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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 2π/3

B) 4π/3

C) 3π/4

D) 3π/2

2 / 30

funktsiyaning aniqlanish sohasini toping.

A) [1;2]

B) (-∞;1]v[2;∞)

C) (1;2)

D) (-∞;1)v(2;∞)

3 / 30

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

A) 22222222220

B) 222220175

C) 2222222175

D) 222222222222

4 / 30

Tengsizlikni yeching.

A) to'g'ri javob yo'q

B) (0;+∞)

C) (-1/³ √2 ;0)

D) 0

5 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 120⁰ ga teng bo’lsa, uning yuzini toping.

A) 48√3

B) 67,5√3

C) 135√3/4

D) 67,5

6 / 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

7 / 30

Hisoblang

A) 2

B) 0

C) 1

D) -1

8 / 30

Tengsizlikni yeching.

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

B) (-3;2)

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

D) (2;4)

9 / 30

Hisoblang:

A) 3

B) 1

C) 2

D) -1

10 / 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

11 / 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) √37

C) 2

D) bunday to’gri to’rtburchak mavjud emas

12 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 1,4

B) 3, 4

C) 1, 3

D) 2, 3

13 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (-∞;2)

B) (2;∞)

C) [2;∞)

D) (-∞;2)v(2;∞)

14 / 30

bo’lsa, ni x orqali ifodalang.

A) 25/x

B) 2/x

C) 2-x

D) x/25

15 / 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) 10

B) 6

C) 5

D) 4

16 / 30

To’g’ri burchakli uchburchakning gipotenuzasi 5 ga, bir katetining gipotenuzadagi proyeksiyasi 1,6 ga teng. Ikkinchi katetning kvadratini toping.

A) 16

B) 17

C) 18

D) 14

17 / 30

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

A) 120

B) 60

C) 47

D) 18

18 / 30

Ostki asosining yuzi 32π va ustki asosining yuzi 18π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning sirtini toping.

A) 96π

B) 56π

C) 100π

D) 72π

19 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 6

B) 5

C) 3

D) 4

20 / 30

A) 2

B) 3

C) 1

D) 5

21 / 30

y= $\sqrt{2x^{2}-4x}$ funksiyaning aniqlanish sohasini toping

A) (-∞;0])v[2;∞)

B) (2;∞)

C) (0,2)

D) (-∞;0)v(2;∞)

22 / 30

Agar f(x)=ax³-5x²+b va bo’lsa, a ni toping.

A) 0

B) 3

C) 2

D) 1

23 / 30

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

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

B) -x-y+z=0

C) x=y/3=z/2

D) 2x+3y+z=0

24 / 30

Hisoblang

A) 2

B) √3

C) 1/2

D) √3/2

25 / 30

sistemadan x+y+z ning qiymatini toping.

A) 150/41

B) 140/41

C) -139/41

D) 139/41

26 / 30

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

A) 2π/3

B) 2π

C) π/2

D) π

27 / 30

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

A) 9

B) 10

C) 7

D) 8

28 / 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) 3√2π/4

B) 64√2π/3

C) 8√2π/5

D) (5√3+3)π/3

29 / 30

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

A) 113°

B) 112,5°

C) 100°

D) 113,5°

30 / 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) 90°

D) 30°