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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

102 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. ni hisoblang.

A) e+1

B) (e-1)/2

C) (e+1)/2

D) e-1

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) √6+√14

B) 18

C) 16

D) 2√14+√6

3 / 40

3. Quyida berilgan ko`rinishda mashinadan yuknitushurish uchun necha metr taxta kerak ?

A) 13

B) 11

C) 12

D) 14

4 / 40

4. 7/3 kasrning o‘nli kasr yoyilmasida verguldan keyingi 100- raqamni toping.

A) 5

B) 4

C) 1

D) 2

5 / 40

5. Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 1

B) 4

C) 3

D) 2

6 / 40

6. ning natural bo‘luvchlari 70 ta bo‘lsa, x ni toping.

A) 3

B) 4

C) 5

D) 2

7 / 40

7. Kasrni hisoblang:

A) -5

B) 0

C) 14/3

D) -14/3

8 / 40

8. 5^x-3=2^3x-2 bo‘lsa, (2,56)^x-2 soni necha xonali son bo‘ladi?

A) 2 xonali

B) 1 xonali

C) 4 xonali

D) 3 xonali

9 / 40

9. x⁶ -10x⁵ + ax⁴ + bx³ + cx² + dx +16 ko‘phadning barcha ildizlari natural sonlardan iborat (ba’zi ildizlar takrorlanuvchi ham bo‘lishi mumkin). U holda b ning qiymati nechaga teng?

A) -80

B) -64

C) -88

D) -41

10 / 40

10. Berilgan chizmadan foydalanib α + β ning qiymatini toping:

A) 75°

B) 60°

C) 30°

D) 45°

11 / 40

11. To‘g‘ri to‘rtburchakning simmetriya markazidan bir uchigacha bo‘lgan masofa 5 sm ga, tomonlar ayirmasi 2 sm ga teng bo‘lsa, uning perimetrini toping.

A) 30

B) 48

C) 28

D) 32

12 / 40

12. Noaniq integralni toping. ∫(sin²x+cos²x)dx

A) 4x+c

B) 2x+c

C) x/2+c

D) x+c

13 / 40

13. 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

14 / 40

14. 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) 16

D) 25

15 / 40

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

A) 1

B) 2

C) 4√2/9

D) 3

16 / 40

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

A) log₅2

B) log₂5

C) 3

D) 2

17 / 40

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

A) -2

B) 1

C) 0

D) 2

18 / 40

18. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0

C) 0,5

D) 0,125

19 / 40

19. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 24/25

C) 22/25

D) 12/15

20 / 40

20. funksiyaga teskari funksiyani toping.

A) II

B) IV

C) III

D) I

21 / 40

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

A) 15

B) 12

C) 14

D) 16

22 / 40

22. Aniqmas integralni hisoblang.

A) lnx+c

B) xlnx-x+c

C) ln(lnx)+c

D) ln(lnx)

23 / 40

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

A) 18

B) 27

C) 48

D) 12

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; 2

B) -1; 0

C) 1;0

D) -1;-2

25 / 40

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

A) 18π

B) 24π

C) 12π

D) 6π

26 / 40

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

A) 42

B) 40

C) 36

D) 20

27 / 40

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

A) 2 m;

B) 2 sm;

C) 3 sm;

D) 4 sm;

28 / 40

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

A) 2

B) 4

C) 1

D) 3

29 / 40

29. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) b/(3-b)

B) 2b/(3-b)

C) 3b/(2+b)

D) (3-b)/2b

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) 9

C) 7

D) 6

31 / 40

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

A) 10

B) 5

C) 12

D) 6

32 / 40

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

A) 2/3

B) 4√2/9

C) 2/9

D) 4√4/9

33 / 40

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

A) b²-2π

B) b²-b²/2π

C) b²+b²/2π

D) b²/2π

34 / 40

34. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x-7)/2

C) (x-3)/3

D) (x+3)/2

35 / 40

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

A) 0≤x≤2

B) 1≤x≤2

C) -2≤x≤2

D) -2≤x≤0

36 / 40

36. 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) 9

C) 11

D) 10

37 / 40

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

A) 2

B) 6

C) 5

D) 30

38 / 40

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