Funksiyaning eng
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2015-yil math
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18-VARIANT
1. 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 2. Do’konga keltirilgan mahsulotlar 40% foyda bilan sotilayotgan edi. Narx 20% ga pasaytirilganda shim 72800 so’mdan sotilgan bo’lsa, necha so’m foyda ko’rilgan? A) 7000 B) 7600 C) 7800 D) 7200 3.
x x x f 9 cos 3 sin
24 uchun boshlang’ich funksiyani toping. A) 2cos6x-cos12x+C B) 2sin6x+sin12x+C C) -2cos6x-cos12x+C D) 2sin6x-sin12x+C 4. y=5cos2x+cos10x funksiyaning hosilasini toping. A)
x x 6 cos 4 sin
20 B) x x 6 sin 4 sin
20
C) x x 6 cos 4 cos
20 D) x x 6 sin 4 cos
20 5.
2 2 2 9 9 9 9 x x x x x tenglama haqiqiy ildizlari yig’indisini toping. A) -12 B) -9 C) -11 D) -10 6.
6 1 5 1 1 6 1 8 1 1 12 1 10 1 1 ni hisoblang. A) 2
B) 1 C) 10 D) 12 7.
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 8.
20 8 2 2
x y x sistemaning yechimlari soni n bo’lsa, 4 4
2 4 2 4 1 4 1 ...
n n y x y x y x ifodaning qiymatini toping. A) 1012 B) 1088 C) 1024 D) 100 9.
2 7 2 log
2 49 log 3 log
5 tenglamadan x ni toping. A) 16 B) 4 C) 2 D) 8 10. O nuqtadan aylanaga ikkita urinma o’tkazilgan. Bu urinmalar aylana yoylarini 13:5 nisbatda bo’lsa, O nuqtadagi burchakni toping. A)
90 B) 80 C) 70 D) 100
11.
9 , 0 95 , 0 19 , 0 65 , 0 13 , 0 5 , 0 1 , 0 ni hisoblang. A) -0.4 B) -0.6 C) 0.4 D) 0.(6) 12.
12 3 5 2 x x x f funksiya hosilasini toping. A)
11 2 3 3 5 2 3 B) 12 3
3 x x
C) 10x-3 D) 10x+3 13. Ifodani soddalashtiring: 1 3 ... 1 3 1 3 1 3 2 2 2 2 2 1 0 n
A) 1 2 3 n B)
1 9 2 1 1 n C)
1 9 1
D)
1 3 2 1 1 2
14.
x x x x 3 cos 5 sin
2 cos
6 sin
tenglamani yeching. A)
Z k k , 2 B) Z k k , 3 6
C) Z k k , D) Z k k , 6
15. 2 2 2 2 2 x tenglamaning ildizi qaysi oraliqqa tegishli? A)
5 ; 3 B) 2 ; 1 C)
; 3 D) 3 ; 2
16. Agar lg5=a va lg3=b bo’lsa, 8 log 30 ni toping. A)
b a 1 1 3 B) a 1 3
C)
b a 1 1 3 D) 1+b 17.
9 3 1 1 x ko’rsatkichli tengsizlikni yeching. A) 2
1
B) 2 1
C)
1 x D) 2 1
x
18. Balandligi 1 sm bo’lgan uchburchakli muntazam piramida asosining tomoni 6 sm bo’lsa, uning apofemasini (sm) toping. A) 3
19. 25 ln 1 ln 9 ln 3 3 5 5 ifodaning qiymatini toping. A) 7 B) 3 C) 5 D) 15 20. Tengsizliklar sistemasini yeching:
2 3 0 24 11 2 x x x
A) 5 ; 3 B) 5
3 C)
; 3 D) 5 ; 3
21.
