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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

Agar bo'lsa ifodaning qiymatini toping.

A) 0

B) 7

C) 9

D) 13

3 / 40

Kichchik diagonali tomoniga teng bo’lgan rombga , tomoni diametr qilib yarim doira va uning ichiga romb tomoniga hamda yarim doiraga urunuvchi aylana chizilgan . Agar romb tomoni 8 bo’lsa aylana markazidan diagonallar kesishish nuqtasigacha bo’lgan masofani toping.

A) 4

B) 2

C) 1

D) 3

4 / 40

ni hisoblang.

A) e-1

B) (e-1)/2

C) e+1

D) (e+1)/2

5 / 40

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

A) 0

B) 5

C) 7

D) 6

6 / 40

P(x), Q(x) va R(x) ko'phatdalar berilgan. Bunda P(x) ko'phadning odoz hadi Q(x) ko'phadning ozod hadidan ikki marta katta va P(0)≠0. P(x)=Q(x)·R(x+1) bo'lsa, R(x) ko'phadning koeffitsiyentlarining yig'indisini toping.

A) 4

B) 1

C) 3

D) 2

7 / 40

Aniq integralni hisoblang:

A) 0

B) 2

C) 0,5

D) 3

8 / 40

f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) [-1; ∞)

B) (0; ∞)

C) (-1; ∞)

D) (-2; ∞)

9 / 40

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

A) 67/15

B) 31/85

C) 11/5

D) 68/15

10 / 40

Tengsizlikni yeching.

A) [-3;2]∪{1}

B) [-3;-2]

C) [-2;1]∪{-3}

D) (-∞;-2]

11 / 40

Hisoblang:

A) 3

B) 1

C) 2

D) 4

12 / 40

Eldor velosipetida 13m/s bilan 3 soniyada 15m tepalikka ko`tarilgan bo`lsa AC kesma uzunligi necha metr?

A) 32

B) 36

C) 40

D) 34

13 / 40

Quyidakilardan qaysi biri juft:

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

A) 4

B) 2

C) 1

D) 3

14 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 99

B) 98

C) 100

D) 101

15 / 40

n ning qanday qiymatida tenglik to`g`ri bo’ladi? (7³)=7¹⁵

A) 1

B) 7

C) 12

D) 5

16 / 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) 7

C) 15

D) 12

17 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;3]∪[2;∞)

B) [-3;2]

C) x∈R

D) (-∞;0)∪(0;∞)

18 / 40

tenglama intervalda nechta ildizga ega?

A) 4

B) 1

C) 3

D) 2

19 / 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) 40

B) 25

C) 35

D) 20

20 / 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) R(√3-√2)

B) 3R

C) 1,5R

D) √3R(2-√3)

21 / 40

Uchburchakning 3 va 4 ga teng bo‘lgan tomonlariga o‘tkazilgan medianalar o‘zaro perpendikulyar bo‘lsa, bu uchburchakning uchinchi tomonini toping.

A) 2,5

B) √6

C) 2,4

D) √5

22 / 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) 17°

B) 7°

C) 14°

D) 24°

23 / 40

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

A) 1

B) 4

C) 2

D) 3

24 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 8

B) 0

C) 1

D) 5

25 / 40

Yig‘indini toping.

A) 1/6

B) 1/9

C) 1/4

D) 1/12

26 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 1

B) 2

C) 3

D) 4

27 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 12

B) 6

C) 3

D) 9

28 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 28

B) 52

C) 40

D) 48

29 / 40

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

A) 32

B) 41

C) 25

D) 50

30 / 40

Tenglamani yeching:

A) 9/5

B) 5*4

C) 6/5

D) 5/9

31 / 40

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

A) 16

B) 48

C) 64

D) 32

32 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 6

B) 10

C) berilganlar yetarli emas

D) 8

33 / 40

Hisoblang:

A) 8

B) 0

C) 6

D) 4

34 / 40

ni hisoblang.

A) 0

B) 2

C) 1

D) 3

35 / 40

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

A) 56/65

B) 36/65

C) 48/65

D) 40/63

36 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 6

B) 4

C) 5

D) 2

37 / 40

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

A) 9

B) 6

C) 8

D) 10

38 / 40

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

A) 4800

B) 600

C) 3600

D) 5050

39 / 40

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

A) 192π

B) 72π

C) 96π

D) 144π

40 / 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) 8√3

C) 9√5

D) 6√5