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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

tengsizlikni yeching.

A) x∈(-5;1)

B) x∈(-3;1)

C) x∈(-∞;5)

D) x∈(-∞;5)∪(-3;1)

2 / 40

Agar ni hisoblang.

A) Cheksiz

B) 0

C) 8

D) 9

3 / 40

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

A) 1/3

B) 1/5

C) 1/4

D) 4

4 / 40

P(x), Q(x) va R(x) ko'phatdalar berilgan. Bunda P(x) ko'phadning odoz hadi Q(x) ko'phadning ozod hadidan ikki marta katta va P(0)≠0. P(x)=Q(x)·R(x+1) bo'lsa, R(x) ko'phadning koeffitsiyentlarining yig'indisini toping.

A) 1

B) 2

C) 3

D) 4

5 / 40

Hisoblang:

A) 2

B) 1

C) 4

D) 3

6 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 9

B) 8

C) 7

D) 6

7 / 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) 6√5

B) 9√5

C) 8√3

D) 12√3

8 / 40

ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 36/65

B) 48/65

C) 40/63

D) 56/65

9 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 30

B) 10

C) 0

D) 25

10 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 132°

B) 142°

C) 138°

D) 135°

11 / 40

bo‘lsa,

A) 2/3

B) 1

C) 2

D) 3/2

12 / 40

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

A) 5

B) 11

C) 10

D) 7

13 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 10

C) 11

D) 9

14 / 40

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

A) 0

B) π/4+πk, k∈Z

C) -π/4+πk, k∈Z

D) Ø

15 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 1

C) 2

D) 3

16 / 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) 1

D) 2

17 / 40

Tenglamani yeching:

A) -6; 5

B) -6

C) 6; -5

D) 5

18 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 28

C) 24

D) 30

19 / 40

Hisoblang:

A) cos50°

B) sin10°

C) 1

D) cos10°

20 / 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) 6

B) 12

C) 8

D) 10

21 / 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) 3√2

B) 4√2

C) 6

D) 4√3

22 / 40

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

A) -2

B) 3

C) 5

D) 8

23 / 40

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

A) 45

B) 42

C) 44

D) 43

24 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 10

B) 14

C) 12

D) 20

25 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 4

B) 6

C) 11

D) 5

26 / 40

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

A) 4√7

B) 6√7

C) 8

D) 10

27 / 40

√3

A) 7/3

B) 3/2

C) 5/5

D) 21/10

28 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,04

C) 0,0(2)

D) 0,0(4)

29 / 40

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

A) 13

B) 12

C) 15

D) 14

30 / 40

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

A) 2√3tg50° tg70°

B) √3ctg40° tg70°

C) √3tg50° tg70°

D) 4 √3tg50° tg70°

31 / 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) 96

D) 25

32 / 40

Hisoblang:

A) 10/11

B) 19/20

C) 20/21

D) 9/10

33 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

34 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) 22

C) 121

D) berilganlar yetarli emas

35 / 40

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

A) 8(π+2)

B) 32

C) 64

D) 16(π-2)

36 / 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) AB = BC

C) BD = BC

D) BC > AD

37 / 40

Tengsizlik nechta butun juft yechimga
ega?