2 2 2 2 2 2 2 2 9 1 ... 3 7 2 8 1 9
ko’paytmasini hisoblang. A) 480000 B) 86420000 C) 10000 D) 0 22. 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 23. Fermer topshiriqni uch kunda bajardi. U birinchi kuni 2
12 ga yer haydadi, ikkinchi kuni 4 3
ga yer haydadi. Agar fermer kuniga o’rtacha 4 1
ga yer haydagan bo’lsa, uchinchi kuni necha gektar yer haydagan? A) 16.5 B) 15.5 C) 13.5 D) 14.5 24.
4 ; 3 nuqtaning absissa, ordinata o’qlariga va koordinata boshiga nisbatan simmetrik bo’lgan nuqtalarini birlashtirishdan hosil bo’lgan uchburchakning yuzini toping. A) 48 B) 16 C) 10 D) 24 25. O’suvchi arifmetik progressiyaning dastlabki uchta hadi yig’indisi 21 ga teng. Bu hadlarga mos ravishda 1; 1; 5 qo’shilsa, geometrik progressiya hosil bo’ladi. Shu geometrik progressiyaning hadlarini toping. A) 4; 8; 16 B) 3; 6; 12 C) 2; 6; 18 D) 4; 12; 36 26. 3 ga karrali ketma-ket ikki natural sonlarni ko’paytmasi 270 ga teng. Shu sonlarning kichigini toping. A) 12 B) 18 C) 15 D) 21 27. Diagonallari o’zaro perpendikulyar bo’lgan teng yonli trapetsiyaning yuzasi 289 ga teng. Uning balandligini toping. A) 13 B) 17 C) 19 D) 15 28. Aylananing ikkita vatari O nuqtada kesishadi va kesishish nuqtasida birinchi vatar 12 va 18 ga, ikkinchi vatar esa 3:4 nisbatda bo’linadi. Ikkinchi vatarning uzunligini toping. A) 2
B) 2 14 C) 2 21 D) 2 12 29. Tenglama nechta haqiqiy yechimga ega?
1 2 5 2 log 2 1 log 2 2 1 1
x x x x
A) 3 B) 2 C) 1 D) 4 30. Rasmda keltirilgan shakl yuzini toping. Bunda barcha burchaklar to’g’ri burchaklardir.
A)
2 14a B) 2 13a C) 2 16a D) 2 15a 31. 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 32. Turli sanoq sistemasida berilgan quyidagi sonlardan eng kattasini aniqlang: A) 10
, 51 B) 8 076
, 21
C) 2 10 , 1011
D) 16 , 89 A 33. Informatikaning algoritmlarini ishlab chiqish, ularni tuzish usul va uslublarini o’rganish yo’nalishi ... . A) FreeWare B) Hardware C) Brain ware D) Software 34. MS Excel 2003 dasturida berilgan
17 ; 16 ; 15 0012 . 0 МИН ДЛСТР formulaning natijasini aniqlang. A) 20 B) 21 C) 22 D) 23 35. Faqat qidiruv tizimlarining nomi ko’rsatilgan javobni aniqlang. A) AdWiper, Rambler B) MS Word, Google C) Yahoo, Mozilla D) Yandex, Yahoo 36. Paskal tilida ketma-ketlik ko’rinishida yozilgan quyidagi massiv elementlari sonini aniqlang: 3 ,
,... 5 , 9 , 3 , 10 , 4 , 10 , 5 , 10 S S S S S
A) 18 B) 15 C) 9 D) 24 19-VARIANT 1. Diagonallarining soni tomonlarining soniga teng bo’lgan ko’pburchakning ichki burchaklari yig’indisini toping. A)
720 C) 360 D) 180
2. x x 4 2 5 . 0 7 7 tenglamaning ildizlari quyidagi oraliqlarning qaysi biriga tegishli? A)
0 ; 10 B) 30 ; 50
C) 50 ; 60 D) 10 ; 25
3. y=5cos3x-3cos5x funksiyaning hosilasini toping. A) x x 4 sin sin 30 B) x x 4 cos cos 30 C)
x x 4 cos sin 30 D) x x 4 sin cos 30
4. 1 2 2 2 2 2 3 2 3 5 6 5 3 x x x x x x x tengsizlikning eng katta manfiy butun yechimining eng kichik musbat butun yechimiga nisbatini toping. A) -1 B) 2 1 C) 2 1 D) -2 5. Tenglamani yeching: 3 log 1 4 log 3 2 log 4 2 1 2 4 x x x
A) 14 B) 13 C) 10 D) 12 6. 2 9 4 log 2 4 1 2 x x x tengsizlikni yeching. A)
2 ; 1 1 ; 2 B) 2 ; 1 1 ; 2 C)
; 2 2 ; D) 2 ; 2 2 ; 2 7.
