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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. Jamshid bir kunda 70,5 kgdan paxta tersa, 8460 kg paxtani necha kunda terib bo’ladi ?

A) 120 kun

B) 140 kun

C) 100 kun

D) 130 kun

2 / 40

2. funksiyaning qiymatlar to'plamini toping.

A) [-√2;-1)∪(-1;1)∪(1;√2]

B) [-√2;0)∪(0;√2]

C) [-√2;√2]

D) (-2√2;√2)

3 / 40

3. Hisoblang: -1²¹+(-1³⁵)-(-1)²⁸

A) -1

B) -2

C) -3

D) 0

4 / 40

4. f(x)+f(3x)+f(5x)+...+f(39x)=(3x+10)⁴ bo'lsa, f'(0) ni toping.

A) 0

B) 25

C) 30

D) 10

5 / 40

5. 1+sin 2x = 7(sin x + cos x) tenglamani yeching.

A) -π/4+πk, k∈Z

B) 0

C) π/4+πk, k∈Z

D) Ø

6 / 40

6. Quyidagilardan qaysi birlari to‘g‘ri?

A) II va IV

B) I va V

C) I, III va V

D) I va III

7 / 40

7. G‘orning 7 ta eshigi bor, sayyoh bu g‘orga necha usulda kirib, yana qaytib chiqishi mumkin? (Bunda har bir eshikdan faqat bir marta o‘tish mumkin)

A) 7⁷

B) 49

C) 42

D) 36

8 / 40

8. Hisoblang.

A) 1.5

B) √3

C) 1

D) 3

9 / 40

9. y = 4x³-18x² + 24x -10 egri chizig‘iga qaysi nuqtalarida o‘tkazilgan urinmalar Ox o‘qiga parellel bo‘ladi?

A) (2;-2) va (0;1)

B) (-2;2) va (0;1)

C) (2;-2) va (1;0)

D) (-2;2) va (1;0)

10 / 40

10. AB masofani toping ?

A) √27

B) √29

C) √30

D) √24

11 / 40

11. Tenglama ildizining natural bo‘luvchilari sonini toping.

A) 4

B) 6

C) 5

D) 2

12 / 40

12. Tenglamani yeching.

A) 0

B) 2

C) 5

D) 1

13 / 40

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

A) I

B) II

C) IV

D) III

14 / 40

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

A) 2/3

B) 4√2/9

C) 4√4/9

D) 2/9

15 / 40

15. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) (3-b)/2b

B) b/(3-b)

C) 2b/(3-b)

D) 3b/(2+b)

16 / 40

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

A) 18π

B) 24π

C) 6π

D) 12π

17 / 40

17. 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

18 / 40

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

A) 40

B) 20

C) 42

D) 36

19 / 40

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

A) 1

B) 5

C) 2

D) -1

20 / 40

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

A) 18

B) 12

C) 27

D) 48

21 / 40

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

A) 2x(b+d)

B) 2bdx+2bd

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

D) 2x+3b+4d

22 / 40

22. 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) π²/4

C) α²

D) 3π²/4

23 / 40

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

A) -2

B) 2

C) 0

D) 1

24 / 40

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

A) 3

B) 2

C) 4√2/9

D) 1

25 / 40

25. funksiyaga teskari funksiyani toping.

A) III

B) I

C) II

D) IV

26 / 40

26. 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

27 / 40

27. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)+c

C) ln(lnx)

D) lnx+c

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) 6

B) 7

C) 9

D) 14

29 / 40

29. 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) 9

B) 12

C) 11

D) 10

30 / 40

30. 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

31 / 40

31. Hisoblang: sin10° •sin50° •sin70°

A) 0,5

B) 0

C) 0,125

D) 0,25

32 / 40

32. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 12/15

C) 24/25

D) 22/25

33 / 40

33. 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

34 / 40

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

A) 0≤x≤2

B) -2≤x≤2

C) -2≤x≤0

D) 1≤x≤2

35 / 40

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

A) 10

B) 12

C) 5

D) 6

36 / 40

36. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-3)/3

B) (x+3)/2

C) (x-2)/3

D) (x-7)/2

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) 12

B) 24√3

C) 12√3

D) 6√3

38 / 40

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

A) 4 sm;

B) 2 m;

C) 3 sm;

D) 2 sm;

39 / 40

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