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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. ni 9 ga bo’lgandagi qoldiqning kvadratini toping.

A) 25

B) 4

C) 16

D) 9

2 / 40

2. f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)+2x²-1

B) f(x)=x²-4

C) f(x)=x²-x+5

D) f(x)=x²+3x+7

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) 20°

B) 30°

C) 10°

D) 40°

4 / 40

4. Hisoblang:

A) 0

B) 8

C) 4

D) 6

5 / 40

5. To‘g‘ri to‘rtburchakning 16 ga teng diagonali yon tomoni bilan 15° li burchak tashkil etadi. To‘rtburchak yuzini toping.

A) 42

B) 64

C) 48

D) 32

6 / 40

6. Birinchi raqami 2 boʻlgan va 1, 2, 3, 4 va 5 raqamlardan tashkil topgan uch xonali sonlar nechta?

A) 25

B) 10

C) 50

D) 20

7 / 40

7. 3 ni 14 ga bo‘lganda verguldan keyingi yettinchi raqamni toping.

A) 7

B) 5

C) 8

D) 6

8 / 40

8. Kubning diagonalidan ushbu diagonal bilan kesishmaydigan qirrasigacha bo‘lgan masofa 4 ga teng. Kubning hajmini toping.

A) 240√2

B) 180√2

C) 128√2

D) 144√2

9 / 40

9. y = 4x³-18x² + 24x -10 egri chizig‘iga qaysi nuqtalarida o‘tkazilgan urinmalar Ox o‘qiga parellel bo‘ladi?

A) (-2;2) va (1;0)

B) (-2;2) va (0;1)

C) (2;-2) va (1;0)

D) (2;-2) va (0;1)

10 / 40

10. Berilgan chizmadan foydalanib α + β ning qiymatini toping:

A) 30°

B) 75°

C) 45°

D) 60°

11 / 40

11. Agar bo‘lsa, y = ?

A) 2

B) 3

C) 8

D) 26

12 / 40

12. Chizmada nechta uchburchak tasvirlangan?

A) 48

B) 50

C) 52

D) 54

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) 5

B) 2

C) 30

D) 6

14 / 40

14. funksiyaga teskari funksiyani toping.

A) II

B) I

C) III

D) IV

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

A) I

B) III

C) II

D) IV

17 / 40

17. Hisoblang: sin10° •sin50° •sin70°

A) 0,5

B) 0

C) 0,125

D) 0,25

18 / 40

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

A) -1

B) 2

C) 1

D) 5

19 / 40

19. 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

20 / 40

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

A) 14

B) 12

C) 15

D) 16

21 / 40

21. 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)

22 / 40

22. 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

23 / 40

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

A) -2≤x≤0

B) 1≤x≤2

C) 0≤x≤2

D) -2≤x≤2

24 / 40

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

A) 2

B) 1

C) 3

D) 4√2/9

25 / 40

25. 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) 3π²/4

C) 2π²

D) π²/4

26 / 40

26. Aniqmas integralni hisoblang.

A) ln(lnx)+c

B) xlnx-x+c

C) ln(lnx)

D) lnx+c

27 / 40

27. 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; 0

C) -1;-2

D) -1; 2

28 / 40

28. 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) 9

C) 7

D) 14

29 / 40

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

A) 12

B) 5

C) 10

D) 6

30 / 40

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

A) 42

B) 20

C) 40

D) 36

31 / 40

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

A) 2/3

B) 4√2/9

C) 4√4/9

D) 2/9

32 / 40

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

A) 1

B) 2

C) -2

D) 0

33 / 40

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

A) 2 m;

B) 4 sm;

C) 3 sm;

D) 2 sm;

34 / 40

34. 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

35 / 40

35. 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) 49

B) 16

C) 25

D) 36

36 / 40

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

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

B) 2x+3b+4d

C) 2x(b+d)

D) 2bdx+2bd

37 / 40

37. 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

38 / 40

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

A) 1

B) 4

C) 2

D) 3

39 / 40

39. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 24/25

C) 22/25

D) 12/15

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) 12

B) 9

C) 10

D) 11