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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 / 40

1. Agar ning qiymatini toping.

A) 75/23

B) 23/25

C) 3

D) 23/75

2 / 40

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

A) 126

B) 96

C) 114

D) 108

3 / 40

3. Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUK 3-EKUK

B) 1-EKUB 2-EKUB 3-EKUB

C) 1-EKUB 2-EKUB 3-EKUK

D) 1-EKUB 2-EKUK 3-EKUB

4 / 40

4. x²-n≤0 tengsizlik o‘rinli bo‘ladigan x ning 7 ta butun ildizi bor bo‘lsa. n nechta turli butun qiymat qabul qiladi?

A) 7

B) 9

C) 12

D) 15

5 / 40

5. Rasmdagi shakl perimetrini toping.

A) 28

B) 30

C) 24

D) 32

6 / 40

6. Yuzi 24 ga teng bo‘lgan to‘g‘ri burchakli uchburchakning gipotenuzasiga tushirilgan medianasi va balandligi 0,2 ga farq qiladi. Gipotenuza uzunligini toping.

A) 20

B) 10

C) 17

D) 13

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) 10π

B) 8π

C) 16π

D) 12π

8 / 40

8. f(g(x))=x² + 4x - 1, g(x)=x + a va f′(0)=1 bo'lsa, α ni toping.

A) 3,5

B) 1,5

C) 2

D) 3

9 / 40

9. n ning nechta butun qiymatida kasr butun son bo‘ladi?

A) 9

B) 3

C) 10

D) 8

10 / 40

10. Berilgan chizmadan ning gradus oʻlchamini toping.

A) 86

B) 76

C) 72

D) 84

11 / 40

11. |x|+|y|<7 tengsizlikni nechta (x; y) butun sonlar juftligi qanotlantiradi?

A) 98

B) 14

C) 85

D) 49

12 / 40

12. Agar bo'lsa, ni toping.

A) 0

B) 5,2

C) 2,5

D) 3

13 / 40

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

A) 3

B) log₂5

C) log₅2

D) 2

14 / 40

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

A) 2/3

B) 4√4/9

C) 2/9

D) 4√2/9

15 / 40

15. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 24/25

C) 12/15

D) 22/25

16 / 40

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

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

B) 2x(b+d)

C) 2bdx+2bd

D) 2x+3b+4d

17 / 40

17. 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;0

C) -1; 2

D) -1; 0

18 / 40

18. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0,25

C) 0

D) 0,5

19 / 40

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

A) II

B) III

C) IV

D) I

20 / 40

20. 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) 11

C) 9

D) 10

21 / 40

21. 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

22 / 40

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

A) -2

B) 2

C) 1

D) 0

23 / 40

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

A) 15

B) 12

C) 16

D) 14

24 / 40

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

A) 1

B) 4

C) 2

D) 3

25 / 40

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

A) 3

B) 4√2/9

C) 1

D) 2

26 / 40

26. 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

27 / 40

27. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x+3)/2

B) (x-2)/3

C) (x-3)/3

D) (x-7)/2

28 / 40

28. 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) 7

D) 6

29 / 40

29. 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) 49

C) 25

D) 16

30 / 40

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

A) 10

B) 5

C) 6

D) 12

31 / 40

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

A) 5

B) -1

C) 1

D) 2

32 / 40

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

A) 12π

B) 18π

C) 24π

D) 6π

33 / 40

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

A) 0≤x≤2

B) -2≤x≤2

C) 1≤x≤2

D) -2≤x≤0

34 / 40

34. 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;

35 / 40

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

A) π²/4

B) 2π²

C) 3π²/4

D) α²

36 / 40

36. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) lnx+c

C) ln(lnx)

D) ln(lnx)+c

37 / 40

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

A) 48

B) 12

C) 18

D) 27

38 / 40

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

A) 42

B) 36

C) 40

D) 20

39 / 40

39. 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√3

B) 24√3

C) 12

D) 6√3

40 / 40

40. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) b/(3-b)

B) 3b/(2+b)

C) 2b/(3-b)

D) (3-b)/2b