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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

va bo'lsa x-y=?

A) 8

B) 9

C) 5

D) 7

2 / 40

Jaloliddin uyiga tezroq qaytish uchun qaysi yo’lni tanlash kerak.

A) Uchunchi yo'l

B) To'rtinchi yo'l

C) Ikkinchi yo'l

D) Birinchi yo'l

3 / 40

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

A) 2

B) 4

C) 1

D) 3

4 / 40

f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)+2x²-1

B) f(x)=x²+3x+7

C) f(x)=x²-x+5

D) f(x)=x²-4

5 / 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) 40°

C) 20°

D) 30°

6 / 40

Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -1

B) -2

C) 0

D) -3

7 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;0)∪(0;∞)

B) x∈R

C) [-3;2]

D) (-∞;3]∪[2;∞)

8 / 40

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

A) 5

B) 0

C) 9

D) 1

9 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 2

B) 3

C) 4

D) 1

10 / 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) 20

B) 25

C) 40

D) 35

11 / 40

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

A) 5

B) 8

C) -2

D) 3

12 / 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) -4

D) -3

13 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 11

C) 6

D) 5

14 / 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

15 / 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) DC < AD

B) BD = BC

C) BC > AD

D) AB = BC

16 / 40

√3

A) 5/5

B) 3/2

C) 7/3

D) 21/10

17 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 1

C) 4

D) 3

18 / 40

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

A) cd/b

B) bc/d

C) bd/c

D) 1

19 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 12

C) 9

D) 10

20 / 40

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

A) 5

B) 11

C) 7

D) 10

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) 3√2

C) 4√3

D) 6

22 / 40

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

A) 14

B) 15

C) 13

D) 12

23 / 40

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

A) 8

B) 6

C) 7

D) 5

24 / 40

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

A) 6

B) 5 yoki –15

C) 4 yoki –12

D) 3 yoki –8

25 / 40

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

A) √3ctg40° tg70°

B) 2√3tg50° tg70°

C) 4 √3tg50° tg70°

D) √3tg50° tg70°

26 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 115

C) 110

D) 116

27 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,0(2)

C) 0,04

D) 0,(04)

28 / 40

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

A) 32

B) 16(π-2)

C) 64

D) 8(π+2)

29 / 40

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

A) 4√7

B) 6√7

C) 8

D) 10

30 / 40

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

A) 43

B) 42

C) 45

D) 44

31 / 40

Hisoblang:

A) 1

B) sin10°

C) cos50°

D) cos10°

32 / 40

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

A) 20

B) 15

C) 10

D) 8

33 / 40

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

A) -π/4+πk, k∈Z

B) π/4+πk, k∈Z

C) 0

D) Ø

34 / 40

Tenglamani yeching:

A) -6; 5

B) 5

C) -6

D) 6; -5

35 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 3√2

C) 4√3

D) 2√2

36 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 32

C) 28

D) 30

37 / 40

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

A) 24

B) 35

C) 23

D) 14

38 / 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) 8

D) 6

39 / 40

Tenglamalar sistemani yeching: