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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

y=kx+n funksiyaning grafigi I va III chorakdan o‘tishi uchun k va n qanday bo‘lishi kerak?

A) n = 0, k < 0

B) n = 0, k > 0

C) n > 0, k = 0

D) n < 0, k = 0

2 / 40

Berilgan sonlarning yig’indisini toping.

A) 3/18

B) -452/18

C) 1/4

D) 2/4

3 / 40

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

A) Birinchi yo'l

B) To'rtinchi yo'l

C) Uchunchi yo'l

D) Ikkinchi yo'l

4 / 40

Aniq integralni hisoblang:

A) 2

B) 0,5

C) 3

D) 0

5 / 40

Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) √2

B) √3

C) 2

D) 1

6 / 40

Bir odam shunday vasiyat qildi: “Naqd 10 dirham pulim bor. Bir kishiga qarz ham berganman. Qarzning miqdori o'g'lim oladigan merosga teng. Ikkala o'g'lim barobar meros olishsin. Ukamga jami merosning 0,2 qismini va yana 1 dirham beringlar”. U kishining o'g'illari necha dirhamdan meros olishgan?

A) 8

B) 25/3

C) 35/6

D) 6

7 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 4

B) 1

C) 3

D) 2

8 / 40

Hisoblang?

A) 4

B) 2

C) 0,25

D) 0,5

9 / 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) 11

B) 12

C) 13

D) 10

10 / 40

Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,288

B) 0,144

C) 0,216

D) 0,432

11 / 40

Tenglamani yeching:

A) 5/9

B) 6/5

C) 9/5

D) 5*4

12 / 40

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

A) 192π

B) 144π

C) 72π

D) 96π

13 / 40

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

A) 16(π-2)

B) 8(π+2)

C) 32

D) 64

14 / 40

Hisoblang:

A) -1/2

B) 0

C) -√3/2

D) 1/32

15 / 40

Hisoblang:

A) cos10°

B) sin10°

C) cos50°

D) 1

16 / 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) 8

C) 10

D) 12

17 / 40

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

A) 3

B) 8

C) -2

D) 5

18 / 40

Hisoblang:

A) 10/11

B) 20/21

C) 19/20

D) 9/10

19 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 1

C) 2

D) 3

20 / 40

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

A) 0

B) π/4+πk, k∈Z

C) -π/4+πk, k∈Z

D) Ø

21 / 40

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

A) 7

B) 5

C) 8

D) 6

22 / 40

Rasmdagi shakl perimetrini toping.

A) 28

B) 30

C) 32

D) 24

23 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 40°

C) 20°

D) 50°

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) 25

C) 100

D) 105

25 / 40

bo‘lsa,

A) 2/3

B) 2

C) 1

D) 3/2

26 / 40

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

A) 3

B) 2

C) 4

D) 1

27 / 40

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

A) 45

B) 44

C) 43

D) 42

28 / 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) 4

C) 2

D) 3

29 / 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) 5

B) -3

C) -4

D) -6

30 / 40

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

A) 4 yoki –12

B) 6

C) 3 yoki –8

D) 5 yoki –15

31 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 5

C) 6

D) 11

32 / 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

33 / 40

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

A) 10

B) 5

C) 7

D) 11

34 / 40

Tenglamani yeching:

A) 6; -5

B) -6

C) 5

D) -6; 5

35 / 40

sonlarini taqqolsang.

A) c

B) c

C) b

D) a

36 / 40

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

A) 10

B) 15

C) 20

D) 8

37 / 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

38 / 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) 6

B) 4√3

C) 3√2

D) 4√2

39 / 40

Tenglamalar sistemani yeching: