IKKINCHI TARTIBLI CHIZIQLARNING QUTB KOORDINATALARIDAGI TENGLAMALARI, ULARNING ANALITIK TAHLILI VA GEOMETRIK TALQINI

Mualliflar

  • Usibjonova Oygul Almardon qizi Matematika yoʻnalishi 1-kurs talabasi Muallif
  • Maxmudova Dilnoza Xaytmirzaevna Ilmiy maslahatchi: Namangan davlat universiteti O’zbekiston Muallif

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konika, qutb koordinatalar, eksentrisitet, fokus, direktrisa, ellips, parabola, giperbola, analitik geometriya.

Abstrak

Ushbu maqolada ikkinchi tartibli chiziqlarning (konikalar) qutb koordinatalardagi tenglamalari, ularning analitik tahlili va geometrik talqini o‘rganiladi. Natijalarda konikalarning umumiy tenglamasi  ko‘rinishda ifodalanishi, bu yerda - eksentrisitet orqali ularning turlari aniqlanishi ko‘rsatildi. Muhokamada ushbu tenglamalarning mexanika, astronomiya va optikadagi qo‘llanilishi tahlil qilindi. Xulosa sifatida qutb koordinatalar konikalarni tabiiy va qulay ifodalash vositasi ekanligi asoslandi.

Iqtiboslar

George B. Thomas – Calculus and Analytic Geometry

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Karimberdiyeva , D. ., & Mahmudova , D. . (2025). Tekislikdagi perspektiv-affin moslikning o’ziga xos xususiyatlari. Развитие педагогических технологий в современных науках, 4(3), 114–117.

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Ismoilova, D., & Mahmudova, D. (2025). Ko ‘po ‘lchovli yevklid fazosi: o ‘qitish texnologiyasi asosida yondashuv. In Innov. Conf. Published online April (Vol. 17, No. 2025, pp. 1-7).

Khaitmirzayevna, Makhmudova D. "Pedagogical Ways of Cognitive Competences in Future Teachers Based on Acmeological Approach." World Economics and Finance Bulletin, vol. 32, 23 Mar. 2024, pp. 146-148

Abdiqayumov, A., & Maxmudova, D. (2025). Central and parallel projections and their properties. Теоретические аспекты становления педагогических наук, 4(8), 177-184.

Abdulhamidova, M., Maxmudova, D. Proyektiv geometriyaning asosiy faktlari. (2026). Zamonaviy taraqqiyot va fan: 21-asr yondashuvlari, 6(1), 282-293. https://journalss.org/index.php/zam/article/view/25424

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Nashr qilingan

2026-04-28

Iqtibos keltirish tartibi

IKKINCHI TARTIBLI CHIZIQLARNING QUTB KOORDINATALARIDAGI TENGLAMALARI, ULARNING ANALITIK TAHLILI VA GEOMETRIK TALQINI. (2026). Yosh Olimlar, 4(33), 20-25. https://www.in-academy.uz/index.php/YO/article/view/38702
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