С.Шәкілікова, Ж.Нұрпейіс, Ғ.Қалдыбаева. Геометрия 9-сынып, 2009
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Entries: 38
Ғ.Қалдыбаева.
С.Шәкілікова
Ж.Нұрпейіс
Геометрия
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С.Шәкілікова, Ж.Нұрпейіс, Ғ.Қалдыбаева. Геометрия 9-сынып, 2009
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Entries
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From the authors
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Page 4
1.1. Vector. Collinear vectors
Theory
Page 5
1.2. Length of a vector. Equality of vectors
Theory
Page 7
1.3. Coordinates of a vector
Theory
Page 10
1.4. Addition and subtraction of vectors
Theory
Page 15
1.5. Multiplication of a vector by a scalar
Theory
Page 18
1.6. Decomposition of a vector into unit vectors of the coordinate axes
Theory
Page 23
1.7. Dot product of vectors
Theory
Page 24
1.8. Decomposition of a vector into two non-collinear vectors
Theory
Page 26
1-тарауға қосымша есептер
Problem
Page 30
2.1. Transformation by motion
Theory
Page 36
2.2. Point symmetry
Theory
Page 38
2.3. Reflection across a line
Theory
Page 39
2.4. Rotation
Theory
Page 41
2.5. Congruence of figures
Theory
Page 42
2.6. Similarity transformation. Similar figures
Theory
Page 46
2.7. Homothety
Theory
Page 46
2.8. Similarity of triangles
Theory
Page 46
2.9. Figures inscribed in a circle
Theory
Page 52
2.10. Proportionality of circumferences and corresponding arcs
Theory
Page 55
2-тарауға қосымша есептер
Problem
Page 57
3.1. Law of cosines
Theory
Page 64
3.2. Law of sines
Theory
Page 65
3.3. Regular polygons. Convex polygons
Theory
Page 70
3.4. Circumference of a circle
Theory
Page 76
3.5. Concept of area. Area of a circle
Theory
Page 78
3.6. Arc length
Theory
Page 80
3-тарауға қосымша есептер
Problem
Page 83
4.1. Lines and planes
Theory
Page 85
4.2. Perpendicularity of a line and a plane
Theory
Page 88
4.3. Right prism. Parallelepiped
Theory
Page 89
4.4. Pyramid
Theory
Page 91
4.5. Solids of revolution. Cylinder
Theory
Page 96
4.6. Cone
Theory
Page 96
4.7. Sphere
Theory
Page 97
Answers and hints to the exercises
Answer
Page 101
Subject index
Other
Page 106
Abbreviations and tables
Other
Page 110
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