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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) -4

B) -10

C) -14

D) -12

2 / 30

Tomoni 12 ga teng bo`lgan teng tomonli uchburchakga ichki chizilgan aylana uzunligini toping.

A) 3π

B) 2√3π

C) 12π

D) 4√3π

3 / 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) 108

B) 48

C) 52

D) 54

4 / 30

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

A) (4; -3)

B) (-7; 1)

C) (-7;-1)

D) (7; 1)

5 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (4;3)

C) (4;–3)

D) (3;–4)

6 / 30

Hisoblang. 11+192+1993+19994+199995+1999996+19999997+199999998+1999999999

A) 2222222175

B) 222222222222

C) 22222222220

D) 222220175

7 / 30

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

A) (∞;∞)

B) (-∞;2)

C) (-∞;2)v(2;∞)

D) (2;∞)

8 / 30

Radiusi 1 ga teng aylana uchta yoyga bo`lingan. Ularga mos markaziy burchaklar 1, 2 va 6 sonlariga proporsional. Yoylardan eng kattasining uzunligini toping.

A) 4π/3

B) 3π/4

C) 3π/2

D) 2π/3

9 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;6

B) -1;-6

C) ±6

D) ±;±6

10 / 30

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

A) 108

B) 48√3

C) 52√3

D) 54

11 / 30

Bankda qo`yilgan pul bir yildan kegin foydasi bilan 2600 so`m bo`ldi; Agar bank yillik 30% foyda to`lasa, boshida qancha pul qo`yilgan bo`ladi ?

A) 1900

B) 2000

C) 2200

D) 2100

12 / 30

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

A) 1

B) 1/2

C) 1/6

D) 1,2

13 / 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) 5/720

B) 1/60

C) 5/24

D) 6/720

14 / 30

integralning qiymatini toping.

A) 0

B) π/2

C) π/4

D) -π/2

15 / 30

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

A) [1;6]

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

C) [2;4]v{2}v[3;∞)

D) (-∞;-6]v{2}v[12;∞)

16 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)v(2;∞)

B) (-∞;2)

C) [2;∞)

D) (2;∞)

17 / 30

Hisoblang.

A) 2/17

B) 2/34

C) 15/34

D) 17/34

18 / 30

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

A) 24

B) 16

C) 32

D) 20

19 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3,5

B) 3

C) 4

D) 2

20 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 3π

B) 2π

C) 4π

D) 2π/3

21 / 30

Quyidagi 2x-y+3z=2018 va x+5y+z=2019 tekisliklarning holatini aniqlang.

A) aniqlab bo’lmaydi

B) o’zaro perpendikulyar

C) ayqash

D) o’zaro parallel

22 / 30

To’g’ri to’rtburchakning perimetri 50 ga teng. Bir tomoni boshqa tomonidan 5 ga ko’p. To’g’ri to’rtburchakning yuzini toping.

A) 150

B) 60

C) 225

D) 50

23 / 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) 2 yoki 50

B) 10 yoki 50

C) 50

D) 10

24 / 30

sin2x-cos2x=1 tenglama [-π; 2π] oraliqda nechta ildizga ega?

A) 10

B) 9

C) 7

D) 6

25 / 30

Tomoni 6 ga teng bo`lgan teng tomonli uchburchakga tashqi chizilgan doiraning yuzini toping.

A) 7 π

B) 10 π

C) 12π

D) 6 π

26 / 30

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

A) 0

B) 1

C) 2019

D) cheksiz ko’p

27 / 30

Tenglamaning nechta ildizi bor? |x+1|=|2x-1|

A) 1

B) 2

C) 4

D) 3

28 / 30

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

A) (2;∞)

B) (0,2)

C) (-∞;0)v(2;∞)

D) (-∞;0])v[2;∞)

29 / 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

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) 4760

B) 4720

C) 4716

D) 4680