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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Agar arctga+ arctgb + arctgc= bo’lsa, a+b+c ni toping.

A) abc

B) ab/c

C) 1

D) ab

2 / 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) 1/60

B) 6/720

C) 5/720

D) 5/24

3 / 30

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

A) 6900

B) 6200

C) 7000

D) 7200

4 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1]v[2;∞)

B) (1;2)

C) (-∞;1)v(2;∞)

D) [1;2]

5 / 30

Tenglamaning ildizlari yig’indisi va ko’paytmasining yig’indisini toping. |x+1|^.|x-4|=5

A) -6

B) 9

C) 6

D) -3

6 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 2π/3

B) 4π

C) 2π

D) 3π

7 / 30

Tengsizlikni yeching.

A) (-1/³ √2 ;0)

B) to'g'ri javob yo'q

C) 0

D) (0;+∞)

8 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

A) 1

B) 0

C) 2

D) cheksiz ko’p

9 / 30

AA₁A₂A₃A₄A₅A₆ muntazam oltiburchakli piramidaning hajmi ga va balandligi 2 ga teng bo‘lsa, u holda AA₂A₆ kesim yuzini toping.

A) √5

B) √15

C) 2

D) 3

10 / 30

Hisoblang.

A) 17/34

B) 15/34

C) 2/34

D) 2/17

11 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5, 6 ga teng bo’lsa, u holda AB tomon uzunligini toping.

A) √37

B) bunday to’gri to’rtburchak mavjud emas

C) √7

D) 2

12 / 30

Fazoda (1;2;3) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing.

A) x-1/2=y-2/3=z-3/4

B) 2x+3y+z=0

C) x=y/3=z/2

D) -x-y+z=0

13 / 30

ifodaning qiymatini toping.

A) -0,5

B) 0

C) -2

D) 0,5

14 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (4;–3)

C) (4;3)

D) (3;–4)

15 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

A) ln|x+4/x-1|+c

B) ln|x-1/x+4|+c

C) ln(|x+4+|x-1|)+c

D) ln(|x+4*|x-1|)+c

16 / 30

Hisoblang

A) 2

B) √3

C) √3/2

D) 1/2

17 / 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) 412967

C) 374389

D) aniqlab bo’lmaydi

18 / 30

Ostki asosining yuzi 32π va ustki asosining yuzi 18π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning sirtini toping.

A) 96π

B) 56π

C) 100π

D) 72π

19 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 1, 3

B) 2, 3

C) 1,4

D) 3, 4

20 / 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) 4680

B) 4720

C) 4760

D) 4716

21 / 30

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

A) 4sin2x*cos(2cos2x)

B) -4sin2x*cos(cos2x)

C) 4sin2x*cos(cos2x)

D) -4sin2x*cos(2cos2x)

22 / 30

Ag ar tgα=2 bo’lsa, u holda ni hisoblang

A) -10/3

B) -10/27

C) 10/3

D) 10/27

23 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (2;∞)

B) (-∞;2)

C) (-∞;2)v(2;∞)

D) [2;∞)

24 / 30

Hisoblang

A) -1

B) 0

C) 2

D) 1

25 / 30

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

A) 3

B) 2

C) 1

D) 5

26 / 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) 30

C) 32

D) 25

27 / 30

a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega

A) a ning bunday qiymati yo’q

B) a≠5

C) a≠12

D) a=12

28 / 30

qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakatning 200- metrida qanday tezlikka (m/s) erishadi?