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Matematika attestatsiya №6

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Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

Quyidagi javoblardan qaysi biri tengsizlikni yechimi bo'la oladi?

A) 1

B) 2

C) 3

D) 4

2 / 40

Merganning nishonga tekkizish ehtimoli 0,8 ga teng. U ishonga 2 marta o‘q uzganda o‘qlardan biri nishonga tegishining ehtimolligini toping.

A) 0,32

B) 0,16

C) 0,8

D) 0,5

3 / 40

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

A) 1

B) 0

C) 3

D) 2

4 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) √5

B) 5

C) 2√5

D) √5+5

5 / 40

AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

A) 40°

B) 30°

C) 10°

D) 20°

6 / 40

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

A) 10

B) 16

C) 48/5

D) 64/5

7 / 40

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

A) 1

B) 3

C) 4

D) 2

8 / 40

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

A) 192π

B) 72π

C) 144π

D) 96π

9 / 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) 9√5

C) 12√3

D) 8√3

10 / 40

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

A) 2

B) 4

C) 3

D) 1

11 / 40

Hisoblang:

A) cos50°

B) sin10°

C) cos10°

D) 1

12 / 40

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

A) 7

B) 6

C) 8

D) 5

13 / 40

A(4;6), B(2;1), C(6;1) nuqtalarni tutashtirishdan hosil bo‘ladigan uchburchak yuzini toping.

A) 15

B) 20

C) 8

D) 10

14 / 40

sonlarini taqqolsang.

A) b

B) a

C) c

D) c

15 / 40

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

A) 45

B) 42

C) 43

D) 44

16 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 50°

C) 20°

D) 40°

17 / 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) 1

B) 4

C) 2

D) 3

18 / 40

P(x+1)=x³+3x²-2x+a+3 ko‘phadi berilgan. P(x+2) ko‘phadining koeffitsiyentlari yig‘indisini 8 ga teng bo‘lsa, a nechaga teng?

A) -4

B) -6

C) -3

D) 5

19 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,0(4)

C) 0,(04)

D) 0,04

20 / 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) BD = BC

B) DC < AD

C) BC > AD

D) AB = BC

21 / 40

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

A) 64

B) 16(π-2)

C) 32

D) 8(π+2)

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) 35

C) 23

D) 24

23 / 40

bo‘lsa,

A) 1

B) 3/2

C) 2/3

D) 2

24 / 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) 3√2

B) 4√3

C) 6

D) 4√2

25 / 40

kasrning o‘nli kasr ko‘rinishidagi raqamlarining yig‘indisini toping.

A) 11

B) 5

C) 7

D) 10

26 / 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) √3ctg40° tg70°

D) 2√3tg50° tg70°

27 / 40

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

A) 10

B) 6√7

C) 4√7

D) 8

28 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 10

B) 20

C) 14

D) 12

29 / 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) 96

B) 25

C) 105

D) 100

30 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 116

C) 112

D) 110

31 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 2√3

C) 4√3

D) 3√2

32 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 2

C) 3

D) 1

33 / 40

1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) 0

B) π/4+πk, k∈Z

C) -π/4+πk, k∈Z

D) Ø

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) 8

C) 12

D) 6

35 / 40

x²-√11x+1=0 0 bo‘lsa,