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Journal Title: Вестник московского государственного областного университета. Серия: Физика-математика

ISSN: 2072-8387 (Print); 2310-7251 (Online)

Publisher: Moscow Region State University Editorial Office

Society/Institution: Moscow Region State University

LCC Subject Category: Science: Mathematics

Country of publisher: Russian Federation

Language of fulltext: Russian

Full-text formats available: PDF



Казаков Никита Александрович

Кузнецова Татьяна Ивановна


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Time From Submission to Publication: 13 weeks


Abstract | Full Text

One of the most important educational goals of modern school is to prepare students for the successful completion of final exams. The structure of the Unified Sate Exam in profile-level mathematics includes the proof of increased complexity for geometric problems, requiring students to have a comprehensive knowledge of planimetry. The most important feature is the lack of unified algorithms for solving such problems; the success largely depends on the students’ experience in solving combined planimetric problems. Nevertheless, the practice of solution allowed us to identify some geometric structures that are auxiliary keys to finding the right solution. One of these keys was the auxiliary circle method, which is presented in this paper. The paper describes the essence of the method and the conditions of its application, examines the proofs for the problems taken from real test and measurement materials of the exam, and considers the solutions of the problems in the framework of the described method.