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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. Abdulla, Samandar va Jamshid 3 ta stulga necha xil usulda utirishi mumkin?

A) 7

B) 9

C) 6

D) 27

2 / 40

2. Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 96

B) 114

C) 126

D) 108

3 / 40

3. Bir idishda 32/5 kg, ikkinchisida esa unga qaraganda 16/5 kg ortiq yog` bor. Ikkala idishda qancha yog` bor?

A) 16

B) 64/5

C) 10

D) 48/5

4 / 40

4. ABC o‘tkir burchakli uchburchakda sinA=4/5 va sinB=15/13 bo'lsa, sinC ni qiymatini toping.

A) 40/63

B) 56/65

C) 36/65

D) 48/65

5 / 40

5. P(x)=x¹ºº ko‘phadni x³-3x+2 ga bo‘lganda qoladigan qoldiqni toping.

2¹ºº-1
(2¹ºº-1)x+2(2⁹⁹-1)
(2¹ºº-1)x-2(2⁹⁹-1)
2¹ººx-3·2¹⁰⁰

A) 4

B) 2

C) 3

D) 1

6 / 40

6. Quyidagilardan qaysi birlari to‘g‘ri?

A) I va V

B) II va IV

C) I va III

D) I, III va V

7 / 40

7. Boshlang‘ich funksiyasini toping:

A) F(x)=-4cos(x/4+5)+C

B) F(x)=(1/4)cos(x/4+5)+C

C) F(x)=4cos(x/4+5)+C

D) F(x)=5cos(x/4+5)+C

8 / 40

8. ABCD to‘g‘ri to‘rtburchak bo‘lib, DM kesma to‘rtburchak tekisligiga perpendikulyar. Agar DM kesmaning uzunligi butun son bo‘lib, MA, MC va MB kesma uzunliklari mos ravsihda ketma-ket kelgan toq sonlar bo‘lsa, u holda MABCD piramida hajmini toping.

A) 24√5

B) 60

C) 28√5

D) 66

9 / 40

9. Asoslari 2 va 6 ga teng, kichik diagonali katta yon tomoniga perpendikulyar bo‘lgan to‘g‘ri burchakli trapetsiyaning kichik yon tomonini toping.

A) 2√3

B) 2√2

C) 4√2

D) 3√2

10 / 40

10. x noma'lum son (x≠3) uchun x²-15/x=4 tenglik oʻrinli. x·(x+1)·(x+2)·(x+3) koʻpaytmaning qiymati 15 ga teng boʻla oladimi?

A) Yo'q

B) Ha

11 / 40

11. Agar tgα = 7 bo‘lsa, ifodaning qiymatini toping.

A) 0,5

B) 0,45

C) 0,49

D) 0,47

12 / 40

12. Ayirmasi d ga teng bo'lgan arifmetik progrssiya uchun ni toping.

A) 2/3

B) 1

C) 2

D) 1/2

13 / 40

13. 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

14 / 40

14. 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

15 / 40

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

A) 6π

B) 18π

C) 24π

D) 12π

16 / 40

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

A) 4√4/9

B) 2/9

C) 2/3

D) 4√2/9

17 / 40

17. 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

18 / 40

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

A) 1

B) 4√2/9

C) 3

D) 2

19 / 40

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

A) 6

B) 12

C) 5

D) 10

20 / 40

20. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x+3)/2

B) (x-3)/3

C) (x-7)/2

D) (x-2)/3

21 / 40

21. 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) 36

C) 16

D) 49

22 / 40

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

A) 0

B) 2

C) -2

D) 1

23 / 40

23. Ikki natural sonning kvadratlarining o'rta arifmetigi 34 ga, o'rta geometrigi esa 8 ga teng. Shu sonlarning yig'indisini yarmini toping toping.

A) 14

B) 7

C) 9

D) 6

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;-2

D) -1; 0

25 / 40

25. funksiyaga teskari funksiyani toping.

A) III

B) II

C) IV

D) I

26 / 40

26. 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

27 / 40

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

A) -2≤x≤2

B) 0≤x≤2

C) -2≤x≤0

D) 1≤x≤2

28 / 40

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

A) 2x(b+d)

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

C) 2bdx+2bd

D) 2x+3b+4d

29 / 40

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

A) 3

B) 2

C) log₅2

D) log₂5

30 / 40

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

A) 16

B) 15

C) 14

D) 12

31 / 40

31. 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) 12

C) 24√3

D) 6√3

32 / 40

32. Aniqmas integralni hisoblang.

A) ln(lnx)

B) xlnx-x+c

C) lnx+c

D) ln(lnx)+c

33 / 40

33. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 3b/(2+b)

B) (3-b)/2b

C) b/(3-b)

D) 2b/(3-b)

34 / 40

34. Hisoblang: sin10° •sin50° •sin70°

A) 0,5

B) 0,125

C) 0

D) 0,25

35 / 40

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

A) 3

B) 4

C) 2

D) 1

36 / 40

36. 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) 2π²

D) π²/4

37 / 40

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

A) IV

B) II

C) I

D) III

38 / 40

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

A) 18

B) 48

C) 27

D) 12

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) 10

B) 9

C) 12

D) 11

40 / 40

40. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 12/15

C) 22/25

D) 24/25