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Matematika attestatsiya №13

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Iyul 21, 2022

129 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. bo‘lsa, x + y ni toping.

A) 17

B) 16

C) 18

D) 20

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) 108

B) 126

C) 114

D) 96

3 / 40

3. Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

A) 6

B) 4

C) 5

D) 3

4 / 40

4. Agar bo‘lsa, m/n ni toping.

A) 3

B) 2

C) (1+√5)/2

D) 4

5 / 40

5. Hisoblang:

A) 1/32

B) -1/2

C) -√3/2

D) 0

6 / 40

6. raqamlari turlicha bo‘lgan uch xonali juft sonlar. x+ y ning eng kichik qiymatini toping.

A) 12

B) 14

C) 10

D) 8

7 / 40

7. x tomon uzunligini toping.

A) √2

B) 1

C) 3

D) 2

8 / 40

8. Arifmetik progressiyada a₃+a₆+a₉+....+a_3n=80 bo‘lsa, a_2n-3+a_n+6=16 bo‘lsa, n ning qiymatini toping.

A) 8

B) 10

C) 5

D) 11

9 / 40

9. Yig‘indisi 6 ga teng, birinchi 5 ta hadining yig‘indisi esa ga teng 93/16 bo‘lgan cheksiz kamayuvchi geometrik progressiyaning uchinchi hadini toping.

A) 0,75

B) 3

C) 0,5

D) 1,5

10 / 40

10. Agar bo’lsa, quyidagilardan qaysi biri eng kichik?

A) f(1006)

B) f(1012)

C) f(1009)

D) f(2019)

11 / 40

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

A) 12

B) 37

C) 13

D) 9

12 / 40

12. a=1^0,(6), b=8^0,(3) , c=2^0,(9) bo'lsa, (a+b)^c=?

A) 9

B) 16

C) 25

D) 0

13 / 40

13. 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) 25

C) 36

D) 49

14 / 40

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

A) 3

B) 2

C) 4

D) 1

15 / 40

15. 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) 24√3

B) 6√3

C) 12√3

D) 12

16 / 40

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

A) 16

B) 12

C) 14

D) 15

17 / 40

17. sin(2arctg0,75) ni hisoblang

A) 22/25

B) 11/15

C) 12/15

D) 24/25

18 / 40

18. 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

19 / 40

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

A) IV

B) II

C) III

D) I

20 / 40

20. 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) 20

D) 36

21 / 40

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

A) 2bdx+2bd

B) 2x(b+d)

C) 2x+3b+4d

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

22 / 40

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

A) 1

B) 4√2/9

C) 3

D) 2

23 / 40

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

A) 0≤x≤2

B) -2≤x≤2

C) -2≤x≤0

D) 1≤x≤2

24 / 40

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

A) 4 sm;

B) 2 sm;

C) 2 m;

D) 3 sm;

25 / 40

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

A) α²

B) 2π²

C) 3π²/4

D) π²/4

26 / 40

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

A) 4√4/9

B) 4√2/9

C) 2/3

D) 2/9

27 / 40

27. 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

28 / 40

28. Hisoblang: sin10° •sin50° •sin70°

A) 0

B) 0,125

C) 0,25

D) 0,5

29 / 40

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

A) -2

B) 1

C) 0

D) 2

30 / 40

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

A) 5

B) 10

C) 12

D) 6

31 / 40

31. Aniqmas integralni hisoblang.

A) ln(lnx)

B) lnx+c

C) xlnx-x+c

D) ln(lnx)+c

32 / 40

32. 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

33 / 40

33. 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) 14

C) 7

D) 9

34 / 40

34. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x+3)/2

B) (x-2)/3

C) (x-7)/2

D) (x-3)/3

35 / 40

35. 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

36 / 40

36. 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

37 / 40

37. funksiyaga teskari funksiyani toping.

A) II

B) IV

C) I

D) III

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) 12

B) 11

C) 9

D) 10

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) 5

C) 2

D) 30

40 / 40

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