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Matematika attestatsiya №4

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Yanvar 21, 2022

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1 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №4

1 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 4

B) 1

C) 3

D) 2

2 / 40

Muntazam oltiburchakning tomoni 2√6 ga teng. Shu ko‘pburchakka tengdosh bo‘lgan teng tomonli uchburchakning tomonini toping.

A) 12

B) 24

C) 30

D) 18

3 / 40

tengsizlikning barcha butun yechimlari yig‘indisining natural bo’luvchilari yig‘indisi topilsin.

A) 21

B) 32

C) 28

D) 24

4 / 40

|x+1|=2|x–2| tenglamaning ildizlari yig’indisini toping.

A) 7

B) 6

C) 5

D) 0

5 / 40

ni hisoblang.

A) (e-1)/2

B) (e+1)/2

C) e+1

D) e-1

6 / 40

Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 108

B) 96

C) 126

D) 114

7 / 40

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) 16

B) √6+√14

C) 2√14+√6

D) 18

8 / 40

Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) √3

B) 1

C) 2

D) √2

9 / 40

Ushbu sistemaga ko'ra (ac+bd)² ni toping.

A) 1

B) 4

C) 3

D) 2

10 / 40

Tengsizlikni yeching.

A) [-3;-2]

B) [-3;2]∪{1}

C) [-2;1]∪{-3}

D) (-∞;-2]

11 / 40

Soddalashtiring:

A) 1

B) 3

C) Aniqlab bo`lmaydi

D) 2

12 / 40

Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -3

B) -2

C) -1

D) 0

13 / 40

Standart shaklda yozing 0,000000000000013

1,3·10^-12
1,3·10^-13
1,3·10^-14
1,3·10^-15

A) 4

B) 2

C) 1

D) 3

14 / 40

Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 64/5

B) 16

C) 10

D) 48/5

15 / 40

Quyidagi rasmda konus va silindr zaytun moyi bilanto`ldirilmoqda . Ikkala shaklning balandliklari va taglik doiralarining radiuslari teng uzunlikda 2sm . Shunga ko`ra idishga jami necha ?m³

A) 11π

B) (32π)/3

C) (28π)/3

D) (29π)/3

16 / 40

ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 56/65

B) 48/65

C) 36/65

D) 40/63

17 / 40

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

A) 3

B) 1

C) 4

D) 2

18 / 40

tenglama intervalda nechta ildizga ega?

A) 2

B) 3

C) 1

D) 4

19 / 40

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

A) 8

B) 9

C) 6

D) 10

20 / 40

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

A) 4800

B) 3600

C) 5050

D) 600

21 / 40

ni hisoblang.

A) 0

B) 1

C) 2

D) 3

22 / 40

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

A) 41

B) 25

C) 50

D) 32

23 / 40

Yig‘indini toping.

A) 1/12

B) 1/4

C) 1/6

D) 1/9

24 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 80

B) 120

C) 100

D) 90

25 / 40

1, 1, 2, 3, 5, 8, 13, … ketma-ketlikning umumiy hadi an bo‘lsa, quyidagilardan qaysi biri to‘g‘ri?

A) 3

B) 1

C) 4

D) 2

26 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 8

B) 1

C) 0

D) 5

27 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 35

B) 25

C) 40

D) 20

28 / 40

Hisoblang:

A) 6

B) 0

C) 4

D) 8

29 / 40

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

A) 1/3

B) 8/15

C) 5/6

D) 1/2

30 / 40

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

A) 138°

B) 135°

C) 142°

D) 132°

31 / 40

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

A) 0,432

B) 0,216

C) 0,288

D) 0,144

32 / 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) √3R(2-√3)

B) 1,5R

C) 3R

D) R(√3-√2)

33 / 40

x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 64

B) 48

C) 16

D) 32

34 / 40

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

A) -√17

B) -4

C) √17

D) 4

35 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 5

B) 4

C) 2

D) 6

36 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) 1/8

B) √3/4

C) √3/8

D) √2/8

37 / 40

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

A) 4

B) 2

C) 1

D) 5

38 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 52

B) 48

C) 40

D) 28

39 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 2

B) 4

C) 1

D) 3

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) 17°

C) 14°

D) 7°