On Calculating Angles Between Straight Lines and Planes in Geometry Training
https://doi.org/10.31161/1995-0659-2024-18-3-39-44
Abstract
Aim. Consider the possibility of using the vector coordinate method in calculating angles between straight lines and planes.
Methods. An analytical and synthetic method that allows you to calculate the angles between straight lines and planes without making a visual drawing.
Result. The use of the coordinate method in calculating angles is illustrated by examples of solving various types of stereometric problems.
Conclusion. The vector coordinate method can be effectively used in solving stereometric problems for calculating angles between straight lines and planes.
About the Authors
M. A. Gadzhimuradov
Gamzatov Dagestan State Pedagogical University
Russian Federation
Russian Federation
Madrid A. Gadzhimuradov, Ph. D. (Physical and Mathematical Sciences), рrofessor
сhair of Higher Mathematics
Makhachkala
Z. D. Gadzhieva
Gamzatov Dagestan State Pedagogical University
Russian Federation
Russian Federation
Zulfiya D. Gadzhieva, Ph. D. (Physical and Mathematical Sciences), assistant professor
сhair of Higher Mathematics
Makhachkala
References
1. Atanasyan L. S. Geometriya 10-11. Uchebnik dlya obshcheobrazovatel'nykh uchrezhdenij [Geometry 10-11. Textbook for general education institutions]. Moscow: Enlightenment, 2009. 255 p. (In Russian)
2. Gadzhimuradov M. A. Praktikum po ehlementarnoj geometrii. Uchebnoe posobie [Practicum on elementary geometry. Textbook. Makhachkala, Alef, 2014. 108 p. (In Russian)
3. Gadzhimuradov M. A. Formirovanie i razvitie prostranstvennogo myshleniya na urokakh geometrii s pomoshch'yu komp'yuternykh tekhnologij [Formation and development of spatial thinking in geometry lessons using computer technology]. Dagestan State Pedagogical University. Journal. Psychological and Рedagogical Sciences. 2019. Vol. 13. No. 3. (In Russian)
4. Sevryukov P. V. Vektory i koordinaty v reshenii zadach shkol'nogo kursa stereometrii. Uchebnoe posobie [Vectors and coordinates in solving problems of the school course of stereometry. Textbook]. Moscow: Ilex: Research Institute of School Technologies. Stavropol. Service school, 2008. 163 p. (In Russian)
5. Edinyj gosudarstvennyj ehkzamen. Matematika. Profil'nyj uroven'. Tipovye ehkzamenacionnye varianty [Unified State exam. Mathematics. Profile level. Typical exam options]. Edited by I. V. Yaschenko, 2023.
Review
For citations:
Gadzhimuradov M.A., Gadzhieva Z.D. On Calculating Angles Between Straight Lines and Planes in Geometry Training. Dagestan State Pedagogical University. Journal. Psychological and Pedagogical Sciences. 2024;18(3):39-44. (In Russ.) https://doi.org/10.31161/1995-0659-2024-18-3-39-44
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