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2015-yil math
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9-VARIANT
1.
1 4 4 2 3 2 2 6 5 log log 4 4 x x x x x tengsizlikning eng katta va eng kichik butun yechimlari yig’indisining uchdan birini toping. A) 3 B) 6 C) 2 D) 5 2. Aylanaga tashqi chizilgan to’rtburchakning perimetri 26 sm, yuzi 169 2
bo`lsa, aylana radiusini (sm) toping. A) 15 B) 13 C) 12 D) 26 3. 2
2 2 75 . 2 75 . 2 7 5 . 3 625 . 0 25 . 3 625 . 0 75 . 6 ni hisoblang. A) 35 B) 53 C) 3.5 D) 350 4.
6 20 2 2 x y y x xy y x tenglamalar sistemasini yeching. A) (2;3)(3;2) B) (16;1)(1;16) C) (9;1)(1;9) D) (1;4)(4;1) 5. Diagonallarining soni tomonlari sonidan 3 marta ko’p bo’lgan qavariq muntazam ko’p burchakning tashqi burchaklaridan birini toping. A)
35 B) 40 C) 30 D) 45
6. ...
4 log
4 log
64 log
3 2 2 2 ni hisoblang. A) 0 B) 9 C) D) 8 7.
2 2 2 2 2 2 2 2 9 1 ... 3 7 2 8 1 9 ko’paytmani hisoblang. A) 480000 B) 10000 C) 86420000 D) 0 8. Agar A(-4,5;5) va B(3,5;3,5) nuqtalar berilgan bo`lsa, AB kesma o`rtasining koordinatasini toping. A) (-1;8,5) B) (-0,5;4,25) C) (-3,75;8,5) D) (-3,75;4,25) 9.
7 5 log 1 log 4 2 4 4 4
x x x tengsizlikni yeching. A)
2 ; 3 3 ; 4 B) ; 4 . 1 C) 0 D)
; 1 1 ; 10. Teng yonli uchburchakning perimetri 52 sm. Agar uning asosi yon tomonining 0.6 qismini tashkil qilsa, unga tashqi chizilgan doira yuzini ( 2
) toping. A)
13 91 6 B) 91 91 100 C) 91 10000
D) 91 100
11. 2 3 . 0 1 2 . 0 9 3 5 . 0 x x x tenglamani yeching. A)
41 81 B) 41 80 C) 41 85 D) 3 1
12. Soddalashtiring: 2 1 2 1 2 1 2 1 2 b a b a b b a a ; 0 ; 0 2 2 b a b a
A) a 2 B) 0 C) a b 2 2 D) b a 2 2
13. Uchburchakning tomonlari 13 sm, 14sm, 15 sm. Bu uchburchakka tashqi va ichki chizilgan doiralarning yuzalari nisbatini toping. A)
2 17 33 B) 2 32 63 C) 2 32
D) 2 64 129
14. Boshlang’ich funksiyani toping:
5 4 sin x x f
A)
C x x F
5 4 cos 4 1 B)
C x x F
5 4 cos
4
C)
C x x F
5 4 cos 4
D)
C x x F
5 4 cos 5
15. 0 3 4 2 a x x tenglama yagona yechimga ega bo’ladigan a ning barcha butun manfiy qiymatlari yig’indisini toping. A) 1 B) 2 C) 0 D) -3 16. Ikki xonali sonning o’nliklari soni birliklari soning 3 2
yozilganidan ayirsak, ayirmasi 18 bo’ladi. Shu sonni toping.
A) 32 B) 46 C) 48 D) 24 17. k ning qanday qiymatlarida y=kx-1 to’g’ri chiziq 0 2
2 x y x aylanaga urinadi A) 1 B) -1 C) 0 D) -2 18.
3 3 2 2 2
x tenglamani yeching. A)
2 ; B) 2
C) 0 D) 2 ;
19. 1 2 2 2 2 2 3 2 3 5 6 5 3
x x x x x x
tengsizlikning eng katta manfiy butun yechimining eng kichik musbat butun yechimiga nisbatini toping. A) -1 B) 2 1
2 1 D) -2 20. Ifodani soddalashtiring:
25 cos
85 sin
35 sin
A) 1 B) 2 C) 0.5 D) 3
21. x x x x x f 2 cos sin 2 log 3 ning 2 9
dagi qiymatlarini toping. A) 5 . 4 2 B) 5 . 4 2 C) 5 . 4 2 D) 5
4
22. 13 6 2 1 18 1 15 2 45 7 9 2 : 18 1 8 1 18 1 125 . 0
A) 0 B) 2 1 C) 1 D) -1 23.
