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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -1

B) -0,25

C) -0,75

D) -0,5

2 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 4

B) 6

C) 3

D) 5

3 / 30

ifodaning qiymatini toping.

A) -0,5

B) 0,5

C) -2

D) 0

4 / 30

Perimetri 60 ga teng bo’lgan parallelogrammning tomonlari nisbati 2:3 ga, o’tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.

A) 48√3

B) 54

C) 52√3

D) 108

5 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 28

B) 25

C) 30

D) 20

6 / 30

Sin9x =4sin3x tenglamani yeching

A) π/3+πn, n€Ζ

B) πn/3, n€Ζ

C) π/2+πn, n€Ζ

D) πn, n€Ζ

7 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

A) cheksiz ko’p

B) 0

C) 1

D) 2019

8 / 30

“Tutgan balig‘ining og‘irligi qancha?” degan savolga baliqchi: “Baliqning dumi 3 kg, boshi uning dumi hamda tanasi yarmining og‘irligiga teng, tanasi esa boshi va dumining og‘irligiga teng”, deb javob berdi. Baliqning og‘irligini (kg) toping.

A) 18

B) 12

C) 3

D) 6

9 / 30

Tengsizlikni yeching.

A) (-4;2)v(2;3)

B) (-3;2)

C) (2;4)

D) (-3;2)v(2;4)

10 / 30

To’rtburchakning uchi M (0, 4) ; N(-4,0) ; P(-3;2) uchlari berilgan. Agar bo’lsa, Q uchining koordinatalarini toping.

A) (-7; 1)

B) (-7;-1)

C) (7; 1)

D) (4; -3)

11 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi?

A) o’tkir burchakli uchburchak

B) teng tomonli uchburchak

C) o’tmas burchakli uchburchak

D) to’gri burchakli uchburchak

12 / 30

Agar f(x)=4x³-6x²-2x+3^x ^.log₃e bo’lsa, u holda ni toping.

A) 1

B) √2e

C) e

D) 3e

13 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 2

B) 3

C) 4

D) 3,5

14 / 30

sistemadan x+y+z ning qiymatini toping.

A) 140/41

B) 139/41

C) -139/41

D) 150/41

15 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 5

B) 1

C) 3

D) 2

16 / 30

Agar geometrik progressiyaning ketma–ket dastlabki uchta hadining yig’indisi 62 ga, ularning o’nli logarifmlari yig’indisi 3 ga teng bo’lsa, shu geometrik progressiyaning birinchi hadini toping.

A) 50

B) 2 yoki 50

C) 10

D) 10 yoki 50

17 / 30

Soddalashtiring. (0<m<7)

A) 7-2m

B) m

C) 7

D) 2m-7

18 / 30

sistema a ning qanday qiymatida cheksiz ko’p yechimga ega?

A) (2;∞)

B) (-∞;6)

C) 6

D) (-∞;6])v[6;∞)

19 / 30

n ning qanday qiymatida ushbu

8^{1 .}8^{2 .}8^{3 .}…^.8ⁿ=512²² tenglik o’rinli bo’ladi?

A) 11

B) 14

C) 10

D) 12

20 / 30

Ostki asosining yuzi 20π va ustki asosining yuzi 10π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda kesik konus hajmining shar hajmiga nisbatini toping.

A) 2√2/3

B) 3√2+2/4

C) 5√3+3/3

D) 3√3+1/5

21 / 30

O’qishni bilmaydigan bola alifbening A,A,A, N,N, S- 6 ta harflarini ixtiyoriy ravishda terib chiqadi. Bunda ANANAS so’zining hosil bo’lish ehtimolini toping.

A) 6/720

B) 1/60

C) 5/720

D) 5/24

22 / 30

Agar funksiya berilgan bo’lsa, u holda M=ning qiymatini toping.

A) e⁴⁹⁵⁰

B) e⁵⁰⁵⁰

C) e⁻⁴⁹⁵⁰

D) e⁻⁵⁰⁵⁰

23 / 30

Bir vaqtning o’zida 9,13, . . . ,405 va 15,21, . . . ,255 ketma–ketliklarning hadlari bo’lgan sonlarning eng kattasi va eng kichigining ayirmasini toping

A) 147

B) 150

C) 231

D) 228

24 / 30

Rombning balandligi 8 ga dioganallarining ko’paytmasi 80 ga teng. Rombning perimetrini toping

A) 32

B) 16

C) 24

D) 20

25 / 30

sistemada xy ning qiymatini toping.

A) 80

B) 64

C) 60

D) 75

26 / 30

Agar sinx+cosx=a bo’lsa, ning qiymatini toping.

A) 1/2

B) 2/5

C) -1/2

D) 1/3

27 / 30

Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

A) 2

B) aniqlab bo’lmaydi

C) 412967

D) 374389

28 / 30

Agar f(x)=sin2x va g(x)=cos2x bo’lsa, u holda f(g(x)) funksiyaning hosilasini toping.

A) -4sin2x*cos(cos2x)

B) -4sin2x*cos(2cos2x)

C) 4sin2x*cos(2cos2x)

D) 4sin2x*cos(cos2x)

29 / 30

ABC muntazam uchburchak ichidan ixtiyoriy P nuqta olinib, undan BC, CA va AB tomonlarga mos ravishda PD, PE va PF perpendikulyarlar tushirilgan bo’lsa,ni toping.