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Matematika abituriyentlar uchun №1

1 / 30

sistemadan x+y ning qiymatini toping.

A) 35/4

B) -12

C) 6

D) 12

2 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;-6

B) ±6

C) ±;±6

D) -1;6

3 / 30

Arifmetik progressiyada a₁₇=33 va a₄₅=89. Progressiyaning birinchi hadi hamda ayirmasining o’rta geometrigini toping.

A) 2√2

B) √2

C) 2

D) 4

4 / 30

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

A) o’zaro parallel

B) o’zaro perpendikulyar

C) aniqlab bo’lmaydi

D) ayqash

5 / 30

To’rtburchakli muntazam piramidaning yon qirrasidagi ikki yoqli burchak 120 ga teng. Diagonal kesimining yuzasi S ga teng bo’lsa, uning yon sirtini toping.

A) 2S

B) 3S

C) 0,5S

D) 4S

6 / 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) 50

B) 60

C) 225

D) 150

7 / 30

Agar bank qo’yilgan pulga 40% yillik bersa, qo’yilgan 4500 so’m pul bir yildan so’ng qancha bo’ladi?

A) 6300

B) 6000

C) 6200

D) 6100

8 / 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) (5√3+3)π/3

C) 3√2π/4

D) 64√2π/3

9 / 30

Ushbu $f(x)=frac{2x+3}{x^{2}+3x-4}$ funksiyaning boshlang’ich funksiyasini toping.

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

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

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

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

10 / 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) 228

B) 147

C) 231

D) 150

11 / 30

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

A) -12

B) -4

C) -10

D) -14

12 / 30

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

A) 6

B) 7

C) 9

D) 10

13 / 30

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

A) (∞;∞)

B) (2;∞)

C) (-∞;2)

D) (-∞;2)v(2;∞)

14 / 30

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

A) 24

B) 16

C) 32

D) 20

15 / 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

16 / 30

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

A) √2e

B) 1

C) 3e

D) e

17 / 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

18 / 30

Parallelogrammning yuzi 213 ga, tomonlaridan biri 7 ga va o’tkir burchagi 60⁰ ga teng bo’lsa, ikkinchi tomonini toping

A) 5

B) 4

C) 6

D) 8

19 / 30

Hisoblang

A) √3

B) 1/2

C) √3/2

D) 2

20 / 30

tenglamalar sistemasini yeching

A) (3;–4)

B) (4;3)

C) (4;–3)

D) (–4;3)

21 / 30

Soddalashtiring.

A) a+1

B) 2019

C) 2018a/a+1

D) 2018

22 / 30

Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

A) 112,5°

B) 113,5°

C) 100°

D) 113°

23 / 30

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

A) 12π

B) 3π

C) 4√3π

D) 2√3π

24 / 30

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

A) 10 π

B) 12π

C) 7 π

D) 6 π

25 / 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(cos2x)

D) -4sin2x*cos(2cos2x)

26 / 30

ABCD kvadrat ichidan olingan O nuqtadan A, B, C uchlarigacha bo’lgan masofalar mos ravishda 3, 4, 5 ga teng bo’lsa, u holda OD kesma uzunligini toping.

A) √32

B) 6

C) √37

D) 3

27 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 5 ga, bir katetining gipotenuzadagi proyeksiyasi 1,6 ga teng. Ikkinchi katetning kvadratini toping.

A) 14

B) 16

C) 17

D) 18

28 / 30

Sin9x =4sin3x tenglamani yeching

A) πn, n€Ζ

B) π/3+πn, n€Ζ

C) π/2+πn, n€Ζ

D) πn/3, n€Ζ

29 / 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) 374389

B) aniqlab bo’lmaydi

C) 412967

D) 2

30 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1]v[2;∞)

B) (-∞;1)v(2;∞)

C) [1;2]

D) (1;2)

Matematika abituriyent testi №1

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