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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

96 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) 35

B) 4

C) 12

D) 11

2 / 40

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

A) 1

B) 3

C) 2

D) 4

3 / 40

3. DC||AB , ∠DCE=45°,∠CEA=x va ∠EAB=115° ga tengbo`lsa x ni toping ?

A) 120°

B) 100°

C) 130°

D) 110°

4 / 40

4. Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) √17

B) -4

C) -√17

D) 4

5 / 40

5. Hisoblang:

A) cos10°

B) sin10°

C) 1

D) cos50°

6 / 40

6. bo‘lsa, 4a+3b+2c ni toping.

A) 16

B) 4

C) 12

D) 8

7 / 40

7. Ishchining maoshi 900000 so‘m edi. Uning maoshi ketma-ket ikki marta bir xil foizga oshgandan so‘ng, 1190250 so‘m bo‘ldi. Maosh har safar necha foizga oshgan?

A) 12

B) 18

C) 15

D) 14

8 / 40

8. y=sin²(x/2-π/4) + 2cos2x funksiyaning eng kichik musbat davrini toping

A) π

B) 2π

C) 3π

D) 4π

9 / 40

9. Soddalashtiring: ctg2α-tgα

A) -1/cos2α

B) -1/sin2α

C) 1/sin2α

D) 1/cos2α

10 / 40

10. ABCD parallelogramm va ABED toʻrtburchakka aylana ichki chizilgan. Agar DE=8, AB=12 boʻlsa, BEC uchburchakning perimetrini toping.

A) 24

B) 22

C) 27

D) 25

11 / 40

11. (a, b∈ N) va 3a – 4b = 5 bo‘lsa, 3a+4b ning eng kichik qiymatini toping.

A) 13

B) 12

C) 9

D) 37

12 / 40

12. (tgx-2ctgx)⁴ yoyilmaning ozod hadini toping.

A) 24

B) 25

C) 6

D) 58

13 / 40

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

A) 2x+3b+4d

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

C) 2bdx+2bd

D) 2x(b+d)

14 / 40

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

A) 48

B) 27

C) 18

D) 12

15 / 40

15. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) (3-b)/2b

B) b/(3-b)

C) 3b/(2+b)

D) 2b/(3-b)

16 / 40

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

A) b²-b²/2π

B) b²-2π

C) b²/2π

D) b²+b²/2π

17 / 40

17. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 24/25

C) 12/15

D) 22/25

18 / 40

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

A) log₅2

B) 3

C) log₂5

D) 2

19 / 40

19. Hisoblang: sin10° •sin50° •sin70°

A) 0

B) 0,25

C) 0,5

D) 0,125

20 / 40

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

A) 4 sm;

B) 2 m;

C) 2 sm;

D) 3 sm;

21 / 40

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

A) 1

B) 2

C) 5

D) -1

22 / 40

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

A) 2

B) 1

C) 4

D) 3

23 / 40

23. funksiyaga teskari funksiyani toping.

A) I

B) III

C) II

D) IV

24 / 40

24. 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

25 / 40

25. 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) 14

D) 7

26 / 40

26. Aniqmas integralni hisoblang.

A) lnx+c

B) ln(lnx)+c

C) ln(lnx)

D) xlnx-x+c

27 / 40

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

A) -2≤x≤2

B) -2≤x≤0

C) 0≤x≤2

D) 1≤x≤2

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) 20

B) 36

C) 42

D) 40

29 / 40

29. 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

30 / 40

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

A) 6π

B) 12π

C) 18π

D) 24π

31 / 40

31. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-3)/3

B) (x-2)/3

C) (x+3)/2

D) (x-7)/2

32 / 40

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

A) 6

B) 5

C) 2

D) 30

33 / 40

33. 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) 11

C) 12

D) 9

34 / 40

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

A) 2/9

B) 4√4/9

C) 4√2/9

D) 2/3

35 / 40

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

A) -2

B) 2

C) 0

D) 1

36 / 40

36. 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

37 / 40

37. 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) 24√3

C) 12

D) 12√3

38 / 40

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

A) 16

B) 12

C) 15

D) 14

39 / 40

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