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Matematika attestatsiya №6

InfoMaster

Yanvar 30, 2022

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Matematika fanidan attestatsiya savollari №6

1 / 40

ko’paytmani hisoblang.

A) 86420000

B) 480000

C) 0

D) 10000

2 / 40

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) b>a>c

B) c>a>b

C) a>b>c

D) a>c>b

3 / 40

P(-2;2) nuqtadan o'tuvchi va a(6;4)a vektorga perpendikulyar bo'lgan to'g'ri chiziq tenglamasini toping.

A) 3x-2y+2=0

B) 3x+2y+2=0

C) 3x-2y-2=0

D) 3x+2y-2=0

4 / 40

Qadam uzunligi deb biricnhi iz tovon oxiridan ikkinchi iz tovon oxirigacha bo'lgan masofaga aytiladi. Erkak kishi yurayotganda uning qadami va qadamlar soni orasidagi bog'lanish quyidagi formula bilan ifodalanadi: (n/P) = 140. Bu yerda n – bir minutdagi qadamlar soni. P – qadam uzunligi (m). Hikmat 1 minutda 70 qadam bossa, formula yordamida uning qadami uzunligini toping.

A) 0,6 m yoki 60 cm

B) 0,7 m yoki 70 cm

C) 0,9 m yoki 90 cm

D) 0,5 m yoki 50 cm

5 / 40

Soddalashtiring:

A) Aniqlab bo`lmaydi

B) 1

C) 3

D) 2

6 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 1

B) 3

C) 4

D) 2

7 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 96π

B) 192π

C) 72π

D) 144π

8 / 40

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

A) 1

B) 5

C) 4

D) 2

9 / 40

ni hisoblang.

A) 0

B) 1

C) 3

D) 2

10 / 40

Hisoblang:

A) 0

B) 6

C) 4

D) 8

11 / 40

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

A) 15

B) 12

C) 13

D) 14

12 / 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°

13 / 40

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

A) 16(π-2)

B) 32

C) 64

D) 8(π+2)

14 / 40

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

A) 42

B) 48

C) 64

D) 32

15 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 10

C) 14

D) 12

16 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 2

B) 4

C) 3

D) 1

17 / 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) BC > AD

D) BD = BC

18 / 40

Rasmdagi shakl perimetrini toping.

A) 30

B) 32

C) 24

D) 28

19 / 40

Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,0(4)

C) 0,04

D) 0,(04)

20 / 40

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

A) 3

B) 5

C) 8

D) -2

21 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 3

C) 1

D) 4

22 / 40

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

A) Ø

B) 0

C) π/4+πk, k∈Z

D) -π/4+πk, k∈Z

23 / 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) 105

C) 100

D) 25

24 / 40

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

A) 8

B) 20

C) 10

D) 15

25 / 40

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

A) 7

B) 10

C) 11

D) 5

26 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 116

B) 112

C) 115

D) 110

27 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 121

B) 11

C) 22

D) berilganlar yetarli emas

28 / 40

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

A) 4

B) 3

C) 2

D) 1

29 / 40

bo‘lsa,

A) 1

B) 3/2

C) 2/3

D) 2

30 / 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) 1

C) cd/b

D) bd/c

31 / 40

√3

A) 21/10

B) 7/3

C) 5/5

D) 3/2

32 / 40

Tenglamalar sistemani yeching:

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

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

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

D) (2; 3)

33 / 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) 8

B) 10

C) 12

D) 6

34 / 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) -4

B) -6

C) 5

D) -3

35 / 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) 5 yoki –15

C) 4 yoki –12

D) 6

36 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 5

B) 11

C) 4

D) 6

37 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 4√3

C) 2√2

D) 3√2

38 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 12

B) 9

C) 10

D) 11

39 / 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) 4√3

C) 3√2

D) 6

40 / 40

Hisoblang:

A) -1/2

B) 1/32

C) 0

D) -√3/2

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