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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

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

A) 1

B) 3

C) 4

D) 2

3 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 40560,8

B) 4506,08

C) 45,0608

D) 450,608

4 / 40

Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

A) 24

B) 8

C) 16

D) 32

5 / 40

funksiyaning eng kichik musbat davrini toping.

A) 24

B) 18

C) 26

D) 12

6 / 40

tenglamani yeching.

A) log(3/5)2

B) log(5/3)2

C) 5

D) 3

7 / 40

cosx=0,2x tenglama nechta yechimga ega?

A) 2

B) 1

C) 3

D) 4

8 / 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) 6

B) 0

C) 2

D) 4

9 / 40

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

A) 5,75

B) 6

C) 13

D) 9,25

10 / 40

Hisoblang:

A) 9

B) 27

C) 4

D) 7

11 / 40

Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -3

B) -2

C) -1

D) 0

12 / 40

Shaharlar orasidagi masofa xaritada 5 sm ga teng bo`lsava xaritaning masshtabi 1:4000000 bo`lsa , shaharlar orasidagi haqiqiy masofa qanchaga teng ?

A) 0,2km

B) 2 km

C) 20 km

D) 200 km

13 / 40

Soddalashtiring:

A) 3

B) 2

C) 1

D) Aniqlab bo`lmaydi

14 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 98

B) 101

C) 100

D) 99

15 / 40

AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

A) 30°

B) 10°

C) 20°

D) 40°

16 / 40

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

A) 32

B) 50

C) 25

D) 41

17 / 40

Agar x²-6x+7=0 bo‘lsa, ni toping.

A) 28

B) 40

C) 52

D) 48

18 / 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) 1,5R

C) √3R(2-√3)

D) 3R

19 / 40

Hisoblang:

A) 0

B) 4

C) 8

D) 6

20 / 40

Yig‘indini toping.

A) 1/12

B) 1/6

C) 1/9

D) 1/4

21 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 2

B) 6

C) 5

D) 4

22 / 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) 80

C) 100

D) 120

23 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 4

B) 1

C) 3

D) 2

24 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 6

B) 8

C) 10

D) berilganlar yetarli emas

25 / 40

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

A) -√17

B) 4

C) -4

D) √17

26 / 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) 12

B) 9

C) 7

D) 15

27 / 40

Agar bo'lsa, ni m orqali ifodalang.

A) (m+1)/2

B) 2/m

C) (m+4)/4

D) (4-m)/4

28 / 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) 20

C) 25

D) 35

29 / 40

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

A) 2

B) 3

C) 4

D) 1

30 / 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) 8√3

C) 9√5

D) 12√3

31 / 40

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

A) 3600

B) 600

C) 5050

D) 4800

32 / 40

ni hisoblang.

A) 0

B) 3

C) 2

D) 1

33 / 40

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

A) 72π

B) 192π

C) 144π

D) 96π

34 / 40

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

A) 1

B) 3

C) 4

D) 2

35 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) √3/4

B) √2/8

C) 1/8

D) √3/8

36 / 40

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

A) 48/65

B) 36/65

C) 40/63

D) 56/65

37 / 40

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

A) 0,144

B) 0,288

C) 0,216

D) 0,432

38 / 40

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

A) 10

B) 9

C) 8

D) 6

39 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;3]∪[2;∞)

B) x∈R

C) (-∞;0)∪(0;∞)

D) [-3;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) 14°

B) 24°

C) 17°

D) 7°