Funksiyaning eng
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2015-yil math
7-VARIANT
1. 6 6 4 4 cos sin
2 cos
sin 3 ni soddalashtiring. A) 1 B) 2
4 1 2 C) 2 sin 2 D) 0 2. Agar 6 2 2 xy y x va
9 3 3
x bo’lsa, x+y ni toping. A) 1 B) 9 C) 3 D) 3 3. Tenglamani yeching: 3 3 5 3 x ctg
A) Z k k , 5 2 B) Z k k , 5 10
C) Z k k , 5 2 10 D) Z k k , 6
4. x x y 9 cos 3 cos
3 funksiyaning hosilasini toping. A)
x x 6 sin 3 sin
18 B) x x 6 cos 3 cos
18
C) x x 6 sin 3 cos
18 D) x x 6 cos 3 sin
18
5. Tengsizlikni yeching: 1 3 1 5 2 x x
A) ; 3 1 3 2 ; 2 5 B) 3 1 ; 3 2
C) 3 2 ; 2 5 D)
3 1 ; 2 5 6. Zarracha har minutda ikkiga ajraladi. Agar idishga 1ta zarracha solinsa, u 1 soatda to’ladi. Shu idishga 2 ta zarracha solinsa, u qancha minutda to’ladi? A) 49 B) 59 C) 30 D) 45 7. Nechta (m;n) natural sonlar (m>n) juftligi
20 5 ;
m n m EKUB sistemani qanoatlantiradi? A) 3 B) 2 C) 1 D) 4 8.
0 3 6 16 2 1 2 x x x tenglamaning ildizlari yig’indisini toping. A) -2 B) 8 C) 5 D) 3 9. Yuzi 14 2
ga teng bo’lgan ABCD to’g’ri burchakli trapetsiyada AB=8 sm, DC=6 sm bo’lsa, ADC ni toping. A)
150
B) 135 C) 130 D) 120 10.
5 8 3 5 8 2 ni hisoblang. A) 2 B) 3 C) 0 D) 1 11.
6 4 4 2 4 2 y x x x x y ni qanoatlantiruvchi yechimlar nechta? A) 1 B) 2 C) 3 D) 0 12. 512
log 729
9 ni hisoblang. A) 8 B) 7 C) 9 D) 5
13. 2 2 2 20 20 20 20
x x x x tenglama haqiqiy ildizlari yig’indisini toping. A) -19 B) -21 C) -20 D) -22 14. Qavariq oltiburchakning ichki burchaklari yig’indisini toping. A)
750
B) 735 C) 720 D) 690 15.
0 4 32 3 x x x tenglamaning haqiqiy ildizlari ko’paytmasini toping. A) 1 B) 3 C) 2 D) 4 16.
x x x f 3 sin sin 8 uchun boshlang’ich funksiyani toping. A)
C x x 4 sin
2 sin
2
B)
4 cos
2 cos
2
C)
4 cos 2 cos
2
D)
4 sin
2 sin
2
17.
4 2 4 x x f x f ifoda berilgan.
funksiyaga teskari funksiyani toping. A)
4 3 x B) x x 4 2 C) 3 4
x D) x x 4 2
18. Radiusi 8 ga teng bo’lgan aylanaga ichki chizilgan muntazam oltiburchakning perimetrini toping. A) 48 B) 56 C) 2 48
3 48
19. Rasmda berilgan ma’lumotlarga ko’ra ABCD parallelogrammning yuzini hisoblang. Bu yerda AE
A) 215 B) 250 C) 514 D) 255 20. Agar 70
,
va CnB yoyi 110 bo’lsa, CAF ning qiymati topilsin. A)
50 B) 55 C) 45 D) 60
21. 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)
10 , 125 , 45
C) 45 , 30 , 105 D) 75 , 45 , 60 22. Boshlang’ich funksiyani toping:
5 4 sin
x x f . A) C x x F
5 4 cos 5 B) C x x F
5 4 cos
4 C)
5 4 cos 4 D) C x x F
5 4 cos 4 1 23.
1 2 6 3 5 2 log 2 log 4 4 4 4 x x x x x
tengsizlikning eng katta va eng kichik butun yechimlari yig’indisining uchdan birini toping. A) 5 B) 6 C) 2 D) 3 24.
15 5 2 tenglama bitta manfiy va 3 ta musbat ildizga ega bo’ladigan a larni toping. A)
5 . 2 ; 0 B) ; 4 . 2 C)
. 2 ; 0 D)
; 5 . 2
25. 3 3 13 2 5 5 13 2 ni hisoblang: A) 3 2 B) 4 65 3 C) 1 D) 2 3 26.
5 . 2 1 a bo’lsa,
3 3 4 ning qiymatini toping. A) 1.5 va 2.5 B) 0.125 C) 2 va –0.125 D) 1.5 27. x va y sonlar ayirmasining uchlanganini yozing va shu ifodaning x=-0.37, y=-0.42 bo’lgandagi son qiymatini toping. A) 0.12 B) 0.15 C) -0.79 D) -0.15 28. Tenglama ildizlari modullari yig’indisini toping: 0
log 3 2 2 2
x
A) 9 B) 8 C) 12 D) 10 29. 639 sonini 2:3:4 kabi nisbatda bo’ling. A) 171; 142; 326 B) 171; 239; 259 C) 142; 213; 284 D) 142; 215; 282 30. ABCD parallelogrammning A va D uchlari M tekislikda, B va C uchlari uning tashqarisida, AD=10 sm, AB=15sm, AC va BD diagonallarining M tekislikdagi proeksiyalari mos ravishda 13.5 sm va 10.5 sm ga teng. Parallelogrammning diagonallarini toping. A) 20 sm; 17 sm B) 19 sm; 18 sm C) 20 sm; 16 sm D) 19 sm; 17 sm 31. Quydagi axborot hajmining o’lchov birliklari keltirilgan. Ular o’sish tartibida joylashishi uchun mos tartiblari to’g’ri yozilgan javobni aniqlang: a) kilobayt; b) bayt; c) petabayt; d) megabayt; e) gigabayt; f) terabayt. A) b, d, a, e, c, f B) b, a, c, d, e, f C) b, a, d, e, f, c D) b, d, a, c, e, f 32. Bir sanoq sistemasida berilgan sonning boshqa sanoq sistemasidagi ko’rinishini aniqlang: 8
. C B D E A n A)
16 07 4B B)
16 710F C)
16 345
A D)
16 56BC 33. Bir sanoq sistemasida berilgan sonning boshqa sanoq sistemasidagi ko’rinishini aniqlang:
16 33D E
A) 2 110111 1001111011 B) 2
1100011100 C) 2
1110001100
D)
2 110101
1000101101
34. MS Excelda A1=50, A2=A1-50; A3=A1+A2 bo’lsa, A3 yacheykadagi qiymatni aniqlang. A) 0 B) 100 C) 50 D) 150 35. Elektron pochta adresi ko’rinishi web-saytlar adresi ko’rinishidan ... belgisi bilan farqlanadi. A) @ B) \ \ C) # D) / 36. Paskal tilidagi a
d x 33 2 ifodaning yozilishidagi xatolar sonini aniqlang:
b d abc x sqr a 33 *
A) 5 B) 2 C) 1 D) 3
8-VARIANT 1. Agar n m 6 1 5 1 4 1 3 1 2 1 1 1
Tenglamadagi m va n sonlari o’zaro tub natural sonlar bo’lsa, m+n ni toping. A) 56 B) 69 C) 49 D) 94 2. Diagonallarining soni tomonlari sonidan 3.5 barobar ko’p
bo’lgan ko’p burchakning barcha ichki burchaklari yig’indisi topilsin. A)
B) 1440 C) 1350 D) 1080 3. Kutubxonada jami 3275 ta kitob bor. Jami kitoblarning 40% I badiiy kitoblar, qolgan qismi darsliklar. Dasliklar badiiy kitoblardan qanchaga ko’p? A) 655 B) 657 C) 653 D) 656 4.
2 0 1 16 5 4 6 4 3 3 2 ni hisoblang. A) 1.2 B) 1 C) 2.5 D) 2 5. Ifodaning qiymatini toping.
25 17 15 416
17 : 5 13 99 795 15 : 7 A)
17 4 753 B) 17 7
C) 17 4 753 D) 17 7
6. To’g’ri to’rtburchakning eni bo’yidan 5 ga ko’p, diagonali esa 5 . 36 ga teng. Uning yuzini toping. A) 5 B) 5.25 C) 5.75 D) 25 7.
2 2 2 6 6 6 6 x x x x x tenglama haqiqiy ildizlari yig’indisini toping. A) -8 B) -9 C) -7 D) -6 8.
1 log 5 log 3 log
8 4 4 3 9 25 ifodaning qiymatini toping. A) 2 B) 0 C) 1 D) 3 9. (x;y) sonlar jufti
7 1 3 1 5 1 1 3 y y x x y y x x tenglamalar sistemasining yechimi bo’lsa, 6x+y ning qiymatini toping.
A) -1 B) 0 C) -2 D) 1 10.
