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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. Yig’indi quydagilardan qaysi biriga teng?

A) 450,608

B) 45,0608

C) 40560,8

D) 4506,08

2 / 40

2. funksiyaning qiymatlar to'plamini toping.

A) [-√2;-1)∪(-1;1)∪(1;√2]

B) (-2√2;√2)

C) [-√2;0)∪(0;√2]

D) [-√2;√2]

3 / 40

3. Hisoblang 200−199+198−197+⋯+4−3

A) 100

B) 98

C) 99

D) 101

4 / 40

4. 2⁷⁵+3³⁰ sonini 41 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 0

B) 1

C) 9

D) 5

5 / 40

5. Rasmdagi shakl perimetrini toping.

A) 24

B) 32

C) 30

D) 28

6 / 40

6. Oktaedr to‘la sirtining yuzi 32√3 cm² bo‘lsa, uning har bir yog‘i yuzini toping.

A) 6√3

B) 4√3

C) 4

D) 8√3

7 / 40

7. (a∈N) a sonining qanday eng kichik qiymatida (65–a) ifoda mukammal sonlardan biriga teng bo‘ladi?

A) 17

B) 59

C) 37

D) 28

8 / 40

8. ABC to‘g‘ri burchakli uchburchakda ∠B =90° , BC = 28, AC =100 va AB tomonda D nuqta shunday olinganki BD = 21 bo‘ladi. sin (∠ACD) ?

A) 0,4

B) 0,2

C) 0,8

D) 0,6

9 / 40

9. {a_n} - ketna-ket berilgan, bunda a₁=40 va a_k+1=a_k-k, k∈N a₈ ni toping.

A) 13

B) 32

C) 35

D) 12

10 / 40

10. Quyida y=f(x+2) funksiya grafigi tasvirlangan. Barilgan malumotlardan foydalanib ning qiymatini toping

A) 3

B) 2

C) 1

D) -3

11 / 40

11. Agar A=x³+x²-2x, B=x⁴-x va C=x⁴+2x³-3x² bo'lsa, EKUB( A; B;C) ni toping.

A) x(x-1)

B) x+3

C) x-2

D) x

12 / 40

12. Tenglamani yeching:

A) 6

B) 2

C) 5,5

D) 2,5

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; 0

B) -1; 2

C) -1;-2

D) 1;0

14 / 40

14. 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

15 / 40

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

A) 2

B) 1

C) 4√2/9

D) 3

16 / 40

16. funksiyaga teskari funksiyani toping.

A) I

B) IV

C) II

D) III

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) 49

B) 36

C) 16

D) 25

18 / 40

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

A) 1

B) 0

C) 2

D) -2

19 / 40

19. 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

20 / 40

20. 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) 42

D) 20

21 / 40

21. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) 3b/(2+b)

C) b/(3-b)

D) (3-b)/2b

22 / 40

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

A) -2≤x≤0

B) -2≤x≤2

C) 0≤x≤2

D) 1≤x≤2

23 / 40

23. Aniqmas integralni hisoblang.

A) lnx+c

B) ln(lnx)

C) xlnx-x+c

D) ln(lnx)+c

24 / 40

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

A) IV

B) II

C) III

D) I

25 / 40

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

A) log₅2

B) 2

C) log₂5

D) 3

26 / 40

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

A) 18

B) 48

C) 12

D) 27

27 / 40

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

A) 24π

B) 12π

C) 18π

D) 6π

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) 14

D) 7

29 / 40

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

A) 4 sm;

B) 2 m;

C) 3 sm;

D) 2 sm;

30 / 40

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

A) 2x+3b+4d

B) 2bdx+2bd

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

D) 2x(b+d)

31 / 40

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

A) 14

B) 16

C) 15

D) 12

32 / 40

32. 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) 10

C) 9

D) 11

33 / 40

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

A) -1

B) 1

C) 2

D) 5

34 / 40

34. 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

35 / 40

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

A) 4

B) 2

C) 1

D) 3

36 / 40

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

A) 2/9

B) 4√4/9

C) 4√2/9

D) 2/3

37 / 40

37. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 22/25

C) 12/15

D) 11/15

38 / 40

38. 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) 24√3

B) 6√3

C) 12√3

D) 12

39 / 40

39. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x-2)/3

C) (x-3)/3

D) (x+3)/2

40 / 40

40. Hisoblang: sin10° •sin50° •sin70°