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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 2019

B) 1

C) 0

D) cheksiz ko’p

2 / 30

sistemadan x+y ning qiymatini toping.

A) 6

B) -12

C) 12

D) 35/4

3 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;6

B) -1;-6

C) ±6

D) ±;±6

4 / 30

Ifodani soddalashtiring.

2 cos55^o.cos40^o.sin55^o+cos110^o.sin40^o

A) 1

B) 2

C) 0,5

D) 0

5 / 30

Ifodani soddalashtiring. [ln(ln x)-ln(log_e10)]^.log₁₀e

A) lg(ln x)

B) ln(lg x)

C) ln(ln x)

D) lg(lg x)

6 / 30

sonning oxirgi raqamini toping.

A) 4

B) 6

C) 8

D) 2

7 / 30

Hisoblang:

A) 2

B) -1

C) 3

D) 1

8 / 30

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

A) 4

B) 5

C) 8

D) 6

9 / 30

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

A) -14

B) -12

C) -10

D) -4

10 / 30

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

A) 7

B) 10

C) 8

D) 9

11 / 30

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

A) 2

B) 4

C) 1

D) 3

12 / 30

Anvar tub son o’yladi va o’ylagan sonini 5 ga ko’paytirib, 8 ni ayirgan edi, yana tub son hosil bo’ldi. Anvar qanday son o’ylagan?

A) 2

B) 412967

C) 374389

D) aniqlab bo’lmaydi

13 / 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) 4680

B) 4716

C) 4760

D) 4720

14 / 30

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

A) 4

B) 3

C) 2

D) 1

15 / 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) 10

B) 7

C) 6

D) 8

16 / 30

ABC muntazam uchburchak ichidan ixtiyoriy P nuqta olinib, undan BC, CA va AB tomonlarga mos ravishda PD, PE va PF perpendikulyarlar tushirilgan bo’lsa,ni toping.

A) 1/√3

B) 1/√2

C) 0,5

D) 1

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) 2200

B) 2100

C) 1900

D) 2000

18 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 4

B) 3

C) 5

D) 6

19 / 30

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

A) o‘zgarmaydi

B) 6,25% ga ortadi

C) 2,5% ga ortadi

D) 6,25% ga kamayadi

20 / 30

Hisoblang

A) 0

B) 2

C) 1

D) -1

21 / 30

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

A) 11

B) 12

C) 10

D) √46

22 / 30

Sin9x =4sin3x tenglamani yeching

A) πn/3, n€Ζ

B) πn, n€Ζ

C) π/2+πn, n€Ζ

D) π/3+πn, n€Ζ

23 / 30

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

A) (0,2)

B) (-∞;0)v(2;∞)

C) (-∞;0])v[2;∞)

D) (2;∞)

24 / 30

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

A) 5

B) 4

C) 3

D) 7

25 / 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

26 / 30

Tomoni 25 ga diagonallaridan biri 4 ga teng bo’lgan rombning yuzini toping.

A) 24√5

B) 8√5

C) 32

D) 16

27 / 30

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

A) (2;∞)

B) 6

C) (-∞;6)

D) (-∞;6])v[6;∞)

28 / 30

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

A) 7

B) 10

C) 9

D) 6

29 / 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) 15

B) 25

C) 12

D) 30

30 / 30

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

A) 1

B) 1,2

C) 1/6

D) 1/2