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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=4cos 2x+cos8x funksiyaning hosilasini toping

A) 16sin3x*sin5x

B) -16cos3x*sin5x

C) 16cos3x*cos5x

D) 16sin3x*cos5x

2 / 40

tenglamalar sistemasi yechimga ega bo‘ladigan a ning barcha qiymatlari to‘plamini toping.

A) 4

B) 2

C) 1

D) 3

3 / 40

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

A) 2

B) aniqlab bo‘lmaydi

C) 3

D) 4

4 / 40

f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)=x²-x+5

B) f(x)+2x²-1

C) f(x)=x²+3x+7

D) f(x)=x²-4

5 / 40

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

A) 4

B) 3

C) 1

D) 2

6 / 40

Tengsizlikni yeching.

A) (-∞;-2]

B) [-2;1]∪{-3}

C) [-3;2]∪{1}

D) [-3;-2]

7 / 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) (29π)/3

B) 11π

C) (28π)/3

D) (32π)/3

8 / 40

Quyidagi berilgan qoldiqli bo`lishlardan qaysi biri to`g`ribajarilgan ?
a)76 : 9 = 7 (qoldiq 13);
b)20 : 7 = 2 (qoldiq 6);
d)54 : 15 = 4 (qoldiq 1)

A) )a,b,d

B) a,b

C) b

D) b,d

9 / 40

DC||AB , ∠DCE=45°,∠CEA=x va ∠EAB=115° ga tengbo`lsa x ni toping ?

A) 110°

B) 130°

C) 100°

D) 120°

10 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 5

B) 9

C) 0

D) 1

11 / 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 kamayuvchi

B) dastlab o‘sadi, keyin kamayadi

C) qat’iy o‘suvchi

D) dastlab kamayadi, keyin o‘sadi

12 / 40

ni hisoblang.

A) 1

B) 2

C) 0

D) 3

13 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,0(4)

C) 0,(04)

D) 0,04

14 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 20

C) 10

D) 14

15 / 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) 3

C) 2

D) 1

16 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

17 / 40

Hisoblang:

A) 10/11

B) 19/20

C) 20/21

D) 9/10

18 / 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) 100

C) 25

D) 105

19 / 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

20 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 115

B) 110

C) 116

D) 112

21 / 40

Rasmdagi shakl perimetrini toping.

A) 24

B) 30

C) 28

D) 32

22 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 30°

C) 20°

D) 50°

23 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 2

C) 1

D) 4

24 / 40

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

A) π/4+πk, k∈Z

B) -π/4+πk, k∈Z

C) 0

D) Ø

25 / 40

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

A) 5

B) 10

C) 11

D) 7

26 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) berilganlar yetarli emas

C) 11

D) 121

27 / 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) 8

B) 6

C) 10

D) 12

28 / 40

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

A) 3

B) 5

C) 8

D) -2

29 / 40

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

A) 3

B) 1

C) 2

D) 4

30 / 40

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

A) 14

B) 12

C) 15

D) 13

31 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 1

C) 4

D) 3

32 / 40

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

A) √3ctg40° tg70°

B) √3tg50° tg70°

C) 2√3tg50° tg70°

D) 4 √3tg50° tg70°

33 / 40

Hisoblang:

A) 1/32

B) -√3/2

C) 0

D) -1/2

34 / 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) DC < AD

C) BC > AD

D) AB = BC

35 / 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) 3 yoki –8

C) 6

D) 5 yoki –15

36 / 40

bo‘lsa,