Geometry. Learn to solve problems in various ways. Roop your brains! Profile level. Balayan E.

The book proposed is devoted to solving the same problem, but in different ways. The number of these methods is from 2 to 13, while the original ideas and methods of solutions are used, which contribute to increasing the level and quality of knowledge necessary for the successful surrender of the exam in mathematics of a specialized level and victory at olympiads at various levels. The solution to the same problem in different ways makes it possible to more fully investigate the properties of the geometric figure and identify the simplest solutions. The found method of solving in the future is often used in solving more difficult problems. At the same time, the student develops his creative capabilities, forms cognitive interest, develops research skills. The book has three paragraphs, of which the first two contain detailed solutions and justification of planimetry problems. At the end of the second paragraph, tasks are given for independent solution, to which answers are given. The third paragraph gives selected tasks to use the formulas of Pythagoras, which are only mentioned in the geometry textbook. In addition, the book has brief theoretical information throughout the geometry rate of grades 7-9. The book is addressed to students in grades 7-11, applicants, mathematics teachers, tutors and all fans of mathematics.