В.Гусев, Ж.Қайдасов, Есенғазин. Есептер жинағы. Геометрия 11-сынып. 2015

Introduction

Chapter I. Polyhedra and areas of their surfaces

§1. Definition of a polyhedron. Elements of a polyhedron

1.1—1.2. Trihedral and polyhedral angles. Properties of polyhedral angles

1.3. Concept of a polyhedron

§2. Prism

2.1. Prisms and their properties

2.2. Parallelepiped and its properties

2.3. Net of a prism. Surface area of a prism

§3. Pyramid

3.1. Definition of a pyramid and general properties

3.2. Frustum of a pyramid

3.3. Net of a pyramid. Surface area of a pyramid

Chapter II. Solids of revolution

§5. Cylinder

5.1—5.2. Cylinder. Section of a cylinder

5.3—5.4. Net and surface area of a cylinder. Inscribed and circumscribed prisms

§6. Cone

6.1—6.2. Cone. Plane section of a cone

6.3—6.4. Net and surface area of a cone. Inscribed and circumscribed cones

6.5. Truncated cone

§7. Sphere and ball

7.1—7.3. Sphere and ball. Plane section of a sphere and ball. Tangent plane to a sphere and ball

7.4—7.5. Parts of a disk, sphere and ball. Inscribed and circumscribed polyhedra

7.6. Surface area of a sphere and its parts

Chapter III. Volumes

§8. Volumes of polyhedra

8.3. Volume of a prism

8.4. Volume of a pyramid

§9. Volumes of solids of revolution

9.1. Volume of a cylinder

9.2. Volume of a cone

9.3—9.4. Volume of a ball. Volume of a part of a ball

Answers and hints