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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

Agar a-b+c=10 va bo‘lsa, ac-ab-bc ifodaning qiymatini toping.

A) 16

B) aniqlab bo‘lmaydi

C) 18

D) 20

2 / 40

ni qanoatlantiruvchi yechimlar nechta?

A) 1

B) 3

C) 0

D) 2

3 / 40

y=f(x) funksiya uchun tenglik o'rinli bo'lsa, f(π/4)=?

A) 1/5

B) 4

C) 1/4

D) 1/3

4 / 40

Agar a>0 bo'lsa, funksiyaning vertikal asimptotasini toping.

A) y=1-a

B) x=a

C) x=-a

D) y=-a

5 / 40

Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 5

B) 4

C) 3

D) 6

6 / 40

Hisoblang:

A) 3

B) 4

C) 2

D) 1

7 / 40

Funksiyaning aniqlanish sohasini toping.

A) [-3;2]

B) (-∞;0)∪(0;∞)

C) (-∞;3]∪[2;∞)

D) x∈R

8 / 40

1, 1, 2, 3, 5, 8, 13, … ketma-ketlikning umumiy hadi an bo‘lsa, quyidagilardan qaysi biri to‘g‘ri?

A) 1

B) 3

C) 2

D) 4

9 / 40

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

A) -4

B) 4

C) -√17

D) √17

10 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 5

B) 2

C) 4

D) 1

11 / 40

Tenglamani yeching:

A) -6

B) 6; -5

C) 5

D) -6; 5

12 / 40

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

A) 4

B) 2

C) 1

D) 3

13 / 40

bo‘lsa,

A) 1

B) 2

C) 3/2

D) 2/3

14 / 40

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

A) -2

B) 3

C) 5

D) 8

15 / 40

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

A) -π/4+πk, k∈Z

B) 0

C) Ø

D) π/4+πk, k∈Z

16 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 14

C) 20

D) 10

17 / 40

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

A) 7

B) 8

C) 5

D) 6

18 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 28

C) 32

D) 24

19 / 40

Hisoblang:

A) 1

B) cos10°

C) cos50°

D) sin10°

20 / 40

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

A) 10

B) 15

C) 20

D) 8

21 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,0(4)

C) 0,04

D) 0,(04)

22 / 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) BC > AD

B) DC < AD

C) BD = BC

D) AB = BC

23 / 40

sonlarini taqqolsang.

A) b

B) a

C) c

D) c

24 / 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) 2

C) 1

D) 4

25 / 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) 12

B) 8

C) 6

D) 10

26 / 40

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

A) 64

B) 8(π+2)

C) 32

D) 16(π-2)

27 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 3

C) 4

D) 1

28 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 4

C) 1

D) 3

29 / 40

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

A) 44

B) 43

C) 45

D) 42

30 / 40

√3

A) 5/5

B) 7/3

C) 3/2

D) 21/10

31 / 40

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

A) 7

B) 10

C) 11

D) 5

32 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 10

B) 11

C) 12

D) 9

33 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 40°

C) 30°

D) 50°

34 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 22

C) 121

D) 11

35 / 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) cd/b

C) bc/d

D) 1

36 / 40

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

A) 15

B) 14

C) 13

D) 12

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) 25

C) 96

D) 105

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√3

B) 3√2

C) 4√2

D) 6

39 / 40

Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.