29 30 1 ... 5 4 1 4 3 1 3 2 1 ni hisoblang. A) 3
B) 32 C) 2 2
D)
2 30 8. x ning qanday qiymat(lar)ida barcha y lar uchun a a
2a 2a
2a a a a 3a
a a 3a 2x-12y+8xy-3=0 tenglik o’rinli bo’ladi? A)
3 2 yoki 4 1 B)
3 2 C) 2 3 D) 2 3 yoki 4 1 9.
x 2 1 ni hisoblang. A) lnx+C B)
x 2 2 1
C)
2 ln D)
x 2 lg 2 1
10. a ning qanday qiymatida 0 3 2
ax a
tenglama yagona ildizga ega? A) a=0; a=-12 B) a=12 C) a=0; a=12 D) a=0 11. Kasr qisqarishi mumkin bo’lgan m ning eng katta va eng kichik qiymatlari farqini toping: 6 4
2 2 3
x x x x
A) 12 B) 7 C) 17 D) 15 12. Teng yonli uchburchakga ichki chizilgan aylananing markazi uning asosiga tushirilgan balandligini uchidan boshlab hisoblaganda 5 va3 ga teng kesmalarga ajratadi. Uchburchakning yuzini toping. A) 54 B) 52 C) 50 D) 48 13. Uchlari 2 ; 3 A , 4 ; 3 B va
2 ; 5 C nuqtalarda bo’lagan uchburchakning AB va BC tomonlari o’rtalarini tutashtirishdan hosil bo’lgan chiziqning uzunligini toping. A)
5 2 B) 5 C) 2 5 D) 5 3
14. 24 ;
a vektorning absolyut qiymati 24 ga, m b ; 5 vektorning absolyut qiymati esa 13 ga teng. m va n ni toping. A) 7
12
m B) m=12; n=8 C) m=10; n=7 D) m=10; n=-7 15. Ikki xonali sonning raqamlari orasida 2 ni yozib uch xonali son hosil qilindi va u ikki xonali sondan to’qiz marta katta bo’ladi. Berilgan sonning raqamlar yig’indisini toping. A) 6 B) 7 C) 8 D) 3 16. Usta ishning 0.75 qismini 4 17 soatda bajaradi. Shu ishning 5 4
A) 15 8 4 B) 5 1
C) 85 31 D) 15 7 4
17.
4 2 sin 2 2 4 cos
4 sin
x x x
tenglamaning 2 ; 0 oraliqdagi yechimlari yig’indisini toping. A)
6 B) 0 C) 3 D) 2
18. Tenglamani yeching: 1 2 sin 2 cos 3 x x
A) Z k k k , 2 2 ; 2 B) Z k k k , 4 3 ; 4
C) Z k k , 4 D) Z k k k , 4 3 ; 4
19. Amallarni bajaring:
64 , 0 5 , 12 0925 , 0 : 3 12 , 0 25 , 0 : 3 1 6 , 0
A) 3 B) 8 C) 11 D) 7 20. a ax x 15 5 2 tenglama a ning qanday qiymatlarida 3 ta ildizga ega bo’lib, biri musbat, qolgan ikkitasi esa manfiy bo’ladi? A)
B)
, 2 ; 0 C) 3 D) 2,4 21. ABCD trapetsiya AB yon tomoning o’rtasidagi E nuqtadan CD tomonga parallel qilib AD katta asos bilan G nuqta uchrashguncha to’g’ri chiziq o’tkazilga. Agar AG=5 dm va GD=2,5 m bo’lsa, trapetsiyaning asoslarini (m) toping. A) 2,1 B) 2,2 C) 3,2 D) 3,1 22. To’g’ri burchakli uchburchakning perimetri 24 sm ga, yuzi 24 2
yuzini ( 2
A)
B) 20 C) 35 D) 30
23. 3 2 1 log 3 3 x tenglamadan x ni toping. A) 3
3 1 C) 3 D) 3 1
24. 2 2 2 8 8 8 8
x x x x tenglama haqiqiy ildizlari yig’indisini toping. A) -10 B) -11 C) -8 D) -9 25. Yig’indini hisoblang: ...
