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Matematika attestatsiya №13

InfoMaster

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. Agar $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 4

B) 11

C) 35

D) 12

2 / 40

2. Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1), b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

A) 16

B) √6+√14

C) 2√14+√6

D) 18

3 / 40

3. x ni toping ?

A) 6

B) 3

C) 5

D) 4

4 / 40

4. x²-n≤0 tengsizlik o‘rinli bo‘ladigan x ning 7 ta butun ildizi bor bo‘lsa. n nechta turli butun qiymat qabul qiladi?

A) 15

B) 7

C) 12

D) 9

5 / 40

5. Tenglamani yeching:

A) -6

B) -6; 5

C) 5

D) 6; -5

6 / 40

6. Hisoblang:

A) 9/16

B) 1

C) 16/9

D) 36/16

7 / 40

7. (a∈N) a sonining qanday eng kichik qiymatida (65–a) ifoda mukammal sonlardan biriga teng bo‘ladi?

A) 59

B) 37

C) 28

D) 17

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) 11

C) 5

D) 10

9 / 40

9. Bir nechta natural sonlardan tuzilgan S to‘plam berilgan. Bu sonlarning o‘rta
arifmetigi eng kattasini hisobga olmaganda 32 ga, eng kichigini hisobga olmaganda 40 ga, eng kattasini ham eng kichigini ham hisobga olmaganda esa 35 ga teng. Agar eng katta son eng kichigidan 72 ga ortiq bo‘lsa, u holda S to‘plamdagi barcha sonlarning o‘rta arifmetigini toping.

A) 36,6

B) 36,8

C) 36,2

D) 36,4

10 / 40

10. Kvadrat rasmdagi kabi 4 ta uchburchakka ajratilgan , 3 ta uchburchakning yuzlari mos ravishda 2, 3, 4 ga teng . Berilgan shakldagi noʼmalum yuzani toping.

A) 8

B) Aniqlab bo‘lmaydi

C) 10

D) 7

11 / 40

11. Tengsizlikni yeching:

A) (8;+∞)

B) (-∞;8)

C) (-∞;1/8)

D) (0;8)

12 / 40

12. Hisoblang.

A) -2 yoki 0

B) -2 yoki -1

C) 0

D) -2 yoki 2

13 / 40

13. Aniqmas integralni hisoblang.

A) lnx+c

B) xlnx-x+c

C) ln(lnx)+c

D) ln(lnx)

14 / 40

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

A) 2

B) 1

C) 4√2/9

D) 3

15 / 40

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

A) 3 sm;

B) 4 sm;

C) 2 m;

D) 2 sm;

16 / 40

16. 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

17 / 40

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

A) 4

B) 1

C) 2

D) 3

18 / 40

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

A) 12

B) 6

C) 5

D) 10

19 / 40

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

A) 6π

B) 24π

C) 18π

D) 12π

20 / 40

20. 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) 49

C) 36

D) 25

21 / 40

21. 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

22 / 40

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

A) 2

B) 0

C) 1

D) -2

23 / 40

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

A) III

B) IV

C) II

D) I

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;0

B) -1;-2

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) 7

C) 14

D) 9

26 / 40

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

A) log₅2

B) 2

C) 3

D) log₂5

27 / 40

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

A) 2x+3b+4d

B) 2x(b+d)

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

D) 2bdx+2bd

28 / 40

28. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) b/(3-b)

C) 3b/(2+b)

D) (3-b)/2b

29 / 40

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

A) 15

B) 14

C) 16

D) 12

30 / 40

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

A) 4√2/9

B) 4√4/9

C) 2/3

D) 2/9

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) α²

B) π²/4

C) 2π²

D) 3π²/4

32 / 40

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

A) 5

B) -1

C) 2

D) 1

33 / 40

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

A) 12

B) 27

C) 48

D) 18

34 / 40

34. funksiyaga teskari funksiyani toping.

A) II

B) III

C) IV

D) I

35 / 40

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

A) 2

B) 5

C) 6

D) 30

36 / 40

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

A) 0≤x≤2

B) -2≤x≤2

C) -2≤x≤0

D) 1≤x≤2

37 / 40

37. 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) 11

B) 12

C) 10

D) 9

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) 12

C) 12√3

D) 24√3

39 / 40

39. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x+3)/2

C) (x-3)/3

D) (x-7)/2

40 / 40

40. Hisoblang: sin10° •sin50° •sin70°