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Matematika attestatsiya №4

InfoMaster

Yanvar 21, 2022

45 Ko'rishlar 1 izoh

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1 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №4

1 / 40

Quyidagi javoblardan qaysi biri tengsizlikni yechimi bo'la oladi?

A) 2

B) 3

C) 1

D) 4

2 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 1

B) 2

C) 3

D) 4

3 / 40

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

A) 24

B) 30

C) 18

D) 12

4 / 40

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 58

B) 59

C) 61

D) 60

5 / 40

Agar ni hisoblang.

A) Cheksiz

B) 8

C) 0

D) 9

6 / 40

Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 6

B) 5,75

C) 13

D) 9,25

7 / 40

Teng yonli trapetsiyaning diagonallari o'zaro perpendikulyar hamda yuzi 32 ga teng bo'lsa, uning diagonali uzunligini toping.

A) 4

B) 8

C) 2

D) 6

8 / 40

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

A) 3

B) 1

C) 4

D) 2

9 / 40

1·2·3· ... ·30 ko'paytmani tub ko'paytuvchilarga ajratganda ko'apytmada 2ⁿ, 3^m va 7^k lar ishtirok etsa, n+m+k ni toping.

A) 50

B) 44

C) 46

D) 40

10 / 40

Aniq integralni hisoblang:

A) 0,5

B) 2

C) 0

D) 3

11 / 40

Quyida berilgan shakillar ichidagi sonlar yig`indisi nolgateng bo`lishi uchun . Nechanchi shakilni olib tashlash kerak?

A) 4

B) 3

C) 2

D) 1

12 / 40

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

A) 48/5

B) 16

C) 64/5

D) 10

13 / 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) (29π)/3

B) 11π

C) (28π)/3

D) (32π)/3

14 / 40

Standart shaklda yozing 0,000000000000013

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

A) 1

B) 3

C) 4

D) 2

15 / 40

n ning qanday qiymatida tenglik to`g`ri bo’ladi? (7³)=7¹⁵

A) 5

B) 7

C) 1

D) 12

16 / 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) 5/6

C) 1/2

D) 8/15

17 / 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) 120

B) 100

C) 90

D) 80

18 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;3]∪[2;∞)

B) [-3;2]

C) x∈R

D) (-∞;0)∪(0;∞)

19 / 40

ni hisoblang.

A) 3

B) 1

C) 2

D) 0

20 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 3

B) 1

C) 2

D) 4

21 / 40

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

A) 25

B) 30

C) 0

D) 10

22 / 40

Agar bo‘lsa, m/n ni toping.

A) (1+√5)/2

B) 3

C) 4

D) 2

23 / 40

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

A) 0,432

B) 0,288

C) 0,144

D) 0,216

24 / 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

B) 1,5R

C) √3R(2-√3)

D) R(√3-√2)

25 / 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) dastlab kamayadi, keyin o‘sadi

B) qat’iy o‘suvchi

C) qat’iy kamayuvchi

D) dastlab o‘sadi, keyin kamayadi

26 / 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) 20

D) 40

27 / 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

28 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (4-m)/4

B) (m+1)/2

C) (m+4)/4

D) 2/m

29 / 40

tenglama intervalda nechta ildizga ega?

A) 4

B) 2

C) 3

D) 1

30 / 40

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

A) 9

B) 1

C) 0

D) 5

31 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) √5

B) 2,5

C) 2,4

D) √6

32 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/8

B) 1/8

C) √3/4

D) √2/8

33 / 40

Integralni hisoblang:

A) 3

B) 1

C) 4

D) 2

34 / 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

35 / 40

Tenglamani yeching:

A) 6/5

B) 9/5

C) 5/9

D) 5*4

36 / 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) 9

B) 15

C) 7

D) 12

37 / 40

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

A) 4

B) √17

C) -4

D) -√17

38 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) berilganlar yetarli emas

B) 6

C) 8

D) 10

39 / 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) 7°

B) 14°

C) 24°

D) 17°

40 / 40

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