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Matematika attestatsiya №5

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Yanvar 24, 2022

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

Qayiq daryo oqimga qarshi 48 km va oqim bo‘yicha ham shuncha yo‘l bosib, butun yo‘lga 5 soat vaqt sarfladi. Daryo oqimining tezligi 4 km/soat bo‘lsa, qayiqning xususiy tezligini toping.

A) 25

B) 22

C) 18

D) 20

2 / 40

Quyidagi javoblardan qaysi biri tengsizlikni yechimi bo'la oladi?

A) 3

B) 4

C) 2

D) 1

3 / 40

Bobur 14 m/s tezlik bilan 5 soat, 36 km/soat tezlik bilan 5 minut yugurgan bo’lsa , Boburning umumiy yurgan yo’li topilsin

A) 13 km

B) 670 km

C) 456 km

D) 255 km

4 / 40

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

A) 2

B) 3

C) 4

D) 1

5 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 1

B) 3

C) 2

D) 4

6 / 40

Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 114

B) 108

C) 96

D) 126

7 / 40

Soddalshtiring.

A) -1

B) 1

C) 2

D) 6

8 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 98

B) 101

C) 100

D) 99

9 / 40

Soddalashtiring.

A) (a-1)/(1-b)

B) (a+1)/(-a-3)

C) (b+2)/(1-b)

D) (a-1)/(a-3)

10 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 28

B) 52

C) 48

D) 40

11 / 40

x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 16

B) 48

C) 32

D) 64

12 / 40

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

A) 4800

B) 5050

C) 600

D) 3600

13 / 40

Hisoblang:

A) cos50°

B) 1

C) sin10°

D) cos10°

14 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 20°

C) 30°

D) 40°

15 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 11

C) 9

D) 12

16 / 40

sonlarini taqqolsang.

A) c

B) a

C) b

D) c

17 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 14

C) 10

D) 12

18 / 40

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

A) 5

B) 10

C) 7

D) 11

19 / 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) 32

C) 48

D) 42

20 / 40

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

A) 44

B) 43

C) 45

D) 42

21 / 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

22 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) 11

C) berilganlar yetarli emas

D) 121

23 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 1

B) 2

C) 4

D) 3

24 / 40

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

A) 8(π+2)

B) 16(π-2)

C) 32

D) 64

25 / 40

bo‘lsa,

A) 1

B) 3/2

C) 2/3

D) 2

26 / 40

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

A) 23

B) 24

C) 35

D) 14

27 / 40

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

A) 2

B) 3

C) 1

D) 4

28 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 32

C) 30

D) 28

29 / 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) 25

B) 100

C) 96

D) 105

30 / 40

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

A) 15

B) 8

C) 10

D) 20

31 / 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) 6

C) 4√3

D) 3√2

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) 8

B) 6√7

C) 4√7

D) 10

33 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

34 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 2√3

C) 3√2

D) 2√2

35 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 5

B) 11

C) 4

D) 6

36 / 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) AB = BC

B) BC > AD

C) BD = BC

D) DC < AD

37 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,(04)

C) 0,04

D) 0,0(4)

38 / 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) -4

C) 5

D) -3

39 / 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) 6

C) 12

D) 8

40 / 40

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

A) 15

B) 12

C) 14

D) 13