1 2 23 sin 102
cos
2 sin
2 2 4 cos 2 ni soddalashtiring. A) 1 B) 2 C) -2 D) -1 11.
x x x f 9 sin 7 cos
32 uchun boshlang’ich funksiyani toping. A) 8sin2x+sin16x+C B) 8sin2x-sin16x+C C) 8cos2x-cos16x+C D) -8cos2x-cos16x+C 12. Agar 5 3 cos va
2 7 cos bo’lsa,
ni toping. A)
2 sin
3 , 1 B) 4 3
C) 2 3 sin 3 4 D) 3 4
13. 11 ga karrali, 412 dan katta bo’lmagan barcha natural sonlar yig’indisini toping. A) 7755 B) 7744 C) 7733 D) 7722 14. a va b natural sonlar 11 5
b a shartni qanoatlantirsa, a+b ifodaning eng kichik qiymati nimaga teng bo’ladi? A) 17 B) 16 C) 13 D) 14 15. Tenglamalar sistemasini yeching va barcha ildizlar ko’paytmasini toping (y>0). 256
log 2 2 x y y x
A) 3 B) -3 C) -2 D) -1 16. 0 12 7 7 log 2 2 x x x tengsizlikning eng kichik tub yechimini toping. A) 13 B) 5 C) 11 D) 17 17. 0
3 4 8 3 2 x x x tenglama ildizlari ko’paytmasini toping. A) 1.75 B) -2 C) -4 D) 3 18.
15 5 2 tenglama a ning qanday qiymatlarida faqat 2 ta manfiy ildizga ega? A)
4 . 2 ; 0 C) 3 D) 2.4 19.
1 1 1 ni soddalashtiring
a b a , 0 , 0
A) 2a B) -2 C) -2a D) 2 20. Agar b a 27 log bo’lsa, 6 3
a ni toping. A)
1 B) b 2 C) b 2 D) b 1 21. Diagonallarining soni tomonlari sonidan 1.5 marta k’op bo’lgan muntazam ko’pburchakning tomoni 4 ga teng bo’lsa, unga ichki chizilgan doira yuzini toping. A)
B) 10 C) 12 D) 8
foizga oshirilgandan so’ng dastlabki narxidan 90.44% ga oshdi. Mahsulot narxi har safar necha foizga oshgan? A) 42 B) 35 C) 36 D) 38 23. ABCD paralellogrammda A burchakdan o’tkazilgan bissektrisa BC tomonni E nuqtada kesib o’tadi. Agar AB=9 sm va AD=15 sm bo’lsa, BE va EC kesmalarni (sm) toping. A) 5;10 B) 10;5 C) 6;9 D) 9;6 24.
7 2 3 3
x tenglamani yeching. A) 6; 16
2 B) C) 6 D) 2 16 1
25. 2 2 6 11 21 6 x x x x y funksiyaning eng katta va eng kichik butun qiymatlari ko’paytmasini toping. A) 18 B) 12 C) 6 D)15 26.
4 2 1 dx x ni hisoblang. A) 12 B) 8 C) 6 D) 4 27.
1 6 2 12 2 3 x tengsizlikni yeching. A) x<1 B) 3 3
C) 3 3
D) x>1
28. x x y 20 sin 4 sin
5 funksiyanining hosilasini toping.
A) x x 12 sin 8 sin
40 B) x x 12 sin 8 sin
40
C) x x 12 cos 8 sin
40 D) x x 12 cos 8 cos
40
29. 0 50 100
x tengsizlikning butun yechimlari yig’indisini toping. A) 3675 B) 3765 C) 3775 D) 3825 30. Aylana tashqarisidagi nuqtadan aylanaga ikkita kesuvchi o’tkazilgan. Kesuvchi hosil qilgan ichki yoylar 7:3 kabi. Ular birgalikda butun aylananing ½ qismini tashkil qilsa, kesuvchilar orasidagi burchakni toping. A)
40 B) 36 C) 45 D) 24
31. Nuqtalar o’rniga qo’yish mumkin bo’lgan to’g’ri atamani aniqlang. ... deganda biz barcha sezgi a’zolarimiz orqali borliqning ongimizdagi aksini yoki ta’sirini, bog’liqlik darajasini tushunamiz. A) Axborot texnalogiyasi B) Informatika C) Axoborot sistemasi D) Axoborot 32. Turli sanoq sistemalarida berilgan sonlar yig’indisini aniqlang.
16 10 23 176 B
A)
10 3567
B)
2 1100011000 C)
8 5423
D)
16 3
33. Kompyuterning tashqi xotirasida joylashgan va birir nomga ega bo’lgan baytlar to`plami … deyiladi. A) disk B) fayl C) yorliq D) katalog (papka) 34. MS Excel 2003 dasturidagi yozilgan quydagi funksiyaning qiymatini toping. =СРЗНАЧ(31;10;12;7) A) 15 B) 14 C) 12 D) 16 35. Kampyuter tarmog`iga zarar keltiruvchi viruslar nima deb ataladi? A) Fayl viruslari B) Mikroviruslari C) Boot- viruslari D) Replikatorlar 36. Paskal. Quydagi dasturning ekrandagi natijasini aniqlang: var a,b,c: integer; Begin a:=2; c:=1; for b:=1 to 6 do c:=c*a+b; writeln(c); end. A) 52.00 B) 52 C) 184 D) 184.00
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