Funksiyaning eng
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2015-yil math
32-VARIANT
1. 7 2 3 3 x x tenglamaning yeching. A) 16
2 B) 16 1
; 6 C) D) 6 2. Diagonallari o`zaro perpendikilyar bo`lgan to`g`ri to`rtburchakka tashqi va ichki chizilgan aylana radiuslari 2 2 3 bo’lsa, to`g`ri to`rtburchakning yuzi aniqlansin. A)
8 2 8 B)
2 2 3 C)
2 6 9 D) 2 8
3. Tengsizliklar sistemasini yeching: 2 3 0 24 11 2 x x x
A) 5 ; 3 B) 5
3 C)
; 3 D) 5 ; 3
4. 2 2 2 9 9 9 9
x x x x tenglama haqiyqiy ildizlari yig`indisini toping. A) -12 B) -9 C) -11 D) -10 5. Agar
1 2 x x g funksiyadan
1 2 x x f g
funksiya tuzilgan bo`lsa,
x f funksiyani toping. A) x+1 B) 2x-1 C) x-1 D) 2x+1 6.
12 3 5 2
x x f funksiyaning hosilasini toping. A)
x x x 11 2 3 3 5 2 3 B) 12 3
3 x x
C) 3
x D) 3 10
x
7. x x x f 9 cos 3 sin
24 uchun boshlang`ich funksiyani toping. A)
12 cos
6 cos
2 B) C x x 12 sin
6 sin
2 C) C x x 12 cos 6 cos
2
D) C x x 2 sin
6 sin
2
8. Do`konga keltirilgan mahsulortlar 40% foyda bilan sotilayotgan edi. Narx 20% ga pasaytirganda shim 72800 so`mdan sotilgan bo`lsa, necha foyda ko`rilgan? A) 7000 B) 7600 C) 7800 D) 7200 9. Tenglama nechta haqiyqiy yechimga ega? 1 2 5 2 log 2 1 log 2 2 1 2 x x x x x
A) 3 ta B) 2 ta C) 1 ta D) 4 ta 10.
8 4 6 6 1 5 , 0 4 , 1 5 , 2 8 , 0 : 20 : 36 ni
hisoblang. A) 2,1 B) -5,1 C) 5,1 D) 4,1 11.
2 7 2 log
2 49 log 3 log
5 tenglamadan x ni toping.
A) 16 B) 4 C) 2 D) 8 12. Natural bo`luvchilari soni eng ko`p bo’ladigan uch xonali natural sonni toping. A) 804 B) 480 C) 840 D) 908 13.
25 ln ln 9 ln 3 3 5 5 ifodaning qiymatini toping. A) 7 B) 3 C) 5 D) 15 14.
3 2 3 3 5 3 2 3 3 3 2 3 5 2 2 3 3 y xy y y x y x x y x y x ifodani soddalashtiring va x=64 78 31 y da son qiymatini toping. A) 15 B) 12 C) 16 D) 18 15. O`suvchi arifmetik progressiyaning dastlabki uchta hadi yig`indisi 21 ga teng. Bu hadlari mos ravishda 1;1;5 qo`shilsa, qo`shilsa, geometric progressiya hosil bo`ladi. Shu geometrik progressiyaning hadlarini toping. A) 4;8;16 B) 3;6;12 C) 2;6;8 D) 4;12;36 16. O nuqtadan aylanaga ikkita urinma o`tkazilgan. Bu urinmalar aylana yoy;arini 13:5 nisbarda bo`lsa, O nuqtadagi burchakni toping. A)
B) 80 C) 70 D) 100 17.
9 3 1 1 x ko`rsatkichli tengsizlikni toping. A) 2
1
B) 2 1
C) 1 x D) 2 1
x
18. Ifodaning soddalashtiring.
. 1 3 ...
1 3 1 3 1 3 2 2 2 2 2 1 0 n
A) 1 3 1 2 B) 1 9 2 1 1 n
C) 1
1 n D)
3 2 1 1 2 n
19. Agar , , uchburchakning ixtiyoriy ichki burchaklari bo`lsa, cos
2 cos
2 cos
2 ning eng katta qiymatini toping. A) 3
B) 2 2 C) 3 2 D) 3 20.
4 ; 3 nuqtaning abssissa ordinata o`qlariga va koordinata boshiga nisbatan simmetrik bo`lgan uchburchakning yuzini toping.
A) 48 B) 16 C) 10 D) 24 21. Balandligi 1 sm bo`lgan uchburchakli muntazam piramida Asosining tomoni 6 sm bo`lsa, uning apofemasini (sm) toping. A)
3 B) 3 C) 1,5 D) 2 22. Firmada topshiriqni uch kunda bajardi. U birinchi kuni 2 1 12 ga yer haydadi, ikkinchi kuni 4 3
ga yer haydaydi. Agar
fermer kuniga o`rtacha 4 1 14 ga yer haydagan bo`lsa, uchinchi kuni necha gektar yer haydagan? A) 16,5 B) 15,5 C) 13,5 D) 14,5 23. Amallarni bajaring:
64 , 0 5 , 12 0925 , 0 : 3 12 , 0 25 , 0 : 3 1 6 , 0 . A) 11 B) 7 C) 3 D) 8 24. Rasmda keltirilgan shakl yuzini toping. Bunda barcha burchaklar to’g’ri burchaklardir.
