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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

140 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. Agar bo'lsa ifodaning qiymatini toping.

A) 0

B) 9

C) 7

D) 13

2 / 40

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

A) 5,75

B) 6

C) 9,25

D) 13

3 / 40

3. Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -3

B) -2

C) 0

D) -1

4 / 40

4. cos75° ·cos 45° ·cos15° ni hisoblang.

A) 1/8

B) √3/8

C) √2/8

D) √3/4

5 / 40

5. Tenglamani yeching:

A) -6

B) -6; 5

C) 6; -5

D) 5

6 / 40

6. uchun quyidagilardan nechtasi doimo to‘g‘ri?

A) 4

B) 5

C) 2

D) 3

7 / 40

7. Diagonallarining soni tomonlari sonidan 1,5 marta ko‘p bo‘lgan muntazam ko‘pburchakning tomoni 4 ga teng bo‘lsa, unga ichki chizilgan doira yuzini toping.

A) 16π

B) 12π

C) 10π

D) 8π

8 / 40

8. ABCD trapetsiyaning yuzi 24 ga teng asoslari DC = 6, AB = 2, BC tomondan E nuqta olingan bo‘lib, BE = 2EC bo‘lsa, ADE uchburchakning yuzini toping.

A) 12

B) 14

C) 21

D) 16

9 / 40

9. y₁ = (x²+2)² va y₂=2^x²+2 bo‘lsin. Bu y₁ va y₂ funksiya hosilalarining nisbatini y₁ va y₂ lar orqali ifodalang.

A) 4

B) 1

C) 3

D) 2

10 / 40

10. Bo‘yalgan yuzani toping. (cm²)

A) 18

B) Aniqlab bo‘lmaydi

C) 12

D) 16

11 / 40

11. Tenglama ildizining natural bo‘luvchilari sonini toping.

A) 2

B) 5

C) 6

D) 4

12 / 40

12. To'g'ri burchakli uchburchakka ichki va tashqi chizilgan aylanalar raduslari 6 va 15 ga teng bo'lsa, katetlar yig'indini toping.

A) 42

B) 35

C) 28

D) 48

13 / 40

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

A) 12

B) 16

C) 14

D) 15

14 / 40

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

A) 5

B) 6

C) 10

D) 12

15 / 40

15. 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;0

B) -1; 2

C) -1; 0

D) -1;-2

16 / 40

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

A) 2

B) 3

C) 4√2/9

D) 1

17 / 40

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

A) 27

B) 18

C) 48

D) 12

18 / 40

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

A) 4√2/9

B) 2/3

C) 2/9

D) 4√4/9

19 / 40

19. Aniqmas integralni hisoblang.

A) lnx+c

B) ln(lnx)+c

C) xlnx-x+c

D) ln(lnx)

20 / 40

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

A) 2 sm;

B) 4 sm;

C) 2 m;

D) 3 sm;

21 / 40

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

A) 1

B) -2

C) 2

D) 0

22 / 40

22. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) b/(3-b)

B) (3-b)/2b

C) 3b/(2+b)

D) 2b/(3-b)

23 / 40

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

A) 36

B) 42

C) 40

D) 20

24 / 40

24. 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) 25

D) 49

25 / 40

25. 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) α²

D) π²/4

26 / 40

26. sin(2arctg0,75) ni hisoblang

A) 22/25

B) 24/25

C) 11/15

D) 12/15

27 / 40

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

A) 3

B) log₅2

C) 2

D) log₂5

28 / 40

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

A) 30

B) 6

C) 2

D) 5

29 / 40

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

A) 24π

B) 18π

C) 6π

D) 12π

30 / 40

30. 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

31 / 40

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

A) 1≤x≤2

B) -2≤x≤0

C) 0≤x≤2

D) -2≤x≤2

32 / 40

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

A) 1

B) 3

C) 2

D) 4

33 / 40

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

A) 9

B) 14

C) 6

D) 7

34 / 40

34. 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

35 / 40

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

A) IV

B) II

C) I

D) III

36 / 40

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

A) 2x(b+d)

B) 2x+3b+4d

C) 2bdx+2bd

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

37 / 40

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√3

C) 12

D) 24√3

38 / 40

38. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x-3)/3

C) (x-2)/3

D) (x+3)/2

39 / 40

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