Ikki shahar orasidagi masofa 400 km bo’lsa 1: 5000000 masshtabli xaritada bu masofa necha metirga teng bo’ladi

Matematika
Variant -114

1. 
   Ikki shahar orasidagi masofa 400 km bo’lsa 1:5000000 masshtabli xaritada bu masofa necha metirga teng bo’ladi.
   

A)80 B)100 C)40 D)20
2. (2,01-3,81)*3,8 ifodani hisoblang.
A)5,82 B)6,84 C)-5,82 D)-6,84
3. ni soddalashtiring.
A) B) C) D)1-
4. -3an-4n+6a ko’phadni ko’paytiruvchilarga almashitiring.
A)(n-2)(2n-3a) B)(5-n)(3a+2n) C)(2n-3a)(n-5) D)(3a-n)(5-2n)
5. (x;y) sonlar jufti sistemanini yechimi bo’lsa, y-x ni toping.
A)-1 B)-3 C)0 D)3
6, -11x+q=0 tenglamani ildizlaridan biri -13 gateng bo’lsa , ikkinchi ildizini toping.
A)2 B)-24 C)-2 D)24
7. 4> tengsizlikni yeching.
A)[0;15] B)[-1;15) C)(-1;15] D)[0;15)
8. Arifmetik progresiya uchun quydagi keltirilgan formulalardan qaysilari to’g’ri.



A)1 B) 2;3 C)1;2 D)2
9. log 6>log 1,2 tengsizlikni yeching.
A)(1/4;1) B)(0;1/4) C)(1/4; ) D)(0;1)

10.Markaziy burchakka mos yoy aylananing 4/5 qismiga teng. Shu markaziy burchakni toping.

A)144 B)72 C)216 D)288
11. Quydagi tasdiqlardan qaysilari to’g’ri
1) uchburchakka tashqi chizilgan aylananing radiusi R=abc/2S formula bilan hisoblanadi.
2) radiusi R ga teng bo’lgan doiraviy sektorning yuzi S= a formula bilan hisoblanadi.
3) tomonlari a va b ga, ular orasidagi burchak a gat eng bo’lgan uchburchakni yuzi S=1/2absina
A)2;3 B) 1;2 C)1;2;3 D)1;3
12. Tekislika tushirilgan og’maning uzunligi 125 ga uning tekislikdagi proeksiyasi esa
35 ga teng . Og’ma va tekislik orasidagi burchakni toping.
A)arccos12/25 B)arcsin24/25 C)actg7/48 D)arcsin7/25
13. ni soddalashtiring.
A)tg2a B)2tg2a C)ctg2a D)2sin2a
14. 156 va 420 ning ummumiy bo’luvchilari nechta
A) 5 B)7 C)4 D)6
14. 12 va 312 sonlaring ummumiy bo’’luvchilari nechta
A)4 B)2 C) 6 D)3

16. y= -2x+7 funksiya grafiginig absissa o’qiga eng yaqin bo’lgan nuqtanni kordinatalarini toping.

A)(4,5;0,5) B)(0,5;4,5) C)(-0,5;-4,5) D)(0,5;6,5)
17. 0 tengsizlikni manfiy butun yechimlarini yig’indisini toping.
A)-4 B)-9 C)-6 D)-5
18. dx ni hisoblang.
A)-2 B)0 C) D)-1
19. log (x+4)-log (x+4)>-3/2
A)(-4;-1) B)(0;1) C)(-2;1) D)(2;3)
20.Teng yonli uchburchakning yon tomoniga tishirilgan balandligi bilan ikkinchi yon tomoni orasidagi burchak 26 ga teng . teng yonli uchburchakning asosidagi burchagini toping
A)48 B)50 C)58 D)55

21. Tomonlari 72 va 32 m to’g’ri to’rtburchakka tengdosh kvadratni tomonini toping.

A)28 B)36 C)48 D)24
22. Muntazam to’rtburchakli piramidaninig balandligi 18 ga, asosining tomoni 15 ga teng. Piramidaning apofemasini hisoblang.
A)13 B)22,5 C)19,5 D)21
23. Konus hajminig ga nisbati 21 gat eng bo’lib , uning yasovchisi asos tekisligi bilan 45 li burchak tashfil qiladi. Konusni balandligini toping.
A)7 B)3 C)4 D)6
24. t=cos32, q=sin112 va k=tg235 sonlarni o’sish tartibida joylashtiring.
A)k25. cosx-sin3xcosx=0 tenglamani yeching.
A) B) C) D)
26. Ikki sex 230 ta kir yuvish mashinasi ishlab chiqarishi kerak. Birinchi ishlab chiqargan mahsulotni 2/9qismi ikkinchi sex ishlab chiqargan mahsulotni 80% ga teng. Birinchi sex qancha maxsulot ishlab chiqargan.
A)60 B)50 C180) D)80
27. y= funksiyani aniqlanish soxasini toping.
A)(-2;2)v{3} B)(-2;2) C)(- ;-2) V {3} D)(-2;3)
28. I5-xI=2(2x-5) bo’lsa 6+x ning qiymati necjiga teng bo’ladi.
A)7 B)8 C)11 D)9
29. tenglamani barcha natural yechimlari yig’indisini toping.
A)1 B)12 C)10 D)15
30.AB=9 DB=5,4 ABC to’g’ri burchakli uchburchakka tashqi chizilgan aylananing radiusini toping.
A) 9 B)6 C)2 D)5
31. Radiusi 3ga teng bo’lgan doiraga tashqi chizilgan teng yonli trapetsiyaning perimetri 40 ga teng. Trapetsiyaning kichik asosini toping.
A)4 B)3 C)2 D)5
32. ni uzinligi 5 dan katta bo’ladigan m ning barcha qiymatlarini toping.
A)(-1;3) B)(- ;-2) V (2; ) C)(- ;-1) V (3; ) D)(-2;2)
33. sin(1/2arccos1/9)ni hisoblang.
A)4/9 B)2/3 C)3/4 D)8/9
34. tenglamani yeching.
A)10 B)1 C)2 D)
35. Tog’ri burchakli ACB uchburchakni katetlari 8 va 10 ga teng . Shu uchburchakning C to’g’ri burchagi uchidan CE mediana va CD bissektrisa o’tkazilgan . CDE uchburchakni yuzini toping.
A) B)2 C)3 D)2
36. Teng tomonli silindrning vat eng tomonli konusning balanligi o’zaro yeng . Ularning to’la sirtlarini nisbatini toping.
A)3;8 B)5;3 C)3;2 D)3;4