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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 $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 11

B) 4

C) 35

D) 12

2 / 40

2. funksiyaning qiymatlar to'plamini toping.

A) [-√2;-1)∪(-1;1)∪(1;√2]

B) [-√2;0)∪(0;√2]

C) (-2√2;√2)

D) [-√2;√2]

3 / 40

3. n ning qanday qiymatida tenglik to`g`ri bo’ladi? (7³)=7¹⁵

A) 7

B) 1

C) 12

D) 5

4 / 40

4. Raqamlari yig‘indisi 10 bo‘lgan nechta turli 3 xonali son bor?

A) 0,144

B) 0,288

C) 0,216

D) 0,432

5 / 40

5. Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 3√2

C) 2√3

D) 4√3

6 / 40

6. 0,3757575… davriy kasr qisqarmas m/n kasrga ga teng bo‘lsa, m - n ayirmani toping.

A) –309

B) -103

C) -41

D) –618

7 / 40

7. x tomon uzunligini toping.

A) √2

B) 1

C) 2

D) 3

8 / 40

8. x>0 da x + √x = 3 bo'lsa, √x -3/√x ifodaning qiymatini toping.

A) 1

B) -2

C) -1

D) 0

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) 2

B) 1

C) 3

D) 4

10 / 40

10. Rasmda keltirilgan ma‘lumot asosida bitta yashil sharni nechta kub bilan almashtirish mumkinligini toping?

A) 1

B) 2

C) 3

D) 4

11 / 40

11. Soddalashtiring:

A) -2√a

B) -2√b

C) 2√a-2√b

D) 2√b-2√a

12 / 40

12. f(x) = x²-3x-2 bo'lsa. f(a+b+c)-f(abc)=? Bunda a, b, c - kvadrat funksiya koeffitsiyentlari.

A) 36

B) 42

C) 38

D) 40

13 / 40

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

A) 27

B) 18

C) 12

D) 48

14 / 40

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

A) I

B) II

C) III

D) IV

15 / 40

15. 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

16 / 40

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

A) 1

B) -2

C) 0

D) 2

17 / 40

17. 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) 10

C) 11

D) 9

18 / 40

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

A) 18π

B) 6π

C) 24π

D) 12π

19 / 40

19. 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;

20 / 40

20. 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

21 / 40

21. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 24/25

C) 11/15

D) 22/25

22 / 40

22. 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

23 / 40

23. 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

24 / 40

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

A) b²/2π

B) b²-b²/2π

C) b²-2π

D) b²+b²/2π

25 / 40

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

A) 2

B) log₅2

C) log₂5

D) 3

26 / 40

26. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0

C) 0,5

D) 0,25

27 / 40

27. funksiyaga teskari funksiyani toping.

A) II

B) IV

C) I

D) III

28 / 40

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

A) 12

B) 15

C) 16

D) 14

29 / 40

29. 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) 2π²

C) 3π²/4

D) π²/4

30 / 40

30. 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

31 / 40

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

A) 2/3

B) 4√4/9

C) 4√2/9

D) 2/9

32 / 40

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

A) 20

B) 40

C) 42

D) 36

33 / 40

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

A) 2

B) 4√2/9

C) 3

D) 1

34 / 40

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

A) 3

B) 2

C) 4

D) 1

35 / 40

35. 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

36 / 40

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

A) 2bdx+2bd

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

C) 2x(b+d)

D) 2x+3b+4d

37 / 40

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

A) 2

B) 5

C) 6

D) 30

38 / 40

38. Aniqmas integralni hisoblang.

A) lnx+c

B) xlnx-x+c

C) ln(lnx)+c

D) ln(lnx)

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

B) 12√3

C) 6√3

D) 24√3

40 / 40

40. 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; 0

D) -1;-2