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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. Agar a-b+c=10 va bo‘lsa, ac-ab-bc ifodaning qiymatini toping.

A) 16

B) aniqlab bo‘lmaydi

C) 20

D) 18

2 / 40

2. f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

A) f(x)+2x²-1

B) f(x)=x²-4

C) f(x)=x²-x+5

D) f(x)=x²+3x+7

3 / 40

3. Quyidagi berilgan qoldiqli bo`lishlardan qaysi biri to`g`ribajarilgan ?
a)76 : 9 = 7 (qoldiq 13);
b)20 : 7 = 2 (qoldiq 6);
d)54 : 15 = 4 (qoldiq 1)

A) )a,b,d

B) a,b

C) b

D) b,d

4 / 40

4. Integralni hisoblang:

A) 1

B) 2

C) 4

D) 3

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) 2

B) 4

C) 1

D) 3

6 / 40

6. Tenglamaning haqiqiy ildizining natural bo‘luvchilari nechta?

A) 8

B) 4

C) 6

D) 2

7 / 40

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

A) 58

B) 60

C) 180

D) 182

8 / 40

8. x²-(sinα)x - 1/4cos²α =0 tenglamaning ildizlaridan biri 2/3 bo‘lsa, sinα= ?

A) 1/3

B) 2/5

C) 1,1/3

D) 5/3,1/3

9 / 40

9. Aylananing tashqarisidagi nuqtadan aylanagacha eng qisqa masofa 7 sm, eng uzun masofa 23 sm bo’lsa, aylananing uzunligini toping.

A) 14π

B) 12π

C) 8π

D) 16π

10 / 40

10. Toʻgʻri burchakli uchburchakka kvadrat ichki chizilgan (rasmga qarang). Kvadrat tomonini toʻgʻri toʻrtburchak katetlari orqali ifodalang.

A) 4

B) 1

C) 3

D) 2

11 / 40

11. Qavariq to‘rtburchakning diagonallari 3 va 4 ga teng. Agar qarama-qarshi tomonlarining o‘rtalarini tutashtirishdan hosil bo‘lgan kesmalar uzunliklari o‘zaro teng bo‘lsa, qavariq to‘rtburchakning yuzini toping.

A) 5

B) 1

C) 6

D) 4

12 / 40

12. Tenglamani yeching:

A) 2

B) 5,5

C) 2,5

D) 6

13 / 40

13. 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) 2π²

C) α²

D) 3π²/4

14 / 40

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

A) 2x(b+d)

B) 2bdx+2bd

C) 2x+3b+4d

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

15 / 40

15. 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) 49

B) 25

C) 16

D) 36

16 / 40

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

A) 2

B) 30

C) 6

D) 5

17 / 40

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

A) -2

B) 1

C) 2

D) 0

18 / 40

18. funksiyaga teskari funksiyani toping.

A) I

B) IV

C) III

D) II

19 / 40

19. 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

20 / 40

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

A) 2

B) 5

C) 1

D) -1

21 / 40

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

A) 0≤x≤2

B) 1≤x≤2

C) -2≤x≤0

D) -2≤x≤2

22 / 40

22. Hisoblang: sin10° •sin50° •sin70°

A) 0,5

B) 0,125

C) 0,25

D) 0

23 / 40

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

A) 18

B) 12

C) 48

D) 27

24 / 40

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

A) 2

B) 4

C) 1

D) 3

25 / 40

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

A) III

B) I

C) IV

D) II

26 / 40

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

A) 24π

B) 12π

C) 18π

D) 6π

27 / 40

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

A) 2/3

B) 2/9

C) 4√4/9

D) 4√2/9

28 / 40

28. 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;-2

C) 1;0

D) -1; 0

29 / 40

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

A) 12

B) 15

C) 16

D) 14

30 / 40

30. 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) 6

C) 9

D) 7

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) 40

C) 42

D) 20

32 / 40

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

A) 3

B) 2

C) 4√2/9

D) 1

33 / 40

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

A) log₂5

B) log₅2

C) 3

D) 2

34 / 40

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

A) 3 sm;

B) 2 sm;

C) 4 sm;

D) 2 m;

35 / 40

35. Aniqmas integralni hisoblang.

A) ln(lnx)

B) xlnx-x+c

C) ln(lnx)+c

D) lnx+c

36 / 40

36. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 12/15

C) 22/25

D) 24/25

37 / 40

37. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x-3)/3

C) (x+3)/2

D) (x-2)/3

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) 24√3

C) 12

D) 12√3

39 / 40

39. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) 3b/(2+b)

C) (3-b)/2b

D) b/(3-b)

40 / 40

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