2015-yilning variantlari Matematika (Informatika) javoblari bilan

VARIANT № 117
1. Natural sonlardan birini ikkinchisiga bo'lganda, shunday o'nli kasr hosil bo’ldiki, uning butun qismi bo'luvchiga, teng bo’ldi Bo’linuvchini toping.
A) 10 B) 2 C) 3 D) 5
2. aniqmas integralni toping
A) B ) C) D)
3. tenglama [-3π;3π] oraliqda nechta ildizga ega?
A) 1 B) 0 C )2 D) 3
4. tenglamani yeching.
A ) 70 B ) 36 C)1 D) 60
5. Diognallarining soni tomonlarining sonidan 2 marta kam kam bo’lgan qavariq muntazam ko'pburchakning bitta ichki burchagini toping.
A) 90° B) 60° C)45° D) 120°
6. f (x)=7cosx cos6x uchun boshlang’ich funksiyasini toping.
A) 7sin5x+5sin7x+c B ) -7cos5x-5cos7x+c C) 7cos5x-5cos7x+c D) 7sin5x-5sin7x+c
7. (x² +9x +9 ) ( x²+x+9)=9x² tenglamaning haqiqiy ildizlari yig’indisini toping.
A ) -10 B ) - 11 C) -9 D -12
8. bo’lsa, a soni b sonidan necha marta katta?
A) 5 B ) 4 C) 3 D) 2
9. (-3; 4) nuqtaning abscissa, ordinata o'qlariga va koordinata boshiga nisbatan simmetrik bo’lgan nuqtalarni birlashtirishdan hosil bo’lgan uchburchakning yuzini toping.
A) 16 B ) 48 C) 10 D) 24
10. f (x)=18sinx sin6x uchun boshlang’ich funksiyasini toping.
A) 3cos3x-cos9x+c B ) 3sin3x-sin9x+c C) 3sin3x+sin9x+c D) -3cos3x-cos9x+c
11. tenglamani yeching.
A) 1 B ) [0,1] C) 0;1 D) 0
12. Ishchining maoshi ketma-ket ikki marta 15% ga oshirilgandan keyin 793500 so’m bo’ldi. Uning dastlabki maoshi necha so’m bo’lgan.
A) 600000 B ) 575000 C)550000 D ) 650000
13. ni hisoblang.
A) 3,5 B ) 2,5 C) 5,5 D) 4,5
14. f (x)=7sin2x+sin14x funksiyaning hosilasini toping.
A) -28cos6x sin8x B ) 28sin6xsin8x C) 28cos6xcos8x D) 28sin6xcos8x
15. Teng yonli uchburchakning perimetri 52 sm. Agar uning asosi yon tomonining 0,6 qismini tashkil qilsa, unga tashqi chizilgan doira yuzini (sm²) toping.
A) B) C) D)
16. 5: (-8)∙288 - (-76 +13): (-9) + (-13) ifoda qiymatining ¾ qismini aniqlang.
A) 200 B ) 150 C)-150 D)-200
17. sin²⁰¹⁵ x+ cos²⁰¹⁴ x= 1 tenglamani yeching.
A ) B) C) D)
18. Avtomobil haydovchisi birinchi soatda yo’lning yarmini, ikkinchi soatda qolgan yo’lning 1/3 qismini, uchinchi soatda qolgan 56 km masofani bosib o’tdi. Haydovchi 3 soatda jami qancha yo’l (km) masofani bosib o’tgan.
A) 156 B ) 144 C)168 D ) 112
19. Tenglamaning ildizlari kattasidan kichigining ayirmasini toping:
A) 4 B) 7 C )9 D) 8
20. Diognallari o'zaro perpendikular bo'lgan to'g’ri to’rt burchakka tashqi va ichki chizilgan aylana radiuslari farqi bo’lsa, to’g’ri to’rtburchakning yuzi aniqlansin.
A) B ) C ) D)
21. Radiuslari R=3 va r=l sm bo'lgan aylanalar bir-biriga tashqi ravishda urinadi. Aylanalarning urinish nuqtasidan ularning umumiy urinmalarigacha bo’lgan masofani (sm) toping.
A) 1,75 B) 2,25 C) 1,5 D) 2
22. |x²-6ax|=15a tenglama a ning qanday qiymatlarida faqat 2 ta musbat ildizga ega?
A) 3 B) 2; 4 C) ∅ D) (0; 2; 4)
23. Teng yonli trapetsiyaning yon tomoni 10 ga teng, diognali esa o’rta chizig’ini 4,5 va 10,5 ga teng bo’lgan kesmalarga ajratadi. Trapetsiyaning yuzini toping.
A) 120 B) 105 C) 115 D) 110
24. A nuqtadan α tekislikka ikkita AB=15 sm, AC=20 sm og’ma o’tkazilgan. AC og'maning a tekislikdagi proyeksiyasi 16 sm bo'lsa, AB og’maning tekislikdagi proyeksiyasini (sm) toping.
A) 8 B ) 9 C )6 D) 12
25. Tengsizlikning eng katta manfiy butun va eng kichik musbat butun yechimlari yig'indisini toping.
A) 2 B ) 1 C)- 1 D) 0
26. 5200000 sonining nechta natural bo'luvchsi bor?
A) 96 B) 56 C) 48 D) 64
27. ifodaning qiymatini toping.
A) 4 B) 3 C) 2 D) 1
28.
A) -2/3 B ) -1 C) 1 D) 2/3
29. tenglamani yeching. funksiyaning aniqlanish sohasini toping.
A) x>5 B) x<5 O x<5 D)x>5
30.
A) 0 B){-2;2) C) {-2;0;2} D) (2;2)
31.4 megabayt necha bitga teng?
A) 2²⁶ B ) 2²⁴ C) 4∙2²⁵ D)2²⁵
32. 122₍₄₎[phone]₍₈₎ ifodaning natijasi 10 lik sanoq sistemasida nechaga teng bo’ladi?
A ) 171 B ) 172 C)169 D ) 170
33. Dastur interfeysids maxsus buyruqlar va amallar yig'indisi biror bir xususiyatlari asosida birlashshiga ... deyiladi.
A) katalog B) formatlash C) menyu D) defragmentasiya
34. MS Excel 2003 dasturida berilgan ДЛСТР(“ Informatika” )+CP3HAЧ (15;30;3)formulaning natijasini aniqlang.
A) 23 B ) 22 C) 20 D)21
35. Faqat qidiruv tizimlarining nomi ko'rsatilgan javobni aniqlang.
A) Yahoo, Mozilla B ) Yandex, Yahoo C) MS Word, Google D) AdWiper, Rambler
36. Quyidagi Paskal dasturilavhasi bajarilishi natijasida qora fonli ekranda qanday shakl hosil bo’lgan: Setkolor(0); Line (100.100,10,10); Setkolor (15); Restangle (10,10,100,100);
A) to'rtburchak B ) hech qanday C) burchak D) kesma