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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

Berilgan sonlarning yig’indisini toping.

A) -452/18

B) 2/4

C) 1/4

D) 3/18

2 / 40

Agar ni hisoblang.

A) 0

B) Cheksiz

C) 8

D) 9

3 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 4

B) 7,5

C) 3

D) 4,5

4 / 40

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) 2√14+√6

B) 18

C) 16

D) √6+√14

5 / 40

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

A) 48/5

B) 10

C) 64/5

D) 16

6 / 40

Quyida berilgan shakillar ichidagi sonlar yig`indisi nolgateng bo`lishi uchun . Nechanchi shakilni olib tashlash kerak?

A) 4

B) 1

C) 2

D) 3

7 / 40

x²-n≤0 tengsizlik o‘rinli bo‘ladigan x ning 7 ta butun ildizi bor bo‘lsa. n nechta turli butun qiymat qabul qiladi?

A) 12

B) 9

C) 15

D) 7

8 / 40

Hisoblang:

A) 6

B) 8

C) 4

D) 0

9 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) 1/8

B) √3/8

C) √2/8

D) √3/4

10 / 40

Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 25

B) 41

C) 50

D) 32

11 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

12 / 40

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

A) 3

B) 5

C) -2

D) 8

13 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 10

C) 11

D) 9

14 / 40

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

A) Ø

B) π/4+πk, k∈Z

C) 0

D) -π/4+πk, k∈Z

15 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 30°

C) 40°

D) 50°

16 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) 6; -5

D) -6

17 / 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) 12

B) 10

C) 8

D) 6

18 / 40

Hisoblang:

A) sin10°

B) 1

C) cos50°

D) cos10°

19 / 40

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

A) 10

B) 7

C) 11

D) 5

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) BC > AD

B) DC < AD

C) BD = BC

D) AB = BC

21 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 30

C) 32

D) 28

22 / 40

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

A) 42

B) 43

C) 44

D) 45

23 / 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) 105

B) 100

C) 25

D) 96

24 / 40

Hisoblang:

A) -1/2

B) -√3/2

C) 0

D) 1/32

25 / 40

√3

A) 21/10

B) 7/3

C) 3/2

D) 5/5

26 / 40

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

A) 32

B) 64

C) 8(π+2)

D) 16(π-2)

27 / 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) 2

C) 4

D) 3

28 / 40

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

A) 2√3tg50° tg70°

B) 4 √3tg50° tg70°

C) √3tg50° tg70°

D) √3ctg40° tg70°

29 / 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

30 / 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) 3√2

D) 6

31 / 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) 4 yoki –12

C) 5 yoki –15

D) 3 yoki –8

32 / 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) 24

D) 23

33 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,04

C) 0,0(2)

D) 0,0(4)

34 / 40

Hisoblang:

A) 20/21

B) 19/20

C) 10/11

D) 9/10

35 / 40

sonlarini taqqolsang.

A) a

B) c

C) c

D) b

36 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 10

C) 12

D) 20

37 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 4

C) 3

D) 1

38 / 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) 4√7

C) 8

D) 6√7

39 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 2

C) 1

D) 4

40 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 110

C) 112

D) 115

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