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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, y = ?

A) 2

B) 26

C) 3

D) 8

2 / 40

2. a va b musbat sonlari uchun a^lnb·b^lna+a^lnb+b^lnabo'lsa, (lna)·(lnb)=?

A) ln3

B) ln4

C) ln2

D) ln5

3 / 40

3. AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

A) 40°

B) 10°

C) 20°

D) 30°

4 / 40

4. Quyidagi sonini 9 ga bo‘lganda qoladigan qoldiqni toping.

A) 0

B) 1

C) 8

D) 5

5 / 40

5. Barcha ikki xonali sonlar ko‘paytmasi 4 ning qanday eng katta darajasiga bo‘linadi?

A) 42

B) 44

C) 43

D) 45

6 / 40

6. ni hisoblang.

A) 2

B) 3

C) 1

D) 4

7 / 40

7. T= 1·1!+2·2!+ 3· 3!+ ...+ 19·19! T bo‘lsa, T +1 yig‘indi nechta 0 bilan tugaydi?

A) 3

B) 2

C) 4

D) 1

8 / 40

8. Agar a,b>0 sonlari uchun f(a·b) = f(a) + f(b) tengligi, p – tub sonlari uchun esa f(p)=p tengligi
qanoatlantirilsa, u holda f(25/11) ning qiymatini toping.

A) -1

B) 21

C) 11

D) 1

9 / 40

9. Hisoblang: 6,34757575…+0,0434343…

A) 8,54(25)

B) 6,39(10)

C) 7,42(2)

D) 3,87(52)

10 / 40

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

A) 3

B) 1

C) 4

D) 2

11 / 40

11. Quyidagi tenglikdan a ni toping.

A) 1/48

B) 1/64

C) 1/16

D) 1/4

12 / 40

12. Hisoblang.

A) 1

B) 2

C) -1

D) 0

13 / 40

13. Aniqmas integralni hisoblang.

A) ln(lnx)

B) xlnx-x+c

C) ln(lnx)+c

D) lnx+c

14 / 40

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

A) 2x(b+d)

B) 2x+3b+4d

C) 2bdx+2bd

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

15 / 40

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

A) 12

B) 48

C) 18

D) 27

16 / 40

16. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 22/25

C) 12/15

D) 11/15

17 / 40

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

A) 1

B) 2

C) 3

D) 4√2/9

18 / 40

18. 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

19 / 40

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

A) b²-b²/2π

B) b²+b²/2π

C) b²-2π

D) b²/2π

20 / 40

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

A) 2

B) 3

C) 1

D) 4

21 / 40

21. 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

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) 16

B) 25

C) 49

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) 20

B) 42

C) 36

D) 40

24 / 40

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

A) 4 sm;

B) 2 sm;

C) 2 m;

D) 3 sm;

25 / 40

25. funksiyaga teskari funksiyani toping.

A) I

B) III

C) II

D) IV

26 / 40

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

A) log₂5

B) 2

C) 3

D) log₅2

27 / 40

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

A) 16

B) 15

C) 12

D) 14

28 / 40

28. 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; 2

D) 1;0

29 / 40

29. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-3)/3

B) (x+3)/2

C) (x-2)/3

D) (x-7)/2

30 / 40

30. Hisoblang: sin10° •sin50° •sin70°

A) 0

B) 0,125

C) 0,25

D) 0,5

31 / 40

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

A) -2

B) 2

C) 1

D) 0

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) 30

C) 5

D) 6

33 / 40

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

A) 2/3

B) 4√4/9

C) 4√2/9

D) 2/9

34 / 40

34. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 3b/(2+b)

B) b/(3-b)

C) (3-b)/2b

D) 2b/(3-b)

35 / 40

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

A) 5

B) 10

C) 12

D) 6

36 / 40

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

A) 14

B) 9

C) 6

D) 7

37 / 40

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

A) 24π

B) 6π

C) 18π

D) 12π

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) 9

B) 12

C) 10

D) 11

39 / 40

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

A) 1≤x≤2

B) -2≤x≤0

C) 0≤x≤2

D) -2≤x≤2

40 / 40

40. sin²α+ sin²β= 1 tenglamada 0<α<π/2 va 0<β<π/2 bo’lsa, α²+π²/2+β²+2αβ ni hisoblang.