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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

139 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. |x+1|=2|x–2| tenglamaning ildizlari yig’indisini toping.

A) 7

B) 6

C) 0

D) 5

2 / 40

2. Ushbu sistemaga ko'ra (ac+bd)² ni toping.

A) 2

B) 4

C) 1

D) 3

3 / 40

3. Quyidagi rasmda konus va silindr zaytun moyi bilanto`ldirilmoqda . Ikkala shaklning balandliklari va taglik doiralarining radiuslari teng uzunlikda 2sm . Shunga ko`ra idishga jami necha ?m³

A) 11π

B) (29π)/3

C) (28π)/3

D) (32π)/3

4 / 40

4. Integralni hisoblang:

A) 3

B) 1

C) 4

D) 2

5 / 40

5. Barcha ikki xonali sonlar ko‘paytmasi 4 ning qanday eng katta darajasiga bo‘linadi?

A) 45

B) 44

C) 43

D) 42

6 / 40

6. Tenglamalar sistemasidan foydalanib x + 3y ni toping.

A) 4

B) 6

C) 5

D) 8

7 / 40

7. Ko‘pyoqning 62 ta yog‘i va 120 ta uchi bor bo‘lsa, uning qirralari sonini toping.

A) 182

B) 58

C) 60

D) 180

8 / 40

8. sin²(π/4-x) = 1/8 tenglikdan foydalanib sin2x ni toping.

A) 1/4

B) 3/4

C) 2/3

D) 1/2

9 / 40

9. ABC uchburchakning har bir tomoni chizmada ko’rsatilgandek o’z uzunligiga bir yarim barobarga teng uzunlikda davom ettirilgan. Agar SABC=12 bo’lsa, SA1B1C1 ni toping.

A) 132

B) 130

C) 147

D) 135

10 / 40

10. Qaysi javobda tengsizlik ishorasi to’gri ko’rsatilgan:

A) 2

B) 1

C) 3

D) 4

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+3

B) x(x-1)

C) x

D) x-2

12 / 40

12. Tenglamani yeching.

A) 1

B) 5

C) 0

D) 2

13 / 40

13. 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

14 / 40

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

A) 2

B) 3

C) 4

D) 1

15 / 40

15. 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) 3π²/4

D) 2π²

16 / 40

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

A) 12

B) 48

C) 18

D) 27

17 / 40

17. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-3)/3

B) (x-2)/3

C) (x-7)/2

D) (x+3)/2

18 / 40

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

A) 1≤x≤2

B) 0≤x≤2

C) -2≤x≤0

D) -2≤x≤2

19 / 40

19. 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) 7

D) 14

20 / 40

20. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0,25

C) 0,5

D) 0

21 / 40

21. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 24/25

C) 11/15

D) 22/25

22 / 40

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

A) 5

B) 12

C) 10

D) 6

23 / 40

23. 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) 40

D) 36

24 / 40

24. 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;

25 / 40

25. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) lnx+c

C) ln(lnx)

D) ln(lnx)+c

26 / 40

26. 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

27 / 40

27. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) (3-b)/2b

B) 2b/(3-b)

C) 3b/(2+b)

D) b/(3-b)

28 / 40

28. 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

29 / 40

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

A) 1

B) 0

C) -2

D) 2

30 / 40

30. 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

31 / 40

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

A) 2

B) 1

C) 4√2/9

D) 3

32 / 40

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

A) 2x(b+d)

B) 2bdx+2bd

C) 2x+3b+4d

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

33 / 40

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

A) b²/2π

B) b²-b²/2π

C) b²-2π

D) b²+b²/2π

34 / 40

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

A) 12π

B) 18π

C) 24π

D) 6π

35 / 40

35. 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) 30

D) 5

36 / 40

36. 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

37 / 40

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

A) 2/3

B) 4√4/9

C) 2/9

D) 4√2/9

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) 6√3

B) 12

C) 12√3

D) 24√3

39 / 40

39. 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) 49

C) 16

D) 36

40 / 40

40. funksiyaga teskari funksiyani toping.