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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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

2 / 30

Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

A) 4760

B) 4720

C) 4680

D) 4716

3 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (4;–3)

C) (3;–4)

D) (4;3)

4 / 30

To’g’ri burchakli uchburchakning yuzi 24 ga, katetlaridan biri 6 ga teng bo’lsa, gipotenuzasini toping

A) 11

B) √46

C) 10

D) 12

5 / 30

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

A) o’tmas burchakli uchburchak

B) o’tkir burchakli uchburchak

C) to’gri burchakli uchburchak

D) teng tomonli uchburchak

6 / 30

y=cos(2sinx) funksiyaning qiymatlar sohasini toping.

A) [-1;1]

B) [0;cos2]

C) [cos2;1]

D) [0;1]

7 / 30

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

A) √2e

B) 3e

C) e

D) 1

8 / 30

Markazi nuqtada bo‘lgan aylanaga va urinmalar o‘tkazilgan bo’lib, va nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma va kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar uchburchakning perimetri 48 va aylana radiusi 7 ga teng bo‘lsa, u holda kesma uzunligini toping

A) 15

B) 30

C) 25

D) 12

9 / 30

y= $\sqrt{2x^{2}-4x}$ funksiyaning aniqlanish sohasini toping

A) (-∞;0])v[2;∞)

B) (2;∞)

C) (0,2)

D) (-∞;0)v(2;∞)

10 / 30

sistemadan x+y+z ning qiymatini toping.

A) -139/41

B) 140/41

C) 139/41

D) 150/41

11 / 30

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

A) 30

B) 20

C) 25

D) 28

12 / 30

Teng yonli uchburchakning tomonlari 5, 5 va 6 ga teng. Bu uchburchakning bissektiritsalari va medianalari kesishgan nuqtalar

A) 1/2

B) 1

C) 1,2

D) 1/6

13 / 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) aniqlab bo’lmaydi

B) 412967

C) 374389

D) 2

14 / 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) 5√3+3/3

B) 2√2/3

C) 3√2+2/4

D) 3√3+1/5

15 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 4

B) 3,5

C) 3

D) 2

16 / 30

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

A) 20

B) 16

C) 24

D) 32

17 / 30

Radiuslari orasidagi burchagi 36^o va radiusi 5 ga teng bo`lgan sektor yoyining uzunligini toping.

A) π/2

B) π

C) 2π/3

D) 2π

18 / 30

sonning oxirgi raqamini toping.

A) 6

B) 2

C) 4

D) 8

19 / 30

funktsiyaning aniqlanish sohasini toping.

A) (1;2)

B) (-∞;1]v[2;∞)

C) (-∞;1)v(2;∞)

D) [1;2]

20 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 7200

B) 6200

C) 7000

D) 6900

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) 5/24

B) 5/720

C) 1/60

D) 6/720

22 / 30

Uchburchakning balandligi 12 ga teng bo’lib, u asosni 5:16 nidbatda bo’ladi. Agar asosning uzunligi 21 ga teng bo’lsa, uchburchakning perimetrini toping

A) 52

B) 108

C) 48

D) 54

23 / 30

Musobaqada 5 ta ishtirokchidan 3 tasiga 1, 2, 3-o’rinlarni necha xil usulda berish mumkin?

A) 60

B) 120

C) 47

D) 18

24 / 30

Quyidagilardan qaysi biri barcha lar uchun ma’noga ega (aniqlangan)?

A) ²ᴷ⁺⁴v2k+1/k²+1

B) (512-1/2⁻⁹)°

C) 4k+1/1/8:7-1/56

D) ⁴ᴷ⁺³√-√2k+1

25 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) [2;∞)

B) (-∞;2)v(2;∞)

C) (-∞;2)

D) (2;∞)

26 / 30

bo’lsa ni toping. Bunda funksiya f(x) ga teskari funksiya.

A) -4

B) -10

C) -14

D) -12

27 / 30

Bog’bon uch kun davomida o’nta daraxt ko’chati o’tqazishi lozim. Agar bog’bon bir kunda eng kamida bitta ko’chat o’tqazadigan bo’lsa, u shu ishni kunlar bo’yicha necha xil usul bilan taqsimlashi mumkin?

A) 36

B) 32

C) 30

D) 25

28 / 30

a(x+2)=2x+1 tenglama a ning qanday qiymatida yechimga ega emas?

A) (-∞;2)v(2;∞)

B) (2;∞)

C) (-∞;2)

D) (∞;∞)

29 / 30

Agar x,y sonlar (x+5)²+(y-12)²=14² tenglikni qanoatlantirsa, x²+y² ifodaning eng kichik qiymatini toping.