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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 1

B) abc

C) ab/c

D) ab

2 / 30

Sin9x =4sin3x tenglamani yeching

A) πn/3, n€Ζ

B) πn, n€Ζ

C) π/3+πn, n€Ζ

D) π/2+πn, n€Ζ

3 / 30

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

A) 1/2

B) 1/3

C) 2/5

D) -1/2

4 / 30

Soddalashtiring.

A) 2018a/a+1

B) 2019

C) a+1

D) 2018

5 / 30

sistemadan x+y+z ning qiymatini toping.

A) 140/41

B) 139/41

C) -139/41

D) 150/41

6 / 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) 48

D) 52

7 / 30

Hisoblang

A) 1/2

B) √3

C) √3/2

D) 2

8 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,25

B) -1

C) -0,75

D) -0,5

9 / 30

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

A) a≠5

B) a ning bunday qiymati yo’q

C) a=12

D) a≠12

10 / 30

bo’lsa, ni x orqali ifodalang.

A) 25/x

B) x/25

C) 2-x

D) 2/x

11 / 30

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

A) (0,2)

B) (-∞;0])v[2;∞)

C) (2;∞)

D) (-∞;0)v(2;∞)

12 / 30

Parallelogrammning yuzi 213 ga, tomonlaridan biri 7 ga va o’tkir burchagi 60⁰ ga teng bo’lsa, ikkinchi tomonini toping

A) 5

B) 6

C) 8

D) 4

13 / 30

n ning qanday qiymatida ushbu

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

A) 11

B) 10

C) 12

D) 14

14 / 30

To‘g‘ri to‘rtburchakning eni 25% ga orttirildi, bo‘yi esa 25% ga kamaytirildi. Natijada uning yuzi qanday o‘zgardi?

A) 2,5% ga ortadi

B) o‘zgarmaydi

C) 6,25% ga kamayadi

D) 6,25% ga ortadi

15 / 30

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

A) π

B) 2π

C) π/2

D) 2π/3

16 / 30

Perimetri 60 ga teng bo’lgan parallelogrammning tomonlari nisbati 2:3 ga, o’tkir burchagi esa 30⁰ ga teng. Parallelogrammning yuzini toping.

A) 52√3

B) 48√3

C) 108

D) 54

17 / 30

O’q kesimining diagonallari o’zaro perpendikulyar bo’lgan kesik konus yasovchisi va asos tekisligi orasidagi burchak ga teng. Agar o’q kesimining diagonali ga teng bo’lsa, kesik konus asosining yuzini toping.

A) πa²(1+2cosα/4sin²)

B) πa²(1-2sinα/4sin²)

C) πa²/4cos²α

D) πa²/4sin²α

18 / 30

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

A) 6

B) 9

C) 10

D) 7

19 / 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) ixtiyoriy uchburchak

B) to`g`ri burchakli uchburchak

C) muntazam uchburchak

D) teng yonli uchburchak

20 / 30

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

A) e⁴⁹⁵⁰

B) e⁻⁵⁰⁵⁰

C) e⁻⁴⁹⁵⁰

D) e⁵⁰⁵⁰

21 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;-6

B) -1;6

C) ±;±6

D) ±6

22 / 30

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

A) 0

B) 2

C) 3

D) 1

23 / 30

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

A) 3

B) 2

C) 1

D) 5

24 / 30

sistema a ning qanday qiymatida cheksiz ko’p yechimga ega?

A) 6

B) (2;∞)

C) (-∞;6])v[6;∞)

D) (-∞;6)

25 / 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

26 / 30

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

A) 6

B) 4

C) 7

D) 5

27 / 30

Soddalashtiring. (0<m<7)

A) 7

B) 7-2m

C) 2m-7

D) m

28 / 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) 4760

C) 4680

D) 4716

29 / 30

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

A) 113,5°

B) 112,5°

C) 100°

D) 113°

30 / 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) 2

B) √7

C) √37

D) bunday to’gri to’rtburchak mavjud emas