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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 1/60

C) 5/720

D) 6/720

2 / 30

Soddalashtiring. (0<m<7)

A) m

B) 7

C) 7-2m

D) 2m-7

3 / 30

Tengsizlik nechta butun yechimga ega?

A) 1

B) 3

C) 4

D) cheksiz ko’p

4 / 30

Radiuslari orasidagi burchagi 36^o va radiusi 5 ga teng bo`lgan sektor yoyining uzunligini toping.

A) 2π/3

B) π

C) π/2

D) 2π

5 / 30

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

A) 3

B) √5

C) 2

D) √15

6 / 30

Quyidagilardan qaysi biri barcha lar uchun ma’noga ega (aniqlangan)?

A) ²ᴷ⁺⁴v2k+1/k²+1

B) ⁴ᴷ⁺³√-√2k+1

C) (512-1/2⁻⁹)°

D) 4k+1/1/8:7-1/56

7 / 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) 2 yoki 50

B) 50

C) 10 yoki 50

D) 10

8 / 30

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

A) e

B) 1

C) 3e

D) √2e

9 / 30

Hisoblang.

A) 2/34

B) 15/34

C) 17/34

D) 2/17

10 / 30

Uchburchakning balandligi 12 ga teng bo’lib, u asosni 5:16 nidbatda bo’ladi. Agar asosning uzunligi 21 ga teng bo’lsa, uchburchakning perimetrini toping

A) 48

B) 108

C) 52

D) 54

11 / 30

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

A) 1

B) ab

C) abc

D) ab/c

12 / 30

Ifodani soddalashtiring.

2 cos55^o.cos40^o.sin55^o+cos110^o.sin40^o

A) 1

B) 0

C) 2

D) 0,5

13 / 30

Hisoblang

A) 1

B) 2

C) 0

D) -1

14 / 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) 2√5

B) 2√3

C) 3√3

D) 4

15 / 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 uchburchakning perimetri 48 va aylana radiusi 7 ga teng bo‘lsa, u holda kesma uzunligini toping

A) 25

B) 12

C) 30

D) 15

16 / 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) 150

C) 60

D) 225

17 / 30

7 sonini uchta natural sonlar yig’indisi ko’rinishida necha xil usulda yozish mumkin?

A) 4

B) 5

C) 3

D) 6

18 / 30

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

A) 32

B) 20

C) 24

D) 16

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) 14

B) 10

C) 24

D) 12

20 / 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) [2;4]v{2}v[3;∞)

D) [1;6]

21 / 30

Tengsizlikni yeching.

A) (2;4)

B) (-3;2)

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

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

22 / 30

a ning 7x-a-13=(a-5)(x+7) tenglama yechimga ega bo’lmaydigan qiymatining natural bo’luvchilar sonini toping.

A) 8

B) 6

C) 4

D) 12

23 / 30

sistemadan x+y+z ning qiymatini toping.

A) 139/41

B) 150/41

C) -139/41

D) 140/41

24 / 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) 8

B) 10

C) 7

D) 6

25 / 30

Tengsizlikni yeching.

A) 0

B) (0;+∞)

C) to'g'ri javob yo'q

D) (-1/³ √2 ;0)

26 / 30

y=cos(2sinx) funksiyaning qiymatlar sohasini toping.

A) [cos2;1]

B) [-1;1]

C) [0;1]

D) [0;cos2]

27 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -1

B) -0,75

C) -0,25

D) -0,5

28 / 30

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

A) -10

B) -14

C) -12

D) -4

29 / 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

30 / 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) 6

B) √37

C) 3

D) √32