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Matematika abituriyent testi №1

InfoMaster

Aprel 5, 2022

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Matematika abituriyentlar uchun №1

1 / 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) 30°

B) 72°

C) 60°

D) 90°

2 / 30

A) 2

B) 5

C) 1

D) 3

3 / 30

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

A) [-1;1]

B) [0;cos2]

C) [0;1]

D) [cos2;1]

4 / 30

integralning qiymatini toping.

A) π/2

B) -π/2

C) π/4

D) 0

5 / 30

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

A) 28

B) 25

C) 30

D) 20

6 / 30

Tengsizlikni yeching.

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

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

C) (-3;2)

D) (2;4)

7 / 30

Agar bank qo`yilgan pulga 40% yillik foyda bersa, qo`yilgan 5000 so`m pul bir yildan keyin qancha bo`ladi ?

A) 7000

B) 7200

C) 6200

D) 6900

8 / 30

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

A) 36

B) 38

C) 32

D) 42

9 / 30

A) 1

B) 0

C) √6

D) 2

10 / 30

tenglamalar sistemasini yeching

A) (4;–3)

B) (4;3)

C) (3;–4)

D) (–4;3)

11 / 30

Agar x,y sonlar (x+5)²+(y-12)²=14² tenglikni qanoatlantirsa, x²+y² ifodaning eng kichik qiymatini toping.

A) 2

B) √3

C) 1

D) √2

12 / 30

x²-5|x|-6=0 tenglama ildizini toping

A) -1;6

B) ±;±6

C) -1;-6

D) ±6

13 / 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) 100π

C) 72π

D) 56π

14 / 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) 36

B) 30

C) 25

D) 32

15 / 30

Tenglamani yeching.

|x²-11x+10|=x²-11x+10

A) (-∞;1]v[10;∞)

B) 1; 10

C) (-∞;1]

D) [10;∞)

16 / 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

17 / 30

funksiya uchun quyidagi mulohazalardan qaysi biri o’rinli?

A) bunday funksiya mavjud emas

B) juft funksiya

C) juft ham emas, toq ham emas funksiya

D) toq funksiya

18 / 30

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

A) 2

B) 1, 3

C) 1, 2

D) 3

19 / 30

Tengsizlik nechta butun yechimga ega?

A) 1

B) cheksiz ko’p

C) 3

D) 4

20 / 30

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

A) 2,5% ga ortadi

B) o‘zgarmaydi

C) 6,25% ga ortadi

D) 6,25% ga kamayadi

21 / 30

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

A) 32

B) 24√5

C) 16

D) 8√5

22 / 30

Tomoni 6 ga teng bo`lgan teng tomonli uchburchakga tashqi chizilgan doiraning yuzini toping.

A) 12π

B) 10 π

C) 7 π

D) 6 π

23 / 30

Soddalashtiring.

A) 2018

B) 2019

C) 2018a/a+1

D) a+1

24 / 30

To’g’ri burchakli uchburchakning yuzi 24 ga, katetlaridan biri 6 ga teng bo’lsa, gipotenuzasini toping

A) 10

B) 12

C) 11

D) √46

25 / 30

Tenglamaning ildizlari yig`indisini toping.

A) 4

B) 6

C) 3

D) 5

26 / 30

Agar geometrik progressiyaning ketma–ket dastlabki uchta hadining yig’indisi 62 ga, ularning o’nli logarifmlari yig’indisi 3 ga teng bo’lsa, shu geometrik progressiyaning birinchi hadini toping.

A) 50

B) 10 yoki 50

C) 10

D) 2 yoki 50

27 / 30

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

A) 4sin2x*cos(2cos2x)

B) -4sin2x*cos(cos2x)

C) -4sin2x*cos(2cos2x)

D) 4sin2x*cos(cos2x)

28 / 30

n ning qanday qiymatida ushbu

8^{1 .}8^{2 .}8^{3 .}…^.8ⁿ=512²² tenglik o’rinli bo’ladi?

A) 10

B) 14

C) 12

D) 11

29 / 30

Agar sinx+cosx=a bo’lsa, ning qiymatini toping.

A) 2/5

B) 1/2

C) -1/2

D) 1/3

30 / 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