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Matematika attestatsiya №4

InfoMaster

Yanvar 21, 2022

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1 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №4

1 / 40

ni 9 ga bo’lgandagi qoldiqning kvadratini toping.

A) 25

B) 16

C) 9

D) 4

2 / 40

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

A) 4

B) 1

C) 2

D) 3

3 / 40

Agar $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 4

B) 11

C) 35

D) 12

4 / 40

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 61

B) 59

C) 58

D) 60

5 / 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) 22

B) 20

C) 25

D) 18

6 / 40

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

A) f(x)=x²-4

B) f(x)+2x²-1

C) f(x)=x²+3x+7

D) f(x)=x²-x+5

7 / 40

Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) 2

B) √3

C) 1

D) √2

8 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 2

B) 3

C) 1

D) 4

9 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 7,5

B) 4,5

C) 4

D) 3

10 / 40

a va b musbat sonlari uchun a^lnb·b^lna+a^lnb+b^lnabo'lsa, (lna)·(lnb)=?

A) ln4

B) ln3

C) ln5

D) ln2

11 / 40

Quyida berilgan shakillar ichidagi sonlar yig`indisi nolgateng bo`lishi uchun . Nechanchi shakilni olib tashlash kerak?

A) 3

B) 4

C) 1

D) 2

12 / 40

Hisoblang?

A) 0,25

B) 2

C) 0,5

D) 4

13 / 40

Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 64/5

B) 16

C) 10

D) 48/5

14 / 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,d

B) a,b

C) b

D) b,d

15 / 40

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

A) 110°

B) 120°

C) 130°

D) 100°

16 / 40

ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 56/65

B) 48/65

C) 36/65

D) 40/63

17 / 40

Integralni hisoblang:

A) 4

B) 3

C) 1

D) 2

18 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;3]∪[2;∞)

B) [-3;2]

C) (-∞;0)∪(0;∞)

D) x∈R

19 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 25

B) 0

C) 30

D) 10

20 / 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) qat’iy o‘suvchi

B) qat’iy kamayuvchi

C) dastlab o‘sadi, keyin kamayadi

D) dastlab kamayadi, keyin o‘sadi

21 / 40

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

A) 0,144

B) 0,288

C) 0,432

D) 0,216

22 / 40

Yig‘indini toping.

A) 1/6

B) 1/12

C) 1/4

D) 1/9

23 / 40

Tenglamani yeching:

A) 5/9

B) 9/5

C) 6/5

D) 5*4

24 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (m+1)/2

B) 2/m

C) (m+4)/4

D) (4-m)/4

25 / 40

a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 1/3

B) 1/2

C) 5/6

D) 8/15

26 / 40

108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 1

B) 4

C) 2

D) 3

27 / 40

sin a = x va 1+cos a= y bo‘lsa, x va y o‘zaro qanday bog‘langan?

A) 4

B) 2

C) 1

D) 3

28 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) 1/8

B) √3/4

C) √2/8

D) √3/8

29 / 40

x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 32

B) 64

C) 48

D) 16

30 / 40

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

A) 4800

B) 5050

C) 600

D) 3600

31 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 52

B) 40

C) 28

D) 48

32 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 9

B) 3

C) 12

D) 6

33 / 40

2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 9

B) 1

C) 5

D) 0

34 / 40

Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 6√5

B) 12√3

C) 8√3

D) 9√5

35 / 40

1, 1, 2, 3, 5, 8, 13, … ketma-ketlikning umumiy hadi an bo‘lsa, quyidagilardan qaysi biri to‘g‘ri?

A) 1

B) 4

C) 2

D) 3

36 / 40

To‘g‘ri burchakli uchburchakning bir burchagi 52° ga teng bo‘lsa, to‘g‘ri burchak uchidan tushirilgan balandlik va mediana orasidagi burchakni toping.

A) 14°

B) 17°

C) 7°

D) 24°

37 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.