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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

207 Ko'rishlar 1 izoh

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Tomonidan yaratilgan InfoMaster

Matematika abituriyentlar uchun №1

1 / 30

Tengsizlik nechta butun yechimga ega?

A) 1

B) cheksiz ko’p

C) 3

D) 4

2 / 30

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

A) 32

B) 20

C) 24

D) 16

3 / 30

y= funktsiyaning aniqlanish sohasini toping.

A) (2;∞)

B) [2;∞)

C) (-∞;2)v(2;∞)

D) (-∞;2)

4 / 30

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

A) 0

B) 2019

C) 1

D) cheksiz ko’p

5 / 30

qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakatning 200- metrida qanday tezlikka (m/s) erishadi?

A) 36

B) 38

C) 42

D) 32

6 / 30

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

A) √5/2

B) 1

C) √3/2

D) 1,5

7 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]v[10;∞)

B) (-∞;1]

C) [10;∞)

D) 1; 10

8 / 30

Tengsizlikni yeching.

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

B) (-3;2)

C) (2;4)

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

9 / 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) 6

D) 8

10 / 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) ixtiyoriy uchburchak

B) teng yonli uchburchak

C) to`g`ri burchakli uchburchak

D) muntazam uchburchak

11 / 30

Muntazam uchburchakli piramidaning yon qirrasi asos tekisligi bilan 45^o li burchak tashkil etgan bo‘lsa, u holda piramidaning yon sirti yuzining uning asosi yuziga nisbatini toping.

A) 4

B) 3√3

C) 2√3

D) 2√5

12 / 30

tenglamalar sistemasini yeching

A) (–4;3)

B) (3;–4)

C) (4;–3)

D) (4;3)

13 / 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) 12

C) 25

D) 30

14 / 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) (5√3+3)π/3

C) 64√2π/3

D) 8√2π/5

15 / 30

sistemada xy ning qiymatini toping.

A) 60

B) 64

C) 75

D) 80

16 / 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) 48

B) 108

C) 52

D) 54

17 / 30

a ning qanday qiymatlarida ushbu 7x-a-13=(a-5)(x+7) tenglama yagona yechimga ega

A) a=12

B) a ning bunday qiymati yo’q

C) a≠12

D) a≠5

18 / 30

sonning oxirgi raqamini toping.

A) 8

B) 6

C) 2

D) 4

19 / 30

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

A) [2;4]v{2}v[3;∞)

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

C) [1;6]

D) (-∞;-6]v{2}v[12;∞)

20 / 30

Agar f(x)=ax³-5x²+b va bo’lsa, a ni toping.

A) 2

B) 3

C) 0

D) 1

21 / 30

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

A) 10/27

B) -10/27

C) -10/3

D) 10/3

22 / 30

Ushbu arifmetik progressiyaning manfiy hadlari yig’indisini toping.

A) -1

B) -0,5

C) -0,25

D) -0,75

23 / 30

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

A) 6

B) 4

C) 8

D) 12

24 / 30

tenglamalar sistemasini yeching

A) (4;–4)

B) (4;4)

C) (-4;-4)

D) (-4;4)

25 / 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) (4; -3)

C) (-7; 1)

D) (-7;-1)

26 / 30

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

A) 47

B) 60

C) 18

D) 120

27 / 30

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

A) 113°

B) 112,5°

C) 100°

D) 113,5°

28 / 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) 60°

B) 90°

C) 30°

D) 72°

29 / 30

y=cos(2sinx) funksiyaning qiymatlar sohasini toping.

A) [-1;1]

B) [0;cos2]

C) [cos2;1]

D) [0;1]

30 / 30

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