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2015-yil math
3- VARIANT
1. Agar
1 x x f va
1 2
x g funksiyalar uchun
f g a f g tenglik o’rinli bo’lsa,
a
ni b a . A) -2 B) 0 C) 2 D) aniqlab bo’lmaydi. 2. Agar
0 2 8
a bo’lsa
2 2 2 4 4 2 a a ni hisoblang. A) 2 B) 2.5 C) 1.5 D) 1 3. a=2 bo’lganda, S soha yuzini toping.
A) 48 B) 52 C) 40 D) 44 4. 16
4 100
4 36 2 2 2 x x x tenglamaning ildizlari qaysi oraliqqa tegishli? A)
2 ; 0 B) 2
0 C)
; 3 D)
; 2 5.
2 9 4 log 4 1 2 x x x tengsizlikni yeching. A)
; 2 2 ; B) 2 ; 1 1 ; 2 C) 2 ; 1 1 ; 2 D)
2 ; 2 2 ; 2 6. Hisoblang: 5 .
9 . 0 4 . 0 5 . 1 4 . 1 4 . 2 4 . 1 4 . 2 7 . 0 2 . 1 7 . 0 2 . 1 4 . 2 5 . 0 A) 1 B) 2 C) 4 1
2 1
7. Teng yonli uchburchakning perimetri 52 sm. Agar uning asosi yon tomonining 0.6 qismini tashkil qilsa, unga tashqi chizilgan doira yuzini
2 sm toping. A) 91
B) 91 91
C) 91 100 D) 13 91
8. Rasmda
' funksiya grafigi tasvirlangan.
x f y funksiyaning grafigiga (-3;3) oraliqda Ox o’qiga parallel bo’lgan nechta urinmasi bor?
A) 5 B) 6 C) 4 D) 3 9. Kasrning maxrajini irratsionallikdan qutqarining: 3 3 9 3 3 6 A)
3 9 3 B) 3 9
C) 3 9
D) 3 9
10. Aylanaga tashqi chizilgan to’rtburchakning perimetri 26 sm, yuzi esa 169 2
bo’lsa, aylana radiusini (sm) toping. A) 15 B) 12 C) 13 D) 26 11. Ifoda qiymatining oxirgi raqamini toping: 2015
2014 2013
2014 2013
2012 A) 7 B) 3 C) 1 D) 5 12.
4 12 2 2 xy x xy y tenglamalar sitemasini yeching. A) (-1;-3) B) (-1;-3) va (1;3) C) (1;3) D) (1;3) va (3;1) 13. 2
2 y x xy tenglamaning butun yechimlari juftligi nechta? A) 1 B) 0 C) 2 D) 3 14. To’g’ri burchakli uchburchak gipotenuzasiga tushirilgan balandlik uni 4 sm va 9 sm li bo’laklarga bo’lsa uchburchakning katetlarini (sm) toping. A)
13 5 ; 13 3 B) 4 13 ;3 13 C) 2 13 ;4 13 D) 2 13 ;3 13 15. Ishchining maoshi ketma-ket ikki marta 15% ga oshirilgandan keyin 793500 so’m bo’ldi. Uning dastlabki maoshi necha so’m bo’lgan? A) 650000 B) 575000 C) 600000 D) 550000 16. 2
2 2 2 x tenglamaning ildizi qaysi oraliqqa tegishli? A)
) 5 ; 3 [
B)
4 ; 3
C) 2 ; 1
D) ) 3 ; 2 [ 17.
2 2 2 10 10 10 10
x x x x tenglama haqiqiy ildizlari yig’indisini toping. A) -11
B) -13 C) 12
D) 10 18. Diagonallrining soni tomonlarining soniga teng bo’lgan ko’pburchakning ichki burchaklari yig’indisini toping. A)
360
B) 180 C) 540 D) 720 19. Teng yonli trapetsiya asosidagi burchakning sinusi 0.6 ga, asoslarining ayirmasi 4 ga teng bo’lsa, trapetsiyaning yon tomonini toping. A) 2.5 B) 2 C) 3 D) 4 20. Aylana tashqarisidagi nuqtadan aylanaga ikkita kesuvchi o’tkazilgan. Kesuvchi hosil qilgan ichki yoylar 7:3 kabi. Ular birgalikda butun aylananing ½
toping. A)
24 B) 36
45 D) 40
21.
2 4 4 4 2 16 log log
log 2
x x x
tenglamani yeching. A)
4 1 ; 1 B) 4 1
22. 1 0 3 2
x ni hisoblang. A) 5
B) 4 1 C) 2 1 D) 3 2 23. Tenglamani yeching: 1 2
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)
, 4 3 ; 4
24. 5 lg 3 1 lg 2 1 lg 3 1 5 lg 1
tenglamani yeching. A) 3
16 B) 3 5
16 C) 5 16
4 5 16 25. Kollejda 3 ta guruhda 93 ta o’quvchi bor. Ikkinchi guruhda birinchi guruhning 0.9 qismiga, uchinchi guruhda esa 1.2 qismiga teng o’quvchilar bor. Har bir guruhda qanchadan o’quvchi bor? A) 30; 27; 36 B) 36; 30; 27 C) 27; 30; 36 D) 30; 36; 27 26. 5200000 sonining nechta natural bo’luvchisi bor? A) 36 B) 48 C) 64 D) 56 27.
