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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

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

A) Ikkinchi yo'l

B) Uchunchi yo'l

C) Birinchi yo'l

D) To'rtinchi yo'l

2 / 40

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

A) 4

B) 3

C) aniqlab bo‘lmaydi

D) 2

3 / 40

Aniq integralni hisoblang:

A) 0,5

B) 2

C) 3

D) 0

4 / 40

x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 26

B) 32

C) 27

D) 48

5 / 40

Hisoblang:

A) 3

B) 1

C) 4

D) 2

6 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 6

B) 9

C) 7

D) 8

7 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 1/3

B) 1/2

C) 8/15

D) 5/6

8 / 40

ni hisoblang.

A) 3

B) 2

C) 0

D) 1

9 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 96π

B) 72π

C) 144π

D) 192π

10 / 40

Agar bo‘lsa, m/n ni toping.

A) 3

B) 4

C) 2

D) (1+√5)/2

11 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 4

C) 11

D) 5

12 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,0(2)

C) 0,0(4)

D) 0,04

13 / 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) -3

B) 5

C) -4

D) -6

14 / 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) 3 yoki –8

C) 6

D) 4 yoki –12

15 / 40

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

A) 44

B) 42

C) 45

D) 43

16 / 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) 64

C) 48

D) 32

17 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

18 / 40

Hisoblang:

A) -1/2

B) -√3/2

C) 0

D) 1/32

19 / 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√3

B) 6

C) 4√2

D) 3√2

20 / 40

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

A) 15

B) 14

C) 13

D) 12

21 / 40

Tenglamani yeching:

A) 5

B) -6; 5

C) -6

D) 6; -5

22 / 40

Hisoblang:

A) cos50°

B) sin10°

C) cos10°

D) 1

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) 96

C) 100

D) 25

24 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 50°

C) 20°

D) 30°

25 / 40

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

A) -π/4+πk, k∈Z

B) 0

C) π/4+πk, k∈Z

D) Ø

26 / 40

sonlarini taqqolsang.

A) b

B) a

C) c

D) c

27 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 1

C) 2

D) 3

28 / 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) 35

D) 14

29 / 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) 1

C) 4

D) 2

30 / 40

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

A) 4 √3tg50° tg70°

B) 2√3tg50° tg70°

C) √3ctg40° tg70°

D) √3tg50° tg70°

31 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 110

B) 115

C) 116

D) 112

32 / 40

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

A) 20

B) 8

C) 15

D) 10

33 / 40

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

A) 16(π-2)

B) 32

C) 8(π+2)

D) 64

34 / 40

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

A) 11

B) 7

C) 5

D) 10

35 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 4

C) 3

D) 1

36 / 40

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

A) -2

B) 8

C) 3

D) 5

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) 10

B) 8

C) 6

D) 12

38 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.