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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. bo‘lsa, x + y ni toping.

A) 20

B) 17

C) 16

D) 18

2 / 40

2. funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 3

B) 4,5

C) 7,5

D) 4

3 / 40

3. Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 1

B) 2

C) 4

D) 3

4 / 40

4. ni hisoblang.

A) 3

B) 0

C) 1

D) 2

5 / 40

5. Ifodaning qiymatini toping.

A) 0,0(2)

B) 0,0(4)

C) 0,04

D) 0,(04)

6 / 40

6. ni hisoblang.

A) 3

B) 4

C) 2

D) 1

7 / 40

7. x va y natural sonlar uchun 20∙x! = y! bo‘lsa, y ning qabul qiladigan qiymatlari yig‘indisini toping.

A) 26

B) 25

C) 20

D) 23

8 / 40

8. Arifmetik progressiyada a₃+a₆+a₉+....+a_3n=80 bo‘lsa, a_2n-3+a_n+6=16 bo‘lsa, n ning qiymatini toping.

A) 5

B) 10

C) 11

D) 8

9 / 40

9. {a_n} - ketna-ket berilgan, bunda a₁=40 va a_k+1=a_k-k, k∈N a₈ ni toping.

A) 13

B) 35

C) 12

D) 32

10 / 40

10. Berilgan chizmadan ning gradus oʻlchamini toping.

A) 76

B) 84

C) 72

D) 86

11 / 40

11. Piramidaning asosi tomoni 4√3 va o‘tkir burchagi 45° ga teng bo’lgan rombdan iborat. Ushbu piramidaga ichki chizilgan konusning yasovchisi asos tekisligi bilan 60° li burchak tashkil etadi. Konusning hajmini toping.

A) 6√2π

B) 6√3π

C) 3π

D) 6π

12 / 40

12. Noaniq integralni toping. ∫(sin²x+cos²x)dx

A) x/2+c

B) x+c

C) 4x+c

D) 2x+c

13 / 40

13. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0,25

C) 0,5

D) 0

14 / 40

14. 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

15 / 40

15. 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

16 / 40

16. 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) 10

C) 11

D) 12

17 / 40

17. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x-7)/2

C) (x+3)/2

D) (x-3)/3

18 / 40

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

A) IV

B) I

C) II

D) III

19 / 40

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

A) 4

B) 2

C) 3

D) 1

20 / 40

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

A) 15

B) 12

C) 16

D) 14

21 / 40

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

A) 12π

B) 18π

C) 6π

D) 24π

22 / 40

22. 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) 25

B) 16

C) 36

D) 49

23 / 40

23. 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) 5

D) 2

24 / 40

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

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

B) 2bdx+2bd

C) 2x(b+d)

D) 2x+3b+4d

25 / 40

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

A) 2 sm;

B) 4 sm;

C) 3 sm;

D) 2 m;

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;0

B) -1;-2

C) -1; 0

D) -1; 2

27 / 40

27. Ikki natural sonning kvadratlarining o'rta arifmetigi 34 ga, o'rta geometrigi esa 8 ga teng. Shu sonlarning yig'indisini yarmini toping toping.

A) 7

B) 14

C) 9

D) 6

28 / 40

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

A) 12

B) 18

C) 27

D) 48

29 / 40

29. funksiyaga teskari funksiyani toping.

A) IV

B) III

C) I

D) II

30 / 40

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

A) -2

B) 0

C) 1

D) 2

31 / 40

31. Aniqmas integralni hisoblang.

A) ln(lnx)

B) ln(lnx)+c

C) lnx+c

D) xlnx-x+c

32 / 40

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

A) 2/3

B) 2/9

C) 4√2/9

D) 4√4/9

33 / 40

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

A) b²+b²/2π

B) b²/2π

C) b²-2π

D) b²-b²/2π

34 / 40

34. 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) 2π²

C) α²

D) π²/4

35 / 40

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

A) 1≤x≤2

B) -2≤x≤2

C) -2≤x≤0

D) 0≤x≤2

36 / 40

36. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 22/25

C) 24/25

D) 11/15

37 / 40

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

A) 5

B) 2

C) -1

D) 1

38 / 40

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

A) 1

B) 4√2/9

C) 2

D) 3

39 / 40

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

A) 3

B) log₂5

C) 2

D) log₅2

40 / 40

40. 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