A)
2 14a B) 2 13a C) 2 16a D) 2 15a 25. Agar ABC uchburchakda BE mediana va AD bissektrisalar o`zaro perpendikulyar bo`lsa, AB:AC nisbatni toping. A) 1:3 B) 1:2 C) 2:1 D) 3:1 26.
10 cos 3 6 cos 5 funksiyaning hosilasini toping. A)
8 cos 2 sin
60 B) x x 8 sin 2 cos
60
C) sin8x
60sin2x D) x x 8 sin 2 cos
60 27.
5 5 4 4 30 6 x x x x tenglamani yeching. A) 5,5;6 B) -5,5;-6 C) 6,5;6 D) 5,5;6 28.
x x x 20 5 sin 21 20 2 2 tenglama 3 ; 3 oraliqda nechta ildizga ega? A) 2 B) 3 C) 0 D) 1 29.
20 8 2 2
x y x sistemaning yechimlari soni n bo`lsa, 4 4 4 2 4 2 4 1 4 1 ... n n y x y x y x
ifodaningqiymatini toping. A) 1012 B) 1088 C) 1024 D) 100 30.
x x x x 3 cos 5 sin
2 cos
6 sin
tenglamani yeching. A)
, 2 B) Z k k , 3 6
C) Z k k , D) Z k k , 6
31. Faqat qidiruv tizimlarining nomi ko`rsatilgan javobni aniqlang. A) AdWiper,Ramber B) MS Word, Google C) Yahoo, Mozilla D) Yandex, Yahoo 32. Paskal tilida berilgan ifodaning qiymatini toping: trunc(sqrt(225)/int(-5,3)). A) -5 B) 3 C) -3 D) 5 33. Informatkaning algoritmlarni ishlab chiqarish, ularni tuzish usuli va uslublarini o`rganish yo`nalishi…. A) Freeware B) Hardware C) Brain ware D) Software 34. Turli sanoq sistemasida berilgan quydagi sonlardan eng kattasini aniqlang: A) 10
, 51 B) 8 076
, 21 C) 2 10 , 1011 D) 16 ,
35. MS Excel 2003 dasturida berilgan 17 ; 16 ; 15 0012
, 0
ДЛСТР formulaning natijasini aniqlang. A) 20 B) 21 C) 22 D) 23 36. Axborot hajmining 1 kilobayt va 1 gigabayt o’lchov birliklari orasidagi o’lchov birligini aniqlang. A) 1 megabayt B)1 petabayt C) 1 terabayt D) 1 bayt
33-VARIANT 1.
1 1 3 log 2 1 x x x tenglamani yeching. A)
2. 6 1 6 7 3 1 3 2 3 5 2 b b b b b ni soddalashtiring. A) 2 2
b B) 2 1
1 b b C) 1
b b D) 1 3.
15 5 2 tenglama a ning qanday qiymatlarida faqat 2 ta manfiy ildizga ega? A)
4 , 2 ; 0 D) 3 4. 90 soni qaysi eng kichik natural songa ko’paytirilganda, ko’paytma butun sonning kvadrati bo’ladi? A) 40 B) 90 C) 10 D) 30
, 1 ; 3 ; m m a va 4 ; 2 ; m b
vektorlar o’zaro perpendikulyar bo’ladi? A) -5 B) 2;5 C) 3;5 D) 1;5 6. 3
3 100
... 2 1 sonli ifoda qiymatini 3 ga bo’lgandagi qoldoqni toping. A) 0 B) 1 C) 2 D) aniqlab bo’lmaydi 7. Piramida asosining yuzi 512 ga, uning balandligi 16 ga teng. Asosiga parallel bo’lgan kesimning yuzi 50 ga teng bo’lsa, u asosdan qanday masofada joylashgan? A) 10 B) 8 C) 9 D) 11 8.
3 2 1 3 3 2 4 7 2 2 1 3 2 x tenglamani yeching. A) 6
1 B) 3 C) 3 2
7 2
9. Parallelogramm diagonallarining uzunliklari 6 va 8 ga teng bo’lib, ular o’zaro perpendikulyar bo’lsa, unga ichki chizilgan aylana radiusi topilsin. A) 1,8 B) 1,2 C) 2,4 D) 3 10. Ikki xonali sonning o’nliklari soni birliklari sonining 3 2 qismiga teng. Bu sonni uning teskari tartibda yozilganidan ayirsak, ayirma 18 bo’ldi. Shu sonni toping. A) 46 B) 48 C) 24 D) 32 11.
1 2 aniqmas integralni toping. A)
x x 1 1 3 2 2 2 B) C x 1 3 2 2 C)
x x 1 1 2 2 D) C x x 1 1 3 1 2 2
a a 2a 2a 2a
2a a a a 3a
a a 3a 12. 0 1 4 1 5 2 2 x x x x tenglamaning haqiqiy yechimlari ko’paytmasini toping. A) 1 B) 2 5
C) 0 D) 2 5
13. Arifmetik progressiyada d=6, n=40, 254
a
bo’lsa, 2 a ni toping. A) 40 B) 26 C) 20 D) 10 14. 8
lg x y funksiyaning aniqlash sohasini toping. A)
; 3 2 3 2 ; B) ; 3 2
C)
; 3 4 3 4 ; D) 3 4 ; ;
15. m ning nechta qiymatida 2 1 3 3
m x x m x
tenglama bitta ildizga ega? A) 3 B) 4 C) 2 D) 1 16.
0 2 sin 3 3 2 cos 3 x x trigonometrik tenglamani yeching. A)
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