Kattaqo’rg’on Matematiklari Matematika 2-variant

Kattaqo’rg’on Matematiklari
Matematika 2-variant
1. a=1 bo’lsa integralni hisoblang.
A)-1 B)1 C)0 D)2
2. Beshta tub sonlar ayirmasi 6 ga teng bo’lgan arifmetik progressiyani tashkil qiladi. ni toping.
A)61 B)27 C)52 D)29
3. x=-y, z=3 bo’lsa, ifodani qiymatini toping.
A)3 B)-3 C)1 D)-1
4. y=3sin4x+2sin6x funksiyani hosilasini toping?
A)48sin5xcosx B)24sin5xcosx C)24cos5xcosx D)-24cos5xcosx
5. 15 o’quvchidan 3 kishilik qo’mitani necha usul bilan tanlash mumkin?
A)81 B)18,2 D)15
6. arcctg3-arctg2 ni hisoblang.
A) - B) C) D)
7. To’g’ri burchakli uchburchakning tomonlari ayirmasi 1,5 ga teng bo’lgan arifmetik progressiyani tashkil etadi.Uchburchakning perimetrini toping
A)9 B)15 C)17 D)18
8. . Hisoblang.
A) B) C) D)
9. Uzunligi 12 bo’lgan aylanaga muntazam oltiburchak va ABC uchburchak ichki chizilgan.ABC uchburchakning o’tkir burchagi 60 bo’lib, uning AB tomoni aylananing markazidan o’tadi. Muntazam oltiburchakning yuzi ABC uchburchakning yuzidan qanchaga katta?
A)32 B) C) D)18
10. kasrni qisqartiring.
A) B) C) D)-1
11. 4 12 16 necha ga teng?
A) B) C) D)
12. ni hisoblang.
A) B) C) D)
13. f(x)=( parobola uchining koordinatalari yig’indisini toping.
A)8 B) C) D)-12
14. f(x)= x-2 funksiya uchun quyidagi tengliklardan qaysi biri to’gri?
A) f( =110 B) f( =145 C) f(0)=2 D) f(
15. Agar f(x) chiziqli funksiya uchun f(1)+f(x-3)=7x-2 bo’lsa, f(x) ni topib, f(7 ) ni hisoblang.
A)35274 B)35280 C)5046 D)35286
16. Trapetsiyaning asoslari 3 va 5 yon tomonlari 2 va 4 bo’lsa, uning diagonallari kvadratlarining yig’indisini toping.
A)50 B)60 C)45 D)54
17. Bugun shanba va soat 7:00 bo’lsa, 2015 soatdan keyin qaysi hafta kuni bo’ladi?
A)shanba B)chorshanba C)Juma D)Payshanba
18. Agar ning son qiymatini toping?
A) B) C) D)
19. ABCD rombda AC>BD va =2 bo’lsa A burchakni toping?
A)150 B)60 C)30 D)120
20. Agar + =Z bo’lsa,
+ yig’indini toping.
A)Z-2 B)2-Z C)3-Z D)Z-3
21. Agar bo’lsa, (
A) B) C)aniqlab bo’lmaydi. D)
22. ni soddalashtiring.
A) B) C)
23. Har qanday uchtasi bir to’g’ri chiziqda yotmaydigan 109 ta nuqta orqali nechta turlicha to’g’ri chiziq o’tkazish mumkin?
A)109 108 B)108 C)5886 D)11881
24. (x+1)(x+2)(x+4)(x+5)=40 (x tenglamaning ildizlari yig’indisini toping?
A)-6 B)3 C)-3 D)-5
25. ni hisoblang.
A) B)2 C)-1 D)1
26. y= funksiyaning x= nuqtadagi qiymatini hisoblang.
A) B)0 C)1 D)-
27. Agar A= bo’lsa
( ni hisoblang.
A)1 B)-1 C) D)0
28. Velosipedchi tepalikka 12km/soat tezlik bilan chiqdi. Chiqqan yo’li orqali 20 km/soat tezlik bilan pastga tushdi va chiqishdagiga qaraganda 16 min kamroq vaqt sarfladi. Yo’lning uzunligini (km) toping.
A)14 B)10 C)8 D)12
29. tengsizlikni yeching.
A)(0;40) B)(10; C) D)(10;50)
30. 2 radiusli sferaga muntazam to’rtburchakli piramida ichki chizilgan.Uchidagi yassi burchagi 45 ga teng bo’lsa, piramida yon sirtining yuzini toping.
A)28 B)32 C)16
31. to’plamni nechta usul bilan ikkita kesishmaydigan qism to’plamlarga ajratish mumkin?
A)16 B)5 C)32 D)33
32. Uchburchakning uchlari to’g’ri burchakli dekart koordinatalar sistemasida quyidagicha berilgan. A(0;0), B(-1;-2),C(-2;0). Uchburchak yuzini toping.
A)3 B)0,5 C)2 D)1+0,(9)
33. 2 va 2 perpendikulyar vektorlar berilgan. Agar bo’lsa, ni toping.
A) B) C)100 D) +12
34. Muntazam to’rtburchakli kesik piramida asoslarining tomonlari 9 cm va 15 cm. Kesik piramidaning diagonali 18 cm bo’lsa, uning balandligini (cm) toping.
A)8 B)7 C)6 D)9
35. Ushbu f(x)= funksiyaning boshlang’ich funksiyasini toping.
A)In( +c B)x-In +c C) +c D) x+In +c
36. C nuqta AB kesmaning o’rtasi. AC va BC kesmalarda mos ravishda M,N nuqtalar shunday olinganki, AM:MC=CN:NB munosabat bajariladi. Agar AB kesma uzunligi 36ga teng bo’lsa, MN kesma uzunligini toping.
A)12 B)9 C)18 D)24
37. Ifodani soddalashtiring.
, x )
A)sinx B)2tgx C)sinx+1 D)-sinx
38. Savatda 3ta anor, 8ta nok va 8 ta banan bor. Savatdan ikkita turli nomdagi mevani tanlashni necha usulda amalga oshirish mumkin?
A)19 B)112 c)192 D)2
39. = = =3 bo’lsa, d ning qiymatini toping.
A)0,5 B)1,5 C)1 D)2
40. Muntazam uchburchakning balandligi 18 ga teng .Bu uchburchakka tashqi chizilgan aylananing radiusini toping.
A)12 B)10 C)6 D)18