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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. Teng yonli trapetsiya asosidagi burchakning sinusi 0,6 ga, asoslarining ayirmasi 4 ga teng bo‘lsa, trapetsiyaning yon tomonini toping.

A) 2,5

B) 2

C) 3

D) 4

2 / 40

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

A) y=1-a

B) x=-a

C) x=a

D) y=-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) (32π)/3

B) (28π)/3

C) (29π)/3

D) 11π

4 / 40

4. x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 16

B) 32

C) 48

D) 64

5 / 40

5. ABC to‘g‘ri burchakli uchburchakning og‘irlik markazi G nuqta. Bunda AB ⊥ BC, AG ⊥ GB va AG = 8 bo‘lsa, BG ni toping.

A) 3√2

B) 6

C) 4√3

D) 4√2

6 / 40

6. Teng yonli ABC (AC = BC) uchburchakning AC tomonida D nuqta olingan. K – BD kesma va AH baladlik kesishgan nuqta. Agar AD = AK bo‘lsa, DBA burchakni toping.

A) 45°

B) 60°

C) 75°

D) 30°

7 / 40

7. Tenglamaning haqiqiy ildizlari yig‘indisini (agar ildizi bitta bo‘lsa, o‘zini) toping.

A) 1

B) 8

C) 12

D) 9

8 / 40

8. f(g(x))=x² + 4x - 1, g(x)=x + a va f′(0)=1 bo'lsa, α ni toping.

A) 3,5

B) 1,5

C) 3

D) 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) 135

B) 130

C) 132

D) 147

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) 9

C) 6

D) 8

11 / 40

11. |x|+|y|<7 tengsizlikni nechta (x; y) butun sonlar juftligi qanotlantiradi?

A) 85

B) 14

C) 98

D) 49

12 / 40

12. Tenglamani yeching.

A) 4

B) 2

C) 3

D) 1

13 / 40

13. 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) 40

D) 20

14 / 40

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

A) 2x(b+d)

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

C) 2x+3b+4d

D) 2bdx+2bd

15 / 40

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

A) 3 sm;

B) 2 m;

C) 4 sm;

D) 2 sm;

16 / 40

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

A) -2≤x≤2

B) 1≤x≤2

C) 0≤x≤2

D) -2≤x≤0

17 / 40

17. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0

C) 0,25

D) 0,5

18 / 40

18. 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) 2π²

D) α²

19 / 40

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

A) 1

B) 4√2/9

C) 3

D) 2

20 / 40

20. sin(2arctg0,75) ni hisoblang

A) 22/25

B) 12/15

C) 24/25

D) 11/15

21 / 40

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

A) 2/9

B) 4√2/9

C) 2/3

D) 4√4/9

22 / 40

22. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x-2)/3

C) (x+3)/2

D) (x-3)/3

23 / 40

23. 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

24 / 40

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

A) IV

B) III

C) I

D) II

25 / 40

25. 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) 6√3

C) 12√3

D) 24√3

26 / 40

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

A) 10

B) 6

C) 5

D) 12

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) 7

B) 6

C) 9

D) 14

28 / 40

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

A) 27

B) 12

C) 18

D) 48

29 / 40

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

A) 0

B) 1

C) 2

D) -2

30 / 40

30. funksiyaga teskari funksiyani toping.

A) III

B) I

C) IV

D) II

31 / 40

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

A) 12π

B) 24π

C) 6π

D) 18π

32 / 40

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

A) 3

B) log₅2

C) log₂5

D) 2

33 / 40

33. 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

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) 5

B) 30

C) 2

D) 6

35 / 40

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

A) 14

B) 12

C) 15

D) 16

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; 0

B) -1; 2

C) -1;-2

D) 1;0

37 / 40

37. 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

38 / 40

38. 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) 9

B) 11

C) 12

D) 10

39 / 40

39. Aniqmas integralni hisoblang.