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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

82 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. tengsizlikni yeching.

A) x∈(-∞;5)∪(-3;1)

B) x∈(-3;1)

C) x∈(-5;1)

D) x∈(-∞;5)

2 / 40

2. tenglamaning ildizlari yig'indisini(agar ildizi bitta bo'lsa, o'zini) toping.

A) 0

B) 3

C) 1

D) 2

3 / 40

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

A) 64/5

B) 10

C) 16

D) 48/5

4 / 40

4. f(3x)=x+f(3x-3) va f(3)=1 bo'lsa, f(300) nechaga teng?

A) 600

B) 3600

C) 5050

D) 4800

5 / 40

5. Chizmadan foydalanib α ni toping.

A) 30°

B) 50°

C) 40°

D) 20°

6 / 40

tengsizlik o‘rinli bo‘ladigan a va b ning natural qiymatlari
yig‘indisini toping.

A) 5

B) 12

C) 17

D) 7

7 / 40

7. va ab = 2 bo‘lsa, (a +b)³ ni toping.

A) -64

B) 125

C) -27

D) 64

8 / 40

8. Agar cos9α = 4cosα bo'lsa, (4cos²3α-3)(4cos²α-3) ning qiymatini toping.

A) 8

B) 4

C) 16

D) 0

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 (0;1)

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

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

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

10 / 40

10. Hisoblang:

A) 71/91

B) 77/810

C) 7/18

D) 70/80

11 / 40

11. Piramidaning asosi tomoni 4√3 va o‘tkir burchagi 45° ga teng bo’lgan rombdan iborat. Ushbu piramidaga ichki chizilgan konusning yasovchisi asos tekisligi bilan 60° li burchak tashkil etadi. Konusning hajmini toping.

A) 6√3π

B) 6π

C) 3π

D) 6√2π

12 / 40

12. Arimetik progerssiyada s₁₂=354, P=a₁+a₂+...+a₁₁, Q=a₂+a₄+...+a₁₂ va P/Q=32/27 ga teng bo'lsa, d ni toping.

A) -3

B) -6

C) -4

D) -5

13 / 40

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

A) 1

B) 3

C) 2

D) 4√2/9

14 / 40

14. 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) 6√3

B) 12√3

C) 12

D) 24√3

15 / 40

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

A) I

B) III

C) IV

D) II

16 / 40

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

A) 36

B) 20

C) 42

D) 40

17 / 40

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

A) 48

B) 18

C) 27

D) 12

18 / 40

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

A) 4√4/9

B) 4√2/9

C) 2/9

D) 2/3

19 / 40

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

A) 5

B) 2

C) -1

D) 1

20 / 40

20. funksiyaga teskari funksiyani toping.

A) I

B) IV

C) III

D) II

21 / 40

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

A) 2

B) 1

C) 4

D) 3

22 / 40

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

A) -2

B) 1

C) 2

D) 0

23 / 40

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

A) 1≤x≤2

B) 0≤x≤2

C) -2≤x≤2

D) -2≤x≤0

24 / 40

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

A) 3π²/4

B) α²

C) π²/4

D) 2π²

25 / 40

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

A) 4 sm;

B) 2 m;

C) 2 sm;

D) 3 sm;

26 / 40

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

A) 2x(b+d)

B) 2bdx+2bd

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

D) 2x+3b+4d

27 / 40

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

A) 18π

B) 12π

C) 6π

D) 24π

28 / 40

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

A) log₂5

B) 3

C) log₅2

D) 2

29 / 40

29. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 24/25

C) 22/25

D) 12/15

30 / 40

30. 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

31 / 40

31. 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; 0

D) -1;-2

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) 5

B) 6

C) 30

D) 2

33 / 40

33. 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) 25

B) 36

C) 16

D) 49

34 / 40

34. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0,25

C) 0

D) 0,5

35 / 40

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

A) 12

B) 10

C) 6

D) 5

36 / 40

36. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) (3-b)/2b

C) b/(3-b)

D) 3b/(2+b)

37 / 40

37. 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

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) 10

B) 12

C) 11

D) 9

39 / 40

39. 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

40 / 40

40. Aniqmas integralni hisoblang.