2015-yilning variantlari Matematika (Informatika) javoblari bilan

VARIANT № 116
1. |x²-4ax|=a tenglama ikkita haqiqiy yechimga ega bo'ladigan a ning butun qiymatlari nechta?
A) 2 B ) 0 C ) 1 D) 3
2. Diagonallarining soni tomonlari sonidan 3 marta ko'p bo’lgan qavariq muntazam ko’pburchakning har bir uchidan bittadan olingan tashqi burchagi va bitta ichki burchagining yig’indisini toping.
A) 500° B) 504° C) 480° D) 496°
3 Agar lg5=a va Ig3=b bo’lsa, ni toping.
A) 1+b B ) 3(1-a) C ) D) 3(1-a)(1+b)
4 ifodaning qiymatini toping.
A )3^16∙2 B) 3¹³ ∙2⁸ C) 3¹⁹ ∙2⁸ D ) 3²⁰∙2⁸
5. 1∙2∙3∙...∙30 ko'paytmani tub ko’paytuvchilarga ajratganda ko'paytma 2ⁿ, 3^m va 7^k darajalar ishtirok etsa n+m+k ni toping.
A) 44 B) 50 C)46 D)40
6. ABCD parallelogramda A burchakdan o’tkazilgan bissektrisa BC tonionni E nuqtada kesib o'tadi. Agar AB=9 sm va AD=15 sm bo'lsa, B E va EC kesmalarni (sm) toping.
A) 5;10 B ) 10; 5 C )6;9 D)9;6
7. sin6xcos2xA)( ); B)
C) D)
8. ni hisoblang.
A) 35 B ) 53 C) 3,5 D) 350
9. ni hisoblang.
A) 2/3 B) 3/5 C) ¼ D) ½
10. ni hisoblang.
A) -1 B ) (-1) ⁿ⁺¹ C) 1 D) (-1)ⁿ
11. tengsizlikni yeching.
A ) x≥-6 B)x∈R C) x≤5 D ) -6≤x≤5
12. tengsizlikning eng katta butun yechimini toping
A) 2 B ) 6 C )4 D ) 5
13. f(x)=24cos5xcos7x uchun boshlang’ich funksiyani toping.
A ) -6cos2x-cos12x+C B ) 6cos2x-cos12x+C C) 6sin2x-sin12x+C D) 6sin2x+sin12x+C
14. Agar x²y+xy²=6 va x³ +y³=9 bo'lsa, x+y ni toping.
A) 9 B ) 3 C) √3 D) 1
15. Arifmetik progressiyada d=6, n=40. a_n=254 bo'lsa, a₂ ni toping.
AI 40 6)20 C) 26 D) 10
16. (x²+10x+10)( x²+x+10)= 10x² tenglama haqiqiy ildizlari yig’indisini toping.
A ) -12 B ) -11 C)-13 D)-10
17. Funksiyaning aniqlanish sohasini toping.
A) [-3;3)∪(3;5j B ) [-3;3] ∪ (4;5] C) [-3;2) ∪ (2;5] D) (-3;2) ∪ (2;5)
18 Aylanaga tashqi chizilgan to'rtburchakning perimetri 26 sm, yuzi esa 169 sm² bo’lsa, aylana radiusini (sm) toping.
A) 26 B ) 12 C)13 D) 15
19. Ikki xonali sonning raqamlari orasiga 2 ni yozib uch xonali son hosil qilindi va u ikki xonali sondan to’qqiz marta katta bo'ldi. Berilgan sonning raqamlar yig'indisini toping.
A) 7 B ) 6 C) 8 D) 3
20. y=13sinx-sin13x funksiya hosilasini toping.
A) -26cos6x sin7x B) -26sin6x cos7x C) 26sin6x sin7x D) 26cos6x cos7x
21. 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) c B) b C) a,c D) d
22. Agar nuqtalar berilgan bo’lsa, AB kesma o'rtasining koordinatasini toping.
A) (-0,4;-0,7) B ) C) D)(-l,475;2,05)
23. Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o’tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo'lgan masotalar mos ravishda 9 va 45 ga teng bo’lsa, shu nuqtadan aylanaga o’tkazilgan urinmaning urinish nuqtasigacha bo’lgan masofa uzunligini toping.
A) 6√5 B ) 5√5 C) 8√3 D) 12√3
24. a ning qanday qiymatida 3a+ax+(-x2)=0 tenglama yagona ildizga ega?
A) a=0; a=12 B ) a=12 C) a=0 D)a=0; a=-12
25. Rasmda berilgan yarim doirada shtrixlangan soha yuzi S_ADC ning qimatini topilsin.
Bu yerda AO=OB=2, = =
A) B) C) D)
26. Agar bo’lsa, ni toping.
A) 3 B ) 3,5 C)2 D) 2,5
27. ifodaning qiymatini toping.
A) 4 B) 1 C) 3 D) 2
28. Tenglamani yeching va ildizlari yig’indisini
toping: x(3^x+2)=3( 1 -3^x)-x²
A ) -4 B ) -3 C) -2 D)0
29. To’g'ri burchakli uchbufchakning bir burchagi 38° ga teng bo’lsa, to’g’ri burchak uchidan tushirilgan bissektrisa va mediana orasidagi burchakni toping.
A) 10° B) 7° C)14° D) 17°
30. Agar arifmetik progressiyada bo'Isa, ayirmani toping.
A) 3 B ) 4 C) 2 D) 1
31. Telegraf kodini ishlab chiqqan inson nomini aniqlang.
A) Paskal B) Sezar C) Lisandro D) Morze
32. Hisoblang va javobini 16 lik sanoq sistemada ifodalang: 100100₍₂₎*2₍₈₎+264₍₈₎
A) FD B ) FC C) FE D) FB
33. BIOS kompyuterning qaysi xotirasida joylashgan bo’ladi?
A) doimiy xotira qurilmasida B) tezkor(operativ) xotira qurilmasida C) vinchestrda D) CD-ROM da
34. (16²-4³)⁴+|5+(-3)³| ifodaning Microsoft Excel 2003 dasturidagi formula ko’rinishini toping.
A) =Cтепень(16*16- Cтепень (4;3);4)+ABC (5+(-3)* Степень(2;-3))
B) =Степень(16*16-Степень(4;3);4)+ABS (5+(-3)* Степень(-3;2))
C) =Степень( 16*16-Степень(4;3);4)+ABC(5+(-3)* Степень(-3;2))
D) =Степень(16*16-Степень(3;4);4)+ABS(5+(-3)* Степень(-3;2))
35. Quyida keltirilgan yozuvlarning qaysi biri elektron manzil bo’la oladi?
A)[e-mail] B) www.ict.eov.uz C) www.aci.uz D) Epson.com
36. Paskal. Quyidagi dastuming ekrandagi natijasini aniqlang.
Var a, b, s: integer;
Begin a:=2; s:=l; for b:=l to 6 do s:=s*a+b;
Writeln (s); end.
A) 184.00 B ) 52.00 C) 184 D) 52