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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

tengsizlikni yeching.

A) x∈(-5;1)

B) x∈(-∞;5)∪(-3;1)

C) x∈(-3;1)

D) x∈(-∞;5)

2 / 40

bo‘lsa, x + y ni toping.

A) 16

B) 18

C) 20

D) 17

3 / 40

f(x)=26sin6x·sin7x funksiya uchun boshlang'ich funksiyasini toping.

A) 13cosx-cos13x + C

B) 13sinx+sin13x + C

C) 13sinx-sin13x + C

D) -13cosx- cos13 x +C

4 / 40

Tengsizlikni yeching.

A) [-2;1]∪{-3}

B) [-3;-2]

C) (-∞;-2]

D) [-3;2]∪{1}

5 / 40

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

A) 10

B) 64/5

C) 16

D) 48/5

6 / 40

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

A) 10°

B) 20°

C) 30°

D) 40°

7 / 40

Hisoblang:

A) 0

B) 8

C) 6

D) 4

8 / 40

Funksiyaning aniqlanish sohasini toping.

A) [-3;2]

B) (-∞;3]∪[2;∞)

C) x∈R

D) (-∞;0)∪(0;∞)

9 / 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 kamayuvchi

C) dastlab o‘sadi, keyin kamayadi

D) qat’iy o‘suvchi

10 / 40

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

A) 10

B) 0

C) 25

D) 30

11 / 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) 6

B) 12

C) 8

D) 10

12 / 40

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

A) 48

B) 32

C) 64

D) 42

13 / 40

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

A) 0

B) Ø

C) -π/4+πk, k∈Z

D) π/4+πk, k∈Z

14 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 32

C) 28

D) 24

15 / 40

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

A) 11

B) 5

C) 7

D) 10

16 / 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) 4√7

D) 10

17 / 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) 100

C) 105

D) 25

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) -6

B) 5

C) -3

D) -4

19 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 12

C) 14

D) 10

20 / 40

Ifodaning qiymatini toping.

A) 0,04

B) 0,0(2)

C) 0,0(4)

D) 0,(04)

21 / 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) 2

C) 4

D) 1

22 / 40

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

A) 7

B) 8

C) 5

D) 6

23 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

24 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 10

C) 9

D) 11

25 / 40

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

A) 8

B) 20

C) 10

D) 15

26 / 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) 24

C) 35

D) 23

27 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 121

C) 11

D) 22

28 / 40

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

A) 3 yoki –8

B) 6

C) 5 yoki –15

D) 4 yoki –12

29 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 40°

C) 20°

D) 30°

30 / 40

Hisoblang:

A) 0

B) -√3/2

C) 1/32

D) -1/2

31 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 110

B) 115

C) 112

D) 116

32 / 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) 4√2

D) 6

33 / 40

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

A) 3

B) 8

C) -2

D) 5

34 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 3

C) 2

D) 1

35 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 3

C) 1

D) 4

36 / 40

Tenglamani yeching:

A) 5

B) 6; -5

C) -6

D) -6; 5

37 / 40

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

A) 64

B) 8(π+2)

C) 32

D) 16(π-2)

38 / 40

Hisoblang:

A) sin10°

B) cos10°

C) cos50°

D) 1

39 / 40

√3

A) 3/2

B) 7/3

C) 5/5

D) 21/10

40 / 40

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

A) √3tg50° tg70°

B) 2√3tg50° tg70°

C) √3ctg40° tg70°

D) 4 √3tg50° tg70°

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