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Matematika attestatsiya №13

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Iyul 21, 2022

100 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. $cos6x-4cos2x<0$ tengsizlikni yeching.

A) 1

B) 2

C) 4

D) 3

2 / 40

2. Uchlari A(4;5;1), B(2;3;0) va C(2;–1;–3) nuqtalarda joylashgan uchburchakning BD medianasi uzunligini toping.

A) √3

B) √2

C) 1

D) 2

3 / 40

3. Quyidakilardan qaysi biri juft:

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

A) 4

B) 3

C) 1

D) 2

4 / 40

4. Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) R(√3-√2)

B) √3R(2-√3)

C) 3R

D) 1,5R

5 / 40

5. Agar geometrik progressiyaning umumiy hadi b_n= 3·2ⁿ bo‘lsa, ni toping.

A) 1

B) 4

C) 2

D) 3

6 / 40

6. y = x²+ 2 va y = x² + 3x parabolalar va x=1, x =2 to‘g‘ri chiziqlar bilan chegaralangan shaklni yuzini toping.

A) 5/2

B) 5/3

C) 7/3

D) 7/2

7 / 40

7. Tenglamani yeching.

A) 3

B) 25

C) 5

D) 9

8 / 40

8. 2²⁰²² raqamlar yig‘indisidan hosil bo‘lgan sonning raqamlar yig‘indisidan hosil bo‘lgan sonning raqamlar yig‘indisi hosil qilindi va hokazo. Oxirida bitta raqam qolgan bo‘lsa, shu raqamni toping.

A) 0

B) 1

C) 8

D) 7

9 / 40

9. Agar arifmetik progressiyada bo‘lsa, dastlabki 10 ta hadining yig‘indisini toping.

A) 160 yoki 317

B) 150 yoki 245

C) 153 yoki 317

D) 155 yoki 245

10 / 40

10. ABCD parallelogramm va ABED toʻrtburchakka aylana ichki chizilgan. Agar DE=8, AB=12 boʻlsa, BEC uchburchakning perimetrini toping.

A) 27

B) 24

C) 22

D) 25

11 / 40

11. Soddalashtiring:

A) 2√a-2√b

B) -2√a

C) -2√b

D) 2√b-2√a

12 / 40

12. Agar cos4x = acos⁴x+bcos2²x+1 bo'lsa, a+b=?

A) -1

B) 1

C) 0

D) 2

13 / 40

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

A) 2

B) 3

C) log₅2

D) log₂5

14 / 40

14. 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;

15 / 40

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

A) 2x+3b+4d

B) 2bdx+2bd

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

D) 2x(b+d)

16 / 40

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

A) 3

B) 1

C) 2

D) 4

17 / 40

17. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x+3)/2

C) (x-2)/3

D) (x-3)/3

18 / 40

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

A) -2

B) 0

C) 2

D) 1

19 / 40

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

A) 15

B) 14

C) 12

D) 16

20 / 40

20. funksiyaga teskari funksiyani toping.

A) III

B) IV

C) I

D) II

21 / 40

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

A) 27

B) 12

C) 48

D) 18

22 / 40

22. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0

C) 0,125

D) 0,5

23 / 40

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

A) 2b/(3-b)

B) 3b/(2+b)

C) (3-b)/2b

D) b/(3-b)

24 / 40

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

A) 5

B) 12

C) 6

D) 10

25 / 40

25. Aniqmas integralni hisoblang.

A) lnx+c

B) ln(lnx)

C) ln(lnx)+c

D) xlnx-x+c

26 / 40

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

A) 4√2/9

B) 3

C) 1

D) 2

27 / 40

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

A) 42

B) 36

C) 40

D) 20

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. sin (2arccos1/3) ni hisoblang.

A) 2/3

B) 2/9

C) 4√4/9

D) 4√2/9

30 / 40

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

A) -2≤x≤0

B) 0≤x≤2

C) -2≤x≤2

D) 1≤x≤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) π²/4

B) 3π²/4

C) 2π²

D) α²

32 / 40

32. 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

33 / 40

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

A) II

B) III

C) IV

D) I

34 / 40

34. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 11/15

C) 12/15

D) 22/25

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) 5

B) 6

C) 2

D) 30

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) 25

C) 36

D) 49

37 / 40

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

A) 18π

B) 6π

C) 24π

D) 12π

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) 24√3

C) 6√3

D) 12√3

39 / 40

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

A) 5

B) -1

C) 1

D) 2

40 / 40

40. 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) 9

B) 12

C) 10

D) 11