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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 8

B) 10

C) 7

D) 9

2 / 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) 50

B) 2 yoki 50

C) 10 yoki 50

D) 10

3 / 30

Ostki asosining yuzi 20π va ustki asosining yuzi 10π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda kesik konus hajmining shar hajmiga nisbatini toping.

A) 3√3+1/5

B) 5√3+3/3

C) 2√2/3

D) 3√2+2/4

4 / 30

x(t)=t²+7t-6 qonuniyat bo’yicha harakatlanayotgan moddiy nuqtaning tezligi harakat boshlangandan necha sekund o’tgach 87 m/s ga teng bo’ladi?

A) 40

B) 54

C) 36

D) 50

5 / 30

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

A) 6900

B) 6200

C) 7000

D) 7200

6 / 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) 3

C) 6

D) √37

7 / 30

Soddalashtiring.

A) a+1

B) 2018a/a+1

C) 2019

D) 2018

8 / 30

Markazi nuqtada bo‘lgan aylanaga va urinmalar o‘tkazilgan bo’lib, va nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma va kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar uchburchakka ichki chizilgan aylana markazi bo‘lsa, u holda burchakni toping.

A) 60°

B) 72°

C) 30°

D) 90°

9 / 30

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

A) 8√5

B) 16

C) 32

D) 24√5

10 / 30

Hisoblang:

A) -1

B) 3

C) 1

D) 2

11 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) [2;∞)

B) (-∞;2)v(2;∞)

C) (2;∞)

D) (-∞;2)

12 / 30

Tomoni 2 ga teng kvadratga tashqi chizilgan aylana uzunligini toping.

A) 3π

B) 2π

C) 2π/3

D) 4π

13 / 30

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

A) lg(ln x)

B) ln(ln x)

C) lg(lg x)

D) ln(lg x)

14 / 30

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

A) 1/6

B) 1

C) 1,2

D) 1/2

15 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) 1; 10

B) [10;∞)

C) (-∞;1]

D) (-∞;1]v[10;∞)

16 / 30

tenglamalar sistemasini yeching

A) (-4;4)

B) (4;4)

C) (4;–4)

D) (-4;-4)

17 / 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) √7

B) 2

C) bunday to’gri to’rtburchak mavjud emas

D) √37

18 / 30

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

A) (-∞;2)

B) (∞;∞)

C) (-∞;2)v(2;∞)

D) (2;∞)

19 / 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) 24

B) 14

C) 10

D) 12

20 / 30

sistemadan x+y+z ning qiymatini toping.

A) 139/41

B) 150/41

C) 140/41

D) -139/41

21 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 3

B) 4

C) 6

D) 5

22 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3

B) 3,5

C) 4

D) 2

23 / 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) 6200

C) 6100

D) 6000

24 / 30

Hisoblang

A) √3/2

B) 1/2

C) √3

D) 2

25 / 30

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

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

B) (-∞;-6]v{2}v[12;∞)

C) [1;6]

D) [2;4]v{2}v[3;∞)

26 / 30

Hisoblang

A) √3

B) 3√3

C) 2√3

D) 1

27 / 30

x(t)=t²+6t+5 qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakat boshlangandan necha sekund o’tgach boshlang’ich nuqtaga nisbatan 77 metr masofaga siljiydi?

A) 10

B) 7

C) 6

D) 8

28 / 30

AA₁A₂A₃A₄A₅A₆ muntazam oltiburchakli piramidaning hajmi ga va balandligi 2 ga teng bo‘lsa, u holda AA₂A₆ kesim yuzini toping.

A) 3

B) 2

C) √15

D) √5

29 / 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) 6

B) 3

C) 12

D) 18

30 / 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) 64√2π/3

B) (5√3+3)π/3

C) 8√2π/5

D) 3√2π/4