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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. Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

A) 8

B) 24

C) 16

D) 32

2 / 40

2. funksiyaning qiymatlar to'plamini toping.

A) [-√2;0)∪(0;√2]

B) (-2√2;√2)

C) [-√2;√2]

D) [-√2;-1)∪(-1;1)∪(1;√2]

3 / 40

3. Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 5

B) 3

C) 4

D) 6

4 / 40

4. Agar bo‘lsa, m/n ni toping.

A) 3

B) 2

C) (1+√5)/2

D) 4

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) 96

C) 100

D) 105

6 / 40

6. Quyidagilardan qaysi birlari to‘g‘ri?

A) II va IV

B) I va V

C) I va III

D) I, III va V

7 / 40

7. Ifodani soddalashtiring:

A) 1

B) 0

C) √3

D) 2

8 / 40

8. Birinchi va oxirgi raqami juft bo‘lgan va 1000 ga bo‘linmaydigan barcha to‘rtxonali sonlar nechta?

A) 1996

B) 1800

C) 960

D) 1600

9 / 40

9. Tenglama nechta haqiqiy ildizga ega?

A) 1 ta

B) 2 ta

C) 3 ta

D) 4 ta

10 / 40

10. Quyidagi chizmada tasvirlangan radiusi 4 ga teng boʻlgan, 3 ta teng yarim aylanadagi A, B, C, D nuqtalar toʻgʻri toʻrtburchakning uchlari deb qabul qiling va boʻyalgan sohani yuzini toping.

A) 12π

B) 24

C) 8π

D) 32

11 / 40

11. sonning teskarisini toping.

A) 2/9

B) 1/9

C) 9

D) -9

12 / 40

12. Hisoblang.

A) 5/3

B) 2/3

C) 3/2

D) 3/5

13 / 40

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

A) 4

B) 1

C) 2

D) 3

14 / 40

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

A) 5

B) 30

C) 2

D) 6

15 / 40

15. Aniqmas integralni hisoblang.

A) ln(lnx)+c

B) lnx+c

C) ln(lnx)

D) xlnx-x+c

16 / 40

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

A) 2x(b+d)

B) 2x+3b+4d

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

D) 2bdx+2bd

17 / 40

17. 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; 0

D) -1;-2

18 / 40

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

A) 12

B) 14

C) 15

D) 16

19 / 40

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

A) 0≤x≤2

B) 1≤x≤2

C) -2≤x≤0

D) -2≤x≤2

20 / 40

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

A) 1

B) 2

C) 0

D) -2

21 / 40

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

A) 2

B) 3

C) log₅2

D) log₂5

22 / 40

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

A) 2/3

B) 4√2/9

C) 4√4/9

D) 2/9

23 / 40

23. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 22/25

C) 12/15

D) 11/15

24 / 40

24. 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

D) 12√3

25 / 40

25. 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) 25

C) 36

D) 49

26 / 40

26. funksiyaga teskari funksiyani toping.

A) I

B) II

C) III

D) IV

27 / 40

27. 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

28 / 40

28. 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

29 / 40

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

A) 24π

B) 6π

C) 18π

D) 12π

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) 3π²/4

C) α²

D) 2π²

31 / 40

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

A) IV

B) III

C) II

D) I

32 / 40

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

A) 2 sm;

B) 3 sm;

C) 2 m;

D) 4 sm;

33 / 40

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

A) 5

B) 6

C) 10

D) 12

34 / 40

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

A) 1

B) 3

C) 2

D) 4√2/9

35 / 40

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

A) 12

B) 48

C) 27

D) 18

36 / 40

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

A) 2

B) 5

C) -1

D) 1

37 / 40

37. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0

C) 0,5

D) 0,125

38 / 40

38. 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)

39 / 40

39. 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) 11

D) 10

40 / 40

40. 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