2015-yilning variantlari Matematika (Informatika) javoblari bilan

VARIANT № 105
1. ni hisoblang.
A )-6 B ) -4 C) - 5 D) - 3 ;
2. To’g'ri chiziq doira aylanasini uzunliklarining nisbati 1:3 kabi bo’lgan 2 yoyga ajratadi. Bu chiziq doiraning yuzini qanday nisbatda bo'ladi?
A) B) C) D) 1:9
3. ifodani soddalashtiring (m≥4, m≠8 )
A) m-2 B) m+2 C ) D )
4. Katetlari tenglama ildizlariga teng bo'lgan to'g’ri burchakli ucliburchakning yuzini toping
A) 5 B) 2 C)1, 5 D) 4
5. ni hisoblang.
A)-2 B)-3/2 C)1/3 D)3/2
6. Vektorni vektorlar orqali ifodalang.
A) B ) C ) D)
7. Arifmetik progressiyada a₁+a₃+a₅+...+a₉=50, a₂+a₄+a₆+...+a₁₀=75 bo'lsa, d ni toping.
A) 3 B ) 15 C) 5 D) 6
8 . Aylanaga tashqi chzilgan to'rtburchakning perimetri 26 sm, yuzi esa 169 sm² bo’lsa, aylana radiusini toping.
A) 26 B ) 13 C)12 D) 154
9. a va b vektorlar o’zaro perpendikulyar birlik vektorlar bo’lsa, ini toping.
A) 4 B ) 5 C) D)
10. 1³ +2³+... + 100³ sonli ifoda qiymatini 3 ga bo'lgandagi qoldiqni toping.
A) 0 B )2 C) aniqlab bo’lmaydi D) 1
11.x ning qanday qiymatlarida tenglik o’rinli bo'ladi?
A) (-∞;2] va [11;∞) B ) (-∞;-2) va ( 11 ;∞) C) (2; 11) D) (-2;0) va (0;11)
12. x - a( x ² + 1) + x³ +10 = 0 tenglama ildizlaridan biri -1 ga teng. a ni toping.
A) 2 B ) 0 C) 4 D) -4
13.Agar bo‘lsa, ni toping. (r∈R)
A ) 2794 B ) 2786 C)27 D) 8
14. AB kesmaning uchlaridan va uning o’rtasidagi M nuqtadan chiqarilgan parallel to’g’ ri chiziqlar biror tekislikni A₁, B1, M₁ nuqtalarda kesib o’tadi. Agar BB₁=7 m, AA₁=5 m va AB kesma tekislikni kesib o’tmagan
Bo’lsa. MM₁ kesma uzunligini (m) toping.
A) 6 B) 6,2 C)5 D) 6.4
15. f'(x)-?
A) B) C) D)
16. Teng yonli trapetsiya asosidagi burchakning sinusi 0,6 ga, asoslariningayirmasi 4 ga teng bo’lsa, trapetsiyaning yon tomonini toping.
A) 2,5 B) 4 C) 3 D) 2
17. Ishchi har kuni kunlik rejada ko’rsatilganidan 25 ta detal ortiq yasab, uch kunda rejadagi 7 kunga mo’ljallanganidan 15 ta ortiq detal yasadi. Ishchi har kuni nechtadan detal yasagan?
A) 15 B ) 44 C) 47 D) 40
18. Ordinatasi y₀=-2 bo'lgan nuqtada y=1-4x+x² egri chiziqda urinuvchi to’g'ri chiziq tenglamasini ko’rsating.
A) y=2x B) y=2x va y=8-2x C) y=8-2x D) y=-2x va y=2x-8
19. bo’lsa, a ning qiymatini toping.
A) 10 B ) 30 C) 6 D ) 15
20. Agar x, y ,z ∈ va bo ‘lsa ning qiymatini hisoblang.
21. A(x)=a(x-2) (x+2)+2(x²-bx+3) va B(x)=bx2- 8x-4a+6 ko’phadlar aynan teng bo’lsa, a va b lami toping.
A) a=2; b=-4 B) a=-2;b=4 C) a=-2,b=-4 D) a=2;b=4
22. Radiuslari r=l va R=3 sm bo'lgan aylanalar tashqi ravishda urinadi. Aylanalar urinish nuqtasidan ularning umumiy urinmalarigacha bo’lgan masofani (sm) toping.
A) 5/6 B) 4/5 C) 3/2 D) 2/3
23. 1.16(6)+0,12(3) ni hisoblang.
A )7/30 B ) C) 19 D )
24. bo ‘lsa, f(f(3)) ni hisoblang
A) B) C) D)
25. y=sin⁴ x+cos ⁴x funksiyaning eng kichik musbat davrini toping.
A) B) C ) D)
26. Agar bo’lsa, S qaysi oraliqqa tegishli?
A) B) C)(6;7) D)
27. ctg2α-ctgα ni hisoblang.
A) - B) C) D)
28. tenglamaning katta ildizini toping.
A) -3 B) 3 C) 1 D) -4
29. Rasmda berilganlarga ko’ra x°=

A) 50° B ) 55° C)65° D ) 60°

30. Agar konus o'q kesimining yuzi N ga, asosining yuzi M ga teng bo'lsa, konus yon sirtining yuzini toping.
A) B) C) D)
31.1000 Kbavt axborot necha bitga teng?
A) 20³ ∙2⁹ B ) 10² ∙2¹³ C) 20² ∙2¹⁰ D) 20³ ∙2¹⁰
32. Paint.grafik muharririning uskunalar panel ida bor bo’lgan amallami ko rsating.
1. заливка (Bo'yash) 2. Эллипс(Ellips) 3. Многоульник (Ko'pburchak) 4. Палитра(Palitra)
A) 2.3 B ) 1,3,4 C)2.3.4 D) 1,2,3
33. Dinamik kutubxona fayllarining kengaytmasini toping.
A) .bak B ) .dll C) .xls D) .bat
34. MS ExccI 2003 dasturida yozilgan quyidagi funksiyaning qiymatini toping. =CP3HAЧ (31; 10; 12;7)
A) 16 B) 15 С) 12 D) 14
35. 1001 soni qaysi sanoq sistemasida bor?
A) Faqat 2 lik sanoq sistemasida bor B) Barcha sanoq sistemalarida bor C) Faqat 8lik sanoq sistemasida bor
D) Faqat 10 lik sanoq sistemasida bor
36. Paskal tilida quyidagi dastur bajarilishi natijasida ekranga chiqariladigan axborotlarni aniqlang:
Var k,b:integer; c:string; Begin K:=4; B:=5; C:=’21’;If k>b then write ( ‘C =’, C:1) else write(‘O =’,C:4); end.
A) C=2 B) C=2121 C) C=21 D)C=212