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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

Quyidagi javoblardan qaysi biri tengsizlikni yechimi bo'la oladi?

A) 1

B) 2

C) 3

D) 4

2 / 40

bo‘lsa, y = ?

A) 26

B) 8

C) 2

D) 3

3 / 40

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

A) 126

B) 96

C) 114

D) 108

4 / 40

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

A) 3

B) 1

C) 0

D) 2

5 / 40

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

A) 13

B) 11

C) 12

D) 14

6 / 40

Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 6

B) 4

C) 3

D) 5

7 / 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) 3R

C) R(√3-√2)

D) √3R(2-√3)

8 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) qat’iy o‘suvchi

B) qat’iy kamayuvchi

C) dastlab o‘sadi, keyin kamayadi

D) dastlab kamayadi, keyin o‘sadi

9 / 40

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

A) 72π

B) 96π

C) 192π

D) 144π

10 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 1

B) 4

C) 2

D) 3

11 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 1

B) 4

C) 2

D) 3

12 / 40

√3

A) 7/3

B) 21/10

C) 3/2

D) 5/5

13 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 4

C) 1

D) 3

14 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 11

C) 9

D) 10

15 / 40

sonlarini taqqolsang.

A) b

B) c

C) a

D) c

16 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 11

C) 4

D) 5

17 / 40

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

A) 3

B) 4

C) 2

D) 1

18 / 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) √3tg50° tg70°

D) √3ctg40° tg70°

19 / 40

Hisoblang:

A) 0

B) 1/32

C) -1/2

D) -√3/2

20 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 112

C) 110

D) 115

21 / 40

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

A) bd/c

B) bc/d

C) 1

D) cd/b

22 / 40

To‘g‘ri to‘rtburchakning 16 ga teng diagonali yon tomoni bilan 15° li burchak tashkil etadi. To‘rtburchak yuzini toping.

A) 32

B) 64

C) 42

D) 48

23 / 40

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

A) 11

B) 7

C) 10

D) 5

24 / 40

Tenglamalar sistemani yeching:

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

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

C) (2; 3)

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

25 / 40

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

A) 6

B) 5

C) 7

D) 8

26 / 40

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

A) -2

B) 5

C) 3

D) 8

27 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 50°

C) 40°

D) 20°

28 / 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) 5 yoki –15

C) 4 yoki –12

D) 3 yoki –8

29 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 32

C) 24

D) 28

30 / 40

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

A) 42

B) 43

C) 44

D) 45

31 / 40

Hisoblang:

A) 1

B) cos10°

C) cos50°

D) sin10°

32 / 40

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

A) 12

B) 15

C) 13

D) 14

33 / 40

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

A) 15

B) 10

C) 8

D) 20

34 / 40

bo‘lsa,

A) 3/2

B) 1

C) 2

D) 2/3

35 / 40

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

A) 8(π+2)

B) 16(π-2)

C) 64

D) 32

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) 1

B) 4

C) 3

D) 2

37 / 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) 3√2

B) 4√3

C) 4√2

D) 6

38 / 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) BD = BC

B) BC > AD

C) AB = BC

D) DC < AD

39 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 10

C) 20

D) 12

40 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 11

C) 22

D) 121

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