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Matematika attestatsiya №6

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Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

y=kx+n funksiyaning grafigi I va III chorakdan o‘tishi uchun k va n qanday bo‘lishi kerak?

A) n < 0, k = 0

B) n > 0, k = 0

C) n = 0, k > 0

D) n = 0, k < 0

2 / 40

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) c>a>b

B) b>a>c

C) a>b>c

D) a>c>b

3 / 40

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

A) (0; ∞)

B) (-1; ∞)

C) (-2; ∞)

D) [-1; ∞)

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) 6

B) 25/3

C) 35/6

D) 8

5 / 40

n ning qanday qiymatida tenglik to`g`ri bo’ladi? (7³)=7¹⁵

A) 1

B) 12

C) 5

D) 7

6 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 9

B) 8

C) 6

D) 7

7 / 40

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

A) 0,288

B) 0,216

C) 0,432

D) 0,144

8 / 40

108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 3

B) 1

C) 4

D) 2

9 / 40

Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) -√17

B) 4

C) √17

D) -4

10 / 40

tenglama intervalda nechta ildizga ega?

A) 4

B) 2

C) 1

D) 3

11 / 40

Tenglamani yeching:

A) -6; 5

B) 5

C) 6; -5

D) -6

12 / 40

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

A) 3

B) -2

C) 8

D) 5

13 / 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

14 / 40

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

A) 42

B) 32

C) 48

D) 64

15 / 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) 5

B) -6

C) -3

D) -4

16 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) 11

C) berilganlar yetarli emas

D) 121

17 / 40

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

A) 45

B) 42

C) 43

D) 44

18 / 40

bo‘lsa,

A) 2

B) 2/3

C) 1

D) 3/2

19 / 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

20 / 40

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

A) √3ctg40° tg70°

B) 4 √3tg50° tg70°

C) 2√3tg50° tg70°

D) √3tg50° tg70°

21 / 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) 105

D) 25

22 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 2√3

C) 2√2

D) 4√3

23 / 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) 3

B) 4

C) 2

D) 1

24 / 40

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

A) 8

B) 5

C) 6

D) 7

25 / 40

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

A) 8

B) 10

C) 20

D) 15

26 / 40

Rasmdagi shakl perimetrini toping.

A) 28

B) 24

C) 30

D) 32

27 / 40

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

A) 13

B) 15

C) 14

D) 12

28 / 40

√3

A) 21/10

B) 3/2

C) 5/5

D) 7/3

29 / 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) 8

C) 6

D) 12

30 / 40

Tenglamalar sistemani yeching: