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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

Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

A) 24

B) 8

C) 16

D) 32

2 / 40

tengsizlik yechimi bo’la oladigan tub sonlar nechta?

A) 4

B) 2

C) 5

D) 3

3 / 40

x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 48

B) 26

C) 27

D) 32

4 / 40

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

A) 4

B) 1/3

C) 1/5

D) 1/4

5 / 40

Eldor velosipetida 13m/s bilan 3 soniyada 15m tepalikka ko`tarilgan bo`lsa AC kesma uzunligi necha metr?

A) 34

B) 32

C) 40

D) 36

6 / 40

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUB 3-EKUB

B) 1-EKUB 2-EKUK 3-EKUB

C) 1-EKUB 2-EKUB 3-EKUK

D) 1-EKUB 2-EKUK 3-EKUK

7 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 6

B) 5

C) 2

D) 4

8 / 40

x²-n≤0 tengsizlik o‘rinli bo‘ladigan x ning 7 ta butun ildizi bor bo‘lsa. n nechta turli butun qiymat qabul qiladi?

A) 15

B) 9

C) 7

D) 12

9 / 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) 9√5

B) 6√5

C) 8√3

D) 12√3

10 / 40

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

A) -4

B) -√17

C) 4

D) √17

11 / 40

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

A) 15

B) 10

C) 8

D) 20

12 / 40

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

A) 4

B) 3

C) 2

D) 1

13 / 40

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

A) 23

B) 24

C) 35

D) 14

14 / 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) bd/c

D) 1

15 / 40

sonlarini taqqolsang.

A) c

B) c

C) b

D) a

16 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 28

C) 24

D) 32

17 / 40

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

A) 5

B) 6

C) 8

D) 7

18 / 40

Hisoblang:

A) 1

B) cos50°

C) cos10°

D) sin10°

19 / 40

Hisoblang:

A) -1/2

B) 0

C) -√3/2

D) 1/32

20 / 40

Ifodaning qiymatini toping.

A) 0,(04)

B) 0,0(4)

C) 0,0(2)

D) 0,04

21 / 40

Tenglamani yeching:

A) -6; 5

B) -6

C) 5

D) 6; -5

22 / 40

√3

A) 7/3

B) 21/10

C) 3/2

D) 5/5

23 / 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) AB = BC

B) BC > AD

C) BD = BC

D) DC < AD

24 / 40

Hisoblang:

A) 9/10

B) 19/20

C) 10/11

D) 20/21

25 / 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√3

C) 6

D) 4√2

26 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 50°

C) 40°

D) 20°

27 / 40

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

A) 64

B) 32

C) 16(π-2)

D) 8(π+2)

28 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 11

B) 12

C) 9

D) 10

29 / 40

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

A) 8

B) 3

C) 5

D) -2

30 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 12

B) 10

C) 20

D) 14

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) 25

B) 96

C) 100

D) 105

32 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 115

C) 112

D) 110

33 / 40

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

A) 4 √3tg50° tg70°

B) 2√3tg50° tg70°

C) √3tg50° tg70°

D) √3ctg40° tg70°

34 / 40

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

A) 13

B) 14

C) 12

D) 15

35 / 40

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

A) 11

B) 10

C) 7

D) 5

36 / 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) 1

C) 2

D) 4

37 / 40

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

A) 64

B) 48

C) 42

D) 32

38 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 4

C) 1

D) 3

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) 12

B) 6

C) 10

D) 8

40 / 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