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Matematika attestatsiya №5

InfoMaster

Yanvar 24, 2022

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2 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №5

1 / 40

Kichchik diagonali tomoniga teng bo’lgan rombga , tomoni diametr qilib yarim doira va uning ichiga romb tomoniga hamda yarim doiraga urunuvchi aylana chizilgan . Agar romb tomoni 8 bo’lsa aylana markazidan diagonallar kesishish nuqtasigacha bo’lgan masofani toping.

A) 2

B) 3

C) 1

D) 4

2 / 40

$cos6x-4cos2x<0$ tengsizlikni yeching.

A) 2

B) 4

C) 1

D) 3

3 / 40

ni 9 ga bo’lgandagi qoldiqning kvadratini toping.

A) 25

B) 16

C) 4

D) 9

4 / 40

Hisoblang:

A) 7

B) 27

C) 4

D) 9

5 / 40

a va b raqamlar yig'indisi 7 ga qoldiqsiz bo'linadi. Agar ko'rinishdagi uch xonali sonlarning 7 ga bo'lganda bir xil qoldiq qolsa, shu qoldiqni toping.

A) 2

B) 6

C) 0

D) 4

6 / 40

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

A) 8

B) 4

C) 2

D) 6

7 / 40

AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

A) 20°

B) 30°

C) 40°

D) 10°

8 / 40

Quyidagi rasmda konus va silindr zaytun moyi bilanto`ldirilmoqda . Ikkala shaklning balandliklari va taglik doiralarining radiuslari teng uzunlikda 2sm . Shunga ko`ra idishga jami necha ?m³

A) (29π)/3

B) 11π

C) (32π)/3

D) (28π)/3

9 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 8

B) 9

C) 6

D) 7

10 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 4

B) 6

C) 5

D) 2

11 / 40

Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,144

B) 0,216

C) 0,432

D) 0,288

12 / 40

Agar bo‘lsa, m/n ni toping.

A) 3

B) 2

C) (1+√5)/2

D) 4

13 / 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) 1

B) 2

C) 4

D) 3

14 / 40

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

A) 44

B) 43

C) 45

D) 42

15 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) 121

C) berilganlar yetarli emas

D) 22

16 / 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

17 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 30

C) 24

D) 28

18 / 40

Hisoblang:

A) -1/2

B) -√3/2

C) 0

D) 1/32

19 / 40

Ifodaning qiymatini toping.

A) 0,04

B) 0,(04)

C) 0,0(2)

D) 0,0(4)

20 / 40

Chizmadan foydalanib α ni toping.

A) 30°

B) 40°

C) 50°

D) 20°

21 / 40

sonlarini taqqolsang.

A) b

B) c

C) a

D) c

22 / 40

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

A) -π/4+πk, k∈Z

B) Ø

C) 0

D) π/4+πk, k∈Z

23 / 40

√3

A) 21/10

B) 3/2

C) 7/3

D) 5/5

24 / 40

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

A) 14

B) 15

C) 13

D) 12

25 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 1

C) 4

D) 2

26 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 3

B) 4

C) 1

D) 2

27 / 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

28 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 14

C) 12

D) 10

29 / 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) 5

C) -3

D) -6

30 / 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) 6

B) 3√2

C) 4√3

D) 4√2

31 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 6

B) 4

C) 5

D) 11

32 / 40

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

A) 32

B) 64

C) 48

D) 42

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) 12

B) 8

C) 10

D) 6

34 / 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°

35 / 40

Sonlarining o‘rta geometrik qiymatini toping.