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Matematika attestatsiya №4

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Yanvar 21, 2022

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Matematika fanidan attestatsiya savollari №4

1 / 40

y=kx+n funksiyaning grafigi I va III chorakdan o‘tishi uchun k va n qanday bo‘lishi kerak?

A) n = 0, k < 0

B) n < 0, k = 0

C) n > 0, k = 0

D) n = 0, k > 0

2 / 40

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

A) 3

B) 2

C) 2,5

D) 4

3 / 40

ko’paytmani hisoblang.

A) 10000

B) 480000

C) 0

D) 86420000

4 / 40

Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) a>c>b

B) b>a>c

C) c>a>b

D) a>b>c

5 / 40

Merganning nishonga tekkizish ehtimoli 0,8 ga teng. U ishonga 2 marta o‘q uzganda o‘qlardan biri nishonga tegishining ehtimolligini toping.

A) 0,16

B) 0,8

C) 0,32

D) 0,5

6 / 40

Qadam uzunligi deb biricnhi iz tovon oxiridan ikkinchi iz tovon oxirigacha bo'lgan masofaga aytiladi. Erkak kishi yurayotganda uning qadami va qadamlar soni orasidagi bog'lanish quyidagi formula bilan ifodalanadi: (n/P) = 140. Bu yerda n – bir minutdagi qadamlar soni. P – qadam uzunligi (m). Hikmat 1 minutda 70 qadam bossa, formula yordamida uning qadami uzunligini toping.

A) 0,9 m yoki 90 cm

B) 0,5 m yoki 50 cm

C) 0,6 m yoki 60 cm

D) 0,7 m yoki 70 cm

7 / 40

Tengsizlikni yeching.

A) [-3;2]∪{1}

B) [-2;1]∪{-3}

C) (-∞;-2]

D) [-3;-2]

8 / 40

Agar a>0 bo'lsa, funksiyaning vertikal asimptotasini toping.

A) x=-a

B) y=-a

C) y=1-a

D) x=a

9 / 40

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

A) 67/15

B) 68/15

C) 11/5

D) 31/85

10 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 7,5

B) 4,5

C) 3

D) 4

11 / 40

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

A) 14

B) 11

C) 13

D) 12

12 / 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) (32π)/3

C) (28π)/3

D) 11π

13 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 98

B) 99

C) 100

D) 101

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) b

C) b,d

D) a,b

15 / 40

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

A) 2

B) 4

C) 1

D) 3

16 / 40

A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 90

B) 120

C) 100

D) 80

17 / 40

Tenglamani yeching:

A) 5*4

B) 5/9

C) 6/5

D) 9/5

18 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) 2/m

B) (m+4)/4

C) (4-m)/4

D) (m+1)/2

19 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 48

B) 52

C) 40

D) 28

20 / 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) 12√3

B) 9√5

C) 8√3

D) 6√5

21 / 40

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

A) 132°

B) 142°

C) 135°

D) 138°

22 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 10

B) berilganlar yetarli emas

C) 8

D) 6

23 / 40

ni hisoblang.

A) 3

B) 1

C) 2

D) 0

24 / 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

25 / 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) √3R(2-√3)

B) 1,5R

C) R(√3-√2)

D) 3R

26 / 40

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

A) 3

B) 1

C) 2

D) 4

27 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/8

B) √3/4

C) √2/8

D) 1/8

28 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 4

B) 2

C) 1

D) 3

29 / 40

tenglama intervalda nechta ildizga ega?

A) 1

B) 2

C) 3

D) 4

30 / 40

Integralni hisoblang:

A) 3

B) 2

C) 1

D) 4

31 / 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 kamayuvchi

B) dastlab kamayadi, keyin o‘sadi

C) dastlab o‘sadi, keyin kamayadi

D) qat’iy o‘suvchi

32 / 40

7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 2

B) 5

C) 1

D) 4

33 / 40

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

A) -4

B) 4

C) -√17

D) √17

34 / 40

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

A) 50

B) 32

C) 25

D) 41

35 / 40

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

A) 16

B) 64

C) 48

D) 32

36 / 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

37 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 0

B) 1

C) 5

D) 8

38 / 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) 7°

B) 14°

C) 24°

D) 17°

39 / 40

Radiusi 25/4 bo‘lgan sferaga balandligi 8 ga teng bo‘lgan konus ichki chizilgan. Konusning hajmini toping.

A) 144π

B) 72π

C) 192π

D) 96π

40 / 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?