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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

Agar ning qiymatini toping.

A) 23/75

B) 75/23

C) 3

D) 23/25

2 / 40

tengsizlikni yeching.

A) x∈(-∞;5)∪(-3;1)

B) x∈(-3;1)

C) x∈(-∞;5)

D) x∈(-5;1)

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) 3

D) 1

4 / 40

Yig’indi quydagilardan qaysi biriga teng?

A) 4506,08

B) 45,0608

C) 450,608

D) 40560,8

5 / 40

x,y,z∈N A=6x+1=5y+1=4z+1, min(A)=?

A) 58

B) 59

C) 60

D) 61

6 / 40

funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 4

B) 4,5

C) 3

D) 7,5

7 / 40

f(x)=26sin6x·sin7x funksiya uchun boshlang'ich funksiyasini toping.

A) 13sinx+sin13x + C

B) 13sinx-sin13x + C

C) 13cosx-cos13x + C

D) -13cosx- cos13 x +C

8 / 40

Aniq integralni hisoblang:

A) 3

B) 0,5

C) 0

D) 2

9 / 40

Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 96

B) 114

C) 126

D) 108

10 / 40

x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 32

B) 27

C) 26

D) 48

11 / 40

Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -3

B) -1

C) -2

D) 0

12 / 40

Soddalashtiring.

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

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

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

D) (a-1)/(1-b)

13 / 40

Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 3

B) 4

C) 6

D) 5

14 / 40

Hisoblang 200−199+198−197+⋯+4−3

A) 98

B) 101

C) 100

D) 99

15 / 40

Soddalashtiring:

A) 2

B) Aniqlab bo`lmaydi

C) 1

D) 3

16 / 40

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

A) 48/65

B) 40/63

C) 36/65

D) 56/65

17 / 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) 1,5R

B) 3R

C) R(√3-√2)

D) √3R(2-√3)

18 / 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) 120

B) 80

C) 90

D) 100

19 / 40

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

A) √6

B) 2,5

C) √5

D) 2,4

20 / 40

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

A) 9

B) 8

C) 6

D) 10

21 / 40

f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 10

B) 30

C) 0

D) 25

22 / 40

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

A) 25

B) 50

C) 41

D) 32

23 / 40

Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) berilganlar yetarli emas

B) 10

C) 8

D) 6

24 / 40

ni hisoblang.

A) 2

B) 3

C) 0

D) 1

25 / 40

cos75° ·cos 45° ·cos15° ni hisoblang.

A) 1/8

B) √2/8

C) √3/4

D) √3/8

26 / 40

Agar bo‘lsa, m/n ni toping.

A) (1+√5)/2

B) 2

C) 3

D) 4

27 / 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

28 / 40

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

A) 135°

B) 142°

C) 138°

D) 132°

29 / 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

30 / 40

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

A) -√17

B) -4

C) √17

D) 4

31 / 40

Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 4

B) 5

C) 6

D) 2

32 / 40

Ayniyatdan foydalanib x + y + z ni toping:

A) 6

B) 12

C) 9

D) 3

33 / 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) 9√5

B) 6√5

C) 12√3

D) 8√3

34 / 40

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

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 3

B) 4

C) 1

D) 2

35 / 40

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

A) 3

B) 1

C) 4

D) 2

36 / 40

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

A) 5

B) 4

C) 1

D) 2

37 / 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) 24°

D) 14°

38 / 40

Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.