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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

136 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. 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) 3

B) 1

C) 4

D) 2

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2. f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)=x²+3x+7

B) f(x)=x²-x+5

C) f(x)=x²-4

D) f(x)+2x²-1

3 / 40

3. Hisoblang 200−199+198−197+⋯+4−3

A) 100

B) 99

C) 98

D) 101

4 / 40

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

A) 40/63

B) 48/65

C) 36/65

D) 56/65

5 / 40

5. A(4;6), B(2;1), C(6;1) nuqtalarni tutashtirishdan hosil bo‘ladigan uchburchak yuzini toping.

A) 15

B) 10

C) 20

D) 8

6 / 40

va
EKUB( x, y, z)= 6 bo‘lsa,
EKUK)x, y, z)= ?

A) 216

B) 264

C) 240

D) 192

7 / 40

7. Agar n ta juft son va m ta toq sonlarni qo‘shganda juft son chiqsa, m ning qiymati qanday?

A) toq

B) 1

C) juft

D) 0

8 / 40

8. ABCD to‘g‘ri to‘rtburchak bo‘lib, DM kesma to‘rtburchak tekisligiga perpendikulyar. Agar DM kesmaning uzunligi butun son bo‘lib, MA, MC va MB kesma uzunliklari mos ravsihda ketma-ket kelgan toq sonlar bo‘lsa, u holda MABCD piramida hajmini toping.

A) 24√5

B) 60

C) 66

D) 28√5

9 / 40

9. Tengsizlikni yeching:

A) (6;∞)

B) (2;6)

C) (-∞;-2) ∪(6;∞)

D) (2;6)∪(6;∞)

10 / 40

10. Rasmda tasvirlangan favvora ko‘rinishi y=-x(x+6) ko'rinishda bo'lsa, favvora eng ko’pi bilan qaysi balandlikga ko’tarila oladi. (Koordinata Oy o’qi , suv yuzasida joylashgan)

A) 6

B) 9

C) Hisoblab bo'lmaydi

D) 8

11 / 40

11. x²-20, x+1 va -x-6 manfiy sonlar arifmetik progressiyaning ketma-ket hadlari bo‘lsa, x ni toping.

A) 6

B) 7

C) -7

D) -4

12 / 40

12. Chizmada nechta uchburchak tasvirlangan?

A) 48

B) 50

C) 52

D) 54

13 / 40

13. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 11/15

C) 22/25

D) 24/25

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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) 12

B) 6√3

C) 12√3

D) 24√3

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15. 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

16 / 40

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

A) log₂5

B) 2

C) 3

D) log₅2

17 / 40

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

A) 4√4/9

B) 4√2/9

C) 2/3

D) 2/9

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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) 25

C) 36

D) 49

19 / 40

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

A) 14

B) 9

C) 6

D) 7

20 / 40

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

A) I

B) II

C) III

D) IV

21 / 40

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

A) 27

B) 18

C) 48

D) 12

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

A) 2

B) 1

C) 4√2/9

D) 3

23 / 40

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

A) 15

B) 16

C) 12

D) 14

24 / 40

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

A) 10

B) 5

C) 12

D) 6

26 / 40

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

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

B) 2x(b+d)

C) 2bdx+2bd

D) 2x+3b+4d

27 / 40

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

A) 3π²/4

B) π²/4

C) α²

D) 2π²

28 / 40

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

A) 2

B) 3

C) 1

D) 4

29 / 40

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

A) 0≤x≤2

B) 1≤x≤2

C) -2≤x≤2

D) -2≤x≤0

30 / 40

30. 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

31 / 40

31. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x+3)/2

C) (x-7)/2

D) (x-3)/3

32 / 40

32. 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

33 / 40

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

A) b²-b²/2π

B) b²+b²/2π

C) b²/2π

D) b²-2π

34 / 40

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

A) 2

B) 0

C) -2

D) 1

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

A) 2

B) 5

C) 6

D) 30

36 / 40

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

A) 2 m;

B) 2 sm;

C) 3 sm;

D) 4 sm;

37 / 40

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) 10

D) 11

38 / 40

38. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) (3-b)/2b

C) b/(3-b)

D) 3b/(2+b)

39 / 40

39. Aniqmas integralni hisoblang.