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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. tengsizlikning barcha butun yechimlari yig‘indisining natural bo’luvchilari yig‘indisi topilsin.

A) 28

B) 21

C) 32

D) 24

2 / 40

2. f(x)=3^x-2 funksiyaning qiymatlar sohasini toping.

A) (-1; ∞)

B) (-2; ∞)

C) (0; ∞)

D) [-1; ∞)

3 / 40

3. Hisoblang 200−199+198−197+⋯+4−3

A) 98

B) 101

C) 99

D) 100

4 / 40

4. Hisoblang:

A) 6

B) 4

C) 0

D) 8

5 / 40

5. Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 4√7

B) 10

C) 8

D) 6√7

6 / 40

6. |x² -5ax|=15a tenglama bitta musbat va 3 ta manfiy ildizga ega bo‘ladigan a larni toping.

A) 2,4

B) Ø

C) (2,4;∞)

D) 4,4

7 / 40

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

A) 23

B) 20

C) 26

D) 25

8 / 40

8. sin²(π/4-x) = 1/8 tenglikdan foydalanib sin2x ni toping.

A) 1/4

B) 2/3

C) 1/2

D) 3/4

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) 2

D) 1

10 / 40

10. Qaysi rasmda y=sin2x grafigi [-π;π] da to’gri tasvirlangan.

A) 4

B) 3

C) 2

D) 1

11 / 40

11. Qavariq to‘rtburchakning diagonallari 3 va 4 ga teng. Agar qarama-qarshi tomonlarining o‘rtalarini tutashtirishdan hosil bo‘lgan kesmalar uzunliklari o‘zaro teng bo‘lsa, qavariq to‘rtburchakning yuzini toping.

A) 6

B) 4

C) 5

D) 1

12 / 40

12. Agar bo'lsa f(x)=?

A) x²-2

B) x²-1

C) x²+2

D) 2x²-1

13 / 40

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

A) IV

B) II

C) I

D) III

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. funksiyaga teskari funksiyani toping.

A) III

B) II

C) I

D) IV

16 / 40

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

A) 2

B) log₅2

C) 3

D) log₂5

17 / 40

17. 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) 12

C) 24√3

D) 6√3

18 / 40

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

A) 0≤x≤2

B) -2≤x≤0

C) -2≤x≤2

D) 1≤x≤2

19 / 40

19. 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

20 / 40

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

A) 2

B) 6

C) 30

D) 5

21 / 40

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

A) 2

B) 3

C) 4√2/9

D) 1

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) 49

B) 25

C) 16

D) 36

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) 36

B) 40

C) 20

D) 42

24 / 40

24. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) 3b/(2+b)

C) b/(3-b)

D) (3-b)/2b

25 / 40

25. 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

26 / 40

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

A) 18

B) 12

C) 27

D) 48

27 / 40

27. Aniqmas integralni hisoblang.

A) ln(lnx)

B) xlnx-x+c

C) lnx+c

D) ln(lnx)+c

28 / 40

28. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0

C) 0,5

D) 0,25

29 / 40

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

A) 2 m;

B) 2 sm;

C) 3 sm;

D) 4 sm;

30 / 40

30. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x-2)/3

C) (x+3)/2

D) (x-3)/3

31 / 40

31. 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) π²/4

C) 2π²

D) 3π²/4

32 / 40

32. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 24/25

C) 11/15

D) 22/25

33 / 40

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

A) 15

B) 14

C) 12

D) 16

34 / 40

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

A) 0

B) -2

C) 2

D) 1

35 / 40

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

A) 3

B) 1

C) 4

D) 2

36 / 40

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

A) 4√4/9

B) 2/9

C) 4√2/9

D) 2/3

37 / 40

37. 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; 2

C) -1; 0

D) 1;0

38 / 40

38. 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) 11

B) 9

C) 12

D) 10

39 / 40

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

A) 6π

B) 18π

C) 12π

D) 24π

40 / 40

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