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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

sistemada xy ning qiymatini toping.

A) 60

B) 75

C) 64

D) 80

2 / 30

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

A) 10

B) 9

C) 7

D) 6

3 / 30

Musobaqada 5 ta ishtirokchidan 3 tasiga 1, 2, 3-o’rinlarni necha xil usulda berish mumkin?

A) 60

B) 18

C) 120

D) 47

4 / 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) 108

B) 54

C) 52

D) 48

5 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)v(2;∞)

B) [2;∞)

C) (2;∞)

D) (-∞;2)

6 / 30

Ifodani soddalashtiring.

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

A) 2

B) 1

C) 0

D) 0,5

7 / 30

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

A) 6 π

B) 7 π

C) 12π

D) 10 π

8 / 30

bo’lsa, ni x orqali ifodalang.

A) 2/x

B) 25/x

C) 2-x

D) x/25

9 / 30

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

A) ln(ln x)

B) ln(lg x)

C) lg(ln x)

D) lg(lg x)

10 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 3

B) 6

C) 4

D) 5

11 / 30

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

A) 10

B) √46

C) 11

D) 12

12 / 30

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

A) 32

B) 42

C) 36

D) 38

13 / 30

Fazoda (1;2;3) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing.

A) 2x+3y+z=0

B) x=y/3=z/2

C) -x-y+z=0

D) x-1/2=y-2/3=z-3/4

14 / 30

Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

A) 4720

B) 4716

C) 4760

D) 4680

15 / 30

Hisoblang. 11+192+1993+19994+199995+1999996+19999997+199999998+1999999999

A) 22222222220

B) 222220175

C) 2222222175

D) 222222222222

16 / 30

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

A) 16

B) 24√5

C) 32

D) 8√5

17 / 30

200 kishidan iborat turistlar guruxida 140 kishi ingliz tilini, 90 kishi nemis tilini va 46 kishi ikkala tilni biladi. Ikkala tilni xam bilmaydigan turistlar necha foizni tashkil qiladi.

A) 4

B) 16

C) 8

D) 12

18 / 30

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

A) (-∞;2)

B) (∞;∞)

C) (2;∞)

D) (-∞;2)v(2;∞)

19 / 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) 5√3+3/3

B) 3√2+2/4

C) 2√2/3

D) 3√3+1/5

20 / 30

tenglamalar sistemasini yeching

A) (3;–4)

B) (–4;3)

C) (4;–3)

D) (4;3)

21 / 30

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

A) o’zaro kesishadi

B) ayqash to’gri chiziqlar

C) o’zaro parallel

D) o’zaro perpendikulyar

22 / 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) 1/√3

D) 0,5

23 / 30

a=sin 1; b=sin 2; c=sin 3; d=sin 4 va e=sin 5 sonlarni kamayish tartibida joylashtiring.

A) e>b>a>d>c

B) a>b>c>d>e

C) b>c>a>d>e

D) b>a>c>d>e

24 / 30

A(2;-2,5) nuqtadan y= - 4x parabolagacha bo’lgan eng qisqa masofani toping.

A) √3/2

B) 1,5

C) 1

D) √5/2

25 / 30

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

A) e⁴⁹⁵⁰

B) e⁻⁵⁰⁵⁰

C) e⁵⁰⁵⁰

D) e⁻⁴⁹⁵⁰

26 / 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

27 / 30

Tenglamaning ildizlari yig’indisi va ko’paytmasining yig’indisini toping. |x+1|^.|x-4|=5

A) -3

B) 9

C) 6

D) -6

28 / 30

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

A) [1;6]

B) (-∞;-6]v{2}v[12;∞)

C) [2;4]v{2}v[3;∞)

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

29 / 30

Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

A) 112,5°

B) 100°

C) 113°

D) 113,5°

30 / 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) 5

C) 10

D) 6