








Analitik geometriya masalalarini yechish bo’yicha ayrim metodik tavsiyalar
Mahsulot tavsifi
Mundarija KIRISH................................................................................................................................... 3 Koordinata o’qlari................................................................................................................................... 7Son o’qi va uning kesimlari. Koordinata chiziqlari....................................................................................................................... 7To’g’ri burchakli Dekartkoordinatalar tekisligi........................................................................................................................ 18Fazoda to’g’ri burchakli Dekart koordinatalar sistemasi...................................................................................................................... 23Yo`naltirilgan kesma.Kesmaning berilgan o’qlardagi proyeksiyalari............................................................................................................. 27Kesmaning uzunligi va o’gish burchagi. Ikki nuqtaorasidagi masofa................................................................................................................................ 27 Uchburchakning yuzi.............................................................................................................................. 34Koordinata o’qlarini parallel ko’chirish va burish.......................................................................................................................... 37I bobning xulosasi............................................................................................................................... 40 Vektorlar.......................................................................................................................... 42Vektor tushunchasi. Vektorning proyeksiyasi................................................................................................................ 42Vektorlarni skalyar ko’paytmasi va vektor ko’paytmasi................................................................................................................ 60II bobning xulosasi............................................................................................................................... 69 Birinchi va ikkinchi tartibli chiziqlar.......................................................................................................................... 71To’g’ri chiziqning umumiytenglamasi. Ikki to’g’richiziqning kesishuvi..................................................................................................................... 71Uchta to’g’richiziqning bir nuqtadan o’tish sharti........................................................................................................................... 80To’g’ri chiziqlar dastasi......................................................................................................................... 83Ellips va uning kanonik tenglamasi. Ellipsning qutb koordinatalar sistemasidagi tenglamalari................................................................................................................ 86Aylana va uning kanonik tenglamasi. Aylananing qutb koordinatalar sistemasidagi tenglamasi.................................................................................................................... 93Giperbola va uning kanonik tenglamasi. Giperbolaning qutb koordinatalar sistemasidagi tenglamalari................................................................................................................ 98Parabola va uning kanonik tenglamasi. Parabolaning qutb koordinatalar sistemasidagi tenglamalari..................................................................................................................... 108III bobning xulosasi........................................................................................................................................... 117 Xotima............................................................................................................................................... 118 Foydalanilgan adabiyotlar 122
Teglar
Analitik geometriya masalalarini yechish bo’yicha ayrim metodik tavsiyalar

Muallif
Xolboyev Ramazon
Tasdiqlangan sotuvchi