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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 30

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

A) -12

B) -14

C) -10

D) -4

2 / 30

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

A) [0;1]

B) [0;cos2]

C) [-1;1]

D) [cos2;1]

3 / 30

Ostki asosining yuzi 32π va ustki asosining yuzi 18π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning sirtini toping.

A) 96π

B) 56π

C) 100π

D) 72π

4 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) ±6

B) -1;6

C) -1;-6

D) ±;±6

5 / 30

Tengsizlik nechta butun yechimga ega?

A) 1

B) 4

C) 3

D) cheksiz ko’p

6 / 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) 64√2π/3

D) (5√3+3)π/3

7 / 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)

8 / 30

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

A) 4√3π

B) 12π

C) 2√3π

D) 3π

9 / 30

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

A) 2

B) 3

C) 1

D) 4

10 / 30

sistemadan x+y+z ning qiymatini toping.

A) -139/41

B) 139/41

C) 150/41

D) 140/41

11 / 30

Konsert zalining birinchi qatorida 40 ta o’rindiq bor. Har bir keyingi qatordagi o’rindiqlar soni oldingi qatordan 4 ga ko’p. Agar konsert zalida jami 40 ta qator bo’lsa, u holda shu zaldagi barcha o’rindiqlar sonini toping.

A) 4760

B) 4680

C) 4720

D) 4716

12 / 30

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

A) a=12

B) a≠5

C) a≠12

D) a ning bunday qiymati yo’q

13 / 30

tenglamalar sistemasini yeching

A) (4;–4)

B) (4;4)

C) (-4;4)

D) (-4;-4)

14 / 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) 50

C) 40

D) 54

15 / 30

Hisoblang

A) √3

B) 1/2

C) √3/2

D) 2

16 / 30

Ifodani soddalashtiring.

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

A) 0,5

B) 2

C) 1

D) 0

17 / 30

x(t)=t²+6t+5 qonuniyat bo’yicha harakatlanayotgan moddiy nuqta harakat boshlangandan necha sekund o’tgach boshlang’ich nuqtaga nisbatan 77 metr masofaga siljiydi?

A) 8

B) 7

C) 10

D) 6

18 / 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) 90°

B) 30°

C) 60°

D) 72°

19 / 30

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

A) 25

B) 28

C) 30

D) 20

20 / 30

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

A) 1/6

B) 1

C) 1,2

D) 1/2

21 / 30

(-3;4) nuqtaga absissa, ordinata o’qlariga va koordinata boshiga nisbatan simmetrik bo’lgan nuqtalarni tutashtirishdan hosil bo’lgan uchburchakning eng kata tomonini toping.

A) 14

B) 10

C) 12

D) 24

22 / 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) 52

C) 54

D) 108

23 / 30

tenglamani yeching.

A) 0

B) 2019

C) 2017

D) 2018

24 / 30

Radiusi 25 bo’lgan doirada 48 ga teng vatar o’tkazilgan. Doira markazidan shu vatargacha masofani toping.

A) 9

B) 8

C) 10

D) 7

25 / 30

Hisoblang

A) √3

B) 1

C) 3√3

D) 2√3

26 / 30

Qaysi javobda faqat juft funksiyalar ko’rsatilgan?

A) 2, 3

B) 1,4

C) 1, 3

D) 3, 4

27 / 30

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

A) (512-1/2⁻⁹)°

B) ⁴ᴷ⁺³√-√2k+1

C) ²ᴷ⁺⁴v2k+1/k²+1

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

28 / 30

Sin9x =4sin3x tenglamani yeching

A) π/3+πn, n€Ζ

B) πn/3, n€Ζ

C) π/2+πn, n€Ζ

D) πn, n€Ζ

29 / 30

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

A) 7

B) 4

C) 5

D) 3

30 / 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) 25

B) 30

C) 36

D) 32