Ә.Н.Шыныбеков, Д.Ә.Шыныбеков, Р.Н.Жұмабаев. Геометрия 10-сынып, 2018

Foreword

Questions and problems for reviewing the plane geometry course

Section 1. Axioms of solid geometry. Parallelism in space

1.1. Axioms of solid geometry and some of their consequences

1.2. Parallelism of lines and planes in space

1.3. Tetrahedron and parallelepiped

1.4. Relative positions of two planes

Section 2. Perpendicularity in space

2.1. Perpendicularity of a line and a plane

2.2. Three perpendiculars theorem

2.3. Angle between a line and a plane. Dihedral angles

2.4. Representation of spatial figures on a plane

Section 3. Rectangular coordinate system in space and vectors

3.1. Concept of vectors in space and operations on them

3.2. Coordinates of a point and a vector in space

3.3. Dot product of vectors. Division of a segment in a given ratio

3.4. Equation of a plane. Representation of spatial figures by equations and inequalities

3.5. Equation of a line in space

3.6. Applying vectors to problem solving