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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) 2,5

B) 2

C) 4

D) 3

2 / 40

2. Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) 2

B) 1

C) √3

D) √2

3 / 40

3. Soddalashtiring:

A) 1

B) 3

C) 2

D) Aniqlab bo`lmaydi

4 / 40

4. Dastlabki n ta hadining yig‘indisi formula bilan aniqlanadigan arifmetik progressiyaning 6-hadini toping.

A) 8

B) 6

C) 9

D) 10

5 / 40

5. P(x+1)=x³+3x²-2x+a+3 ko‘phadi berilgan. P(x+2) ko‘phadining koeffitsiyentlari yig‘indisini 8 ga teng bo‘lsa, a nechaga teng?

A) -4

B) -3

C) -6

D) 5

6 / 40

6. Tenglamani yeching:

A) 9

B) 7

C) 10

D) 8

7 / 40

7. x tomon uzunligini toping.

A) 1

B) 3

C) 2

D) √2

8 / 40

8. 5^x-3=2^3x-2 bo‘lsa, (2,56)^x-2 soni necha xonali son bo‘ladi?

A) 1 xonali

B) 4 xonali

C) 2 xonali

D) 3 xonali

9 / 40

9. f(f(2)) ni toping.

A) -1

B) 2

C) 0

D) 3

10 / 40

10. Berilgan tengsizlik uchun quyidagi oraliqlar to‘g‘ri ifodalanganmi?

A) Ha

B) Yo'q

11 / 40

11. Agar bo‘lsa, y = ?

A) 8

B) 2

C) 3

D) 26

12 / 40

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

A) x²+2

B) x²-2

C) 2x²-1

D) x²-1

13 / 40

13. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) b/(3-b)

B) (3-b)/2b

C) 3b/(2+b)

D) 2b/(3-b)

14 / 40

14. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 24/25

C) 22/25

D) 12/15

15 / 40

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

A) 6π

B) 12π

C) 24π

D) 18π

16 / 40

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

A) 6

B) 5

C) 12

D) 10

17 / 40

17. 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;

18 / 40

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

A) -1

B) 5

C) 1

D) 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. 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

21 / 40

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

A) -2

B) 1

C) 0

D) 2

22 / 40

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

A) 2bdx+2bd

B) 2x(b+d)

C) 2x+3b+4d

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

23 / 40

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

A) IV

B) II

C) I

D) III

24 / 40

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

A) 3

B) log₂5

C) 2

D) log₅2

25 / 40

25. 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

26 / 40

26. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x-7)/2

C) (x+3)/2

D) (x-3)/3

27 / 40

27. Aniqmas integralni hisoblang.

A) ln(lnx)

B) ln(lnx)+c

C) xlnx-x+c

D) lnx+c

28 / 40

28. Hisoblang: sin10° •sin50° •sin70°

A) 0,5

B) 0,125

C) 0

D) 0,25

29 / 40

29. 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) 2π²

C) 3π²/4

D) α²

30 / 40

30. 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) 49

C) 16

D) 25

31 / 40

31. 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) 12

D) 9

32 / 40

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

A) 4√2/9

B) 3

C) 1

D) 2

33 / 40

33. funksiyaga teskari funksiyani toping.

A) II

B) III

C) IV

D) I

34 / 40

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

A) 12

B) 48

C) 27

D) 18

35 / 40

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

A) 14

B) 12

C) 16

D) 15

36 / 40

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

A) 4√2/9

B) 2/3

C) 2/9

D) 4√4/9

37 / 40

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

A) 42

B) 40

C) 36

D) 20

38 / 40

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

A) 1≤x≤2

B) -2≤x≤2

C) -2≤x≤0

D) 0≤x≤2

39 / 40

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

A) 4

B) 1

C) 2

D) 3

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