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Matematika attestatsiya №13

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Iyul 21, 2022

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1. Jaloliddin uyiga tezroq qaytish uchun qaysi yo’lni tanlash kerak.

A) Birinchi yo'l

B) Uchunchi yo'l

C) To'rtinchi yo'l

D) Ikkinchi yo'l

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

A) (-2; ∞)

B) (-1; ∞)

C) (0; ∞)

D) [-1; ∞)

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3. Quyida berilgan shakillar ichidagi sonlar yig`indisi nolgateng bo`lishi uchun . Nechanchi shakilni olib tashlash kerak?

A) 2

B) 3

C) 4

D) 1

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4. Tenglamaning natural ildizining butun bo‘luvchilari nechta?

A) 4

B) 2

C) 5

D) 6

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5. Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 14

C) 10

D) 12

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6. ni hisoblang.

A) 2

B) 4

C) 3

D) 1

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7. bo‘lsa, f ''(1) ning qiymatini toping.

A) 0

B) -24

C) 12

D) -12

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8. 2²⁰²² raqamlar yig‘indisidan hosil bo‘lgan sonning raqamlar yig‘indisidan hosil bo‘lgan sonning raqamlar yig‘indisi hosil qilindi va hokazo. Oxirida bitta raqam qolgan bo‘lsa, shu raqamni toping.

A) 1

B) 0

C) 7

D) 8

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9. 720 ning 50%i 18 ning 500%idan necha foizga ko’p?

A) 300

B) 200

C) 400

D) 320

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10. Hisoblang .

A) 1

B) 0

C) 0,5

D) 0,1

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11. a<0 ifodani soddalashtiring.

A) 0

B) -2

C) -3

D) -1

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12. Noaniq integralni toping. ∫(sin²x+cos²x)dx

A) 4x+c

B) x+c

C) c

D) 2x+c

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13. Meshdagi suv Sarvarning o'ziga 20 kunga, Behruzga esa 60 kunga yetadi. Meshdagi suv ikkalasiga necha kunga yetadi?

A) 14

B) 16

C) 15

D) 12

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14. y=6x+18 to’g’ri chiziq bilan chegaralangan soha yuzini toping.

A) 48

B) 27

C) 18

D) 12

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15. sin (2arccos1/3) ni hisoblang.

A) 4√2/9

B) 2/3

C) 4√4/9

D) 2/9

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16. Quydagi shaklning to’la sirtini ifadolovchi formulani tuzing?

A) 2bdx+2bd

B) 2x+3b+4d

C) 2x(b+d)+2bd

D) 2x(b+d)

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17. Ikki natural sonning kvadratlarining o'rta arifmetigi 34 ga, o'rta geometrigi esa 8 ga teng. Shu sonlarning yig'indisini yarmini toping toping.

A) 6

B) 14

C) 7

D) 9

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18. Quydagi to’g’ri to’rt burchak yuzasining eng kichchik qiymatini toping.

A) 4

B) 3

C) 2

D) 1

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19. f(x+10)=f(x)·f(x-10)-x f(0)=1/2 va f(10)=30 bo’lsa, f(20)=?

A) 5

B) 30

C) 2

D) 6

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20. f(x)=2·tgx funksiyaning x₀=π nuqtadagi hosilasini toping.

A) 2

B) 1

C) 0

D) -2

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21. k va l ning qanday qiymatlarida y=k/x giperbola va y=kx+l to’g’ri chiziq M( -1;1) nuqtalardan o’tadi.

A) -1;-2

B) -1; 2

C) -1; 0

D) 1;0

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22. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 22/25

C) 11/15

D) 24/25

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23. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)

C) lnx+c

D) ln(lnx)+c

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24. sin²α+ sin²β= 1 tenglamada 0<α<π/2 va 0<β<π/2 bo’lsa, α²+π²/2+β²+2αβ ni hisoblang.

A) 2π²

B) 3π²/4

C) π²/4

D) α²

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25. y₁ va y₂ y² + my + n = 0 tenglamaning ildizlari, y₁ va y₂ ning har birini 4 taga orttirib, ildizlari hosil bo'lgan sonlarga teng kvadrat tenglama tuzildi. Agar uning ozod hadi n -24 (n dastlabki tenglamaning ozod hadi) ga teng bo'lsa, m nechaga teng?

A) 11

B) 9

C) 12

D) 10

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26. 1,2,3,4,2,3,1,4,5,3,2,12,3,4,2,1,3,2,1,4,3,2,1,2,3,4,2,1,2,3. Chastotasi eng kata bo’lgan songa 3 ni qo’shsak achiqsa. a²= ?

A) 36

B) 16

C) 25

D) 49

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27. Agar tg(x+y)=3 va tg(x-y)=2 bo’lsa tg2x+5 ning yarmini toping

A) 5

B) 2

C) -1

D) 1

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28. ifoda x ning nechta qiymatida ma’noga ega emas?

A) 2

B) 4√2/9

C) 1

D) 3

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29. Agar f(x)=x³─5x²+2x+a va f "(2)=f(2) bo’lsa, a ning qiymatini toping.

A) 12

B) 6

C) 10

D) 5

30 / 40

30. funksiyaga teskari funksiyani toping.

A) I

B) II

C) IV

D) III

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31. Silindr yon sirtining yoyilmasi tomoni b ga teng kvadratdan iborat. Silindir to’la sirtini toping.

A) b²-b²/2π

B) b²-2π

C) b²/2π

D) b²+b²/2π

32 / 40

32. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) b/(3-b)

C) (3-b)/2b

D) 3b/(2+b)

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33. Konus o’q kesimi yuzi 4√3 ga teng muntazam uchburchakdan iborat. Konus to’la sirtini toping?

A) 6π

B) 18π

C) 24π

D) 12π

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34. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x+3)/2

C) (x-3)/3

D) (x-7)/2

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35. Teng yonli uchburchakning asosi yon tomonidan 15 ga ortiq uchburchakning asosiga tushirilgan balandligi 15 ga teng bo’lsa , uning asosini toping.

A) 36

B) 40

C) 20

D) 42

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36. y=arcsin(-x-1) funksiyani aniqlanish sohasini toping.

A) 1≤x≤2

B) -2≤x≤0

C) -2≤x≤2

D) 0≤x≤2

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37. Uchburchakning b va c ga teng tomonlari orasidagi burchagi 30⁰ ga teng. Uchburchakning uchunchi tomoni 12 ga teng bo'lsa hamda uning tomonlari c² = b² + 12b + 144 shartni qanoatlantirsa, c ning qiymatini toping.

A) 6√3

B) 12

C) 24√3

D) 12√3

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38. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0,25

C) 0

D) 0,5

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39. x ning qanday qiymatida lg2; lg(2^x-1); lg(2^x+3) arfimetik progressiyani tashkil qiladi?