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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

103 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. Agar bo'lsa, x ni toping.

A) 2

B) -2

C) -5

D) 5

2 / 40

2. f(x)=26sin6x·sin7x funksiya uchun boshlang'ich funksiyasini toping.

A) 13sinx-sin13x + C

B) 13sinx+sin13x + C

C) 13cosx-cos13x + C

D) -13cosx- cos13 x +C

3 / 40

3. Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUB 3-EKUB

B) 1-EKUB 2-EKUK 3-EKUB

C) 1-EKUB 2-EKUK 3-EKUK

D) 1-EKUB 2-EKUB 3-EKUK

4 / 40

4. 108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

2¹²·3¹⁸
2²·3³
2⁸·3¹⁰
2⁶·3⁹

A) 4

B) 1

C) 3

D) 2

5 / 40

5. b ning qanday qiymatlarida M(2;1) nuqtadan 4x - 3y + b = 0 to‘g‘ri chiziqqacha masofa 2 ga teng bo‘ladi?

A) 4 yoki –12

B) 3 yoki –8

C) 6

D) 5 yoki –15

6 / 40

6. Tenglamani yeching:

A) x∈R

B) -10

C) 10

D) Ø

7 / 40

7. 3 ni 14 ga bo‘lganda verguldan keyingi yettinchi raqamni toping.

A) 8

B) 5

C) 7

D) 6

8 / 40

8. x, y, z sonlari uchun x > y > z va x + y + z + 18 munosabatlar o‘rinli. Bu 3 ta son bir-biridan 1, 2 va 3 sonlariga farq qiladi. Shunga ko‘ra x ning mumkin bo‘lgan barcha qiymatlari yig‘indisini
toping.

A) 14

B) 15

C) 16

D) 9

9 / 40

9. A(1; 3) nuqtadan 12x+5y+a–4=0 to’g’ri chiziqqacha bo’lgan masofa 2 bo’lsa, a ni toping.

A) 1

B) 2

C) 4

D) 3

10 / 40

10. P(x) koʻphad berilgan: P(x)=3·x^n-4 -5·x^24/n -x²+1 n=4 da P(x)-koʻphadning ozod hadi 3 ga karrali boʻla oladimi?

A) Ha

B) Yo'q

11 / 40

11. Piramidaning asosi tomoni 4√3 va o‘tkir burchagi 45° ga teng bo’lgan rombdan iborat. Ushbu piramidaga ichki chizilgan konusning yasovchisi asos tekisligi bilan 60° li burchak tashkil etadi. Konusning hajmini toping.

A) 6π

B) 6√3π

C) 6√2π

D) 3π

12 / 40

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

A) 1

B) 1/2

C) 2

D) 2/3

13 / 40

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

A) 5

B) 6

C) 10

D) 12

14 / 40

14. 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

15 / 40

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

A) 48

B) 18

C) 12

D) 27

16 / 40

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

A) log₂5

B) 2

C) 3

D) log₅2

17 / 40

17. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 11/15

C) 22/25

D) 12/15

18 / 40

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

A) 2bdx+2bd

B) 2x+3b+4d

C) 2x(b+d)

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

19 / 40

19. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)+c

C) ln(lnx)

D) lnx+c

20 / 40

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

A) (3-b)/2b

B) 2b/(3-b)

C) 3b/(2+b)

D) b/(3-b)

21 / 40

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

A) 9

B) 14

C) 6

D) 7

22 / 40

22. 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

23 / 40

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

A) 4√2/9

B) 2/3

C) 2/9

D) 4√4/9

24 / 40

24. 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) α²

C) 3π²/4

D) π²/4

25 / 40

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

A) II

B) III

C) IV

D) I

26 / 40

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

A) 14

B) 16

C) 15

D) 12

27 / 40

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

A) 0≤x≤2

B) -2≤x≤2

C) -2≤x≤0

D) 1≤x≤2

28 / 40

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

A) b²-b²/2π

B) b²-2π

C) b²/2π

D) b²+b²/2π

29 / 40

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

A) 20

B) 40

C) 36

D) 42

30 / 40

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

A) 30

B) 6

C) 5

D) 2

31 / 40

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

A) 24π

B) 18π

C) 6π

D) 12π

32 / 40

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

A) 4√2/9

B) 1

C) 3

D) 2

33 / 40

33. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0,125

C) 0,5

D) 0

34 / 40

34. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x-2)/3

C) (x-3)/3

D) (x+3)/2

35 / 40

35. funksiyaga teskari funksiyani toping.

A) IV

B) III

C) I

D) II

36 / 40

36. 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) 36

C) 25

D) 49

37 / 40

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

A) 0

B) 1

C) 2

D) -2

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) 10

B) 11

C) 12

D) 9

39 / 40

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

A) 2

B) -1

C) 1

D) 5

40 / 40

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