Akademik litsey “”International Нouse-Tashkent” iii-kurs Matematika

18-VARIANT
1. Soddalashtiring:

2. Tenglamani yeching: cos2x+sin2x=

3. Tengsizlikni yeching

4. oraliqda funksiyaning kesmadagi eng katta va eng kichik qiymatlarining yig’indisini toping.

5. ­­­­­­­­­­­­­­­­Aylanaga tegishli bo`lmagan A nuqtadan unga urinma va kesuvchi o`tkazilgan. A nuqtadan urinish nuqtasigacha bo`lgan masofa 12 sm, kesuvchining aylana bilan kesishish nuqtalaridan birigacha bo`lgan masofa 18 sm ga teng . Agar uning markazidan kesuvchigacha bo`lgan masofa 3 sm ga teng bo`lsa , aylana radiusini toping.
6. Tеng yonli uchburchakning uchidan tushirilgan balandligi 25 sm ga tеng, ichki chizilgan aylananing radiusi 8 sm ga tеng bo’lsa, uchburchakning asosini toping.
7. Muntazam uchburchakl kesik piramidaning balandligi 12 sm, asoslari mos ravishda ga _{ }sm va _{ } sm ga teng. Piramidaga tashqi chizilgan sharninf hajmini toping.
19-VARIANT
1. Ifodani soddalashtiring:

2. Tenglamalar sistemasini yeching: _{ }

3. Tenglamani yeching:

4. funksiyalarning aniqlanish sohasini toping

5. Katеtlari 24 va 18 sm bo’lgan to’g’ri burchakli uchburchak o’tkir burchaklarining bissеktrisalarini toping.
6. y va x larning qanday qiymatlarida va vektorlar parallel bo`ladi.
7. Muntazam to’rtburchakli piramidaga hajmi 32π/3 ga teng bo’lgan shar ichki chizilgan.

Piramidaning hajmini toping, agar uni balandligi 6 ga teng bo’lsa.