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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 25

C) 30

D) 32

2 / 30

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

A) -10/27

B) 10/3

C) 10/27

D) -10/3

3 / 30

Radiusi 25 bo’lgan doirada 48 ga teng vatar o’tkazilgan. Doira markazidan shu vatargacha masofani toping.

A) 7

B) 8

C) 9

D) 10

4 / 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) 1/60

C) 6/720

D) 5/720

5 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) juft funksiya

B) bunday funksiya mavjud emas

C) juft ham emas, toq ham emas funksiya

D) toq funksiya

6 / 30

A(2;-2,5) nuqtadan y= - 4x parabolagacha bo’lgan eng qisqa masofani toping.

A) 1,5

B) 1

C) √3/2

D) √5/2

7 / 30

Soddalashtiring. (0<m<7)

A) 7-2m

B) 2m-7

C) 7

D) m

8 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)

B) (2;∞)

C) [2;∞)

D) (-∞;2)v(2;∞)

9 / 30

Tengsizlikni yeching.

A) (0;+∞)

B) (-1/³ √2 ;0)

C) 0

D) to'g'ri javob yo'q

10 / 30

Hisoblang.

A) 17/34

B) 2/17

C) 15/34

D) 2/34

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) 2

B) bunday to’gri to’rtburchak mavjud emas

C) √7

D) √37

12 / 30

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

A) 1

B) abc

C) ab

D) ab/c

13 / 30

Ostki asosining yuzi 16π ga va ustki asosining yuzi 4π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning hajmini toping.

A) 8√2π/5

B) 3√2π/4

C) 64√2π/3

D) (5√3+3)π/3

14 / 30

A) 3

B) 2

C) 5

D) 1

15 / 30

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

A) 6200

B) 7200

C) 6900

D) 7000

16 / 30

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

A) (-∞;2)v(2;∞)

B) (2;∞)

C) (∞;∞)

D) (-∞;2)

17 / 30

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

A) 2

B) 1

C) √2

D) √3

18 / 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) cheksiz ko’p

B) 2

C) 1

D) 0

19 / 30

sistemadan x+y+z ning qiymatini toping.

A) 139/41

B) 150/41

C) -139/41

D) 140/41

20 / 30

|x²-5x-14|+20≥5|x+2|+4|x-7| tengsizlikni yeching.

A) [2;4]v{2}v[3;∞)

B) (-∞;-6]v{2}v[12;∞)

C) [-2;4]v{6}

D) [1;6]

21 / 30

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

A) 3e

B) 1

C) e

D) √2e

22 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 5

B) 3

C) 4

D) 6

23 / 30

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

A) (-∞;6])v[6;∞)

B) 6

C) (2;∞)

D) (-∞;6)

24 / 30

Hisoblang

A) 2√3

B) √3

C) 1

D) 3√3

25 / 30

Tomoni 25 ga diagonallaridan biri 4 ga teng bo’lgan rombning yuzini toping.

A) 8√5

B) 32

C) 16

D) 24√5

26 / 30

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

A) 42

B) 32

C) 38

D) 36

27 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 1, 3

B) 1,4

C) 2, 3

D) 3, 4

28 / 30

integralning qiymatini toping.

A) π/2

B) π/4

C) 0

D) -π/2

29 / 30

x(t)=t²+7t-6 qonuniyat bo’yicha harakatlanayotgan moddiy nuqtaning tezligi harakat boshlangandan necha sekund o’tgach 87 m/s ga teng bo’ladi?

A) 36

B) 54

C) 40

D) 50

30 / 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) 4720

B) 4716

C) 4680

D) 4760