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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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Testda 76% va undan yuqori natija oling va sertifikatni yuklab oling.

1 / 40

1. $y^4+9x^2-4y^2-30x+29=0$ tenglikni qanoatlantiruvchi x va y sonlari uchun 19y²+99x ni toping.

A) 203

B) 200

C) 289

D) 201

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-x+5

C) f(x)=x²+3x+7

D) f(x)=x²-4

3 / 40

3. Quyidakilardan qaysi biri juft:

2009⁵⁶+2008⁵⁵
3121⁰+0!
55!+87⁷
2²²+3³³+44⁴⁴

A) 3

B) 2

C) 4

D) 1

4 / 40

4. A, B,C,D, E natural sonlar. Agar EKUB(A,B,C)=10, EKUB(B,C,D,E)=15 bo‘lsa, A+ B+C+D+ E ning eng kichik qiymatini toping.

A) 90

B) 100

C) 120

D) 80

5 / 40

5. Ifodaning qiymatini toping.

A) 0,04

B) 0,0(4)

C) 0,(04)

D) 0,0(2)

6 / 40

6. ABCD trapetsiyaning AD kichik asosi 6 ga teng. C burchagining CF bissektrisasi AB tomonga perpendikulyar bo‘lib, bunda BF = 3AF = 6 bo‘lsa, katta asos uzunligini toping.

A) 12

B) 18

C) 15

D) 9

7 / 40

7. Tenglama nechta yechimga ega?

A) 0

B) 2

C) 1

D) 3

8 / 40

8. f (x) = (x² )^1−log_xa funksiya uchun, f (3^x+1) = a^x−1 bo`lsa, a parametr quyidagilardan qaysi biriga teng?

A) 1

B) 9

C) 3

D) 27

9 / 40

9. |x²-2x+2|+|x²-4|>|x²-x-1 | tengsizlikning butun yechimlari nechta?

A) 3

B) 4

C) 5

D) 2

10 / 40

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

A) 1

B) 4

C) 2

D) 3

11 / 40

11. Soddalashtiring

A) -x(x+y)/x-y

B) x(x-y)/x+y

C) -x(x-y)/x+y

D) (x-y)/(x+y)

12 / 40

12. ABCD parallelogramm va S_KBCE= 18 bo'lsa, S_ABCD=?

A) 48

B) 54

C) 56

D) 62

13 / 40

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

A) IV

B) I

C) III

D) II

14 / 40

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

A) 12

B) 16

C) 14

D) 15

15 / 40

15. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 24/25

C) 11/15

D) 22/25

16 / 40

16. 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;0

C) -1;-2

D) -1; 2

17 / 40

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

A) 48

B) 18

C) 12

D) 27

18 / 40

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

A) 6

B) 10

C) 5

D) 12

19 / 40

19. 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;

20 / 40

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

A) 2/3

B) 2/9

C) 4√4/9

D) 4√2/9

21 / 40

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

A) -1

B) 1

C) 2

D) 5

22 / 40

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

A) b²-b²/2π

B) b²+b²/2π

C) b²/2π

D) b²-2π

23 / 40

23. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 3b/(2+b)

B) 2b/(3-b)

C) b/(3-b)

D) (3-b)/2b

24 / 40

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

A) 4√2/9

B) 2

C) 1

D) 3

25 / 40

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

A) log₅2

B) 2

C) log₂5

D) 3

26 / 40

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

A) 2bdx+2bd

B) 2x(b+d)

C) 2x+3b+4d

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

27 / 40

27. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) lnx+c

C) ln(lnx)+c

D) ln(lnx)

28 / 40

28. 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

29 / 40

29. funksiyaga teskari funksiyani toping.

A) IV

B) I

C) II

D) III

30 / 40

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

A) 0

B) 1

C) -2

D) 2

31 / 40

31. sin²α+ sin²β= 1 tenglamada 0<α<π/2 va 0<β<π/2 bo’lsa, α²+π²/2+β²+2αβ ni hisoblang.

A) 2π²

B) 3π²/4

C) π²/4

D) α²

32 / 40

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

A) 24π

B) 6π

C) 12π

D) 18π

33 / 40

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

A) 40

B) 42

C) 36

D) 20

34 / 40

34. 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) 36

C) 25

D) 16

35 / 40

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

A) 1≤x≤2

B) -2≤x≤0

C) -2≤x≤2

D) 0≤x≤2

36 / 40

36. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0

C) 0,25

D) 0,5

37 / 40

37. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-3)/3

B) (x-7)/2

C) (x-2)/3

D) (x+3)/2

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) 12

B) 6√3

C) 24√3

D) 12√3

39 / 40

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

A) 6

B) 30

C) 5

D) 2

40 / 40

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