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Matematika attestatsiya №4

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Yanvar 21, 2022

43 Ko'rishlar 1 izoh

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1 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №4

1 / 40

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

A) 11

B) 4

C) 35

D) 12

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

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) a>b>c

B) a>c>b

C) c>a>b

D) b>a>c

4 / 40

Agar bo'lsa, x ni toping.

A) -5

B) -2

C) 5

D) 2

5 / 40

Teng yonli trapetsiya asosidagi burchakning sinusi 0,6 ga, asoslarining ayirmasi 4 ga teng bo‘lsa, trapetsiyaning yon tomonini toping.

A) 4

B) 3

C) 2

D) 2,5

6 / 40

Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 96

B) 114

C) 108

D) 126

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) 2

C) √3

D) 1

8 / 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

9 / 40

Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 6

B) 5,75

C) 13

D) 9,25

10 / 40

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

A) 4

B) 8

C) 6

D) 2

11 / 40

Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 14

B) 12

C) 11

D) 13

12 / 40

Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUK 3-EKUB

B) 1-EKUB 2-EKUK 3-EKUK

C) 1-EKUB 2-EKUB 3-EKUB

D) 1-EKUB 2-EKUB 3-EKUK

13 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 99

B) 100

C) 101

D) 98

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) b

B) )a,b,d

C) b,d

D) a,b

15 / 40

Soddalashtiring:

A) Aniqlab bo`lmaydi

B) 1

C) 2

D) 3

16 / 40

Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) 1,5R

B) R(√3-√2)

C) 3R

D) √3R(2-√3)

17 / 40

Integralni hisoblang:

A) 3

B) 1

C) 4

D) 2

18 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 52

B) 40

C) 28

D) 48

19 / 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) 9

B) 15

C) 7

D) 12

20 / 40

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

A) 1/2

B) 5/6

C) 8/15

D) 1/3

21 / 40

Funksiyaning aniqlanish sohasini toping.

A) x∈R

B) (-∞;3]∪[2;∞)

C) (-∞;0)∪(0;∞)

D) [-3;2]

22 / 40

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

A) 48

B) 64

C) 16

D) 32

23 / 40

Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 41

B) 32

C) 50

D) 25

24 / 40

Yig‘indini toping.

A) 1/4

B) 1/6

C) 1/9

D) 1/12

25 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 3

B) 4

C) 2

D) 1

26 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 5

B) 6

C) 4

D) 2

27 / 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 kamayadi, keyin o‘sadi

D) dastlab o‘sadi, keyin kamayadi

28 / 40

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

A) 8

B) 9

C) 10

D) 6

29 / 40

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

A) 5

B) 0

C) 1

D) 9

30 / 40

ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 138°

B) 135°

C) 142°

D) 132°

31 / 40

tenglama intervalda nechta ildizga ega?

A) 1

B) 4

C) 2

D) 3

32 / 40

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

A) -√17

B) √17

C) 4

D) -4

33 / 40

ni hisoblang.

A) 0

B) 1

C) 2

D) 3

34 / 40

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

A) 600

B) 4800

C) 3600

D) 5050

35 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 3

B) 6

C) 12

D) 9

36 / 40

Tenglamani yeching:

A) 6/5

B) 9/5

C) 5/9

D) 5*4

37 / 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) 24°

B) 7°

C) 17°

D) 14°

38 / 40

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

A) 0

B) 25

C) 10

D) 30

39 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.