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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

128 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. Agar $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 11

B) 35

C) 12

D) 4

2 / 40

2. Agar a>0 bo'lsa, funksiyaning vertikal asimptotasini toping.

A) y=1-a

B) y=-a

C) x=a

D) x=-a

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) (29π)/3

B) (32π)/3

C) (28π)/3

D) 11π

4 / 40

4. Tenglamalar sistemasidan foydalanib x + y + z ni toping:

A) 10

B) 8

C) berilganlar yetarli emas

D) 6

5 / 40

5. ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

A) 6

B) 10

C) 12

D) 8

6 / 40

6. Yuzi 24 ga teng bo‘lgan to‘g‘ri burchakli uchburchakning gipotenuzasiga tushirilgan medianasi va balandligi 0,2 ga farq qiladi. Gipotenuza uzunligini toping.

A) 13

B) 20

C) 10

D) 17

7 / 40

7. |x²-5ax|=15a tenglama bitta manfiy va 3 ta musbat ildizga ega bo‘ladigan a larni toping.

A) (0;2,4]

B) (2,4;∞)

C) (0; 2,5]

D) [2,5;∞)

8 / 40

8. Agar a,b>0 sonlari uchun f(a·b) = f(a) + f(b) tengligi, p – tub sonlari uchun esa f(p)=p tengligi
qanoatlantirilsa, u holda f(25/11) ning qiymatini toping.

A) 21

B) 11

C) 1

D) -1

9 / 40

9. 11²⁰²² ni 13 ga bo‘lganda qoladigan qoldiqni aniqlang.

A) 3

B) 12

C) 7

D) 1

10 / 40

10. Rasmda tasvirlangan favvora ko‘rinishi y=-x(x+6) ko'rinishda bo'lsa, favvora eng ko’pi bilan qaysi balandlikga ko’tarila oladi. (Koordinata Oy o’qi , suv yuzasida joylashgan)

A) Hisoblab bo'lmaydi

B) 8

C) 6

D) 9

11 / 40

11. Funksiyaning aniqlanish sohasini toping.

A) (-3;3)

B) {3}

C) Ø

D) (-∞;-3)∪(3;∞)

12 / 40

12. Hisoblang.

A) 133

B) 131

C) 135

D) 121

13 / 40

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

A) 5

B) 10

C) 6

D) 12

14 / 40

14. 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) 36

C) 25

D) 49

15 / 40

15. 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)

16 / 40

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

A) 4√2/9

B) 2

C) 1

D) 3

17 / 40

17. 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) 7

D) 9

18 / 40

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

A) 1≤x≤2

B) -2≤x≤2

C) -2≤x≤0

D) 0≤x≤2

19 / 40

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

A) 16

B) 15

C) 12

D) 14

20 / 40

20. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 22/25

C) 11/15

D) 24/25

21 / 40

21. Aniqmas integralni hisoblang.

A) ln(lnx)

B) xlnx-x+c

C) ln(lnx)+c

D) lnx+c

22 / 40

22. 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

23 / 40

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

A) 2x+3b+4d

B) 2bdx+2bd

C) 2x(b+d)

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

24 / 40

24. 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

25 / 40

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

A) 2

B) 6

C) 5

D) 30

26 / 40

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

A) 2

B) 1

C) -1

D) 5

27 / 40

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

A) 2/3

B) 4√2/9

C) 2/9

D) 4√4/9

28 / 40

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

A) 0

B) 2

C) -2

D) 1

29 / 40

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

A) 12

B) 18

C) 27

D) 48

30 / 40

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

A) 2 m;

B) 3 sm;

C) 4 sm;

D) 2 sm;

31 / 40

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

A) 36

B) 42

C) 20

D) 40

32 / 40

32. 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√3

B) 6√3

C) 24√3

D) 12

33 / 40

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

A) IV

B) I

C) III

D) II

34 / 40

34. 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) 11

B) 10

C) 12

D) 9

35 / 40

35. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0,5

C) 0,25

D) 0

36 / 40

36. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?