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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

A) 2

B) 374389

C) aniqlab bo’lmaydi

D) 412967

2 / 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) 10

C) 8

D) 7

3 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) [10;∞)

B) (-∞;1]

C) (-∞;1]v[10;∞)

D) 1; 10

4 / 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) 10

B) 14

C) 12

D) 24

5 / 30

Rasmda ko‘rsatilgan ko‘pyoqlardan qaysi birida 4 ta yoq, 6 ta qirra bor?

A) 2

B) 1, 3

C) 3

D) 1, 2

6 / 30

Markazi O nuqtada bo‘lgan aylanaga PA va PB urinmalar o‘tkazilgan bo’lib, A va B nuqtalar urinish nuqtalari bo’lsin. Aylanadagi Q nuqtadan o‘tkazilgan uchinchi urinma PA va PB kesmalarni X va Y nuqtalarda kesib o‘tadi. Agar XQ=YQ bo‘lsa, u holda PXY uchburchak qanday uchburchak bo‘ladi?

A) muntazam uchburchak

B) to`g`ri burchakli uchburchak

C) ixtiyoriy uchburchak

D) teng yonli uchburchak

7 / 30

Tengsizlik nechta butun yechimga ega?

A) 3

B) 1

C) cheksiz ko’p

D) 4

8 / 30

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

A) [cos2;1]

B) [-1;1]

C) [0;1]

D) [0;cos2]

9 / 30

Tengsizlikni yeching.

A) (-1/³ √2 ;0)

B) 0

C) to'g'ri javob yo'q

D) (0;+∞)

10 / 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) 6000

D) 6300

11 / 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) 52

B) 48

C) 108

D) 54

12 / 30

n ning qanday qiymatida ushbu

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

A) 14

B) 11

C) 10

D) 12

13 / 30

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

A) ab/c

B) abc

C) 1

D) ab

14 / 30

Ushbu (y⁶+y³+1)(y³+1)(y³-1)-y⁶+y³+1 ifodani soddalashtish natijasida ko’phad hosil qilindi. Uning nechta hadi bor?

A) 2

B) 3

C) 4

D) 1

15 / 30

Hisoblang:

A) 2

B) 3

C) -1

D) 1

16 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 1

B) 2

C) 3

D) 5

17 / 30

a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega

A) a ning bunday qiymati yo’q

B) a≠12

C) a=12

D) a≠5

18 / 30

Sin9x =4sin3x tenglamani yeching

A) πn/3, n€Ζ

B) π/2+πn, n€Ζ

C) π/3+πn, n€Ζ

D) πn, n€Ζ

19 / 30

Agar sinx+cosx=a bo’lsa, ning qiymatini toping.

A) 2/5

B) 1/3

C) -1/2

D) 1/2

20 / 30

bo’lsa, ni x orqali ifodalang.

A) x/25

B) 2/x

C) 2-x

D) 25/x

21 / 30

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

A) (2;∞)

B) (-∞;2)

C) (∞;∞)

D) (-∞;2)v(2;∞)

22 / 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) √32

C) 3

D) 6

23 / 30

ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

A) 2

B) cheksiz ko’p

C) 0

D) 1

24 / 30

Ag ar tgα=2 bo’lsa, u holda ni hisoblang

A) 10/27

B) 10/3

C) -10/27

D) -10/3

25 / 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) 8√2π/5

B) (5√3+3)π/3

C) 64√2π/3

D) 3√2π/4

26 / 30

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

A) 11

B) 12

C) 10

D) √46

27 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 2, 3

B) 3, 4

C) 1, 3

D) 1,4

28 / 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) 2√2/3

B) 5√3+3/3

C) 3√3+1/5

D) 3√2+2/4

29 / 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) 4π/3

B) 3π/2

C) 3π/4

D) 2π/3

30 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?