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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

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 60

B) 59

C) 61

D) 58

2 / 40

Qayiq daryo oqimga qarshi 48 km va oqim bo‘yicha ham shuncha yo‘l bosib, butun yo‘lga 5 soat vaqt sarfladi. Daryo oqimining tezligi 4 km/soat bo‘lsa, qayiqning xususiy tezligini toping.

A) 25

B) 20

C) 22

D) 18

3 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 450,608

B) 45,0608

C) 4506,08

D) 40560,8

4 / 40

f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)=x²-x+5

B) f(x)=x²-4

C) f(x)+2x²-1

D) f(x)=x²+3x+7

5 / 40

Usta ishning 0,75 qismini 17/4 soatda bajaradi. Shu ishning 4/5 qismini qancha vaqtda bajaradi?

A) 11/5

B) 31/85

C) 67/15

D) 68/15

6 / 40

Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) √6+√14

B) 18

C) 16

D) 2√14+√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

DC||AB , ∠DCE=45°,∠CEA=x va ∠EAB=115° ga tengbo`lsa x ni toping ?

A) 100°

B) 120°

C) 130°

D) 110°

9 / 40

Quyidagi berilgan qoldiqli bo`lishlardan qaysi biri to`g`ribajarilgan ?
a)76 : 9 = 7 (qoldiq 13);
b)20 : 7 = 2 (qoldiq 6);
d)54 : 15 = 4 (qoldiq 1)

A) a,b

B) b

C) b,d

D) )a,b,d

10 / 40

Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.

A) 10

B) 6

C) 8

D) 9

11 / 40

Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) dastlab o‘sadi, keyin kamayadi

B) dastlab kamayadi, keyin o‘sadi

C) qat’iy kamayuvchi

D) qat’iy o‘suvchi

12 / 40

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

A) -√17

B) √17

C) -4

D) 4

13 / 40

√3

A) 7/3

B) 5/5

C) 3/2

D) 21/10

14 / 40

Kvadratlarning yuzlari yig‘indisini toping.

A) 22

B) berilganlar yetarli emas

C) 121

D) 11

15 / 40

Rasmdagi shakl perimetrini toping.

A) 32

B) 24

C) 30

D) 28

16 / 40

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

A) 4

B) 1

C) 3

D) 2

17 / 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) 4

B) 3

C) 1

D) 2

18 / 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) 35

C) 24

D) 14

19 / 40

Chizmadan foydalanib α ni toping.

A) 20°

B) 40°

C) 50°

D) 30°

20 / 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) 42

D) 48

21 / 40

Tenglamani yeching:

A) -6; 5

B) -6

C) 6; -5

D) 5

22 / 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) -6

B) 5

C) -3

D) -4

23 / 40

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

A) 15

B) 8

C) 10

D) 20

24 / 40

Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 3

B) 2

C) 4

D) 1

25 / 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) 96

D) 100

26 / 40

a+b+c=10, bo‘lsa, ni toping.

A) 5

B) 11

C) 6

D) 4

27 / 40

x²-√11x+1=0 0 bo‘lsa,

A) 9

B) 11

C) 12

D) 10

28 / 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) DC < AD

C) AB = BC

D) BD = BC

29 / 40

Ifodaning qiymatini toping.

A) 0,0(4)

B) 0,0(2)

C) 0,04

D) 0,(04)

30 / 40

Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 14

B) 12

C) 20

D) 10

31 / 40

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

A) 11

B) 10

C) 5

D) 7

32 / 40

Hisoblang:

A) 1/32

B) 0

C) -√3/2

D) -1/2

33 / 40

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

A) √3tg50° tg70°

B) 4 √3tg50° tg70°

C) √3ctg40° tg70°

D) 2√3tg50° tg70°

34 / 40

Sonlarining o‘rta geometrik qiymatini toping.

A) 4√3

B) 2√2

C) 3√2

D) 2√3

35 / 40

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

A) 6√7

B) 10

C) 8

D) 4√7

36 / 40

Hisoblang:

A) 20/21

B) 10/11

C) 9/10

D) 19/20

37 / 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) 12

C) 6

D) 8

38 / 40

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

A) 45

B) 44

C) 43

D) 42

39 / 40

sonlarini taqqolsang.