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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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

2 / 30

n ning qanday qiymatida ushbu

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

A) 12

B) 10

C) 11

D) 14

3 / 30

bo’lsa, ni x orqali ifodalang.

A) 2/x

B) 25/x

C) 2-x

D) x/25

4 / 30

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

A) 10

B) 9

C) 6

D) 7

5 / 30

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

A) 10 π

B) 6 π

C) 12π

D) 7 π

6 / 30

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

A) 24√5

B) 8√5

C) 32

D) 16

7 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) juft ham emas, toq ham emas funksiya

B) toq funksiya

C) juft funksiya

D) bunday funksiya mavjud emas

8 / 30

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

A) 8

B) 9

C) 7

D) 10

9 / 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) 60

B) 50

C) 150

D) 225

10 / 30

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

A) 2

B) 1

C) 4

D) 3

11 / 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) 0,5

B) 1

C) 1/√2

D) 1/√3

12 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 3

B) 4

C) 5

D) 6

13 / 30

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

A) 16

B) 24

C) 32

D) 20

14 / 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) 150

C) 147

D) 231

15 / 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) 2200

C) 2100

D) 2000

16 / 30

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

A) 42

B) 32

C) 38

D) 36

17 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 25

B) 28

C) 20

D) 30

18 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 3, 4

B) 1,4

C) 1, 3

D) 2, 3

19 / 30

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

A) 4

B) 2√2

C) 2

D) √2

20 / 30

“Tutgan balig‘ining og‘irligi qancha?” degan savolga baliqchi: “Baliqning dumi 3 kg, boshi uning dumi hamda tanasi yarmining og‘irligiga teng, tanasi esa boshi va dumining og‘irligiga teng”, deb javob berdi. Baliqning og‘irligini (kg) toping.

A) 12

B) 6

C) 3

D) 18

21 / 30

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

A) (-∞;0)v(2;∞)

B) (-∞;0])v[2;∞)

C) (0,2)

D) (2;∞)

22 / 30

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

A) lg(lg x)

B) lg(ln x)

C) ln(lg x)

D) ln(ln x)

23 / 30

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

A) 4

B) 5

C) 8

D) 6

24 / 30

Hisoblang

A) 1

B) 3√3

C) √3

D) 2√3

25 / 30

sistemada xy ning qiymatini toping.

A) 75

B) 64

C) 60

D) 80

26 / 30

O’q kesimining diagonallari o’zaro perpendikulyar bo’lgan kesik konus yasovchisi va asos tekisligi orasidagi burchak ga teng. Agar o’q kesimining diagonali ga teng bo’lsa, kesik konus asosining yuzini toping.

A) πa²(1-2sinα/4sin²)

B) πa²(1+2cosα/4sin²)

C) πa²/4sin²α

D) πa²/4cos²α

27 / 30

Tengsizlikni yeching.

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

B) (-3;2)

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

D) (2;4)

28 / 30

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

A) o’zaro perpendikulyar

B) o’zaro kesishadi

C) o’zaro parallel

D) ayqash to’gri chiziqlar

29 / 30

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

A) ab

B) ab/c

C) abc

D) 1

30 / 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) 375

B) 127

C) 100

D) 400