1 cos
sin 2014
2015 x x tenglamani yeching. A)
, ; 2 2 B) Z k k , 2
C)
, D) Z k k , 2 2
24. Agar 7 :
d bo’lsa, 2 2
d ni hisoblang. A) -7 B) 0 C) 7 D) 7 25. Metall quyma tarkibida 18 kg rux, 36 kg mis, 6 kg qalay bor. Qnaday quyma tarkibiy qismining necha foizini tashkil qiladi. A) 30 B) 60 C) 10 D) 20 26. 2
1 1 2 2 2 2 x x x x x x x x tenglama ildizlarining o’rta o’rtarifmetik toping. A) 0.5 B) 2 C) 1.5 D) 1 27. Rombning perimetri 60 ga, diagonallariyig’indisi 36 ga teng. Rombning yuzini toping. A) 99 B) 97 C) 95 D) 100 28. k ning qanday qiymatlarida 1 1
2
x k
tenglama manfiy yechimga ega? A) k<3; k>5 B) k<3 C) k>-5; k<3 D) 3
29.
x x x f 9 cos 6 cos
30 uchun boshlang’ich funksiyani toping. A) 5sin3x-sin15x+C B) -5cos3x-cos15x+C C) 5cos3x-cos15x+C D) 5sin3x+sin15x+C 30. y=13sin3x-3sin13x funksiyaning hosilasini toping. A)
x x 8 cos 5 sin
78 B) x x 8 cos 5 cos
78
C) x x 8 sin 5 sin
78 D) x 8 sin 5 cos
78 31. Sonlarni o’sish tartibida joylashtiring: 1)
2 111011
; 2)
8 114
; 3)
16 3A
A) 2, 1, 3 B) 2, 3, 1 C) 3, 2, 1 D) 3, 1, 2 32. Quyidagi sonlar o’sib borish tartibida joylashtirilgan javobni aniqlang: a)
8 73 ; b) 3 10111 ; c)
16 92 ; d) 10 32 A) d, a, b, c B) b, d, a, c C) d, b, a, c D) a, b, c, d 33. Matinlarni tahrirlashga mo’ljallangan dasturlar to’g’ri berilgan qatorni toping? A) Microsoft Word, WordPad, Bloknot B) BEM, 1c Buxgalteriya C) Adobe Photoshop, CorelDraw D) Prompt, Socrat 34. MS Excel 2003 dasturida berilgan
17 ; 16 ; 15 " "
axborot ДЛСТР formulaning natijasini aniqlang. A) 25 B) 23 C) 22 D) 24 35. Elektron pochta bilan ishlash dasturini aiqlang. A) OutLook Express B) Dreamweawer C) Flash Plater D) Smoltok Express 36. Paskal tilida berilgan ifodaning qiymatini toping: Trunc(sqrt(225)/int(5.3)) A) -3 B) 3 C) 5 D) -5
10-VARIANT 1. Diagonallarining soni tomonlari sonidan 3 marta ko’p bo’lgan qavariq muntazam ko’pburchak markazidan ko’pburchak qo’shni uchlariga o’tkazilgan kesmalar hosil qilgan burchakni toping. A)
30 B) 40 C) 36 D) 45
2. 3 2 1 log
3 3 x tenglamadan x ni toping. A) 3
B) 3 C) 3 1 D) 3 3. 81 3 1 3 3 1 2 2 1 x x x x x tenglamani yeching. A) 64 B) 36 C) 49 D) 81 4.
1 : 2 2 2 2 a x a x a x a x a x a x a x
Ifodani soddalashtiring. 0
x
A) 2 2 a x B) a 2 1 C) 1 D) a 5. Agar lg5=a va lg3=b bo’lsa, 8 log
30 ni toping. A)
b a 1 1 3 B) 3 a 1 C) b a 1 1 3 D) 1+b
6. b bx b bx 4 3 5 tengsizliklar sistemasi b ning qanday qiymatlarida yechimga ega bo’lmaydi? A)
0 ; B) ; 6 C)
; 3 D) ; 6 0 ;
7. z=arccos(0.8), 1 . 0 arccos y va
5 3 arccos x sonlarini o’sib borish tartibida yozing. A) z x 17 soatda bajaradi.Shu ishning 5 4 qismini qancha vaqtda bajaradi? A)
85 31 B) 5 1 2 C) 15 7 4 D) 15 8
9. Uchburchakning tomonlari 15, 14, 13 bo’lsa, uchburchakka ichki chizilgan aylana radiusini toping. A) 3 B) 2 C) 4 D) 7 10. Ifoda qiymatining oxirgi raqamini toping: 2015
2014 2013
2014 2013
2012 A) 4 B) 3 C) 7 D) 5 11. 30
3 2 1 ko’paytmani tup ko’paytuvchilarga ajratganda ko’paytmada
3 , 2 lar ishtirok etsa, n+m+k ni toping. A) 40 B) 50 C) 46 D) 44 12. Agar 4 1 15 a a bo’lsa, 2 2
9 a a ni toping. A) 144
45 3 B) 150 45 3 C) 150
49 3 D) 144 49 3 13.
