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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*cos5x

C) -16cos3x*sin5x

D) 16sin3x*cos5x

2 / 40

$y^4+9x^2-4y^2-30x+29=0$ tenglikni qanoatlantiruvchi x va y sonlari uchun 19y²+99x ni toping.

A) 289

B) 201

C) 203

D) 200

3 / 40

funksiyaning eng kichik musbat davrini toping.

A) 12

B) 18

C) 26

D) 24

4 / 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

5 / 40

f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) (-2; ∞)

B) (-1; ∞)

C) (0; ∞)

D) [-1; ∞)

6 / 40

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) √6+√14

B) 2√14+√6

C) 18

D) 16

7 / 40

x ni toping ?

A) 6

B) 4

C) 5

D) 3

8 / 40

AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

A) 10°

B) 20°

C) 40°

D) 30°

9 / 40

Hisoblang?

A) 0,5

B) 2

C) 0,25

D) 4

10 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 8

B) 10

C) berilganlar yetarli emas

D) 6

11 / 40

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

A) 9

B) 1

C) 0

D) 5

12 / 40

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

A) 0,144

B) 0,216

C) 0,432

D) 0,288

13 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 1

B) 4

C) 2

D) 3

14 / 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) 10

C) 6

D) 12

15 / 40

Rasmdagi shakl perimetrini toping.

A) 28

B) 24

C) 32

D) 30

16 / 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) 35

C) 24

D) 23

17 / 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) 42

C) 64

D) 48

18 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 11

C) 12

D) 9

19 / 40

√3

A) 21/10

B) 3/2

C) 7/3

D) 5/5

20 / 40

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

A) -π/4+πk, k∈Z

B) 0

C) π/4+πk, k∈Z

D) Ø

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) 4

B) 1

C) 2

D) 3

22 / 40

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

A) 5 yoki –15

B) 6

C) 3 yoki –8

D) 4 yoki –12

23 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,(04)

C) 0,0(2)

D) 0,04

24 / 40

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

A) 6

B) 5

C) 8

D) 7

25 / 40

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

A) 7

B) 5

C) 10

D) 11

26 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) 11

C) 121

D) berilganlar yetarli emas

27 / 40

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

A) 16(π-2)

B) 8(π+2)

C) 64

D) 32

28 / 40

Chizmadan foydalanib α ni toping.

A) 50°

B) 40°

C) 20°

D) 30°

29 / 40

Hisoblang:

A) 0

B) 1/32

C) -1/2

D) -√3/2

30 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 112

B) 116

C) 110

D) 115

31 / 40

Tenglamani yeching:

A) -6

B) 6; -5

C) 5

D) -6; 5

32 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 5

C) 4

D) 11

33 / 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

34 / 40

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

A) 45

B) 44

C) 42

D) 43

35 / 40

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

A) 2

B) 1

C) 3

D) 4

36 / 40

Hisoblang:

A) 20/21

B) 19/20

C) 10/11

D) 9/10

37 / 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) 105

C) 25

D) 96

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) 4√2

B) 4√3

C) 6

D) 3√2

39 / 40

sonlarini taqqolsang.