В.А.Смирнов, Е.Тұяқов. Геометрия 9-сынып, 2019
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В.А.Смирнов
Е.Тұяқов.
Геометрия
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В.А.Смирнов, Е.Тұяқов. Геометрия 9-сынып, 2019
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Entries
38
Foreword
Other
Page 5
Review of Grade 8 geometry course
Problem
Page 6
Chapter 1. Vectors on the plane
Theory
Page 15
Concept of a vector
Theory
Page 15
Addition of vectors
Theory
Page 19
Multiplication of a vector by a number
Theory
Page 22
Decomposition of a vector
Theory
Page 26
Angle between vectors. Scalar product of vectors
Theory
Page 30
Coordinates of a vector
Theory
Page 34
Equation of a line
Theory
Page 38
Check yourself
Test
Page 45
Chapter 2. Transformations on the plane
Theory
Page 47
Parallel translation
Theory
Page 47
Axial symmetry
Theory
Page 51
Central symmetry
Theory
Page 58
Rotation. Symmetry of order n
Theory
Page 63
Motion. Congruence of figures
Theory
Page 67
Similarity of figures. Homothety
Theory
Page 73
Criteria for similarity of triangles
Theory
Page 78
Check yourself
Test
Page 92
Chapter 3. Solving triangles
Theory
Page 95
Sine theorem
Theory
Page 95
Cosine theorem
Theory
Page 96
Chapter 4. Angles and segments related to a circle
Theory
Page 106
Inscribed angles of a circle
Theory
Page 106
Angles related to a circle
Theory
Page 112
Segments related to a circle
Theory
Page 117
Check yourself
Test
Page 122
Chapter 5. Polygons and circle
Theory
Page 125
Triangles and circle
Theory
Page 125
Quadrilaterals and circle
Theory
Page 131
Regular polygons and circle
Theory
Page 135
Area of a disk and its parts
Theory
Page 144
Trigonometric functions of arbitrary angles
Theory
Page 152
Check yourself
Test
Page 157
Review of Grade 9 geometry course
Problem
Page 159
Logic tests
Test
Page 172
Answers
Answer
Page 174
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