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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 7

B) 6

C) 10

D) 8

2 / 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

3 / 30

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

A) o’zaro perpendikulyar

B) ayqash to’gri chiziqlar

C) o’zaro parallel

D) o’zaro kesishadi

4 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]

B) [10;∞)

C) 1; 10

D) (-∞;1]v[10;∞)

5 / 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) 4S

B) 0,5S

C) 3S

D) 2S

6 / 30

sistemadan x+y+z ning qiymatini toping.

A) -139/41

B) 139/41

C) 140/41

D) 150/41

7 / 30

Agar f(x)=4x³-6x²-2x+3^x ^.log₃e bo’lsa, u holda ni toping.

A) √2e

B) e

C) 3e

D) 1

8 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 3

B) 3,5

C) 4

D) 2

9 / 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

10 / 30

Agar bank qo’yilgan pulga 40% yillik bersa, qo’yilgan 4500 so’m pul bir yildan so’ng qancha bo’ladi?

A) 6300

B) 6000

C) 6100

D) 6200

11 / 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) 10

B) 4

C) 6

D) 5

12 / 30

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

A) 5

B) 7

C) 3

D) 4

13 / 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) bunday to’gri to’rtburchak mavjud emas

B) 2

C) √7

D) √37

14 / 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) 25

B) 30

C) 32

D) 36

15 / 30

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

A) 3

B) 1

C) 2

D) 4

16 / 30

Tengsizlikni yeching.

A) to'g'ri javob yo'q

B) (0;+∞)

C) (-1/³ √2 ;0)

D) 0

17 / 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

18 / 30

sistema yagona yechimga ega bo’ladigan a ning barcha qiymatlari to’plamini toping.

A) {2;4}

B) {-1;3}

C) {1;2}

D) {-1;2}

19 / 30

A) 2

B) 1

C) √6

D) 0

20 / 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) 3√3+1/5

B) 2√2/3

C) 3√2+2/4

D) 5√3+3/3

21 / 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) 12

C) 15

D) 30

22 / 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) πa²/4cos²α

B) πa²(1-2sinα/4sin²)

C) πa²(1+2cosα/4sin²)

D) πa²/4sin²α

23 / 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) 2100

C) 2200

D) 2000

24 / 30

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

A) 10/3

B) -10/3

C) -10/27

D) 10/27

25 / 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) 6,25% ga kamayadi

D) o‘zgarmaydi

26 / 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) 4716

C) 4680

D) 4760

27 / 30

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