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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Hisoblang

A) √3

B) 1

C) 2√3

D) 3√3

2 / 30

Soddalashtiring.

A) 2019

B) 2018a/a+1

C) 2018

D) a+1

3 / 30

Tengsizlikni yeching.

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

B) (2;4)

C) (-3;2)

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

4 / 30

Rombning balandligi 8 ga dioganallarining ko’paytmasi 80 ga teng. Rombning perimetrini toping

A) 16

B) 32

C) 20

D) 24

5 / 30

Agar x,y sonlar (x+5)²+(y-12)²=14² tenglikni qanoatlantirsa, x²+y² ifodaning eng kichik qiymatini toping.

A) √3

B) 1

C) √2

D) 2

6 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±6

B) -1;-6

C) -1;6

D) ±;±6

7 / 30

Tengsizlik nechta butun yechimga ega?

A) 4

B) 3

C) cheksiz ko’p

D) 1

8 / 30

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

A) (2;∞)

B) (-∞;0)v(2;∞)

C) (-∞;0])v[2;∞)

D) (0,2)

9 / 30

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

A) 2√2

B) √2

C) 4

D) 2

10 / 30

Teng yonli trpetsiyaning asoslari 15 va 25 ga balandligi esa 15 ga teng trapetsiyaning dioganalini toping

A) 28

B) 25

C) 30

D) 20

11 / 30

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

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

B) (-∞;-6]v{2}v[12;∞)

C) [2;4]v{2}v[3;∞)

D) [1;6]

12 / 30

Sin9x =4sin3x tenglamani yeching

A) πn, n€Ζ

B) π/3+πn, n€Ζ

C) πn/3, n€Ζ

D) π/2+πn, n€Ζ

13 / 30

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

A) 1

B) 3

C) 4

D) 2

14 / 30

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

A) 18

B) 60

C) 120

D) 47

15 / 30

A) 0

B) 2

C) √6

D) 1

16 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 4

B) 2

C) 3,5

D) 3

17 / 30

Bankda qo`yilgan pul bir yildan kegin foydasi bilan 2600 so`m bo`ldi; Agar bank yillik 30% foyda to`lasa, boshida qancha pul qo`yilgan bo`ladi ?

A) 1900

B) 2000

C) 2100

D) 2200

18 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]

B) 1; 10

C) (-∞;1]v[10;∞)

D) [10;∞)

19 / 30

bo’lsa ni toping. Bunda funksiya f(x) ga teskari funksiya.

A) -4

B) -12

C) -14

D) -10

20 / 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) πa²/4sin²α

B) πa²(1-2sinα/4sin²)

C) πa²/4cos²α

D) πa²(1+2cosα/4sin²)

21 / 30

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

A) √46

B) 11

C) 10

D) 12

22 / 30

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

A) a≠12

B) a≠5

C) a=12

D) a ning bunday qiymati yo’q

23 / 30

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

A) 48√3

B) 52√3

C) 108

D) 54

24 / 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) 135√3/4

C) 67,5√3

D) 67,5

25 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 2, 3

B) 3, 4

C) 1, 3

D) 1,4

26 / 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) 3π/2

B) 3π/4

C) 4π/3

D) 2π/3

27 / 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) to`g`ri burchakli uchburchak

B) muntazam uchburchak

C) teng yonli uchburchak

D) ixtiyoriy uchburchak

28 / 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) 2S

C) 4S

D) 0,5S

29 / 30

Quyidagi 2x-y+3z=2018 va x+5y+z=2019 tekisliklarning holatini aniqlang.

A) o’zaro perpendikulyar

B) ayqash

C) aniqlab bo’lmaydi

D) o’zaro parallel

30 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.