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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. Qayiq daryo oqimga qarshi 48 km va oqim bo‘yicha ham shuncha yo‘l bosib, butun yo‘lga 5 soat vaqt sarfladi. Daryo oqimining tezligi 4 km/soat bo‘lsa, qayiqning xususiy tezligini toping.

A) 22

B) 25

C) 20

D) 18

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2. P(-2;2) nuqtadan o'tuvchi va a(6;4)a vektorga perpendikulyar bo'lgan to'g'ri chiziq tenglamasini toping.

A) 3x-2y+2=0

B) 3x-2y-2=0

C) 3x+2y-2=0

D) 3x+2y+2=0

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3. Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 48/5

B) 10

C) 16

D) 64/5

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

A) 41

B) 25

C) 32

D) 50

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5. Chizmadan foydalanib α ni toping.

A) 30°

B) 20°

C) 50°

D) 40°

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6. bo‘lsa, a, b, c larning ishoralarini aniqlang.

A) +,-,+

B) +,+,+

C) -,-,+

D) -,+,-

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7. ni hisoblang.

A) 15

B) 3

C) 30

D) 0,3

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8. ABCD to‘g‘ri to‘rtburchakda AB = 20, BC = 10. CD tomondan shunday E nuqta olinganki, bunda ∠CBE = 15° . AE kesma uzunligini toping.

A) 18

B) 12√3

C) 20

D) 10√3

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9. f(f(2)) ni toping.

A) 3

B) 2

C) 0

D) -1

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10. Hisoblang

A) 0,5

B) 1

C) 0,1

D) 0

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11. Hisoblang.

A) -2

B) 0

C) 1

D) 2

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12. Hisoblang.

A) 24-3b

B) 24+3b

C) 14-2b

D) 26-3b

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

A) log₅2

B) 2

C) 3

D) log₂5

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14. 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) 24√3

C) 12

D) 12√3

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15. Agar ln(ab)=2x ba ln(a/b)=2y bo'lsa, a=?

A) III

B) I

C) IV

D) II

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

A) 4√4/9

B) 4√2/9

C) 2/3

D) 2/9

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

A) 0≤x≤2

B) -2≤x≤0

C) -2≤x≤2

D) 1≤x≤2

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18. 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) 16

B) 36

C) 49

D) 25

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

A) 24π

B) 18π

C) 12π

D) 6π

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

A) 40

B) 42

C) 20

D) 36

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

A) 2x(b+d)

B) 2x+3b+4d

C) 2bdx+2bd

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

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

A) 7

B) 9

C) 6

D) 14

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

A) 4√2/9

B) 1

C) 2

D) 3

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

A) 12

B) 18

C) 27

D) 48

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

A) -1

B) 2

C) 1

D) 5

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26. To’g’ri burchakli uchburchakning katetlari 5 sm va 12 sm. Uchburchakka ichki chizilgan aylananing radiusini toping.

A) 3 sm;

B) 2 sm;

C) 2 m;

D) 4 sm;

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27. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) (3-b)/2b

C) 3b/(2+b)

D) b/(3-b)

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

A) 15

B) 12

C) 14

D) 16

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

A) 6

B) 10

C) 5

D) 12

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

A) 0

B) -2

C) 1

D) 2

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31. 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) π²/4

C) 3π²/4

D) α²

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

A) 4

B) 1

C) 2

D) 3

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33. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)+c

C) lnx+c

D) ln(lnx)

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34. 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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35. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0

C) 0,5

D) 0,25

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

A) 6

B) 5

C) 30

D) 2

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37. 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) 12

B) 9

C) 11

D) 10

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38. 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

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39. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?