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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. 1:(2:3) son 1:2:3 sonidan qanchaga katta?

A) 9

B) 3

C) 6

D) 4/3

2 / 40

2. Qadam uzunligi deb biricnhi iz tovon oxiridan ikkinchi iz tovon oxirigacha bo'lgan masofaga aytiladi. Erkak kishi yurayotganda uning qadami va qadamlar soni orasidagi bog'lanish quyidagi formula bilan ifodalanadi: (n/P) = 140. Bu yerda n – bir minutdagi qadamlar soni. P – qadam uzunligi (m). Hikmat 1 minutda 70 qadam bossa, formula yordamida uning qadami uzunligini toping.

A) 0,9 m yoki 90 cm

B) 0,7 m yoki 70 cm

C) 0,6 m yoki 60 cm

D) 0,5 m yoki 50 cm

3 / 40

3. Quyidakilardan qaysi biri juft:

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

A) 4

B) 3

C) 1

D) 2

4 / 40

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

A) 64

B) 48

C) 16

D) 32

5 / 40

5. Hisoblang:

A) cos10°

B) 1

C) cos50°

D) sin10°

6 / 40

6. Tenglamani yeching: tg (2x + 3) = tg (3x - 2)

A) 1+πk, k∈Z

B) πk, k∈Z

C) 5+πk, k∈Z

D) 7+πk, k∈Z

7 / 40

7. sonining oxirgi raqamini toping.

A) 0

B) 3

C) 1

D) 9

8 / 40

8. 2²⁰²² raqamlar yig‘indisidan hosil bo‘lgan sonning raqamlar yig‘indisidan hosil bo‘lgan sonning raqamlar yig‘indisi hosil qilindi va hokazo. Oxirida bitta raqam qolgan bo‘lsa, shu raqamni toping.

A) 1

B) 7

C) 8

D) 0

9 / 40

9. Bir nechta natural sonlardan tuzilgan S to‘plam berilgan. Bu sonlarning o‘rta
arifmetigi eng kattasini hisobga olmaganda 32 ga, eng kichigini hisobga olmaganda 40 ga, eng kattasini ham eng kichigini ham hisobga olmaganda esa 35 ga teng. Agar eng katta son eng kichigidan 72 ga ortiq bo‘lsa, u holda S to‘plamdagi barcha sonlarning o‘rta arifmetigini toping.

A) 36,6

B) 36,2

C) 36,8

D) 36,4

10 / 40

10. Rasmda tasvirlangan favvora ko‘rinishi y=-x(x+6) ko'rinishda bo'lsa, favvora eng ko’pi bilan qaysi balandlikga ko’tarila oladi. (Koordinata Oy o’qi , suv yuzasida joylashgan)

A) 9

B) 6

C) 8

D) Hisoblab bo'lmaydi

11 / 40

11. Teng yonli trapetsiyaning diagionali o‘rta chizig‘ini 1 va 5 ga teng kesmalarga ajratadi. Trapetsiyaning yuzi 48 ga teng bo‘lsa, yon tomonini toping.

A) 4√5

B) 6

C) 5

D) 3√2

12 / 40

12. To'g'ri burchakli uchburchakka ichki va tashqi chizilgan aylanalar raduslari 6 va 15 ga teng bo'lsa, katetlar yig'indini toping.

A) 28

B) 35

C) 48

D) 42

13 / 40

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

A) 1

B) -2

C) 2

D) 0

14 / 40

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

A) 1

B) 4√2/9

C) 3

D) 2

15 / 40

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

A) 1

B) 2

C) 5

D) -1

16 / 40

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

A) 5

B) 2

C) 6

D) 30

17 / 40

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

A) 4√2/9

B) 4√4/9

C) 2/9

D) 2/3

18 / 40

18. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x+3)/2

C) (x-3)/3

D) (x-2)/3

19 / 40

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

A) 10

B) 5

C) 12

D) 6

20 / 40

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

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

B) 2x+3b+4d

C) 2bdx+2bd

D) 2x(b+d)

21 / 40

21. 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

22 / 40

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

A) 24π

B) 12π

C) 6π

D) 18π

23 / 40

23. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 24/25

C) 22/25

D) 11/15

24 / 40

24. 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) 6√3

D) 24√3

25 / 40

25. 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

26 / 40

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

A) 40

B) 42

C) 36

D) 20

27 / 40

27. Hisoblang: sin10° •sin50° •sin70°

A) 0,5

B) 0

C) 0,25

D) 0,125

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) α²

B) 2π²

C) π²/4

D) 3π²/4

29 / 40

29. 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

30 / 40

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

A) 18

B) 27

C) 12

D) 48

31 / 40

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

A) 1

B) 4

C) 2

D) 3

32 / 40

32. Aniqmas integralni hisoblang.

A) ln(lnx)+c

B) ln(lnx)

C) xlnx-x+c

D) lnx+c

33 / 40

33. funksiyaga teskari funksiyani toping.

A) III

B) I

C) IV

D) II

34 / 40

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

A) 3

B) 2

C) log₂5

D) log₅2

35 / 40

35. 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) 14

C) 9

D) 7

36 / 40

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

A) -2≤x≤2

B) 0≤x≤2

C) 1≤x≤2

D) -2≤x≤0

37 / 40

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

A) I

B) III

C) IV

D) II

38 / 40

38. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) b/(3-b)

C) (3-b)/2b

D) 3b/(2+b)

39 / 40

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

A) 2 sm;

B) 2 m;

C) 4 sm;

D) 3 sm;

40 / 40

40. 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) 11

C) 9

D) 12