Matematika-2006

Matematika-2006
Variant-113

1. 
   Bir necha natural sonni yig’indisi 85 ga teng. Agar shu sonlardan har biridan 2 ni ayirib , yig’indini hisoblasa, u 61 ga teng bo’ladi . Yig’indida nechta son qatnashgan.
   

A)7 B)5 C)8 D)12
2. 2 teskari soni toping .
A)1 B)-0,6 C)-6 D)0,4
3 a(b+c-bc)-b(c+a-ac)-c(b-a) ni soddalashtiring.
A)2ac-2bc B)-2abc C)ab-ac D)-2bc
4 ( )( )-(y-1)(y+2)+ ni soddalashtirgan so’ng hosil bo’lgan ko’phadning nechta hadi bo’ladi.
A)4 B)3 C)5 D)6
5. a ning qanday qiymatlarida Ia+4I=-a-4 tenglik o’rinli bo’ladi.
A) B) a=-4 C) D) <-4
6. x+6=- tenglamani nechta haqiqiy ildizi bor.
A)2 B)1 C)ildizi yo’q D)3
7. <-2 tengsizlikni yeching.
A) B)x<4 C)x>4 D)x>8/3
8. Quydagi sonlarning qaysi biri 0,8(1) gat eng.
A)73/90 B)9/11 C)81/90 D)70/90
9. -3 funksiyaning grafigining Oy o’qi bilan kesish nuqtasi ordinatasini toping.
A)-1 B)-2 C)1 D)0
10. Ikki to’g’ri to’g’ri chiziqning kesishidan hosil bo’lgan burchaklarning biri 40 ga teng . Qolgan burrchaklarni toping.
A)110 110 110 B)150 150 30 C)140 140 40 D)60 60 30
11. Quydagi tasdiqlarni qaysilari noto’g’ri.
1) tomoni a ga, burchaklaridan biri a ga teng bo’lgan romning yuzi S=a sina formula bilan hisoblanadi.
2) tomonlari a va b ga , ular orasidagi burchaklardan biri a ga teng bo’lgan parallelogrammning yuzi S=1/2absina formula bilan hisoblanadi.
3) diaganallari d va d ga , ular orasidagi burchak a ga teng ixtiyoriy qavariq to’rtburchakning yuzi S=d d sina formula bilan hisoblanadi.
A)2;3 B)1;2 C)1;2;3 D)1;3
12. Tekislikka og’ma va perpendikulyar tushirilgan . Og’ma va tekislik orasidagi burchak arcos60/61 ga og’maning tekislikdagi proeksiyasi 120 ga teng. Perpendikulyarni uzunligini toping.
A)12 B)49/25 C)22 D)168/25
13. tg( -a)=4 bo’lsa, tga ning qiymatini toping.
A)-3 B) C)-3/5 D)5/3
14. ifoda n ning nechta natural qiymatida natural son bo’ladi.
A)3 B)6 C)4 D)5
15. ni hisoblang.
A)16 B)4 C)12 D)7.45
16. a ning qanday qiymatida y= -4x+12-a parabolaning uchi M(2;5) nuqtada yotadi.
A)2 B)3 C)5 D04
17. 0
A)(-2;1) B)(- ) [-2;1] C)(- ;-3] (-2;1] D)(- ;-3]
18. ni hisoblang.
A)-2 B)2 C)1 D)2
19. 2*3 =15-9 tenglamani yeching.
A)2 ,n B) C) D)
20. Uchburchak tomonlarining uzunliklari m; n va k m =n tenglikni qanoatlantiradi.Uzunligi m ga teng tomon qarshisidagi burchagni toping.
A)112 B)45 C)90 D135
21. ABCD paralielogram OB perpendikulyar AC, AO=8. OC=5. va BO=4.Parallelogramning yuzini toping.

A)28 B50 C)52 D)56
22. Konusning yasovchisi 25ga,uning asos tekisligi bilan tashkil qilgan burchgining sinusi 0.6ga teng.Konus o’q kesimining perimetrini aniqlang.
A)80 B)360 C)90 D)105
23. Balandligi 12ga,asosining radiusi 6ga teng bo’lgan konusga yasovchisi 4ga teng bo;lgan silindir ichki chizilgan.Silindir asosining radiusini toping.
A)4 B)3 C)2 D)2,6
24. Agar tga+ctga=10 bo;lsa,sin2a ni hisoblang.
A)1/4 B)1/2 C)1/5 D)1/3
25. sinx*cos2x-cosxsinx=-1/2 tenglamani yeching.
A) B)(-1) C) D)
26. Agar kubning qirrasi 20%ga kamaytirilsa uning hajmi nech foizga kamayadi.
A)40 B)48,8 C)30,8 D)60
27. y=ax funksiya x=1 nuqtada 2ga teng eng kichik nuqtaga ega.Agar y(2)=4 bo’lsa a,b,c ni toping.
A)a=3,b=6,c=2 B)a=4,b=2,c=6 C)a=2,b=-4,c=4 D)a=6,b=-2,c=4
28. Agar bo’lsa x+2y ning qiymatini toping.,
A)1 B)3 C)2 D)13
29. m ning qanday qiymatlarida (m-1)x +2m+2 kvadrat uchhadni to’la kvadrat shaklida tasvirlash mumkin.
A)-17 B)-17;3 C)3 D)2
30. To’ri burchakli uchburchakning katetlati 30 va 40ga teng.Katta katetning gipotenuzadagi proeksiyasini toping.
A)14,5 B)32 C)16,5 D)16
31. Aylanaga tashqi chizilgan teng yonli trapetsiyaning asoslari 56 va 14 sm.Trapetsiyaning balandligi necha sm.
A)40 B)28 C)36 D)35
32. (3;-6;6) vektorga kolleniar va =40,5 tenglikni qanoatlantiruvchi toping.
A) (3;6;9) B) (3/2;-3;3) C) (3;-6;6) D) (1/2;-1;1)
33. sinx>cosx tengsizlikni yeching.
A)(
B)(
C)(
D) (
34. log (3-2x)>1 tengsizlikning butun yechimlari nechta.
A)3 B)4 C)1 D)2
35. Gipotenuzasi c ga va o’tkir burchaklari sinuslarining yig’indisi q gat eng b’olgan to’ri burchakli uchburchakning yuzini toping.
A) B) C) D)
36. Hajmi 8 gat eng bo’lgan muntazam tetraedrning balandligini toping.
A)4 B)2 C)3 D)4