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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

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 60

B) 58

C) 59

D) 61

2 / 40

Agar ning qiymatini toping.

A) 3

B) 23/25

C) 23/75

D) 75/23

3 / 40

Abdulla, Samandar va Jamshid 3 ta stulga necha xil usulda utirishi mumkin?

A) 6

B) 7

C) 27

D) 9

4 / 40

a va b musbat sonlari uchun a^lnb·b^lna+a^lnb+b^lnabo'lsa, (lna)·(lnb)=?

A) ln3

B) ln2

C) ln5

D) ln4

5 / 40

Hisoblang:

A) 9

B) 4

C) 7

D) 27

6 / 40

tenglamani yeching.

A) 3

B) log(3/5)2

C) log(5/3)2

D) 5

7 / 40

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

A) 120°

B) 100°

C) 130°

D) 110°

8 / 40

Soddalshtiring.

A) -1

B) 2

C) 1

D) 6

9 / 40

Soddalashtiring.

A) (a-1)/(1-b)

B) (a+1)/(-a-3)

C) (a-1)/(a-3)

D) (b+2)/(1-b)

10 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 12√3

B) 6√5

C) 8√3

D) 9√5

11 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 8/15

B) 5/6

C) 1/3

D) 1/2

12 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 5

B) 4

C) 2

D) 6

13 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 12

C) 10

D) 20

14 / 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

15 / 40

sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 24

B) 14

C) 35

D) 23

16 / 40

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

A) 5

B) 11

C) 10

D) 7

17 / 40

Tenglamani yeching:

A) -6; 5

B) 6; -5

C) -6

D) 5

18 / 40

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

A) Ø

B) π/4+πk, k∈Z

C) 0

D) -π/4+πk, k∈Z

19 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 2√2

C) 4√3

D) 3√2

20 / 40

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

A) 3

B) -2

C) 8

D) 5

21 / 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) 3 yoki –8

C) 5 yoki –15

D) 4 yoki –12

22 / 40

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

A) 12

B) 14

C) 13

D) 15

23 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 50°

C) 30°

D) 20°

24 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

25 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 11

C) 10

D) 9

26 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 1

C) 2

D) 4

27 / 40

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

A) 20

B) 15

C) 10

D) 8

28 / 40

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

A) 6

B) 8

C) 7

D) 5

29 / 40

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

A) 3

B) 1

C) 4

D) 2

30 / 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) 6

B) 4√2

C) 3√2

D) 4√3

31 / 40

√3

A) 7/3

B) 5/5

C) 21/10

D) 3/2

32 / 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

33 / 40

sonlarini taqqolsang.

A) c

B) a

C) c

D) b

34 / 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) √3tg50° tg70°

D) 2√3tg50° tg70°

35 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 1

B) 3

C) 2

D) 4

36 / 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) -3

B) -4

C) -6

D) 5

37 / 40

Hisoblang:

A) cos50°

B) 1

C) sin10°

D) cos10°

38 / 40

Ifodaning qiymatini toping.

A) 0,04

B) 0,(04)

C) 0,0(2)

D) 0,0(4)

39 / 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) 6

C) 8

D) 12

40 / 40

Tengsizlik nechta butun juft yechimga
ega?