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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 4

B) 7

C) 6

D) 5

2 / 30

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

A) (512-1/2⁻⁹)°

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

C) ⁴ᴷ⁺³√-√2k+1

D) ²ᴷ⁺⁴v2k+1/k²+1

3 / 30

Agar bank qo’yilgan pulga 40% yillik bersa, qo’yilgan 4500 so’m pul bir yildan so’ng qancha bo’ladi?

A) 6100

B) 6200

C) 6300

D) 6000

4 / 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) 6

B) 8

C) 7

D) 10

5 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 4

B) 6

C) 5

D) 3

6 / 30

Ifodani soddalashtiring.

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

A) 0,5

B) 1

C) 2

D) 0

7 / 30

Tomoni 12 ga teng bo`lgan teng tomonli uchburchakga ichki chizilgan aylana uzunligini toping.

A) 3π

B) 4√3π

C) 2√3π

D) 12π

8 / 30

Tengsizlikni yeching.

A) (2;4)

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

C) (-3;2)

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

9 / 30

A) √6

B) 0

C) 2

D) 1

10 / 30

A) 2

B) 3

C) 1

D) 5

11 / 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) 15

C) 30

D) 12

12 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 2

B) 3

C) 3,5

D) 4

13 / 30

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

A) 6

B) 4

C) 12

D) 8

14 / 30

To’g’ri burchakli uchburchakning yuzi 24 ga, katetlaridan biri 6 ga teng bo’lsa, gipotenuzasini toping

A) √46

B) 10

C) 12

D) 11

15 / 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/√2

B) 1

C) 1/√3

D) 0,5

16 / 30

Sin9x =4sin3x tenglamani yeching

A) π/3+πn, n€Ζ

B) πn/3, n€Ζ

C) πn, n€Ζ

D) π/2+πn, n€Ζ

17 / 30

n ning qanday qiymatida ushbu

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

A) 14

B) 10

C) 12

D) 11

18 / 30

Agar funksiya berilgan bo’lsa, u holda M=ning qiymatini toping.

A) e⁻⁴⁹⁵⁰

B) e⁴⁹⁵⁰

C) e⁻⁵⁰⁵⁰

D) e⁵⁰⁵⁰

19 / 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

20 / 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) 3S

B) 4S

C) 2S

D) 0,5S

21 / 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√2+2/4

B) 3√3+1/5

C) 5√3+3/3

D) 2√2/3

22 / 30

Hisoblang

A) 0

B) -1

C) 1

D) 2

23 / 30

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

A) 2

B) √2

C) 2√2

D) 4

24 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1)v(2;∞)

B) (-∞;1]v[2;∞)

C) (1;2)

D) [1;2]

25 / 30

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

A) [cos2;1]

B) [0;cos2]

C) [0;1]

D) [-1;1]

26 / 30

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

A) 3

B) 5

C) 6

D) 4

27 / 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) √37

B) 6

C) √32

D) 3

28 / 30

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