1 inequality /57

2 Simple deformation of inequality /58

3 Solving linear inequality of one variable /6 1

13.3 One-dimensional linear inequalities /64

Summary /68

Review questions /69

Chapter 14 Multiplication of Algebraic Expressions

14. 1 power supply operation /72

1 Multiplication of the same radix power /72

Power of 2 /73

Power of 3 product /74

14.2 multiplication of algebraic expressions /76

1 multiplication of monomial and monomial /76

2 Multiplication of monomial and polynomial /77

3 Multiplication of Polynomials and Polynomials /78

14.3 multiplication formula /8 1

1 the sum of two numbers multiplied by their difference /8 1

2 The square of the sum of two numbers /83

Jiaxian Sanjiao Reading Materials /85

14.4

Factorization /87

Can you read the reading material /90

Summary /9 1

Review questions /92

Research fields and algebraic identities /94

Chapter 15 Frequency and opportunity

15. 1 Looking for experimental rules /96

Reading materials Computers help us to process data.

15.2 estimate the size of opportunities by frequency/104

1 probability of needle touching the ground/104

Probability that the product of two numbers is odd and even/107

Why are the letters on the computer keyboard in the wrong order?/109

15.3 simulation experiment/1 10

1 simulation experiment with substitutes/1 10

2 Simulation experiment with calculator/1 12

Abstract/1 15

Review questions/1 16

Red and green lights/1 18

Random number table/120