Геометрия 10кл Шыныбеков

Foreword

Questions and problems for reviewing the plane geometry course

Problems for reviewing the plane geometry course

Chapter I. Parallelism of lines and planes

§1. Axioms of solid geometry and some of their consequences

§2. Parallelism of lines and planes in space

§3. Relative position of two planes

Chapter II. Perpendicularity of lines and planes

§1. Perpendicularity of a line and a plane

§2. The theorem of three perpendiculars

§3. Angle between a line and a plane. Dihedral angles

§4. Representing spatial figures on a plane

Chapter III. Vectors in space

§1. Concept of vectors in space and operations with them

§2. Coordinates of a point and a vector in space

§3. Scalar product of vectors. Dividing a segment in a given ratio

§4. Equations of a plane. Defining spatial figures using equations and inequalities

§5. Applying vectors in problem solving

Chapter IV*. Equations of a line and a plane in space

§1*. Determinants of the second and third orders

§2*. Vector product of vectors

§3*. Mixed product of vectors

§4*. Equations of a plane

§5*. Equation of a line in space

§6*. Relative positions of lines and planes in space

§7*. Distance in space

§8*. Determining angles in space

§9*. Application of the coordinate method in space

Answers to problems