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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

Tenglamani yeching. (x+2)+(x+4)+(x+6)+…+(x+100)=2800

A) 5

B) 3

C) 4

D) 7

2 / 30

Hisoblang

A) 1

B) 2

C) -1

D) 0

3 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 1,4

B) 1, 3

C) 2, 3

D) 3, 4

4 / 30

integralning qiymatini toping.

A) π/2

B) 0

C) -π/2

D) π/4

5 / 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) teng yonli uchburchak

B) to`g`ri burchakli uchburchak

C) muntazam uchburchak

D) ixtiyoriy uchburchak

6 / 30

Quyidagilardan qaysi biri barcha lar uchun ma’noga ega (aniqlangan)?

A) 4k+1/1/8:7-1/56

B) ²ᴷ⁺⁴v2k+1/k²+1

C) (512-1/2⁻⁹)°

D) ⁴ᴷ⁺³√-√2k+1

7 / 30

Hisoblang:

A) 2

B) -1

C) 3

D) 1

8 / 30

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

A) 38

B) 32

C) 36

D) 42

9 / 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

10 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;6

B) ±;±6

C) ±6

D) -1;-6

11 / 30

sistemadan x+y ning qiymatini toping.

A) 6

B) 35/4

C) -12

D) 12

12 / 30

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

A) 3

B) 1, 3

C) 1, 2

D) 2

13 / 30

Tengsizlik nechta butun yechimga ega?

A) 3

B) cheksiz ko’p

C) 1

D) 4

14 / 30

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

A) o’zaro perpendikulyar

B) o’zaro kesishadi

C) o’zaro parallel

D) ayqash to’gri chiziqlar

15 / 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√2+2/4

D) 3√3+1/5

16 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

A) cheksiz ko’p

B) 1

C) 0

D) 2019

17 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) 1; 10

B) [10;∞)

C) (-∞;1]v[10;∞)

D) (-∞;1]

18 / 30

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

A) (-∞;-6]v{2}v[12;∞)

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

C) [1;6]

D) [2;4]v{2}v[3;∞)

19 / 30

To’g’ri to’rtburchakning perimetri 50 ga teng. Bir tomoni boshqa tomonidan 5 ga ko’p. To’g’ri to’rtburchakning yuzini toping.

A) 60

B) 150

C) 50

D) 225

20 / 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) 12

C) 14

D) 24

21 / 30

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

A) 4

B) 6

C) 8

D) 5

22 / 30

Ushbu funksiyaning boshlang’ich funksiyasini toping.

A) ln(|x+4+|x-1|)+c

B) ln(|x+4*|x-1|)+c

C) ln|x-1/x+4|+c

D) ln|x+4/x-1|+c

23 / 30

tenglamalar sistemasini yeching

A) (4;–3)

B) (3;–4)

C) (–4;3)

D) (4;3)

24 / 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

25 / 30

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

A) 16

B) 18

C) 17

D) 14

26 / 30

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

A) 11

B) √46

C) 10

D) 12

27 / 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

28 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 6900

B) 7200

C) 6200

D) 7000

29 / 30

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