Л.С.Атанасян, И.Ф.Бутузов. Геометрия 10-11 сынып, 1996
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Л.С.Атанасян
И.Ф.Бутузов.
Геометрия
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Л.С.Атанасян, И.Ф.Бутузов. Геометрия 10-11 сынып, 1996
Preparing book pages
1
Entries
76
Introduction
Theory
Page 6
Questions and problems
Problem
Page 10
Chapter I. Parallelism of lines and planes
Theory
Page 13
§1. Parallelism of lines, a line and a plane
Theory
Page 13
Questions and problems
Problem
Page 17
§2. Relative positions of lines in space. Angle between two lines
Theory
Page 19
Questions and problems
Problem
Page 23
§3. Parallel planes
Theory
Page 24
Questions and problems
Problem
Page 26
§4. Tetrahedron and parallelepiped
Theory
Page 28
Problems
Problem
Page 35
Questions for Chapter I
Open question
Page 37
Additional problems
Problem
Page 38
Chapter II. Perpendicularity of lines and planes
Theory
Page 41
§1. Perpendicularity of a line and a plane
Theory
Page 41
Problems
Problem
Page 46
§2. Perpendicular and oblique lines. Angle between a line and a plane
Theory
Page 48
Problems
Problem
Page 52
§3. Dihedral angle. Perpendicular planes
Theory
Page 55
Problems
Problem
Page 60
Questions for Chapter II
Open question
Page 63
Additional problems
Problem
Page 64
Chapter III. Polyhedra
Theory
Page 66
§1. Concept of a polyhedron. Prism
Theory
Page 66
Problems
Problem
Page 40
§2. Pyramid
Theory
Page 72
Problems
Problem
Page 74
§3. Regular polyhedra
Theory
Page 78
Practical tasks
Problem
Page 82
Questions and problems
Problem
Page 83
Questions for Chapter III
Open question
Page 84
Additional problems
Problem
Page 84
Chapter IV. Vectors in space
Theory
Page 88
§1. Vectors in space
Theory
Page 88
Questions and problems
Problem
Page 90
§2. Addition and subtraction of vectors. Multiplication of a vector by a scalar
Theory
Page 91
Problems
Problem
Page 95
§3. Coplanar vectors
Theory
Page 97
Questions and problems
Problem
Page 96
Questions for Chapter IV
Open question
Page 103
Additional problems
Problem
Page 104
Chapter V. Coordinate method in space
Theory
Page 107
§1. Coordinates of a point and a vector
Theory
Page 107
Questions and problems
Problem
Page 113
§2. Dot product of vectors
Theory
Page 118
Problems
Problem
Page 121
§3. Transformations
Theory
Page 125
Problems
Problem
Page 128
Questions for Chapter V
Open question
Page 129
Additional problems
Problem
Page 130
Chapter VI. Cylinder, cone, and sphere
Theory
Page 133
§1. Cylinder
Theory
Page 133
Problems
Problem
Page 136
§2. Cone
Theory
Page 138
Problems
Problem
Page 142
§3. Sphere
Theory
Page 144
Problems
Problem
Page 149
Questions for Chapter VI
Open question
Page 151
Additional problems
Problem
Page 152
Various problems on polyhedra, cylinders, cones, and spheres
Problem
Page 154
Chapter VII. Volumes of solids
Theory
Page 157
§1. Volume of a rectangular parallelepiped
Theory
Page 157
Problems
Problem
Page 161
§2. Volume of a right prism and a cylinder
Theory
Page 162
Questions and problems
Problem
Page 164
§3. Volume of an oblique prism, pyramid, and cone
Theory
Page 165
Problems
Problem
Page 171
§4. Volume of a sphere and surface area of a sphere
Theory
Page 174
Questions and problems
Problem
Page 177
Questions for Chapter VII
Open question
Page 178
Additional problems
Problem
Page 179
Various problems on polyhedra, cylinders, cones, and spheres
Problem
Page 181
Volume problems
Problem
Page 179
Appendix 1. Representation of spatial figures
Theory
Page 187
Appendix 2. On the axioms of geometry
Theory
Page 194
Answers and hints
Answer
Page 198
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