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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. Agar ni hisoblang.

A) Cheksiz

B) 9

C) 0

D) 8

2 / 40

2. y=f(x) funksiya uchun tenglik o'rinli bo'lsa, f(π/4)=?

A) 1/4

B) 1/5

C) 1/3

D) 4

3 / 40

3. Eldor velosipetida 13m/s bilan 3 soniyada 15m tepalikka ko`tarilgan bo`lsa AC kesma uzunligi necha metr?

A) 36

B) 40

C) 32

D) 34

4 / 40

4. To‘g‘ri burchakli uchburchakning bir burchagi 52° ga teng bo‘lsa, to‘g‘ri burchak uchidan tushirilgan balandlik va mediana orasidagi burchakni toping.

A) 17°

B) 14°

C) 7°

D) 24°

5 / 40

5. Kvadratlarning yuzlari yig‘indisini toping.

A) 11

B) 22

C) berilganlar yetarli emas

D) 121

6 / 40

6. Tenglamani yeching:

A) Ø

B) 10

C) -10

D) x∈R

7 / 40

7. Kasrni hisoblang:

A) 0

B) 14/3

C) -5

D) -14/3

8 / 40

8. Quyidagilardan qaysi biri to‘g‘ri?

A) Parallelogrammning diagonallari o‘zaro perpendikulyar bo‘lsa, u kvadrat bo‘ladi.

B) Barchasi

C) 5²⁰²²+6²⁰²²<7²⁰²²

D) To‘g‘ri kasrning surat va maxrajiga bir xil son qo‘shib borilsa, kasr kichiklashib boradi.

9 / 40

9. Hisoblang.

A) 8!/2

B) 8!9

10 / 40

10. Hisoblang.

A) 1

B) 0

C) 2

D) -1

11 / 40

11. θ ratsional son, ω va φ esa irratsional sonlar bo‘lsa, quyidagilardan qaysi biri ratsional son bo‘lishi mumkin? θ ≠ 0

A) 1, 2, 3

B) 2 5, 6

C) 3, 4, 6

D) 1, 2, 5

12 / 40

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

A) 2

B) -1

C) 1

D) 0

13 / 40

13. funksiyaga teskari funksiyani toping.

A) III

B) I

C) II

D) IV

14 / 40

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

A) 12

B) 5

C) 6

D) 10

15 / 40

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

A) 5

B) 30

C) 2

D) 6

16 / 40

16. Hisoblang: sin10° •sin50° •sin70°

A) 0

B) 0,25

C) 0,5

D) 0,125

17 / 40

17. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 22/25

C) 11/15

D) 24/25

18 / 40

18. 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) 3π²/4

C) π²/4

D) 2π²

19 / 40

19. 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) 24√3

C) 12√3

D) 12

20 / 40

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

A) 20

B) 42

C) 36

D) 40

21 / 40

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

A) 4

B) 1

C) 3

D) 2

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; 2

D) 1;0

23 / 40

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

A) 18

B) 48

C) 12

D) 27

24 / 40

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

A) log₂5

B) 3

C) 2

D) log₅2

25 / 40

25. 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

26 / 40

26. 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) 6

C) 9

D) 7

27 / 40

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

A) IV

B) II

C) III

D) I

28 / 40

28. 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) 36

B) 16

C) 25

D) 49

29 / 40

29. 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

30 / 40

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

A) 2/9

B) 4√4/9

C) 4√2/9

D) 2/3

31 / 40

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

A) 4 sm;

B) 3 sm;

C) 2 sm;

D) 2 m;

32 / 40

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

A) 24π

B) 6π

C) 18π

D) 12π

33 / 40

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

A) 3

B) 2

C) 4√2/9

D) 1

34 / 40

34. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)

C) lnx+c

D) ln(lnx)+c

35 / 40

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

A) 0≤x≤2

B) -2≤x≤0

C) -2≤x≤2

D) 1≤x≤2

36 / 40

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

A) 14

B) 12

C) 15

D) 16

37 / 40

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

A) 2

B) 1

C) 5

D) -1

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) 9

B) 10

C) 12

D) 11

39 / 40

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