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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

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

B) (512-1/2⁻⁹)°

C) ⁴ᴷ⁺³√-√2k+1

D) ²ᴷ⁺⁴v2k+1/k²+1

2 / 30

sistemadan x+y+z ning qiymatini toping.

A) 150/41

B) 140/41

C) -139/41

D) 139/41

3 / 30

A) 2

B) √6

C) 1

D) 0

4 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,75

B) -0,25

C) -0,5

D) -1

5 / 30

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

A) [2;4]v{2}v[3;∞)

B) [1;6]

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

D) (-∞;-6]v{2}v[12;∞)

6 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 1, 3

B) 1,4

C) 3, 4

D) 2, 3

7 / 30

Fazoda (1;2;3) nuqtalardan o’tuvchi to’g’ri chiziq tenglamasini tuzing.

A) x=y/3=z/2

B) -x-y+z=0

C) 2x+3y+z=0

D) x-1/2=y-2/3=z-3/4

8 / 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) 6

B) 4

C) 5

D) 10

9 / 30

Ifodani soddalashtiring.

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

A) 1

B) 0

C) 2

D) 0,5

10 / 30

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

A) 16

B) 20

C) 24

D) 32

11 / 30

Tengsizlikni yeching.

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

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

C) (-3;2)

D) (2;4)

12 / 30

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

A) o’zaro parallel

B) o’zaro perpendikulyar

C) aniqlab bo’lmaydi

D) ayqash

13 / 30

Hisoblang

A) 2

B) 1/2

C) √3/2

D) √3

14 / 30

sistemadan x+y ning qiymatini toping.

A) 12

B) 35/4

C) 6

D) -12

15 / 30

Agar f(x)=sin2x va g(x)=cos2x bo’lsa, u holda f(g(x)) funksiyaning hosilasini toping.

A) -4sin2x*cos(2cos2x)

B) 4sin2x*cos(2cos2x)

C) -4sin2x*cos(cos2x)

D) 4sin2x*cos(cos2x)

16 / 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

17 / 30

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

A) (-∞;6)

B) (-∞;6])v[6;∞)

C) (2;∞)

D) 6

18 / 30

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

A) 4

B) 3

C) 5

D) 7

19 / 30

bo’lsa, ni x orqali ifodalang.

A) 2/x

B) x/25

C) 25/x

D) 2-x

20 / 30

Tengsizlik nechta butun yechimga ega?

A) 1

B) 4

C) cheksiz ko’p

D) 3

21 / 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

B) 1/√2

C) 0,5

D) 1/√3

22 / 30

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

A) 2019

B) cheksiz ko’p

C) 0

D) 1

23 / 30

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

A) 30

B) 25

C) 20

D) 28

24 / 30

a=sin 1; b=sin 2; c=sin 3; d=sin 4 va e=sin 5 sonlarni kamayish tartibida joylashtiring.

A) a>b>c>d>e

B) b>c>a>d>e

C) e>b>a>d>c

D) b>a>c>d>e

25 / 30

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

A) 18

B) 47

C) 60

D) 120

26 / 30

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

A) 22222222220

B) 222220175

C) 222222222222

D) 2222222175

27 / 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) 2,5% ga ortadi

C) 6,25% ga ortadi

D) 6,25% ga kamayadi

28 / 30

x(t)=t²+7t-6 qonuniyat bo’yicha harakatlanayotgan moddiy nuqtaning tezligi harakat boshlangandan necha sekund o’tgach 87 m/s ga teng bo’ladi?

A) 36

B) 54

C) 50

D) 40

29 / 30

Bir vaqtning o’zida 9,13, . . . ,405 va 15,21, . . . ,255 ketma–ketliklarning hadlari bo’lgan sonlarning eng kattasi va eng kichigining ayirmasini toping

A) 147

B) 231

C) 228

D) 150

30 / 30

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