4 2 8 6 3 2 12 5 ni hisoblang. A) 6 B) 7 C) 4 D) 5 28.
a ax x 15 5 2 tenglama a ning qanday qiymatlaridan faqat 2 ta yechimga ega bo’lib, 2 1
x
shartni qanoatlantiradi? A)
; 4 . 2 B)
. 2 ; 0 C)
; 5 . 2 D)
. 2 ; 0
29. x x x f 10 cos 9 sin
38 uchun boshlang’ich funksiyani toping. A)
19 sin
sin 19
B) C x x 19 cos cos 19
C) C x x 19 sin
sin 19
D) C x x 19 cos
cos 19
30. x x x 1 2 tenglamani yeching. A) 0;2 B) C) 0 D) 2 31. Axborotni aniq bir qoidalar asosida qayta ishlash uchun qulay bo’lgan belgilar bilan almashtirish jarayoni ...deyiladi. A) formatlash B) tahrirlash C) kodlash D) belgilash 32. Hisoblang va javobini 10 lik sanoq sistemada ifodalang:
8 16 2 254 8 * 1001011
A) 773 B) 771 C) 772 D) 775 33. Qanday dasturiy ta’minot Free and Open Source Software deb ataladi? A) Mutlaqo bepul birlamchi kodi yopiq dasturiy ta’minot. B) Aprobatsiya, ya’ni sinovdan o’tkazish muddatiga ega bo’lgan dasturlar. C) Qiymati 100% to’langanidan keyin o’rnatilib, foydalaniladigan dasturiy ta’minot. D) Mutlaqo bepul birlamchi kodi ochiq dasturiy ta’minot. 34. MS Excel 2003 dasturida berilgan
3 ; 30 ; 15 985 . 6 MAKC ЦЕЛОЕ formulaning natijasini aniqlang. A) 25 B) 23 C) 22 D) 24 35. Quyidagi teglardan qaysi biri web-sahifada matn, fon rangini o’zgartirish uchun ishlatiladi. A) B)C) D)
36. Paskal tilida quyidagi dastur qismining bajarilishi natijasida ekranga chiqariladigan axborotlarni aniqlang: A:=’informatika’; n:= Length(a); write(n); A) n= 11 B) 13 C) 11 D) informatika
4-VARIANT 1. Uchlari A(7;7) va B(-2;-2) nuqtalarda bo’lgan kesmani 1:2 nisbatda bo’luvchi C nuqtaning koordinatalarini toping. A) (4;-4) B) (4;4) C) (-4;-4) D) (2.5;2.5) 2. Parallelepiped uchta yog’ining yuzi mos ravishda 3 2 m , 2 2
2
nechaga teng ( 2
) ?
A) 12 B) 11 C) 14 D) 13 3. 0 3 4 2 a x x tenglama ikkita musbat ildizga ega bo’ladigan a ning butun qiymatlari o’rta arifmetigini toping. A) 0.5 B) 1 C) 1.5 D) 3 4.
2
x x f funksiyaning [-2;2] kesmada eng katta qiymatini toping. A)
4 1 B) 0 C) 4 1 D) 0.5 5.
3 5 60 8 3 5 ni hisoblang. A) 2 B) 2 C) 2 2 D) 4 6. Natural sonlardan birini ikkinchisiga bo’lganda, shunday o’nli kasr hosil bo’ldiki, uning butun qismi bo’luvchiga, kasr qismi esa bo’linuvchiga teng bo’ladi. Bo’linuvchini toping. A) 2 B) 3 C) 5 D) 10 7.
