GEOMETRIK AYNIYATLARNI ISBOTLASHDA KUBIK TENGLAMALAR USULI
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yuza, uchburchak, yarimprimetr,ichki aylana radiusi, tashqi aylana radiusi, aytiyat##article.abstract##
Xalqaro matematika olimpiadalarida geometrik masalalar yechishda ko’plab murakkab geometrik ayniyatlardan foydalaniladi. Jumladan, ushbu tengliklar uchburchak burchaklarining trigonometric yig’indi yoki ko’paytmasi ko’rinishida bo’lib, bu ko’rinishdagi tengliklar asosan murakkab geometrik yasashlar orqali isbotlanadi. Quyida biz ushbu ayniyatlarning kubik tenglamalar usulidan foydalanilgan holda qulay isbotini keltiramiz.
Библиографические ссылки
Amir Hossein Parvardi, 150 Nice geometry problems, 2011
Dusan Djukic, Vladimir Jankovich, The IMO Compendium 2010
Viktor Prasolov translated and edited by Dimitry Leites, Problems in plane and solid geometry, 2001
Загрузки
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2021-04-18
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