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Matematika attestatsiya №4

InfoMaster

Yanvar 21, 2022

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Matematika fanidan attestatsiya savollari №4

1 / 40

bo‘lsa, y = ?

A) 2

B) 8

C) 3

D) 26

2 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 4

B) 3

C) 1

D) 2

3 / 40

$y^4+9x^2-4y^2-30x+29=0$ tenglikni qanoatlantiruvchi x va y sonlari uchun 19y²+99x ni toping.

A) 289

B) 201

C) 203

D) 200

4 / 40

Quyidagi javoblardan qaysi biri tengsizlikni yechimi bo'la oladi?

A) 4

B) 2

C) 3

D) 1

5 / 40

Berilgan sonlarning yig’indisini toping.

A) 3/18

B) -452/18

C) 1/4

D) 2/4

6 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5+5

B) √5

C) 2√5

D) 5

7 / 40

Tengsizlikni yeching.

A) [-3;-2]

B) (-∞;-2]

C) [-3;2]∪{1}

D) [-2;1]∪{-3}

8 / 40

x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 48

B) 27

C) 26

D) 32

9 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 7,5

B) 3

C) 4,5

D) 4

10 / 40

2013²⁰¹⁵ ni 10 ga bo'lgandagi qoldiqni toping.

A) 9

B) 1

C) 7

D) 3

11 / 40

Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 3

B) 6

C) 4

D) 5

12 / 40

Soddalashtiring.

A) (b+2)/(1-b)

B) (a-1)/(1-b)

C) (a-1)/(a-3)

D) (a+1)/(-a-3)

13 / 40

DC||AB , ∠DCE=45°,∠CEA=x va ∠EAB=115° ga tengbo`lsa x ni toping ?

A) 130°

B) 110°

C) 100°

D) 120°

14 / 40

Hisoblang?

A) 2

B) 4

C) 0,25

D) 0,5

15 / 40

Hisoblang:

A) 1

B) 3

C) 4

D) 2

16 / 40

Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) -4

B) √17

C) -√17

D) 4

17 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 6

B) 10

C) 8

D) berilganlar yetarli emas

18 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 5

B) 2

C) 1

D) 4

19 / 40

Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,216

B) 0,144

C) 0,432

D) 0,288

20 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 135°

B) 142°

C) 138°

D) 132°

21 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/4

B) √3/8

C) 1/8

D) √2/8

22 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 4

B) 2

C) 3

D) 1

23 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 4800

B) 3600

C) 600

D) 5050

24 / 40

Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 50

B) 32

C) 25

D) 41

25 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) 1,5R

B) 3R

C) R(√3-√2)

D) √3R(2-√3)

26 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 6√5

B) 8√3

C) 9√5

D) 12√3

27 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 30

B) 0

C) 25

D) 10

28 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) qat’iy o‘suvchi

B) dastlab o‘sadi, keyin kamayadi

C) dastlab kamayadi, keyin o‘sadi

D) qat’iy kamayuvchi

29 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 72π

B) 192π

C) 144π

D) 96π

30 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 2

B) 6

C) 4

D) 5

31 / 40

Funksiyaning aniqlanish sohasini toping.

A) x∈R

B) (-∞;3]∪[2;∞)

C) [-3;2]

D) (-∞;0)∪(0;∞)

32 / 40

108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 3

B) 4

C) 2

D) 1

33 / 40

Integralni hisoblang:

A) 1

B) 3

C) 4

D) 2

34 / 40

x²-n≤0 tengsizlik o‘rinli bo‘ladigan x ning 7 ta butun ildizi bor bo‘lsa. n nechta turli butun qiymat qabul qiladi?

A) 7

B) 9

C) 15

D) 12

35 / 40

Agar bo‘lsa, m/n ni toping.

A) 4

B) 3

C) (1+√5)/2

D) 2

36 / 40

Hisoblang:

A) 6

B) 8

C) 4

D) 0

37 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.

A) 10

B) 9

C) 8

D) 6

38 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 0

B) 9

C) 5

D) 1

39 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 1/2

B) 1/3

C) 5/6

D) 8/15

40 / 40

To‘g‘ri burchakli uchburchakning bir burchagi 52° ga teng bo‘lsa, to‘g‘ri burchak uchidan tushirilgan balandlik va mediana orasidagi burchakni toping.

A) 24°

B) 14°

C) 7°

D) 17°