x x x x x f cos
cos sin
sin 2 2 funksiyaning qiymatlari to’plamini toping. A)
2 ; 2 2 B)
2 ; 1 1 ; 1 1 ; 2 C)
2 ; 2 D) 2 ; 0 0 ; 2 8. Tub sonlar qatorini toping. a) 3, 5, 7, 9; b) 1, 2, 3, 5, 7: c) 2, 3, 5, 7, 21; d) 2, 3, 5, 7, 19. A) b B) c C) d D) a, c 9. To’g’ri burchakli uchburchakning bir burchagi 60
ga teng, kichik tomini esa 3 3 bo’lsa, uchburchakninng perimetrini toping. A)
1 3 9 B) 11 3
C) 3 3 +5 D) 2 3 +3 3 10. Sutdan 16% qaymoq, qaymoqdan 25% sariyog’ olindi. 100 kg saryog’ olish uchun necha kg sut kerak bo’ladi? A) 1600 B) 2000 C) 2500 D) 2400 11. Tenglamani yeching: 1 log
1 log
1 log
log 3 3 3 3 2 4 3 5 2 5 6 x x x x
A) 9 B) 3 C) 27 D) 81 12. Tenglamani yeching: 0 1323 3 5 3 2 2 x x
A) 3 B) 6 C) 5 D) 1 13. 2 5 4 10 001 . 0 10 2 . 0 10 3 . 0 ni hisoblang: A) 6
2 . 4 B) 4 10 0.42
C) 6 10 42 D) 5 10 42 14. k ning qanday qiymatlarida k x 1 1 1 tenglama manfiy yechimga ega? A) k<0; k>1 B) k>0; k<1 C) k<1 D) 0 k
15. Rasmda x f y ` funksiya grafigi tasvirlangan.
x f y ` funksiya ekstremum nuqtalai koodinatalari ko’paytmasini toping.
A)
4 1 B) 4 1 C) -9 D) 0 16. Agar 7 . 0 ; 5 . 0 ; 1 . 0
va
8 . 0 ; 4 . 0 ; 2 . 0
b a ni toping. A) 81
B) 27 25 C) 81 75 D) 27 26 17.
3 2 2
x a x y tenglamalar sistemasi yechimga ega bo’lgan a ning barcha qiymatlari to’plamini toping. A)
] 6 ; 6 [ B) ] 3 ; 3 [
C) ] 6 ; 3 [ D)
] 3 ; 0 [
18. 5 4 3 2 2 1 1 1 b a b a , bo’lsa, b - ? A) 134 B) 17 C) 50 D) 25 19.
0 2 1 3 x x tenglamaning ildizlari ko’paytmasini toping. A) 3 B) 2 C) 1 D) 4 20. Teng yonli trapetsiyaning o’tmas burchagi uchidan tushirilgan balandlik katta asosni 3 dm va 6 dm li kesmalarga ajratsa, trapetsiyaning kichik asosini toping. A) 3 sm B) 2.7 dm C) 2.4 sm D) 2.4 dm 21. Agar
61 49 51 148
41 79 bo’lsa, 61 12 21 5 41 3 ni n orqali ifodalang. A) 6+n B) 6-n C) 3+n D) 3-n 22. To’g’ri burchakli uchburchakning bir burchagi 52
balandlik va mediana orasidagi burchakni toping. A)
10 B) 7 C) 17 D) 24 23. Tengsizlikni yeching: 1 2 6 3 5 2 log
2 log
4 4 4 4 x x x x x
A) 0 B) 6 ; 0 C) 4
0 D) 5
1
24. 5 3
x f va
5 3
x g bo’lganda,
x f g x g f ni toping. 25. 2 2 3 log 1 3 5 . 0 log 9 27 ni hisoblang. A) 3 B) 0.5 C) 1 D) 2 26.
0 2 sin
1 cos
sin 2 x x x tenglamani yeching. A) Z k k , 4 B) Z k k , 4 3 4
C)
, 2 D) Z k k , 3 2 4 27. Natural bo’luvchilari soni eng ko’p bo’ladigan uch xonali natural sonni toping. A) 840 B) 480 C) 804 D) 908 28. 0
2
x tenglamaning haqiqiy ildizlari yig’indisini toping. A) 1 B) 9 C) 12 D) 8 29.
15 5 2 tenglamaning haqiqiy ildizlari yig’indisini toping. A) 1 B) 0 C) 2.4 D) 3 30.
x x x f 6 cos 5 sin
22 uchun boshlang’ich funksiyani toping. A) 11cosx-cos11x+C B) 11sinx-sin11x+C C) –cosx-cos11x+C D) 11sinx+sin11x+C 31. Informatika termini (atamasi) qaysi tildagi so’zlar asosida hosil bo’lgan? A) lotin B) ingilz C) fransuz D) nemis 32. ikkilik sanoq sistemasida bajarilgan amallardan qaysi biri noto’g’ri ? A) 1001*11=11011 B) 101-11=11 C) 111010*10=1110100 D) 11*11=1001 33. Faqat brauzerlar berilgan qatorni ko’rsating A) Mozilla, MySQL B) Netscape Navigator, Interrnet Explorer C) MySQL, Interrnet Explorer D) AutoCAD, Interrnet Explorer 34. MS Excel 2003 dasturida berilgan =Если(Степень(3;4)>81; Степень(“Avto”; “bus”);MAKC(15;30;4)) formulaning natijasini aniqlang. A) AFTOBUS B) 81 C) 30 D) Avtobus 35. Berilgan teglardan qaysi biri HTML tilida hujjatda tagchiziqli shrift turini ishlatish uchun qo’llanilgan ? A) ... B)
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