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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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1 / 40

1. Jamshid bir kunda 70,5 kgdan paxta tersa, 8460 kg paxtani necha kunda terib bo’ladi ?

A) 140 kun

B) 100 kun

C) 120 kun

D) 130 kun

2 / 40

2. Umumiy hadi x_n=3+5n-n² formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

A) 13

B) 5,75

C) 9,25

D) 6

3 / 40

3. Standart shaklda yozing 0,000000000000013

1,3·10^-12
1,3·10^-13
1,3·10^-14
1,3·10^-15

A) 1

B) 3

C) 2

D) 4

4 / 40

4. cos75° ·cos 45° ·cos15° ni hisoblang.

A) √2/8

B) √3/4

C) √3/8

D) 1/8

5 / 40

5. 3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 25

B) 96

C) 100

D) 105

6 / 40

6. Birinchi raqami 2 boʻlgan va 1, 2, 3, 4 va 5 raqamlardan tashkil topgan uch xonali sonlar nechta?

A) 50

B) 25

C) 10

D) 20

7 / 40

7. Agar bo‘lsa, tgα ni toping.

A) 2

B) 1

C) 3

D) 4

8 / 40

8. Hisoblang.

A) √3

B) 3

C) 1

D) 1.5

9 / 40

9. x² - 4|x|-a - 3 = 0 tenglama ikkita yechimga ega bo‘ladigan barcha butun manfiy a lar nechta?

A) 1

B) 0

C) 3

D) 2

10 / 40

10. DC-B markazli aylana yoyi, AC-urinma, AB-kesuvchi va S₁=2S₂ ekanligi maʼlum boʻlsa, tgα/α ni toping.

A) 1

B) 5/2

C) 3/2

D) 3

11 / 40

11. Teng yonli trapetsiyaning diagionali o‘rta chizig‘ini 1 va 5 ga teng kesmalarga ajratadi. Trapetsiyaning yuzi 48 ga teng bo‘lsa, yon tomonini toping.

A) 5

B) 6

C) 3√2

D) 4√5

12 / 40

12. Hisoblang.

A) 2021

B) 1

C) 2020

D) 2019

13 / 40

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

A) 7

B) 14

C) 9

D) 6

14 / 40

14. Hisoblang: sin10° •sin50° •sin70°

A) 0

B) 0,5

C) 0,125

D) 0,25

15 / 40

15. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)

C) ln(lnx)+c

D) lnx+c

16 / 40

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

A) 2/3

B) 4√2/9

C) 2/9

D) 4√4/9

17 / 40

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

A) 2

B) log₅2

C) 3

D) log₂5

18 / 40

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

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

B) 2x(b+d)

C) 2x+3b+4d

D) 2bdx+2bd

19 / 40

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

A) 3 sm;

B) 2 m;

C) 4 sm;

D) 2 sm;

20 / 40

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

A) II

B) IV

C) I

D) III

21 / 40

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

A) 12π

B) 18π

C) 24π

D) 6π

22 / 40

22. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) (3-b)/2b

B) 2b/(3-b)

C) b/(3-b)

D) 3b/(2+b)

23 / 40

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

A) 2

B) 0

C) 1

D) -2

24 / 40

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

A) 1

B) 3

C) 2

D) 4

25 / 40

25. 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

26 / 40

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

A) -1

B) 5

C) 1

D) 2

27 / 40

27. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 22/25

C) 11/15

D) 24/25

28 / 40

28. 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) 42

D) 36

29 / 40

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

A) 30

B) 2

C) 5

D) 6

30 / 40

30. funksiyaga teskari funksiyani toping.

A) II

B) IV

C) I

D) III

31 / 40

31. 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

32 / 40

32. 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

33 / 40

33. 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) 25

B) 36

C) 49

D) 16

34 / 40

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

A) 0≤x≤2

B) 1≤x≤2

C) -2≤x≤2

D) -2≤x≤0

35 / 40

35. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x+3)/2

C) (x-3)/3

D) (x-2)/3

36 / 40

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

A) 4√2/9

B) 3

C) 1

D) 2

37 / 40

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

A) 18

B) 27

C) 12

D) 48

38 / 40

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

A) 10

B) 12

C) 5

D) 6

39 / 40

39. 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) 24√3

D) 12√3

40 / 40

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

A) 15

B) 12

C) 16

D) 14