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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) 4

B) 6

C) 5

D) 3

2 / 30

a ning 7x-a-13=(a-5)(x+7) tenglama yechimga ega bo’lmaydigan qiymatining natural bo’luvchilar sonini toping.

A) 12

B) 6

C) 8

D) 4

3 / 30

“Tutgan balig‘ining og‘irligi qancha?” degan savolga baliqchi: “Baliqning dumi 3 kg, boshi uning dumi hamda tanasi yarmining og‘irligiga teng, tanasi esa boshi va dumining og‘irligiga teng”, deb javob berdi. Baliqning og‘irligini (kg) toping.

A) 6

B) 18

C) 3

D) 12

4 / 30

Rombning yuzi 96 ga, dioganallaridan biri 16 ga teng. Romb tomonini toping.

A) 9

B) 10

C) 11

D) 12

5 / 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) πa²/4sin²α

B) πa²(1-2sinα/4sin²)

C) πa²(1+2cosα/4sin²)

D) πa²/4cos²α

6 / 30

Ifodani soddalashtiring.

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

A) 0

B) 2

C) 1

D) 0,5

7 / 30

Radiuslari orasidagi burchagi 36^o va radiusi 5 ga teng bo`lgan sektor yoyining uzunligini toping.

A) 2π/3

B) π

C) 2π

D) π/2

8 / 30

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

A) 2

B) 3

C) 1

D) 4

9 / 30

Parallelogrammning tomonlari nisbati 3:5 kabi. Agar parallelogrmmning perimetri 48 ga burchaklaridan biri 120⁰ ga teng bo’lsa, uning yuzini toping.

A) 67,5√3

B) 135√3/4

C) 48√3

D) 67,5

10 / 30

Agar va b-a=4 bo’lsa, a+b ni toping.

A) 2

B) 4

C) 3,5

D) 3

11 / 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°

12 / 30

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

A) -14

B) -4

C) -10

D) -12

13 / 30

tenglamani yeching.

A) 2018

B) 0

C) 2017

D) 2019

14 / 30

integralning qiymatini toping.

A) π/4

B) π/2

C) -π/2

D) 0

15 / 30

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

A) 1/6

B) 1,2

C) 1/2

D) 1

16 / 30

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

A) (-∞;0)v(2;∞)

B) (2;∞)

C) (0,2)

D) (-∞;0])v[2;∞)

17 / 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) (4; -3)

D) (-7; 1)

18 / 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) 374389

B) 412967

C) aniqlab bo’lmaydi

D) 2

19 / 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) 52

B) 48

C) 54

D) 108

20 / 30

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

A) o’zaro perpendikulyar

B) o’zaro parallel

C) aniqlab bo’lmaydi

D) ayqash

21 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) bunday funksiya mavjud emas

B) juft funksiya

C) toq funksiya

D) juft ham emas, toq ham emas funksiya

22 / 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) 375

B) 400

C) 127

D) 100

23 / 30

Tengsizlikni yeching.

A) (0;+∞)

B) (-1/³ √2 ;0)

C) to'g'ri javob yo'q

D) 0

24 / 30

Tengsizlik nechta butun yechimga ega?

A) 1

B) cheksiz ko’p

C) 3

D) 4

25 / 30

Soddalashtiring.

A) a+1

B) 2019

C) 2018a/a+1

D) 2018

26 / 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) 2√2/3

B) 3√2+2/4

C) 3√3+1/5

D) 5√3+3/3

27 / 30

Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

A) 100°

B) 112,5°

C) 113,5°

D) 113°

28 / 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) 5

C) 10

D) 4

29 / 30

bo’lsa, ni x orqali ifodalang.