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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

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 4

B) 1

C) 3

D) 2

2 / 40

y=4cos 2x+cos8x funksiyaning hosilasini toping

A) -16cos3x*sin5x

B) 16sin3x*sin5x

C) 16cos3x*cos5x

D) 16sin3x*cos5x

3 / 40

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 60

B) 58

C) 59

D) 61

4 / 40

funksiyaning qiymatlar to'plamini toping.

A) [-√2;0)∪(0;√2]

B) [-√2;-1)∪(-1;1)∪(1;√2]

C) (-2√2;√2)

D) [-√2;√2]

5 / 40

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

A) 96

B) 126

C) 114

D) 108

6 / 40

Aniq integralni hisoblang:

A) 3

B) 0

C) 2

D) 0,5

7 / 40

Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 14

B) 12

C) 11

D) 13

8 / 40

Quyidagi rasmda konus va silindr zaytun moyi bilanto`ldirilmoqda . Ikkala shaklning balandliklari va taglik doiralarining radiuslari teng uzunlikda 2sm . Shunga ko`ra idishga jami necha ?m³

A) 11π

B) (28π)/3

C) (29π)/3

D) (32π)/3

9 / 40

Hisoblang?

A) 0,25

B) 4

C) 2

D) 0,5

10 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) 1,5R

B) R(√3-√2)

C) √3R(2-√3)

D) 3R

11 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 142°

B) 138°

C) 132°

D) 135°

12 / 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) 120

D) 90

13 / 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) 3√2

C) 6

D) 4√2

14 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 3

C) 4

D) 1

15 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 9

C) 12

D) 11

16 / 40

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

A) 15

B) 12

C) 13

D) 14

17 / 40

Hisoblang:

A) -1/2

B) 0

C) -√3/2

D) 1/32

18 / 40

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

A) 7

B) 11

C) 10

D) 5

19 / 40

Hisoblang:

A) 10/11

B) 19/20

C) 9/10

D) 20/21

20 / 40

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

A) 8(π+2)

B) 32

C) 16(π-2)

D) 64

21 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 116

C) 110

D) 112

22 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) 11

C) berilganlar yetarli emas

D) 121

23 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 24

C) 28

D) 32

24 / 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) 12

C) 6

D) 8

25 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 5

C) 6

D) 4

26 / 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) 24

C) 23

D) 35

27 / 40

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

A) 43

B) 44

C) 42

D) 45

28 / 40

√3

A) 5/5

B) 3/2

C) 21/10

D) 7/3

29 / 40

Tenglamani yeching:

A) -6

B) -6; 5

C) 5

D) 6; -5

30 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 20°

C) 40°

D) 50°

31 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 4√3

C) 2√2

D) 3√2

32 / 40

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

A) √3ctg40° tg70°

B) 2√3tg50° tg70°

C) 4 √3tg50° tg70°

D) √3tg50° tg70°

33 / 40

Hisoblang:

A) cos50°

B) cos10°

C) sin10°

D) 1

34 / 40

Tenglikdan foydalanib a ni toping. (a+b+c+d)·(a-b-c+d)=(a-b+c-d)·(a+b-c-d)

A) bc/d

B) cd/b

C) 1

D) bd/c

35 / 40

bo‘lsa,

A) 2/3

B) 3/2

C) 2

D) 1

36 / 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) 4

B) 1

C) 3

D) 2

37 / 40

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

A) 3

B) -2

C) 5

D) 8

38 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 1

C) 4

D) 2

39 / 40

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

A) 0

B) Ø

C) -π/4+πk, k∈Z

D) π/4+πk, k∈Z

40 / 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) 100

B) 96

C) 105

D) 25