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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

Agar ning qiymatini toping.

A) 23/75

B) 75/23

C) 3

D) 23/25

2 / 40

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

A) aniqlab bo‘lmaydi

B) 2

C) 3

D) 4

3 / 40

Tenglama ildizlari ayirmasining modulini toping.

A) 5

B) √5

C) √5+5

D) 2√5

4 / 40

P(-2;2) nuqtadan o'tuvchi va a(6;4)a vektorga perpendikulyar bo'lgan to'g'ri chiziq tenglamasini toping.

A) 3x+2y+2=0

B) 3x-2y-2=0

C) 3x+2y-2=0

D) 3x-2y+2=0

5 / 40

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

A) 130°

B) 120°

C) 110°

D) 100°

6 / 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

7 / 40

Tenglamani yeching:

A) 9/5

B) 5/9

C) 5*4

D) 6/5

8 / 40

Funksiyaning aniqlanish sohasini toping.

A) x∈R

B) [-3;2]

C) (-∞;3]∪[2;∞)

D) (-∞;0)∪(0;∞)

9 / 40

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

A) 4

B) 5

C) 2

D) 1

10 / 40

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

A) 36/65

B) 40/63

C) 48/65

D) 56/65

11 / 40

Hisoblang:

A) -1/2

B) -√3/2

C) 1/32

D) 0

12 / 40

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

A) 64

B) 32

C) 16(π-2)

D) 8(π+2)

13 / 40

sonlarini taqqolsang.

A) a

B) b

C) c

D) c

14 / 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) 105

C) 100

D) 25

15 / 40

Hisoblang:

A) sin10°

B) cos10°

C) 1

D) cos50°

16 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 110

B) 116

C) 112

D) 115

17 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 3

B) 1

C) 4

D) 2

18 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 28

C) 24

D) 32

19 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 30°

C) 40°

D) 20°

20 / 40

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

A) 20

B) 8

C) 10

D) 15

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) 4√2

B) 6

C) 4√3

D) 3√2

22 / 40

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

A) 8

B) 4√7

C) 10

D) 6√7

23 / 40

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

A) 4

B) 3

C) 1

D) 2

24 / 40

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

A) 15

B) 13

C) 12

D) 14

25 / 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) 5

B) -6

C) -4

D) -3

26 / 40

Tenglamani yeching:

A) 5

B) 6; -5

C) -6; 5

D) -6

27 / 40

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

A) 0

B) -π/4+πk, k∈Z

C) Ø

D) π/4+πk, k∈Z

28 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 10

C) 9

D) 12

29 / 40

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

A) 35

B) 23

C) 24

D) 14

30 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,04

C) 0,0(2)

D) 0,(04)

31 / 40

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

A) 10

B) 5

C) 11

D) 7

32 / 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) 12

C) 6

D) 8

33 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 6

C) 5

D) 4

34 / 40

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

A) 5

B) 8

C) 6

D) 7

35 / 40

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

A) 2√3tg50° tg70°

B) √3tg50° tg70°

C) √3ctg40° tg70°

D) 4 √3tg50° tg70°

36 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 3√2

C) 4√3

D) 2√3

37 / 40

To‘g‘ri to‘rtburchakning 16 ga teng diagonali yon tomoni bilan 15° li burchak tashkil etadi. To‘rtburchak yuzini toping.

A) 42

B) 48

C) 32

D) 64

38 / 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) 3

B) 4

C) 1

D) 2

39 / 40

Tenglamalar sistemani yeching:

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

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

C) (2; 3)

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

40 / 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