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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

m ning qanday eng katta butun qiymatida y=2x-mx-5+m funksiyaning grafigi 1,3,4 –choraklarda yotadi?

A) 3

B) 1

C) 5

D) 2

2 / 30

Tengsizlikni yeching.

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

B) (2;4)

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

D) (-3;2)

3 / 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√2+2/4

B) 3√3+1/5

C) 5√3+3/3

D) 2√2/3

4 / 30

Rasmda ko‘rsatilgan ko‘pyoqlardan qaysi birida 4 ta yoq, 6 ta qirra bor?

A) 1, 3

B) 1, 2

C) 3

D) 2

5 / 30

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

A) 12

B) 11

C) 10

D) 9

6 / 30

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

A) 16

B) 8√5

C) 32

D) 24√5

7 / 30

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

A) {-1;3}

B) {1;2}

C) {2;4}

D) {-1;2}

8 / 30

sistemadan x+y+z ning qiymatini toping.

A) 139/41

B) 150/41

C) 140/41

D) -139/41

9 / 30

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

A) abc

B) 1

C) ab

D) ab/c

10 / 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(1-2sinα/4sin²)

B) πa²(1+2cosα/4sin²)

C) πa²/4cos²α

D) πa²/4sin²α

11 / 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

12 / 30

Hisoblang:

A) -1

B) 1

C) 2

D) 3

13 / 30

A) 1

B) 3

C) 2

D) 5

14 / 30

funktsiyaning aniqlanish sohasini toping.

A) (-∞;1)v(2;∞)

B) (1;2)

C) [1;2]

D) (-∞;1]v[2;∞)

15 / 30

tenglamalar sistemasini yeching

A) (-4;4)

B) (-4;-4)

C) (4;4)

D) (4;–4)

16 / 30

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

A) 18

B) 120

C) 60

D) 47

17 / 30

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

A) 4

B) 6

C) 5

D) 8

18 / 30

Ifodani soddalashtiring.

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

A) 1

B) 0

C) 2

D) 0,5

19 / 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) 3

B) √32

C) √37

D) 6

20 / 30

a(x+2)=2x+1 tenglama a ning qanday qiymatida yechimga ega emas?

A) (∞;∞)

B) (-∞;2)v(2;∞)

C) (2;∞)

D) (-∞;2)

21 / 30

Hisoblang

A) 1/2

B) √3/2

C) √3

D) 2

22 / 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) 0,5

B) 1

C) 1/√3

D) 1/√2

23 / 30

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

A) 16

B) 17

C) 18

D) 14

24 / 30

Tomoni 12 ga teng bo`lgan teng tomonli uchburchakga ichki chizilgan aylana uzunligini toping.

A) 4√3π

B) 2√3π

C) 3π

D) 12π

25 / 30

Ostki asosining yuzi 16π ga va ustki asosining yuzi 4π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning hajmini toping.

A) 3√2π/4

B) 8√2π/5

C) (5√3+3)π/3

D) 64√2π/3

26 / 30

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

A) 1/2

B) 1,2

C) 1

D) 1/6

27 / 30

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

A) -10/3

B) 10/3

C) -10/27

D) 10/27

28 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -0,25

B) -1

C) -0,75

D) -0,5

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) 12

B) 15

C) 30

D) 25

30 / 30

Hisoblang