Ж.Қайдасов, В.Гусев, Ә.Қағазбаева. Геометрия 10-сынып, 2006
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Ж.Қайдасов
В.Гусев
Ә.Қағазбаева.
Геометрия
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Ж.Қайдасов, В.Гусев, Ә.Қағазбаева. Геометрия 10-сынып, 2006
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1
Entries
77
Foreword
Other
Page 4
Chapter I. Axioms of stereometry and their simple consequences
Theory
Page 5
§1. Axioms of stereometry
Theory
Page 5
§1. Questions and tasks
Problem
Page 7
§1. Problems
Problem
Page 7
§2. Simple consequences of axioms
Theory
Page 7
§2. Questions and tasks
Problem
Page 8
§2. Problems
Problem
Page 8
§3. Dividing space by a plane into two half-spaces
Theory
Page 9
§3. Questions and tasks
Problem
Page 9
§3. Problems
Problem
Page 11
Chapter II. Parallelism of lines and planes
Theory
Page 12
§4. Parallel and skew lines
Theory
Page 12
§5. Criterion for parallel lines
Theory
Page 13
§5. Questions and tasks
Problem
Page 14
§5. Problems
Problem
Page 14
§6. Criterion for parallelism of a line and a plane
Theory
Page 15
§6. Questions and tasks
Problem
Page 16
§7. Parallelism of planes
Theory
Page 17
§8. Properties of parallel planes
Theory
Page 18
§8. Questions and tasks
Problem
Page 19
§8. Problems
Problem
Page 20
§9. Parallel projection
Theory
Page 21
Representation of spatial figures on a plane
Theory
Page 21
§10. Sections
Theory
Page 23
§10. Questions and tasks
Problem
Page 24
§10. Problems
Problem
Page 24
1.1 test
Test
Page 27
1.2 test
Test
Page 29
1.3 test
Test
Page 31
Chapter III. Perpendicularity of lines and planes
Theory
Page 34
§11. Perpendicularity of lines in space
Theory
Page 34
§12. Perpendicularity of a line and a plane
Theory
Page 35
§12. Questions and tasks
Problem
Page 36
§12. Problems
Problem
Page 36
§13. Properties of a perpendicular line and plane
Theory
Page 37
§13. Questions and tasks
Problem
Page 38
§13. Problems
Problem
Page 39
§14. Perpendicular and oblique line
Theory
Page 40
§15. The theorem of three perpendiculars
Theory
Page 41
§15. Questions and tasks
Problem
Page 41
§15. Problems
Problem
Page 42
Additional problems
Problem
Page 43
§16. Distance between lines and planes
Theory
Page 43
§16. Questions and tasks
Problem
Page 45
§16. Problems
Problem
Page 45
§17. Angle between a line and a plane
Theory
Page 46
§18. Angle between two planes
Theory
Page 46
§19. Criterion for perpendicularity of two planes
Theory
Page 47
§20. Dihedral angle
Theory
Page 48
§20. Questions and tasks
Problem
Page 48
§20. Problems
Problem
Page 49
2.1 test
Test
Page 52
2.2 test
Test
Page 54
2.3 test
Test
Page 56
Chapter IV. Vectors in space
Theory
Page 59
§21. Rectangular coordinate system in space
Theory
Page 59
§22. Distance between points
Theory
Page 60
§23. Parallel translation in space
Theory
Page 61
§23. Questions and tasks
Problem
Page 62
§23. Problems
Problem
Page 62
§24. Vectors in space
Theory
Page 63
§24. Questions and tasks
Problem
Page 64
§24. Problems
Problem
Page 64
§25. Operations with vectors
Theory
Page 65
§25. Questions and tasks
Problem
Page 66
§25. Problems
Problem
Page 66
§26. Decomposition of vectors
Theory
Page 68
§27. Scalar product of vectors
Theory
Page 69
§27. Questions and tasks
Problem
Page 69
§27. Problems
Problem
Page 70
§28. Applications of vectors
Theory
Page 71
§28. Problems
Problem
Page 74
3.1 test
Test
Page 75
3.2 test
Test
Page 77
Additional problems
Problem
Page 79
Answers
Answer
Page 82
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