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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. Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

A) 24

B) 16

C) 32

D) 8

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2. cosx=0,2x tenglama nechta yechimga ega?

A) 2

B) 4

C) 1

D) 3

3 / 40

3. Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

A) 7

B) 9

C) 8

D) 6

4 / 40

4. x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 48

B) 32

C) 64

D) 16

5 / 40

5. P(x)=x¹ºº ko‘phadni x³-3x+2 ga bo‘lganda qoladigan qoldiqni toping.

2¹ºº-1
(2¹ºº-1)x+2(2⁹⁹-1)
(2¹ºº-1)x-2(2⁹⁹-1)
2¹ººx-3·2¹⁰⁰

A) 2

B) 4

C) 1

D) 3

6 / 40

6. Yuzi 24 ga teng bo‘lgan to‘g‘ri burchakli uchburchakning gipotenuzasiga tushirilgan medianasi va balandligi 0,2 ga farq qiladi. Gipotenuza uzunligini toping.

A) 17

B) 13

C) 20

D) 10

7 / 40

7. bo‘lsa, f ''(1) ning qiymatini toping.

A) 12

B) -24

C) 0

D) -12

8 / 40

8. Agar bo‘lsa, √200 ni x orqali ifodalang.

A) 4(x²-)

B) 2(x²-1)

C) 4(x+1)

D) 2(1-x²)

9 / 40

9. Agar arifmetik progressiyada bo‘lsa, dastlabki 10 ta hadining yig‘indisini toping.

A) 160 yoki 317

B) 155 yoki 245

C) 150 yoki 245

D) 153 yoki 317

10 / 40

10. Bo‘yalgan yuzani toping. (cm²)

A) Aniqlab bo‘lmaydi

B) 16

C) 18

D) 12

11 / 40

11. a<0 ifodani soddalashtiring.

A) -1

B) -3

C) 0

D) -2

12 / 40

12. Hisoblang.

A) 24+3b

B) 14-2b

C) 26-3b

D) 24-3b

13 / 40

13. Aniqmas integralni hisoblang.

A) ln(lnx)+c

B) ln(lnx)

C) lnx+c

D) xlnx-x+c

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14. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0,5

C) 0,125

D) 0

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

A) 27

B) 12

C) 48

D) 18

16 / 40

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

A) 2bdx+2bd

B) 2x(b+d)

C) 2x+3b+4d

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

17 / 40

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

A) -2≤x≤0

B) 1≤x≤2

C) -2≤x≤2

D) 0≤x≤2

18 / 40

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

A) 14

B) 16

C) 12

D) 15

19 / 40

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

A) 1

B) 3

C) 4√2/9

D) 2

20 / 40

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

A) 2 m;

B) 4 sm;

C) 2 sm;

D) 3 sm;

21 / 40

21. funksiyaga teskari funksiyani toping.

A) I

B) IV

C) II

D) III

22 / 40

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

A) 9

B) 6

C) 14

D) 7

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) 20

B) 42

C) 36

D) 40

24 / 40

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

A) II

B) IV

C) I

D) III

25 / 40

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

A) 1

B) 2

C) 0

D) -2

26 / 40

26. 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

27 / 40

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

A) 6π

B) 12π

C) 18π

D) 24π

28 / 40

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

A) 2/9

B) 4√2/9

C) 2/3

D) 4√4/9

29 / 40

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

A) log₅2

B) log₂5

C) 3

D) 2

30 / 40

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

A) 2

B) 3

C) 1

D) 4

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) 2π²

B) 3π²/4

C) π²/4

D) α²

32 / 40

32. 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) 30

D) 6

33 / 40

33. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-3)/3

B) (x-7)/2

C) (x-2)/3

D) (x+3)/2

34 / 40

34. 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

35 / 40

35. 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) 10

C) 9

D) 12

36 / 40

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

A) 5

B) 6

C) 10

D) 12

37 / 40

37. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 11/15

C) 22/25

D) 24/25

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) 12√3

B) 24√3

C) 12

D) 6√3

39 / 40

39. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) b/(3-b)

B) 2b/(3-b)

C) (3-b)/2b

D) 3b/(2+b)

40 / 40

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