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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) ayqash to’gri chiziqlar

B) o’zaro kesishadi

C) o’zaro parallel

D) o’zaro perpendikulyar

2 / 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) 412967

C) 2

D) aniqlab bo’lmaydi

3 / 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) 2

B) 1

C) cheksiz ko’p

D) 0

4 / 30

Ushbu (y⁶+y³+1)(y³+1)(y³-1)-y⁶+y³+1 ifodani soddalashtish natijasida ko’phad hosil qilindi. Uning nechta hadi bor?

A) 3

B) 4

C) 1

D) 2

5 / 30

Tengsizlikni yeching.

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

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

C) (2;4)

D) (-3;2)

6 / 30

sistemadan x+y ning qiymatini toping.

A) 12

B) -12

C) 6

D) 35/4

7 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45^o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

A) 3√3

B) 2√5

C) 4

D) 2√3

8 / 30

Hisoblang

A) 2

B) 0

C) 1

D) -1

9 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)v(2;∞)

B) [2;∞)

C) (2;∞)

D) (-∞;2)

10 / 30

bo’lsa, ni x orqali ifodalang.

A) x/25

B) 2-x

C) 25/x

D) 2/x

11 / 30

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

A) -10

B) -12

C) -4

D) -14

12 / 30

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

A) 3

B) 4

C) 1

D) 2

13 / 30

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

A) (-∞;6)

B) (2;∞)

C) 6

D) (-∞;6])v[6;∞)

14 / 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) 2π/3

C) 3π/4

D) 3π/2

15 / 30

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

A) (-∞;-6]v{2}v[12;∞)

B) [1;6]

C) [2;4]v{2}v[3;∞)

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

16 / 30

tenglamalar sistemasini yeching

A) (4;4)

B) (-4;-4)

C) (4;–4)

D) (-4;4)

17 / 30

(-3;4) nuqtaga absissa, ordinata o’qlariga va koordinata boshiga nisbatan simmetrik bo’lgan nuqtalarni tutashtirishdan hosil bo’lgan uchburchakning eng kata tomonini toping.

A) 10

B) 12

C) 24

D) 14

18 / 30

Hisoblang:

A) 2

B) 1

C) 3

D) -1

19 / 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

B) 1/√2

C) 0,5

D) 1/√3

20 / 30

sonning oxirgi raqamini toping.

A) 4

B) 2

C) 8

D) 6

21 / 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) 5/720

C) 1/60

D) 6/720

22 / 30

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

A) 1/6

B) 1/2

C) 1

D) 1,2

23 / 30

Soddalashtiring.

A) 2018

B) 2018a/a+1

C) a+1

D) 2019

24 / 30

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

A) 7000

B) 6900

C) 7200

D) 6200

25 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,25

B) -0,5

C) -0,75

D) -1

26 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 13 ga, katetlaridan biri 52 ga teng. Gipotenuzaga tushirilgan balandlik uzunligini toping

A) 6

B) 7

C) 4

D) 5

27 / 30

n ning qanday qiymatida ushbu

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

A) 10

B) 14

C) 12

D) 11

28 / 30

Yuzasi 10 ga teng bo’lgan kvadratning ketma-ket ikki uchidan o’tuvchi aylana chizilgan. Uchinchi uchidan aylanaga urunma o’tkazilgan. Urunma tomondan ikki marta katta bo’lsa, aylana radiusini toping.

A) 4

B) 10

C) 6

D) 5

29 / 30

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

A) 6 π

B) 12π

C) 7 π

D) 10 π

30 / 30

ifodaning qiymatini toping.