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Matematika attestatsiya №4

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Yanvar 21, 2022

52 Ko'rishlar 1 izoh

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1 ovozlar, 1 avg

Matematika fanidan attestatsiya savollari №4

1 / 40

tengsizlikning barcha butun yechimlari yig‘indisining natural bo’luvchilari yig‘indisi topilsin.

A) 28

B) 32

C) 21

D) 24

2 / 40

ABCD qavariq to‘rtburchakka aylana ichki chizilgan. AB = 8, BC = 12 bo‘lsa, CD – AD ayirmani toping.

A) aniqlab bo‘lmaydi

B) 4

C) 3

D) 2

3 / 40

funksiyaning eng kichik musbat davrini toping.

A) 24

B) 26

C) 18

D) 12

4 / 40

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 59

B) 60

C) 61

D) 58

5 / 40

ni 9 ga bo’lgandagi qoldiqning kvadratini toping.

A) 9

B) 25

C) 16

D) 4

6 / 40

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

A) 2

B) 4

C) 6

D) 8

7 / 40

tenglamani yeching.

A) 3

B) 5

C) log(5/3)2

D) log(3/5)2

8 / 40

Tengsizlikni yeching.

A) [-3;2]∪{1}

B) [-2;1]∪{-3}

C) (-∞;-2]

D) [-3;-2]

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) 46

B) 50

C) 44

D) 40

10 / 40

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

A) 13

B) 5,75

C) 6

D) 9,25

11 / 40

Hisoblang:

A) 4

B) 2

C) 3

D) 1

12 / 40

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

A) 5

B) 12

C) 1

D) 7

13 / 40

Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 9

B) 8

C) 7

D) 6

14 / 40

Soddalashtiring:

A) 1

B) 3

C) 2

D) Aniqlab bo`lmaydi

15 / 40

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

A) 20°

B) 40°

C) 10°

D) 30°

16 / 40

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

A) 0,288

B) 0,432

C) 0,144

D) 0,216

17 / 40

Funksiyaning aniqlanish sohasini toping.

A) (-∞;3]∪[2;∞)

B) [-3;2]

C) x∈R

D) (-∞;0)∪(0;∞)

18 / 40

Yig‘indini toping.

A) 1/12

B) 1/6

C) 1/9

D) 1/4

19 / 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) 2

D) 3

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) 1/3

C) 5/6

D) 8/15

21 / 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) 8√3

B) 9√5

C) 6√5

D) 12√3

22 / 40

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

A) 1

B) 0

C) 9

D) 5

23 / 40

Tenglamani yeching:

A) 5/9

B) 9/5

C) 6/5

D) 5*4

24 / 40

Agar bo‘lsa, m/n ni toping.

A) 4

B) 2

C) (1+√5)/2

D) 3

25 / 40

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

A) √17

B) -√17

C) 4

D) -4

26 / 40

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

A) 96π

B) 192π

C) 72π

D) 144π

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) dastlab kamayadi, keyin o‘sadi

B) qat’iy o‘suvchi

C) dastlab o‘sadi, keyin kamayadi

D) qat’iy kamayuvchi

28 / 40

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

A) 142°

B) 135°

C) 132°

D) 138°

29 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 8

B) 10

C) berilganlar yetarli emas

D) 6

30 / 40

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

A) 2,4

B) 2,5

C) √6

D) √5

31 / 40

tenglama intervalda nechta ildizga ega?

A) 3

B) 1

C) 4

D) 2

32 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 6

B) 9

C) 12

D) 3

33 / 40

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

A) 4

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) 3600

B) 4800

C) 600

D) 5050

35 / 40

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

A) 56/65

B) 40/63

C) 48/65

D) 36/65

36 / 40

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

A) 6

B) 10

C) 8

D) 9

37 / 40

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

A) 16

B) 48

C) 32

D) 64

38 / 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

39 / 40

ni hisoblang.

A) 2

B) 1

C) 3

D) 0

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) 17°

B) 14°

C) 24°

D) 7°