064 , 0 4 , 0 5 , 2 A)
4 125
B) 18 125 C) 18 115 D) 3 125 26.
0 2 7 2 7 2 6 2 2
x x x tenglamaning katta ildizini toping. A) -3 B) 3 C) 1 D) -4 27. Ifodani soddalashtiring: 25 , 5 2 1 5 2 5 1 2 A) 3 B) 0 C) 1 D) 2 28. Aylananing A, B va C nuqtalari uni 15:4:5 nisbatda yoylarga bo’ladi. A, B va C nuqtalardan urinmalar o’tkazilib, bir-biri bilan kesishguncha davom ettirildi. Hosil bo’lgan uchburchakning burchaklarini toping. A)
120
, 30 , 30 B)
45 , 30 , 105
C)
10 , 125 , 45 D) 75 , 45 , 60
29.
x x x f 3 cos 2 sin
10 uchun boshlang’ich funksiyani toping. A) 5cosx-cos5x+C B) 5sinx+sin5x +C C) -5cosx-cos5x+C D) 5sinx-sin5x+C 30. Uchi x=-2, y=7 nuqtada bo’lgan
2 botiq parabola OY o’qini (0,15) nuqtada kesib o’tsa, a, b, c larning qiymatlarini toping. A) 2, -8, -15 B)-2, 8, 15 C) 2, 8, 15 D) -2, 8, -15 31. Ali aytdi: “Axborotni ikkilikda kodlash usuli tekis kodlash usulidir”. Vali aytdi:”Axborotni ikkilikda kodlash usuli notekis kodlash usulidir”. Ularning fikrlari haqida nima deya olasiz? A) Faqat Ali to’g’ri fikr aytgan B) Faqat Vali to’g’ri fikr aytgan C) Ikkalasi to’g’ri fikr aytgan D) Ikkalasi noto’g’ri fikr aytgan 32. Hisoblang va javobini 10 lik sanoq sistemada ifodalang:
8 2 2 237 10 * 101011
A) 244 B) 245 C) 243 D) 246 33. Quyidagi mulohazalardan noto’g’ri berilganini toping. A) “
10 2 Mbayt =1Gbayt” B) “0 va1 raqamlari faqat ikkilik sanoq sistemasida ishlatiladi” C) “ 2
111000011 703
” D) “Axborot uzatish tezligi Kbayt/sekundda o’lchanishini mumkin” 34. MS Excel 2003 dasturida berilgan
30 30 ; 10 ; 15 ; 80 4 ; 3 MAKC СТЕПЕНЬ ИЛИ
Formulaning natijasini aniqlang. A) 1 B) ЛОЖЬ C) ИСТИНА D) 0 35. HTML (Hypertext Markup language) bu ... . A) dasturlash tili bo’lib, unda web-sahifalar yaratish mumkin B) gipermatnli markerlash tili bo’lib, unda web- sahifalar yaratish mumkin C) Internetdagi ma’lumotlarni uzatish qoidalari D) gipermatnli dasturlash tili bo’lib, unda web saytlar yaratish mumkin 36. Paskal tilida berilgan ifodaning qiymatini toping: Trunc(sqrt(64)/trunc(-84)) A) 1 B) -1 C) 16 D) 32
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