2015-yilning variantlari Matematika (Informatika) javoblari bilan

VARIANT № 115
1. f(x)=28sin6xsin8x uchun boshlang’ich funksiyani toping.
A) 7sin2x-sin14x+C B ) 7sin2x+sin14x+C C) 7cos2x-cos 14x+C D) -7cos2x-cos14x+C
2. Agar (0,(1);0,(5);0,(7)) va (0,(2);0,(4);0,(8)) berilgan bo'lsa, ni toping.
A) 50/81 B) 75/81 C) 26/27 D) 25/27
3. Tenglama ildizlarining eng kichigidan eng kattasining ayirmasini toping.
A ) -6 B ) -7 C)-8 D) -4
4. ni hisoblang.
A) 7 B ) 4 C)5 D) 6
5. logx(1/25)=2/3 tenglamadan x ni toping.
A) 225 B) 625 C)125 D)2,25
6. tenglamaning haqiqiy ildizlari yig’indisini toping.
A) 5,5 B) 4 C)5 D) 4,5
7. bo’lsa b-?
A) 134 B ) 17 C) 25 D) 50
8. Yig’indini hisoblang.
A) B) C) D)
9. Diagonallari 30 va 40 ga teng bo'lgan rombning tomonini toping.
A) 23 B) 25 C) 27 D) 22
10. x va 84 sonlaming eng kichik umumiy karralisi 336 ga, eng katta umumiy bo’luvchisi esa 12 ga teng. x ni toping.
A) 60 B) 16 0 48 D) 24
11. y=8cos2x+cos16x funksiyaning hosilasini toping
A) 32cos7x cos9x B ) 32sin7x sin9x C) -32cos7x sin9x D) 32sin7x cos9x
12. kasrning maxrajini irratsionallikdan qutqaring.
A) B) C) D)
13. Uchta brigadada jami 2580 ta ishchi ishlaydi. Birinchi brigadada ikkinchisiga qaraganda 177 ta ishchi ko’p ishlaydi. Uchinchi brigadada ikkinchisiga qaraganda 2,5 marta ko’p ishchi ishlaydi. Har bir brigadada qanchadan ishchi ishlaydi?
A) 705; 535; 1340 B ) 700; 550; 1330 C) 720; 530; 1330 D) 711; 534; 1335
14 . x ning qanday qiymatlarida ifoda ma’noga ega?
A) x>0 B ) x<0 C) x=0 D) x∈R
15. Parallelogramm diagonallarining uzunliklari 6 va 8 ga teng bo’Iib, ular o’zaro perpendikulyar bo'lsa, unga ichki chizilgan doira yuzi aniqlansin.
A) 5.76π B) 4,84 π C) 5,29 π D) 6,76 π
16. Teng yonli tog’ri burchakli uchburchakka ichki chizilgan doiraning radiusi r bilan, perimetrining yarmi esa p bilan belgilandi.Gipotenuzani toping.
A) p+r B) p-r C) r-p D) 2p-r
17. “ Namunali uy” qurish uchun ma’lum bir yer maydoni ajratildi. Agar har bir xonadon bir xil tortburchak shaklida bo’lsa va bitta xonadonning uchta tomoni 80 metr uzunlikdagi devor bilan o’ralsa, har bir xonadon uchun ko’pi
bilan qancha sotix (100 m²) yer maydoni ajratilgan?
A) 10 B ) 6 C) 4 D) 8
18. Yuzi 14 sm² ga teng bo’lgan ABCD to'g'ri burchakli trapetsiyada AB=8 sm, DC=6 sm bo'lsa, A) 120° B) 135° C) 130° D ) 150°
19. tengsizlikni yeching.
A) (-∞;-2)u[2;3) B)(- ∞;1] u(2;3) u { 5 } C)(- ∞;-2] u [1 ;2) u(2;3) D)(- ∞;-2] u { 1 } u(2;3)
20. Agar bo’lsa, ni toping.
A) 2 B ) 3,5 C) 3 D) 2,5
21. x²-4|x-a+3=0 tenglama yagona yechimga ega bo’ladigan a ning barcha butun manfiy qiymatlari yig’indisini toping.
A) -3 B ) ∅ C) 1 D) 2
22. sin6xcos2xA) B) ( ); C) ( D)
23. Tenglamani yeching:5sin⁴x+4cos⁴x=4
A) ± arctg2 + Z
B ) ± arctg2 + Z
C) x₁=
D)
24. tenglamaning nechta yechimi bor?
A) 2 ta B ) 3 ta C) 1 ta D) 4 ta
25. Diagonallarining soni tomonlari sonidan 3 marta ko’p bo’lgan ko’pburchakning barcha ichki burchaklarining yig’indisi topilsin.
A) 1440° B ) 1260° C) 1080° D) 1200°
26. Tengsizlikning eng katta butun va eng kichik musbat butun yechimlari ko’paytmasini toping:

A) 8 B ) 4 C) 6 D) 5
27. (x²+8x+8)(x ²+ x + 8 ) = 8 x² tenglama haqiqiy ildizlari yig’indisini toping.
A ) -11 B ) -8 C)-10 D) -9
28. y=x²⁰¹⁴+2014^x funksiya hosilasining x=0 nuqtadagi qiymatini toping.
A) 1 B)ln2014-1 C)ln2014-2014 D)ln2014
29. Aylana tashqarisidagi O nuqtadan aylanaga
kesuvchi ikkita to'g’ri chiziq o’tkazilgan. O burchak tortib turgan yoylar 5:3 kabi Bu burchaklar yig'indisi butun aylana yoyining 1/3 qismiga teng bo'lsa, O burchakni toping.
A ) 20° B ) 25° C)30° D ) 15°
30. Funksiyaning aniqlanish sohasini toping.
A) (1.5:2) B) [1,5:2] C ) ( 1; 2 ) D )(1,5 ;2];
31. Ali aytdi “ ASCII kodlash usuli tekis kodlash usulidir", Vali aytdi “ Morze kodlash usuli notekis kodlash usulidir’’ ulaming fikrlari haqida nima deya olasiz?
A) Ikkalasi no'to'g'ri fikr aytgan B) Faqat Vali to'g'ri fikr aytgan
C) Faqat Ali to'g’ri fikr aytgan D) Ikkalasi to'g’ri fikr aytgan
32. 122₍₄₎[phone]₍₈₎, jfodaning natijasi 10 lik sanoq sistemasida nechaga teng bo'ladi?
A) 169 B ) 172 C)I71 D) 170
33. Brauzerlar (masalan.Microsoft Internet Explorer) - bu...
A) Internet serverlari B ) antivirus dasturlari C) dasiurlash tili translyatorlari D) web-saxifalarni ko'rish vositasi
34. MS Excelda ИЛИ (25-KOPEHb (36)=1; ЦЕЛОЕ(81/3)>= -1) funksiya natijasini aniqlang
A) ЛОЖЬ B) 0 C) ИCTИHA D) 1
35. Internetdagi ma'lumotlami uzatish qoidalari ... deyiladi.
A) promouterlar B ) protokollar
C) provayderlar D) dasturlar
36. Quyidagi to'plamni Paskal tilida yozilishini aniqlang:
A) ( 1 <=x) OR (x<5) and (x<>3,5) B) (1 3,5)
C) ( 1<=x) and (x<5) and (x<>3,5) D) (1<=x) and (x<5) OR (x<>3,5)