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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) 16sin3x*sin5x

B) -16cos3x*sin5x

C) 16cos3x*cos5x

D) 16sin3x*cos5x

2 / 40

2. Teng yonli trapetsiyaning diagonallari o'zaro perpendikulyar hamda yuzi 32 ga teng bo'lsa, uning diagonali uzunligini toping.

A) 8

B) 6

C) 4

D) 2

3 / 40

3. Quyida berilgan holatda stol va uni atrofida qo’yiladigan stullarning holati berilgan va raqamlangan k-holatda stullarning raqamlari yig`indisi 351 taga teng bo`lsa, k ni toping ?

A) 12

B) 10

C) 11

D) 13

4 / 40

4. Funksiyaning aniqlanish sohasini toping.

A) (-∞;0)∪(0;∞)

B) x∈R

C) [-3;2]

D) (-∞;3]∪[2;∞)

5 / 40

5. ABC to‘g‘ri burchakli uchburchakning og‘irlik markazi G nuqta. Bunda AB ⊥ BC, AG ⊥ GB va AG = 8 bo‘lsa, BG ni toping.

A) 4√2

B) 3√2

C) 4√3

D) 6

6 / 40

6. d₁ || d₂ bo‘lsa, α ni toping.

A) 10

B) 20

C) 25

D) 15

7 / 40

7. x, 24 va 30 sonlarining EKUBi 6, EKUKi 360 ga teng. Bunga ko‘ra x ning eng kichik qiymatini toping.

A) 12

B) 10

C) 15

D) 18

8 / 40

8. To‘g‘ri burchakli uchburchakning gipotenuzasidan olingan nuqtadan uning katetlariga parallel qilib o‘tkazilgan to‘g‘ri chiziqlar uchburchakdan bitta kvadrat va ikkita kichkina to‘g‘ri burchakli uchburchak ajratadi. Agar shu uchburchaklardan birining yuzining kvadrat yuziga nisbati m ga teng bo‘lsa, ikkinchi uchburchak yuzining shu kvadrat yuziga nisbatini toping.

A) 1/3m

B) 1/4m

C) m-1

D) 3

9 / 40

9. x⁶ -10x⁵ + ax⁴ + bx³ + cx² + dx +16 ko‘phadning barcha ildizlari natural sonlardan iborat (ba’zi ildizlar takrorlanuvchi ham bo‘lishi mumkin). U holda b ning qiymati nechaga teng?

A) -80

B) -88

C) -41

D) -64

10 / 40

10. Hisoblang:

A) 70/80

B) 71/91

C) 7/18

D) 77/810

11 / 40

11. Tengsizlikni yeching:

A) (-∞;8)

B) (0;8)

C) (8;+∞)

D) (-∞;1/8)

12 / 40

12. Hisoblang.

A) 7/11

B) 0

C) 9/13

D) 9/11

13 / 40

13. funksiyaga teskari funksiyani toping.

A) III

B) I

C) II

D) IV

14 / 40

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

A) 1

B) 2

C) 0

D) -2

15 / 40

15. Aniqmas integralni hisoblang.

A) lnx+c

B) ln(lnx)+c

C) xlnx-x+c

D) ln(lnx)

16 / 40

16. 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) 3π²/4

C) 2π²

D) π²/4

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;0

D) -1; 2

18 / 40

18. 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) 7

C) 9

D) 6

19 / 40

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

A) 3

B) 4

C) 2

D) 1

20 / 40

20. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 22/25

C) 24/25

D) 11/15

21 / 40

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

A) 18π

B) 12π

C) 24π

D) 6π

22 / 40

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

A) b²-2π

B) b²/2π

C) b²-b²/2π

D) b²+b²/2π

23 / 40

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

A) 48

B) 12

C) 27

D) 18

24 / 40

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

A) 36

B) 40

C) 20

D) 42

25 / 40

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

A) 4√2/9

B) 4√4/9

C) 2/9

D) 2/3

26 / 40

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

A) II

B) IV

C) I

D) III

27 / 40

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

A) 3

B) 4√2/9

C) 1

D) 2

28 / 40

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

A) 14

B) 15

C) 16

D) 12

29 / 40

29. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0,5

C) 0

D) 0,25

30 / 40

30. 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) 2

D) 30

31 / 40

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

A) 12

B) 5

C) 6

D) 10

32 / 40

32. 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) 10

B) 11

C) 9

D) 12

33 / 40

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

A) -1

B) 1

C) 2

D) 5

34 / 40

34. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 3b/(2+b)

B) (3-b)/2b

C) b/(3-b)

D) 2b/(3-b)

35 / 40

35. 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) 49

B) 16

C) 25

D) 36

36 / 40

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

A) -2≤x≤0

B) 0≤x≤2

C) -2≤x≤2

D) 1≤x≤2

37 / 40

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

A) 2 sm;

B) 3 sm;

C) 2 m;

D) 4 sm;

38 / 40

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

A) 2x(b+d)

B) 2x+3b+4d

C) 2bdx+2bd

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

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) 6√3

C) 12

D) 24√3

40 / 40

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

A) 3

B) 2

C) log₂5

D) log₅2