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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

33 Ko'rishlar 1 izoh

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

y=4cos 2x+cos8x funksiyaning hosilasini toping

A) 16sin3x*cos5x

B) -16cos3x*sin5x

C) 16sin3x*sin5x

D) 16cos3x*cos5x

2 / 40

Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

A) 8

B) 16

C) 24

D) 32

3 / 40

ABCD qavariq to‘rtburchakka aylana ichki chizilgan. AB = 8, BC = 12 bo‘lsa, CD – AD ayirmani toping.

A) aniqlab bo‘lmaydi

B) 4

C) 3

D) 2

4 / 40

f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) [-1; ∞)

B) (-2; ∞)

C) (-1; ∞)

D) (0; ∞)

5 / 40

y=f(x) funksiya uchun tenglik o'rinli bo'lsa, f(π/4)=?

A) 1/5

B) 1/3

C) 4

D) 1/4

6 / 40

Bir odam shunday vasiyat qildi: “Naqd 10 dirham pulim bor. Bir kishiga qarz ham berganman. Qarzning miqdori o'g'lim oladigan merosga teng. Ikkala o'g'lim barobar meros olishsin. Ukamga jami merosning 0,2 qismini va yana 1 dirham beringlar”. U kishining o'g'illari necha dirhamdan meros olishgan?

A) 6

B) 35/6

C) 25/3

D) 8

7 / 40

Quyida berilgan holatda stol va uni atrofida qo’yiladigan stullarning holati berilgan va raqamlangan k-holatda stullarning raqamlari yig`indisi 351 taga teng bo`lsa, k ni toping ?

A) 12

B) 13

C) 11

D) 10

8 / 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) 48/5

C) 16

D) 10

9 / 40

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUB 3-EKUB

B) 1-EKUB 2-EKUB 3-EKUK

C) 1-EKUB 2-EKUK 3-EKUK

D) 1-EKUB 2-EKUK 3-EKUB

10 / 40

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

A) 6

B) 9

C) 8

D) 10

11 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/8

B) √2/8

C) 1/8

D) √3/4

12 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) 2/m

B) (m+1)/2

C) (m+4)/4

D) (4-m)/4

13 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 5 yoki –15

B) 6

C) 3 yoki –8

D) 4 yoki –12

14 / 40

Agar geometrik progressiyaning umumiy hadi b_n= 3·2ⁿ bo‘lsa, ni toping.

A) 4

B) 2

C) 1

D) 3

15 / 40

tenglamaning ildizlari yig‘indisini (agar ildizi bitta bo‘lsa, o‘zini) toping.

A) 8

B) 3

C) 5

D) -2

16 / 40

Hisoblang:

A) 0

B) 1/32

C) -1/2

D) -√3/2

17 / 40

Tenglamani yeching:

A) -6; 5

B) -6

C) 6; -5

D) 5

18 / 40

P(x)=x¹ºº ko‘phadni x³-3x+2 ga bo‘lganda qoladigan qoldiqni toping.

2¹ºº-1
(2¹ºº-1)x+2(2⁹⁹-1)
(2¹ºº-1)x-2(2⁹⁹-1)
2¹ººx-3·2¹⁰⁰

A) 2

B) 4

C) 1

D) 3

19 / 40

Hisoblang:

A) cos10°

B) cos50°

C) sin10°

D) 1

20 / 40

Tenglamalar sistemani yeching:

A) (7; 2), (28; -1)

B) (9; 0), (28; -1)

C) (9; 0), (2; 7)

D) (2; 3)

21 / 40

ABC to‘g‘ri burchakli uchburchakning og‘irlik markazi G nuqta. Bunda AB ⊥ BC, AG ⊥ GB va AG = 8 bo‘lsa, BG ni toping.

A) 6

B) 3√2

C) 4√2

D) 4√3

22 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 14

B) 23

C) 24

D) 35

23 / 40

ABC uchburchakning A burchgi 30° ga, B burchagi 75° ga teng. B uchidan AC tomonga BD kesma o‘tkazilgan. ABD burchak 45° ga teng bo‘lsa, quyidagilardan qaysi biri noto‘g‘ri?

A) AB = BC

B) BC > AD

C) BD = BC

D) DC < AD

24 / 40

Tenglikdan foydalanib a ni toping. (a+b+c+d)·(a-b-c+d)=(a-b+c-d)·(a+b-c-d)

A) 1

B) cd/b

C) bd/c

D) bc/d

25 / 40

Kvadratga ikkita yarim aylana ichki chizilgan. Bo‘yalgan soha yuzini toping.

A) 16(π-2)

B) 8(π+2)

C) 64

D) 32

26 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 30°

C) 50°

D) 40°

27 / 40

sonlarini taqqolsang.

A) a

B) b

C) c

D) c

28 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 6√7

B) 8

C) 10

D) 4√7

29 / 40

Agar α=60°, β=70°, γ=50° bo‘lsa, tgα+ tgβ+ tgγ yig‘indi quyidagilardan qaysi biriga teng?

A) √3tg50° tg70°

B) 4 √3tg50° tg70°

C) 2√3tg50° tg70°

D) √3ctg40° tg70°

30 / 40

a_n - arifmetik progressiyaning umumiy hadi bo‘lsa, quyidagi nisbatni toping:

A) 7

B) 6

C) 5

D) 8

31 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 3√2

C) 2√2

D) 2√3

32 / 40

6-(5:3)·(-3)²-(-3)³+15:(-3) hisoblang.

A) 13

B) 14

C) 15

D) 12

33 / 40

Barcha ikki xonali sonlar ko‘paytmasi 4 ning qanday eng katta darajasiga bo‘linadi?

A) 42

B) 45

C) 43

D) 44

34 / 40

ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

A) 10

B) 6

C) 8

D) 12

35 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 3

C) 4

D) 1

36 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 22

C) 11

D) 121

37 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 112

C) 110

D) 116

38 / 40

√3

A) 7/3

B) 5/5

C) 3/2

D) 21/10

39 / 40

3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 100

B) 25

C) 105

D) 96

40 / 40

Hisoblang: