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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

ni 9 ga bo’lgandagi qoldiqning kvadratini toping.

A) 9

B) 25

C) 16

D) 4

2 / 40

tenglamalar sistemasi yechimga ega bo‘ladigan a ning barcha qiymatlari to‘plamini toping.

A) 4

B) 1

C) 3

D) 2

3 / 40

funksiyaning qiymatlar to'plamini toping.

A) [-√2;-1)∪(-1;1)∪(1;√2]

B) [-√2;√2]

C) (-2√2;√2)

D) [-√2;0)∪(0;√2]

4 / 40

Teng yonli trapetsiyaning diagonallari o'zaro perpendikulyar hamda yuzi 32 ga teng bo'lsa, uning diagonali uzunligini toping.

A) 2

B) 6

C) 4

D) 8

5 / 40

Hisoblang?

A) 4

B) 2

C) 0,25

D) 0,5

6 / 40

Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 13

B) 11

C) 14

D) 12

7 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) √5

B) 2,5

C) √6

D) 2,4

8 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 4

B) 6

C) 5

D) 2

9 / 40

f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 4800

B) 5050

C) 3600

D) 600

10 / 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

11 / 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

12 / 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) BD = BC

C) AB = BC

D) BC > AD

13 / 40

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

A) √3ctg40° tg70°

B) √3tg50° tg70°

C) 4 √3tg50° tg70°

D) 2√3tg50° tg70°

14 / 40

Tenglamalar sistemani yeching:

A) (2; 3)

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

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

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

15 / 40

b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 3 yoki –8

B) 4 yoki –12

C) 6

D) 5 yoki –15

16 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 12

C) 10

D) 14

17 / 40

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

A) 10

B) 8

C) 4√7

D) 6√7

18 / 40

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

A) 6

B) 5

C) 7

D) 8

19 / 40

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

A) -2

B) 8

C) 5

D) 3

20 / 40

Chizmadan foydalanib α ni toping.

A) 40°

B) 20°

C) 50°

D) 30°

21 / 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) 2

B) 1

C) 3

D) 4

22 / 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) 35

C) 14

D) 23

23 / 40

Ifodaning qiymatini toping.

A) 0,04

B) 0,(04)

C) 0,0(4)

D) 0,0(2)

24 / 40

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

A) 8(π+2)

B) 32

C) 64

D) 16(π-2)

25 / 40

√3

A) 7/3

B) 5/5

C) 21/10

D) 3/2

26 / 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√2

B) 3√2

C) 6

D) 4√3

27 / 40

Hisoblang:

A) -√3/2

B) 0

C) 1/32

D) -1/2

28 / 40

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

A) 42

B) 43

C) 44

D) 45

29 / 40

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

A) 14

B) 15

C) 12

D) 13

30 / 40

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

A) 10

B) 11

C) 5

D) 7

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) 105

D) 100

32 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 11

C) 9

D) 10

33 / 40

Tenglikdan foydalanib a ni toping. (a+b+c+d)·(a-b-c+d)=(a-b+c-d)·(a+b-c-d)

A) 1

B) bd/c

C) bc/d

D) cd/b

34 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 3

C) 1

D) 4

35 / 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) -6

C) -4

D) 5

36 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 2

C) 3

D) 1

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) 32

C) 48

D) 42

38 / 40

bo‘lsa,

A) 2

B) 1

C) 2/3

D) 3/2

39 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) 121

C) 22

D) berilganlar yetarli emas

40 / 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