1 3 1 x x tenglamani yeching. A)
1 ; 0 B) 0;1 C) 1 D) 0 14. ABC uchburchakning B uchidan AC tomoniga BE mediana o’tkazilgan bo’lib, bu mediana B burchakni va burchaklarga ajratadi. Agar , 8 AB BC
EC AE AB va 3 3 sin bo’lsa, cos ning qiymatini toping. A) 25
B) 3 2 C) 9 4 D) 24 23 15.
y x; sonlar jufti
2 4 3 4 2 7 6 0 6 3 4 3 2 5 y x y x y x x y
sistemaning yechimi bo’lsa, 2 2
x ni toping. A) 1 B) -1 C) 2 D) 0 16.
10 24 18 4 2 3 x x x y egri chizig’i qaysi nuqtalarida o’tkazilgan urinmalar Ox o’qiga paralell bo’ladi? A)
2 ; 2 va 0 ; 1 B) (2;-2) va (0;1) C) (-2;2) va (0;1) D) (2;-2) va (1;0) 17.
7 2 2 1 2 x x f x f ekani ma’lum bo’lsa,
x f ko’phadni toping. A)
1 2 2
x f B) 4
x f
C)
5 2
x x f D) 7
2 x x x f
18. 0 3 12 2
x x tenglamani yeching. A)
; 4 B) -4 C)
; 4 D)
19.
x x x f 7 cos 5 cos
24 uchun boshlang’ich funksiyani toping. A) 6sin2x+sin12x+C B) 6sin2x-sin12x+C
C) -6cos6x-cos12x+C D) 6cos2x-cos12x+C 20.
028 . 0 : 3 . 0 48 . 0 : 25 . 3 75 . 4 ni
hisoblang. A) -15 B) 15 C) -5 D) 5 21.
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 22.
12 6 4 2 2 y y x x tenglama bilan berilgan aylana uzunligini toping. A) 11
B) 12 C) 8 D) 10
1 21 21 61 17 21 5 log
1 log
4 3 cos 5 2 3 3 3 x x x x x x
tengsizlikning barcha butun yechimlari yig’indisi natural bo’luvchilari soni topilsin. A) 2 B) 4 C) 9 D) 6 24. Qavariq ko’pburchakning diagonallari soni 5 ga teng bo’lsa, burchaklari sonini toping. A) 4 B) 5 C) 6 D) 7 25.
0 20 2 3 2 x x x tengsizlikni yeching. A)
1 2 ; 3 B) 3 ;
C)
2 ; 3 D) 2 ;
26. 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’luvchini toping. A) 5 B) 2 C) 3 D) 1 27. Katetlari a va b bo’lgan to’g’ri burchakli uchburchakga bu uchburchak bilan umumiy to’g’ri burchakga ega bo’lgan kvadrat ichki chizilgan. Kvadratning perimetrini aniqlang. A)
b a ab 4 B) b a ab C) b a ab 2 D) b a ab 2 28.
2 2 2 12 12 12 12
x x x x
tenglama haqiqiy ildizlari yig’indisini toping. A) -13 B) -14 C) -15 D) -12 29.
a ax x 15 5 2 tenglama 2 ta manfiy va 2 ta musbat ildizga ega bo’ladigan barcha a lar yig’indisini toping. A)
0
B) 2,4 C) -3.4 D) 4,4 30. Agar A
2 1 5 ; 4 3 3 va (-0.8;-1.4) nuqtalar berilgan bo’lsa, AB kesma o’rtasininig koordinatasini toping. A)
05 . 2 ; 475 . 1 B)
. 0 ; 4 . 0
C) 05 . 2 ; 40 11 2 D) 4 1 5 ; 8 3 3
31. Quyidagi axborotlarni hajmi bo’yicha kamayish tartibida joylashtiring (qo’shtirnoq hisobda olinmasin): 1) “XXI asr-axborot asridir”; 2) 152 bit; 3)0.2 kilobayt A) 2, 3, 1 B) 1, 3, 2 C) 2, 1, 3 D) 3, 1, 2 32. Hisoblang va javobini 16 lik sanoq sistemada ifodalang:
8 8 2 264 2 * 100100
A) FE B) FC C) FB D) FD 33. BIOS kompyuterning qaysi xotirasida joylashgan bo’ladi? A) vinchestrda B) CD-ROMda C) tezkor (operativ) xotira qurilmasida D) doimiy xotira qurilmasida 34. MS Excel 2003 dasturida berilgan =Если(Степень(3;4)>80; MAKC(15;30;4)) formulaning natijasini aniqlang. A) Avtobus B) AVTOBUS C) 30 D) 81 35. Kompyuter yoqilishi bilan ekranda Windows operatsion tizim (sistema)ning ... hosil bo’ladi. A) boshqarish paneli B) ish stoli C) dasturlar majmuasi D) ishchi papkasi 36. Paskal tilida quyidagi dastur bajarilishi natijasida ekranga chiqariladigan axborotni aniqlang: Label a; Var k,b,c:string[6]; Begin K:=20; B:=14; goto a; C:=01.08; write(C:2); a: Write(K:1,B:2); end A) 01.08 B) 2014 C) 01.08.2014 D) 01.2014
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