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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

ni hisoblang.

A) e+1

B) (e+1)/2

C) e-1

D) (e-1)/2

2 / 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) 1

B) 4

C) 3

D) 2

3 / 40

To’g’ri turt burchakning bo’yining perimetriga nisbatini toping.

A) -452/18

B) 3/18

C) 1/2

D) 5/3

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) 2

B) 1

C) 3

D) 4

5 / 40

Tengsizlikni yeching.

A) [-2;1]∪{-3}

B) [-3;-2]

C) [-3;2]∪{1}

D) (-∞;-2]

6 / 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) 0

B) 4

C) 6

D) 2

7 / 40

Shaharlar orasidagi masofa xaritada 5 sm ga teng bo`lsava xaritaning masshtabi 1:4000000 bo`lsa , shaharlar orasidagi haqiqiy masofa qanchaga teng ?

A) 0,2km

B) 200 km

C) 2 km

D) 20 km

8 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 6

B) 9

C) 7

D) 8

9 / 40

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

A) 40°

B) 30°

C) 10°

D) 20°

10 / 40

Yig‘indini toping.

A) 1/6

B) 1/4

C) 1/12

D) 1/9

11 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (4-m)/4

B) (m+4)/4

C) 2/m

D) (m+1)/2

12 / 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) 12

B) 9

C) 7

D) 15

13 / 40

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

A) 7

B) 5

C) 6

D) 8

14 / 40

sonlarini taqqolsang.

A) c

B) a

C) b

D) c

15 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) berilganlar yetarli emas

B) 11

C) 121

D) 22

16 / 40

vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 1

C) 3

D) 2

17 / 40

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

A) bd/c

B) 1

C) cd/b

D) bc/d

18 / 40

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

A) 10

B) 8

C) 15

D) 20

19 / 40

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

A) 14

B) 13

C) 15

D) 12

20 / 40

√3

A) 7/3

B) 5/5

C) 3/2

D) 21/10

21 / 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) 105

B) 25

C) 100

D) 96

22 / 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) 32

D) 64

23 / 40

Hisoblang:

A) 1/32

B) -√3/2

C) -1/2

D) 0

24 / 40

Tenglamani yeching:

A) -6; 5

B) 6; -5

C) -6

D) 5

25 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 4

C) 6

D) 5

26 / 40

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

A) 3

B) 8

C) 5

D) -2

27 / 40

Hisoblang:

A) 10/11

B) 20/21

C) 19/20

D) 9/10

28 / 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) 14

C) 35

D) 24

29 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 4

B) 2

C) 1

D) 3

30 / 40

Tengsizlik nechta butun juft yechimga
ega?

A) 110

B) 115

C) 116

D) 112

31 / 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) 6

C) 4√3

D) 3√2

32 / 40

Tenglamalar sistemani yeching:

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

B) (2; 3)

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

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

33 / 40

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

A) √3tg50° tg70°

B) √3ctg40° tg70°

C) 2√3tg50° tg70°

D) 4 √3tg50° tg70°

34 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 10

C) 12

D) 14

35 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 2√3

B) 4√3

C) 2√2

D) 3√2

36 / 40

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

A) 44

B) 45

C) 43

D) 42

37 / 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) BC > AD

B) BD = BC

C) DC < AD

D) AB = BC

38 / 40

Hisoblang:

A) cos10°

B) 1

C) cos50°

D) sin10°

39 / 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) 6

D) 4 yoki –12

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) 10

B) 8

C) 6

D) 12