Russian Federation
The first part of the profile Unified State exam in mathematics now includes a task on vectors. This task was added not only to teach students basic skills, but also to stimulate their interest and desire to use vector methods in solving geometric problems. However, in order for students to master the application of this solution method at a good level, they need a methodologically correct approach and a consistent selection of problems with increasing complexity. In this article we present a selection of geometry tasks for schoolchildren that can be solved using vector methods. These tasks are divided into skill levels. A consistent increase in the level of difficulty of the tasks will help the teacher better prepare students to solve geometric problems in the second part of the profile exam using vectors.
vector methods for schoolchildren, stereometric problems
1. Yaschenko I.V., Vysockiy I.R., Semenov A.V. Metodicheskie rekomendacii dlya uchiteley, podgotovlennye na osnove analiza tipichnyh oshibok uchastnikov EGE 2022 goda po matematike [elektronnyy resurs] // Federal'nyy institut pedagogicheskih izmereniy. Moskva, 2022. /URL:https://doc.fipi.ru/ege/analiticheskiei-metodicheskie-materialy/2022/ma_mr_2022.pdf
2. Yaschenko I.V., Vysockiy I.R., Samsonov P.I., Semenov A.V. Metodicheskie rekomendacii dlya uchiteley, podgotovlennye na osnove analiza tipichnyh oshibok uchastnikov EGE 2024 goda po matematike [elektronnyy resurs] // Federal'nyy institut pedagogicheskih izmereniy. Moskva, 2024. /URL:https://doc.fipi.ru/ege/ analiticheskie-i-metodicheskie-materialy/2024/ ma_mr_2024.pdf
3. Mahadarova O.V., Susanina S.N. Lineynaya algebra. Vektornaya algebra. Analiticheskaya geometriya: uchebno-metodicheskoe posobie // Yoshkar-Ola: Povolzhskiy gosudarstvennyy tehnologicheskiy universitet, 2024. 108 s. / URL: https://znanium.ru/catalog/product/2179680
