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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

ni hisoblang.

A) (e-1)/2

B) e-1

C) (e+1)/2

D) e+1

2 / 40

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

A) Uchunchi yo'l

B) Ikkinchi yo'l

C) Birinchi yo'l

D) To'rtinchi yo'l

3 / 40

tenglamani yeching.

A) log(3/5)2

B) log(5/3)2

C) 3

D) 5

4 / 40

Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 13

B) 5,75

C) 6

D) 9,25

5 / 40

Quyidagi berilgan qoldiqli bo`lishlardan qaysi biri to`g`ribajarilgan ?
a)76 : 9 = 7 (qoldiq 13);
b)20 : 7 = 2 (qoldiq 6);
d)54 : 15 = 4 (qoldiq 1)

A) )a,b,d

B) b

C) b,d

D) a,b

6 / 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) 13

B) 11

C) 10

D) 12

7 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 1

B) 8

C) 5

D) 0

8 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 600

B) 3600

C) 4800

D) 5050

9 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 2

B) 4

C) 1

D) 3

10 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 80

B) 100

C) 90

D) 120

11 / 40

sonlarini taqqolsang.

A) c

B) b

C) a

D) c

12 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 3√2

C) 4√3

D) 2√3

13 / 40

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

A) 4

B) 1

C) 3

D) 2

14 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 30°

C) 40°

D) 50°

15 / 40

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

A) 13

B) 12

C) 15

D) 14

16 / 40

Hisoblang:

A) sin10°

B) cos50°

C) cos10°

D) 1

17 / 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) 8

D) 4√7

18 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 1

C) 2

D) 3

19 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

20 / 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) 4 √3tg50° tg70°

D) √3ctg40° tg70°

21 / 40

bo‘lsa,

A) 3/2

B) 1

C) 2

D) 2/3

22 / 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) 4 yoki –12

C) 3 yoki –8

D) 6

23 / 40

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

A) 7

B) 10

C) 11

D) 5

24 / 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) 25

D) 105

25 / 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) 3

C) 4

D) 1

26 / 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) 23

C) 14

D) 35

27 / 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) 4√3

C) 6

D) 3√2

28 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 6

C) 4

D) 5

29 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 11

C) 22

D) 121

30 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 112

C) 115

D) 110

31 / 40

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

A) 64

B) 42

C) 48

D) 32

32 / 40

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

A) 6

B) 5

C) 7

D) 8

33 / 40

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

A) -π/4+πk, k∈Z

B) Ø

C) 0

D) π/4+πk, k∈Z

34 / 40

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

A) 64

B) 8(π+2)

C) 32

D) 16(π-2)

35 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 1

C) 3

D) 2

36 / 40

Hisoblang:

A) 10/11

B) 20/21

C) 19/20

D) 9/10

37 / 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) 8

B) 6

C) 12

D) 10

38 / 40

Hisoblang: