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Matematika attestatsiya №13

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Iyul 21, 2022

144 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. ni hisoblang.

A) e+1

B) (e+1)/2

C) e-1

D) (e-1)/2

2 / 40

2. tenglamaning ildizlari yig'indisini(agar ildizi bitta bo'lsa, o'zini) toping.

A) 0

B) 2

C) 1

D) 3

3 / 40

3. Soddalashtiring.

A) (b+2)/(1-b)

B) (a-1)/(a-3)

C) (a+1)/(-a-3)

D) (a-1)/(1-b)

4 / 40

4. Integralni hisoblang:

A) 2

B) 4

C) 1

D) 3

5 / 40

5. Tenglamalar sistemasining ildizlari yig‘indisini toping.

A) 20

B) 14

C) 10

D) 12

6 / 40

6. x+y-z=7 va x²+y²+z²=19 bo'lsa, yz+xz-xy=?

A) 30

B) 15

C) -6

D) -15

7 / 40

7. P(x)=3x⁵-2x⁴+4x³+2x²-1 ko‘phadni x²- x +1 ga bo‘lgandagi qoldiqni toping.

A) x-1

B) x+4

C) x-10

D) x-4

8 / 40

8. Agar cos9α = 4cosα bo'lsa, (4cos²3α-3)(4cos²α-3) ning qiymatini toping.

A) 16

B) 0

C) 8

D) 4

9 / 40

9. A(1; 3) nuqtadan 12x+5y+a–4=0 to’g’ri chiziqqacha bo’lgan masofa 2 bo’lsa, a ni toping.

A) 3

B) 4

C) 1

D) 2

10 / 40

10. Hisoblang.

A) √2-1

B) √2+1

C) √2+√3

D) 1-√2

11 / 40

11. θ ratsional son, ω va φ esa irratsional sonlar bo‘lsa, quyidagilardan qaysi biri ratsional son bo‘lishi mumkin? θ ≠ 0

A) 1, 2, 3

B) 2 5, 6

C) 1, 2, 5

D) 3, 4, 6

12 / 40

12. y = x²+1-|sinx| funksiya grafigi OX o'qidan pastda yotadimi?

A) Yotmaydi

B) Yotadi

13 / 40

13. Aniqmas integralni hisoblang.

A) ln(lnx)+c

B) lnx+c

C) xlnx-x+c

D) ln(lnx)

14 / 40

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

A) 2

B) -1

C) 1

D) 5

15 / 40

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

A) 2x+3b+4d

B) 2x(b+d)

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

D) 2bdx+2bd

16 / 40

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

A) 2

B) 4

C) 1

D) 3

17 / 40

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

A) 2

B) 30

C) 6

D) 5

18 / 40

18. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0

C) 0,125

D) 0,5

19 / 40

19. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 22/25

C) 11/15

D) 12/15

20 / 40

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

A) 3b/(2+b)

B) b/(3-b)

C) (3-b)/2b

D) 2b/(3-b)

21 / 40

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

A) 2

B) 1

C) 0

D) -2

22 / 40

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

A) log₅2

B) 3

C) log₂5

D) 2

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) 36

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) 49

B) 36

C) 25

D) 16

25 / 40

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

A) 1

B) 3

C) 4√2/9

D) 2

26 / 40

26. 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

27 / 40

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

A) 12

B) 14

C) 15

D) 16

28 / 40

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

A) 3π²/4

B) π²/4

C) α²

D) 2π²

29 / 40

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

A) 27

B) 48

C) 18

D) 12

30 / 40

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

A) II

B) I

C) IV

D) III

31 / 40

31. 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) 6

D) 9

32 / 40

32. 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;-2

D) -1; 0

33 / 40

33. funksiyaga teskari funksiyani toping.

A) I

B) II

C) IV

D) III

34 / 40

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

A) 5

B) 12

C) 10

D) 6

35 / 40

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

A) b²-b²/2π

B) b²/2π

C) b²+b²/2π

D) b²-2π

36 / 40

36. 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;

37 / 40

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

A) 2/3

B) 4√4/9

C) 4√2/9

D) 2/9

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) 6√3

B) 12

C) 12√3

D) 24√3

39 / 40

39. 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) 9

C) 12

D) 11

40 / 40

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

A) 6π

B) 24π

C) 18π

D) 12π