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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

ABC muntazam uchburchak ichidan ixtiyoriy P nuqta olinib, undan BC, CA va AB tomonlarga mos ravishda PD, PE va PF perpendikulyarlar tushirilgan bo’lsa,ni toping.

A) 1/√3

B) 0,5

C) 1/√2

D) 1

2 / 30

ifodaning qiymatini toping.

A) 0,5

B) -0,5

C) -2

D) 0

3 / 30

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

A) 10/3

B) -10/27

C) 10/27

D) -10/3

4 / 30

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

A) (∞;∞)

B) (-∞;2)

C) (-∞;2)v(2;∞)

D) (2;∞)

5 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1]v[2;∞)

B) (-∞;1)v(2;∞)

C) [1;2]

D) (1;2)

6 / 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) 4760

C) 4680

D) 4716

7 / 30

sistemada xy ning qiymatini toping.

A) 60

B) 75

C) 80

D) 64

8 / 30

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

A) 6 π

B) 10 π

C) 7 π

D) 12π

9 / 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) bunday to’gri to’rtburchak mavjud emas

B) √7

C) √37

D) 2

10 / 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

11 / 30

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

A) 1,5

B) √3/2

C) √5/2

D) 1

12 / 30

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

A) 20

B) 32

C) 16

D) 24

13 / 30

n ning qanday qiymatida ushbu

8^{1 .}8^{2 .}8^{3 .}…^.8ⁿ=512²² tenglik o’rinli bo’ladi?

A) 12

B) 11

C) 10

D) 14

14 / 30

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

A) 54

B) 52√3

C) 108

D) 48√3

15 / 30

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

A) ayqash

B) aniqlab bo’lmaydi

C) o’zaro perpendikulyar

D) o’zaro parallel

16 / 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) 10

B) 2 yoki 50

C) 10 yoki 50

D) 50

17 / 30

Tengsizlikni yeching.

A) (-3;2)

B) (-4;2)v(2;3)

C) (2;4)

D) (-3;2)v(2;4)

18 / 30

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

A) 6

B) 5

C) 8

D) 4

19 / 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) 0,5S

C) 3S

D) 4S

20 / 30

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

A) 222222222222

B) 2222222175

C) 22222222220

D) 222220175

21 / 30

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

A) (-∞;0)v(2;∞)

B) (0,2)

C) (-∞;0])v[2;∞)

D) (2;∞)

22 / 30

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

A) 112,5°

B) 113°

C) 100°

D) 113,5°

23 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±;±6

B) -1;6

C) -1;-6

D) ±6

24 / 30

Hisoblang.

A) 2/34

B) 15/34

C) 2/17

D) 17/34

25 / 30

Quyidagi va to’g’ri chiziqlarning o’zaro holatini aniqlang.

A) o’zaro kesishadi

B) o’zaro perpendikulyar

C) ayqash to’gri chiziqlar

D) o’zaro parallel

26 / 30

Ifodani soddalashtiring. [ln(ln x)-ln(log_e10)]^.log₁₀e

A) lg(ln x)

B) lg(lg x)

C) ln(ln x)

D) ln(lg x)

27 / 30

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

A) (-7;-1)

B) (4; -3)

C) (-7; 1)

D) (7; 1)

28 / 30

Bekzodda 50 so’m va Sobirda 70 so’m pul bor edi. Anvar Bekzodga o’z pulining 10 foizini bergandan so’ng, Bekzod Sobirga pulining yarmini berdi. So’ng Sobir Anvarga pulining 10 foizini berdi. Anvar o’zidagi pullarini hisoblab, pullari dastlabki holdagi puli bilan teng ekanligini bildi. Anvarda qancha pul bo’lgan?

A) 127

B) 400

C) 100

D) 375

29 / 30

sistema yagona yechimga ega bo’ladigan a ning barcha qiymatlari to’plamini toping.