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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. Agar ni hisoblang.

A) Cheksiz

B) 8

C) 9

D) 0

2 / 40

2. x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 27

B) 32

C) 26

D) 48

3 / 40

3. Eldor velosipetida 13m/s bilan 3 soniyada 15m tepalikka ko`tarilgan bo`lsa AC kesma uzunligi necha metr?

A) 34

B) 36

C) 32

D) 40

4 / 40

4. 1, 1, 2, 3, 5, 8, 13, … ketma-ketlikning umumiy hadi an bo‘lsa, quyidagilardan qaysi biri to‘g‘ri?

A) 1

B) 2

C) 3

D) 4

5 / 40

5. Tenglamani yeching:

A) -6; 5

B) 5

C) 6; -5

D) -6

6 / 40

6. Taqqoslang: x = 3⁵¹, y = 5³⁴ , z = 2⁸⁵

A) y>z>x

B) z>x>y

C) y>x>z

D) z>y>x

7 / 40

7. Tengsizlikning manfiy yechimlari o‘rta arifmetigini toping.

A) -1

B) -2

C) -1,5

D) -3

8 / 40

8. Agar N = 34·34·63·270 sonning toq bo‘luvchilari yig‘indisining, juft bo‘luvchilari yig‘indisiga nisbatini toping.

A) 1:15

B) 1:16

C) 1:13

D) 1:14

9 / 40

9. ABCD parallelogrammning A va D uchlari M tekislikda, B va C uchlari uning tashqarisida, AD = 10 cm, AB = 15 cm, AC va BD diagonallarining M tekislikdagi proyeksiyalari mos ravishda 13,5 cm va 10,5 cm ga teng. Parallelogrammning diagonallarini toping.

A) 20, 17

B) 19, 18

C) 20, 16

D) 19, 17

10 / 40

10. f(x) va g(x) funksiyalar f(x)+(x-2)·g(x)=x²+5 bog’lanishda va f(3)=10 bo’lsa, g^-1 (4) ning qiymatini toping.(g^-1 (x)-g(x) ga teskari funksiya)

A) 4

B) 2

C) 6

D) 3

11 / 40

11. Tengsizlikni yeching:

A) (8;+∞)

B) (-∞;8)

C) (-∞;1/8)

D) (0;8)

12 / 40

12. Tengsizlikni yeching.

A) x∈(0;1000)

B) x∈[0;1000]

C) x∈(10;1000)

D) x∈(1;1000]

13 / 40

13. 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

14 / 40

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

A) 1

B) 3

C) 2

D) 4

15 / 40

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

A) 4√2/9

B) 1

C) 3

D) 2

16 / 40

16. Aniqmas integralni hisoblang.

A) ln(lnx)

B) lnx+c

C) xlnx-x+c

D) ln(lnx)+c

17 / 40

17. 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) 36

C) 25

D) 49

18 / 40

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

A) 0

B) -2

C) 1

D) 2

19 / 40

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

A) I

B) IV

C) II

D) III

20 / 40

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

A) 4√2/9

B) 4√4/9

C) 2/3

D) 2/9

21 / 40

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

A) 1≤x≤2

B) -2≤x≤2

C) 0≤x≤2

D) -2≤x≤0

22 / 40

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

A) 4 sm;

B) 2 sm;

C) 3 sm;

D) 2 m;

23 / 40

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

A) 2x(b+d)

B) 2x+3b+4d

C) 2bdx+2bd

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

24 / 40

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

A) log₅2

B) 2

C) 3

D) log₂5

25 / 40

25. 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

26 / 40

26. funksiyaga teskari funksiyani toping.

A) III

B) II

C) IV

D) I

27 / 40

27. 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

28 / 40

28. 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) 6√3

C) 24√3

D) 12

29 / 40

29. 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

30 / 40

30. 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) 2π²

D) 3π²/4

31 / 40

31. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x+3)/2

B) (x-7)/2

C) (x-2)/3

D) (x-3)/3

32 / 40

32. Hisoblang: sin10° •sin50° •sin70°

A) 0

B) 0,5

C) 0,125

D) 0,25

33 / 40

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

A) 6

B) 2

C) 5

D) 30

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. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 22/25

C) 12/15

D) 24/25

36 / 40

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

A) 12

B) 15

C) 14

D) 16

37 / 40

37. 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) 7

C) 6

D) 14

38 / 40

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

A) 27

B) 48

C) 12

D) 18

39 / 40

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

A) 5

B) 10

C) 6

D) 12

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