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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

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

B) 2x+3y+z=0

C) -x-y+z=0

D) x=y/3=z/2

2 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 3, 4

B) 1,4

C) 1, 3

D) 2, 3

3 / 30

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

A) 6,25% ga ortadi

B) 2,5% ga ortadi

C) o‘zgarmaydi

D) 6,25% ga kamayadi

4 / 30

Radiusi 1 ga teng aylana uchta yoyga bo`lingan. Ularga mos markaziy burchaklar 1, 2 va 6 sonlariga proporsional. Yoylardan eng kattasining uzunligini toping.

A) 4π/3

B) 3π/2

C) 2π/3

D) 3π/4

5 / 30

Hisoblang.

A) 2/34

B) 17/34

C) 15/34

D) 2/17

6 / 30

tenglamani yeching.

A) 0

B) 2019

C) 2018

D) 2017

7 / 30

Agar arctga+ arctgb + arctgc= bo’lsa, a+b+c ni toping.

A) abc

B) 1

C) ab

D) ab/c

8 / 30

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

A) 22222222220

B) 2222222175

C) 222222222222

D) 222220175

9 / 30

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

A) 3

B) 4

C) 5

D) 7

10 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,75

B) -1

C) -0,25

D) -0,5

11 / 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) to`g`ri burchakli uchburchak

B) teng yonli uchburchak

C) muntazam uchburchak

D) ixtiyoriy uchburchak

12 / 30

Agar funksiya berilgan bo’lsa, u holda M=ning qiymatini toping.

A) e⁻⁴⁹⁵⁰

B) e⁵⁰⁵⁰

C) e⁴⁹⁵⁰

D) e⁻⁵⁰⁵⁰

13 / 30

tenglamalar sistemasini yeching

A) (4;–4)

B) (4;4)

C) (-4;4)

D) (-4;-4)

14 / 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) √32

B) √37

C) 6

D) 3

15 / 30

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

A) 3

B) 4

C) 1

D) 2

16 / 30

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

A) 14

B) 16

C) 17

D) 18

17 / 30

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

A) 10

B) 6

C) 9

D) 7

18 / 30

Hisoblang

A) √3

B) 1/2

C) 2

D) √3/2

19 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) juft funksiya

B) toq funksiya

C) juft ham emas, toq ham emas funksiya

D) bunday funksiya mavjud emas

20 / 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) aniqlab bo’lmaydi

B) 374389

C) 412967

D) 2

21 / 30

Uchburchakning balandligi 12 ga teng bo’lib, u asosni 5:16 nidbatda bo’ladi. Agar asosning uzunligi 21 ga teng bo’lsa, uchburchakning perimetrini toping

A) 54

B) 48

C) 108

D) 52

22 / 30

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

A) -4sin2x*cos(cos2x)

B) -4sin2x*cos(2cos2x)

C) 4sin2x*cos(2cos2x)

D) 4sin2x*cos(cos2x)

23 / 30

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

A) 0

B) cheksiz ko’p

C) 1

D) 2019

24 / 30

Soddalashtiring. (0<m<7)

A) 7-2m

B) 7

C) m

D) 2m-7

25 / 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) 30

B) 36

C) 25

D) 32

26 / 30

Bekzodda 50 so’m va Sobirda 70 so’m pul bor edi. Anvar Bekzodga o’z pulining 10 foizini bergandan so’ng, Bekzod Sobirga pulining yarmini berdi. So’ng Sobir Anvarga pulining 10 foizini berdi. Anvar o’zidagi pullarini hisoblab, pullari dastlabki holdagi puli bilan teng ekanligini bildi. Anvarda qancha pul bo’lgan?

A) 100

B) 127

C) 400

D) 375

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) πa²/4sin²α

C) πa²/4cos²α

D) πa²(1-2sinα/4sin²)

28 / 30

A(2;-2,5) nuqtadan y= - 4x parabolagacha bo’lgan eng qisqa masofani toping.

A) √3/2

B) 1

C) √5/2

D) 1,5

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) 6

C) 10

D) 5

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) 1/2

D) 1/6