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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. y=4cos 2x+cos8x funksiyaning hosilasini toping

A) 16cos3x*cos5x

B) 16sin3x*sin5x

C) -16cos3x*sin5x

D) 16sin3x*cos5x

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) 108

C) 114

D) 96

3 / 40

3. Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 11

B) 14

C) 13

D) 12

4 / 40

4. Aylana tashqarisidagi nuqtadan aylanaga kesuvchi o‘tkazilgan. Berilgan nuqtadan aylanani kesgan nuqtalarigacha bo‘lgan masofalar mos ravishda 9 va 45 ga teng bo‘lsa, shu nuqtadan aylanaga o‘tkazilgan urinmaning urinish nuqtasigacha bo‘lgan masofa uzunligini toping.

A) 6√5

B) 12√3

C) 8√3

D) 9√5

5 / 40

5. bo‘lsa,

A) 1

B) 2/3

C) 3/2

D) 2

6 / 40

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

A) 240

B) 192

C) 216

D) 264

7 / 40

7. 4·(-5)-6·(-3)+(-5)·(-2) sonli ifoda qiymatini toping.

A) 48

B) 12

C) 8

D) -12

8 / 40

8. ABC to‘g‘ri burchakli uchburchakda ∠B =90° , BC = 28, AC =100 va AB tomonda D nuqta shunday olinganki BD = 21 bo‘ladi. sin (∠ACD) ?

A) 0,8

B) 0,2

C) 0,6

D) 0,4

9 / 40

9. Aylananing tashqarisidagi nuqtadan aylanagacha eng qisqa masofa 7 sm, eng uzun masofa 23 sm bo’lsa, aylananing uzunligini toping.

A) 8π

B) 14π

C) 12π

D) 16π

10 / 40

10. EKUB(a;b)=3 va EKUK(a;b) =60 bo’lsa, a+b yig’indining eng katta qiymatini toping.

A) 54

B) 72

C) 63

D) 60

11 / 40

11. Soddalashtiring:

A) 2√b-2√a

B) -2√a

C) 2√a-2√b

D) -2√b

12 / 40

12. Agar cos4x = acos⁴x+bcos2²x+1 bo'lsa, a+b=?

A) -1

B) 0

C) 2

D) 1

13 / 40

13. 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

14 / 40

14. funksiyaga teskari funksiyani toping.

A) II

B) I

C) III

D) IV

15 / 40

15. 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

16 / 40

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

A) I

B) III

C) IV

D) II

17 / 40

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

18 / 40

18. sin(2arctg0,75) ni hisoblang

A) 22/25

B) 12/15

C) 11/15

D) 24/25

19 / 40

19. 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

20 / 40

20. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x+3)/2

B) (x-7)/2

C) (x-3)/3

D) (x-2)/3

21 / 40

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

A) 27

B) 48

C) 12

D) 18

22 / 40

22. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0,5

C) 0,25

D) 0

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) 42

B) 20

C) 36

D) 40

24 / 40

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

A) 2x(b+d)

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

C) 2x+3b+4d

D) 2bdx+2bd

25 / 40

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

A) -2≤x≤0

B) 0≤x≤2

C) 1≤x≤2

D) -2≤x≤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) 5

B) 30

C) 6

D) 2

27 / 40

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

A) 4√4/9

B) 2/3

C) 2/9

D) 4√2/9

28 / 40

28. 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

29 / 40

29. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)

C) lnx+c

D) ln(lnx)+c

30 / 40

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

A) 6

B) 12

C) 10

D) 5

31 / 40

31. 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

32 / 40

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

A) α²

B) π²/4

C) 3π²/4

D) 2π²

33 / 40

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

A) 1

B) 3

C) 2

D) 4

34 / 40

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

A) 3 sm;

B) 4 sm;

C) 2 sm;

D) 2 m;

35 / 40

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

A) 1

B) 2

C) 4√2/9

D) 3

36 / 40

36. 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

37 / 40

37. 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

38 / 40

38. 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) 24√3

B) 12√3

C) 12

D) 6√3

39 / 40

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

A) 0

B) 2

C) -2

D) 1

40 / 40

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