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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. Teng yonli trapetsiya asosidagi burchakning sinusi 0,6 ga, asoslarining ayirmasi 4 ga teng bo‘lsa, trapetsiyaning yon tomonini toping.

A) 4

B) 2

C) 2,5

D) 3

2 / 40

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

A) ln2

B) ln5

C) ln4

D) ln3

3 / 40

3. Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 16

B) 64/5

C) 48/5

D) 10

4 / 40

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

A) 32

B) 16

C) 48

D) 64

5 / 40

5. a_n - arifmetik progressiyaning umumiy hadi bo‘lsa, quyidagi nisbatni toping:

A) 6

B) 5

C) 8

D) 7

6 / 40

6. y = x²+ 2 va y = x² + 3x parabolalar va x=1, x =2 to‘g‘ri chiziqlar bilan chegaralangan shaklni yuzini toping.

A) 5/3

B) 7/2

C) 7/3

D) 5/2

7 / 40

7. ni hisoblang.

A) 3

B) 15

C) 0,3

D) 30

8 / 40

8. a va b natural sonlar. 10! = a · 2b tenglikda b ning qabul qilishi mumkin bo‘lgan qiymatlari yig‘indisini toping.

A) 21

B) 15

C) 8

D) 36

9 / 40

9. x² - 4|x|-a - 3 = 0 tenglama ikkita yechimga ega bo‘ladigan barcha butun manfiy a lar nechta?

A) 1

B) 0

C) 3

D) 2

10 / 40

10. AB masofani toping ?

A) √29

B) √24

C) √30

D) √27

11 / 40

11. Tengsizlikni yeching:

A) (-∞;8)

B) (-∞;1/8)

C) (0;8)

D) (8;+∞)

12 / 40

12. (tgx-2ctgx)⁴ yoyilmaning ozod hadini toping.

A) 25

B) 58

C) 24

D) 6

13 / 40

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

A) 30

B) 5

C) 2

D) 6

14 / 40

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

A) 0

B) -2

C) 2

D) 1

15 / 40

15. 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

16 / 40

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

A) I

B) II

C) III

D) IV

17 / 40

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

A) 1≤x≤2

B) 0≤x≤2

C) -2≤x≤0

D) -2≤x≤2

18 / 40

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

A) 40

B) 36

C) 20

D) 42

19 / 40

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

A) 12

B) 15

C) 16

D) 14

20 / 40

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

A) 4√2/9

B) 2

C) 3

D) 1

21 / 40

21. funksiyaga teskari funksiyani toping.

A) I

B) III

C) IV

D) II

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) 36

B) 25

C) 49

D) 16

23 / 40

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

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

B) 2x(b+d)

C) 2x+3b+4d

D) 2bdx+2bd

24 / 40

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

A) 18

B) 48

C) 12

D) 27

25 / 40

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

A) 3 sm;

B) 2 sm;

C) 4 sm;

D) 2 m;

26 / 40

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

A) 12

B) 6

C) 10

D) 5

27 / 40

27. 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

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; 2

B) -1; 0

C) -1;-2

D) 1;0

29 / 40

29. 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

30 / 40

30. Aniqmas integralni hisoblang.

A) lnx+c

B) ln(lnx)

C) xlnx-x+c

D) ln(lnx)+c

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) π²/4

B) α²

C) 3π²/4

D) 2π²

32 / 40

32. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x-3)/3

C) (x-2)/3

D) (x+3)/2

33 / 40

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

A) 2

B) 3

C) log₂5

D) log₅2

34 / 40

34. 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

35 / 40

35. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0

C) 0,125

D) 0,5

36 / 40

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

A) 6π

B) 18π

C) 24π

D) 12π

37 / 40

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

A) 4√2/9

B) 4√4/9

C) 2/9

D) 2/3

38 / 40

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

A) 2

B) 3

C) 1

D) 4

39 / 40

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

A) 3b/(2+b)

B) 2b/(3-b)

C) b/(3-b)

D) (3-b)/2b

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) 6√3

C) 12√3

D) 24√3