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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

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

A) 2

B) 2,5

C) 4

D) 3

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) 22

B) 20

C) 18

D) 25

3 / 40

y=4cos 2x+cos8x funksiyaning hosilasini toping

A) 16cos3x*cos5x

B) 16sin3x*sin5x

C) -16cos3x*sin5x

D) 16sin3x*cos5x

4 / 40

Muntazam oltiburchakning tomoni 2√6 ga teng. Shu ko‘pburchakka tengdosh bo‘lgan teng tomonli uchburchakning tomonini toping.

A) 12

B) 24

C) 30

D) 18

5 / 40

|x+1|=2|x–2| tenglamaning ildizlari yig’indisini toping.

A) 0

B) 6

C) 7

D) 5

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) 4

B) 6

C) 0

D) 2

7 / 40

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

A) 6

B) 4

C) 8

D) 2

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

1·2·3· ... ·30 ko'paytmani tub ko'paytuvchilarga ajratganda ko'apytmada 2ⁿ, 3^m va 7^k lar ishtirok etsa, n+m+k ni toping.

A) 50

B) 44

C) 46

D) 40

10 / 40

Tengsizlikni yeching.

A) [-2;1]∪{-3}

B) [-3;2]∪{1}

C) (-∞;-2]

D) [-3;-2]

11 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 99

B) 98

C) 100

D) 101

12 / 40

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

A) 16

B) 48/5

C) 64/5

D) 10

13 / 40

Soddalashtiring.

A) (b+2)/(1-b)

B) (a+1)/(-a-3)

C) (a-1)/(1-b)

D) (a-1)/(a-3)

14 / 40

Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 1

B) 2

C) 4

D) 3

15 / 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

C) b,d

D) )a,b,d

16 / 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

17 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) 2/m

B) (4-m)/4

C) (m+4)/4

D) (m+1)/2

18 / 40

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

A) 138°

B) 132°

C) 135°

D) 142°

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) 7

B) 12

C) 15

D) 9

20 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 8

B) 5

C) 1

D) 0

21 / 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

22 / 40

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

A) 0,432

B) 0,144

C) 0,216

D) 0,288

23 / 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 kamayadi, keyin o‘sadi

B) qat’iy kamayuvchi

C) dastlab o‘sadi, keyin kamayadi

D) qat’iy o‘suvchi

24 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 9

B) 6

C) 12

D) 3

25 / 40

Agar bo‘lsa, m/n ni toping.

A) (1+√5)/2

B) 3

C) 2

D) 4

26 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 52

B) 48

C) 28

D) 40

27 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/8

B) √3/4

C) 1/8

D) √2/8

28 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 2

B) 1

C) 4

D) 3

29 / 40

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

A) 6

B) 9

C) 10

D) 8

30 / 40

Tenglamani yeching:

A) 5/9

B) 6/5

C) 9/5

D) 5*4

31 / 40

Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 20

B) 35

C) 40

D) 25

32 / 40

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

A) 40/63

B) 56/65

C) 36/65

D) 48/65

33 / 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

34 / 40

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

A) 192π

B) 72π

C) 144π

D) 96π

35 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) berilganlar yetarli emas

B) 6

C) 8

D) 10

36 / 40

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

A) 3

B) 4

C) 2

D) 1

37 / 40

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

A) 32

B) 64

C) 48

D) 16

38 / 40

Yig‘indini toping.

A) 1/6

B) 1/4

C) 1/12

D) 1/9

39 / 40

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

A) 8/15

B) 5/6

C) 1/3

D) 1/2

40 / 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°