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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 bo'lsa, x ni toping.

A) -5

B) 5

C) -2

D) 2

2 / 40

2. funksiyaning qiymatlar to'plamini toping.

A) [-√2;√2]

B) [-√2;0)∪(0;√2]

C) [-√2;-1)∪(-1;1)∪(1;√2]

D) (-2√2;√2)

3 / 40

3. Hisoblang 200−199+198−197+⋯+4−3

A) 100

B) 99

C) 98

D) 101

4 / 40

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

A) 4800

B) 600

C) 5050

D) 3600

5 / 40

5. 3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 25

B) 105

C) 100

D) 96

6 / 40

6. Tenglamani yeching:

A) 7

B) 8

C) 10

D) 9

7 / 40

7. Kasrni hisoblang:

A) -14/3

B) 14/3

C) 0

D) -5

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) 0,8

C) 0,2

D) 0,6

9 / 40

9. Tengsizlikni yeching:

A) (2;6)∪(6;∞)

B) (6;∞)

C) (2;6)

D) (-∞;-2) ∪(6;∞)

10 / 40

10. Hisoblang.

A) 0

B) 2

C) -1

D) 1

11 / 40

11. a ning qanday qiymatida 3a + ax + (-x² )= 0 tenglama o‘zaro teng ildizlarga ega bo‘ladi?

A) a=0

B) a=0; a=12

C) a=0; a=-12

D) a=12

12 / 40

12. Hisoblang.

A) 0

B) -1

C) 1

D) 2

13 / 40

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

A) 4√2/9

B) 2/9

C) 2/3

D) 4√4/9

14 / 40

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

A) IV

B) II

C) III

D) I

15 / 40

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

A) 10

B) 12

C) 5

D) 6

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) 40

B) 42

C) 20

D) 36

17 / 40

17. Silindr yon sirtining yoyilmasi tomoni b ga teng kvadratdan iborat. Silindir to’la sirtini toping.

A) b²-2π

B) b²-b²/2π

C) b²+b²/2π

D) b²/2π

18 / 40

18. 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

19 / 40

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

A) 1

B) 4

C) 2

D) 3

20 / 40

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

A) 1≤x≤2

B) 0≤x≤2

C) -2≤x≤0

D) -2≤x≤2

21 / 40

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

A) 30

B) 6

C) 2

D) 5

22 / 40

22. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x+3)/2

C) (x-7)/2

D) (x-3)/3

23 / 40

23. 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) 14

C) 9

D) 7

24 / 40

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

A) 0

B) -2

C) 1

D) 2

25 / 40

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

A) 2bdx+2bd

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

C) 2x+3b+4d

D) 2x(b+d)

26 / 40

26. 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

27 / 40

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

A) 1

B) 4√2/9

C) 3

D) 2

28 / 40

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

A) 3 sm;

B) 2 sm;

C) 4 sm;

D) 2 m;

29 / 40

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

A) -1

B) 1

C) 5

D) 2

30 / 40

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

A) 14

B) 16

C) 12

D) 15

31 / 40

31. 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) 12√3

C) 24√3

D) 6√3

32 / 40

32. 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) 2π²

C) α²

D) π²/4

33 / 40

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

A) 18π

B) 6π

C) 12π

D) 24π

34 / 40

34. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)+c

C) lnx+c

D) ln(lnx)

35 / 40

35. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) b/(3-b)

C) (3-b)/2b

D) 3b/(2+b)

36 / 40

36. 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

37 / 40

37. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0

C) 0,5

D) 0,25

38 / 40

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