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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Tomonidan yaratilgan InfoMaster

Matematika abituriyentlar uchun №1

1 / 30

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

A) 3

B) 5

C) 7

D) 4

2 / 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 uchburchakning perimetri 48 va aylana radiusi 7 ga teng bo‘lsa, u holda kesma uzunligini toping

A) 25

B) 30

C) 15

D) 12

3 / 30

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

A) o’zaro parallel

B) ayqash

C) o’zaro perpendikulyar

D) aniqlab bo’lmaydi

4 / 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) 6,25% ga ortadi

C) o‘zgarmaydi

D) 6,25% ga kamayadi

5 / 30

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

A) 2

B) 1

C) √3

D) √2

6 / 30

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

A) (-∞;2)

B) (-∞;2)v(2;∞)

C) (2;∞)

D) (∞;∞)

7 / 30

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

A) 10

B) 7

C) 9

D) 8

8 / 30

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

A) 10/27

B) -10/27

C) -10/3

D) 10/3

9 / 30

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

A) 36

B) 38

C) 32

D) 42

10 / 30

Teng yonli uchburchakning tomonlari 5, 5 va 6 ga teng. Bu uchburchakning bissektiritsalari va medianalari kesishgan nuqtalar

A) 1,2

B) 1/6

C) 1/2

D) 1

11 / 30

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

A) 6

B) 7

C) 9

D) 10

12 / 30

integralning qiymatini toping.

A) π/4

B) 0

C) π/2

D) -π/2

13 / 30

Sin9x =4sin3x tenglamani yeching

A) πn/3, n€Ζ

B) π/3+πn, n€Ζ

C) π/2+πn, n€Ζ

D) πn, n€Ζ

14 / 30

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

A) (2;∞)

B) (-∞;0])v[2;∞)

C) (-∞;0)v(2;∞)

D) (0,2)

15 / 30

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

A) 222222222222

B) 22222222220

C) 222220175

D) 2222222175

16 / 30

To’rtburchakning uchi M (0, 4) ; N(-4,0) ; P(-3;2) uchlari berilgan. Agar bo’lsa, Q uchining koordinatalarini toping.

A) (7; 1)

B) (-7;-1)

C) (-7; 1)

D) (4; -3)

17 / 30

Bog’bon uch kun davomida o’nta daraxt ko’chati o’tqazishi lozim. Agar bog’bon bir kunda eng kamida bitta ko’chat o’tqazadigan bo’lsa, u shu ishni kunlar bo’yicha necha xil usul bilan taqsimlashi mumkin?

A) 36

B) 30

C) 25

D) 32

18 / 30

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

A) 5

B) 6

C) 7

D) 4

19 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 4

B) 5

C) 6

D) 3

20 / 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) 67,5

D) 135√3/4

21 / 30

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

A) 1, 2

B) 1, 3

C) 2

D) 3

22 / 30

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

A) 8

B) 6

C) 4

D) 5

23 / 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

24 / 30

Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusiga teng bo’lgan uchburchak qanday uchburchak deyiladi?

A) to’gri burchakli uchburchak

B) o’tkir burchakli uchburchak

C) teng tomonli uchburchak

D) o’tmas burchakli uchburchak

25 / 30

Tenglamaning nechta ildizi bor? |x+1|=|2x-1|

A) 1

B) 2

C) 4

D) 3

26 / 30

7 sonini uchta natural sonlar yig’indisi ko’rinishida necha xil usulda yozish mumkin?

A) 5

B) 4

C) 3

D) 6

27 / 30

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

A) 108

B) 52√3

C) 48√3

D) 54

28 / 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) 72°

B) 60°

C) 90°

D) 30°

29 / 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) 4

B) 5

C) 6

D) 10

30 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?