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Matematika attestatsiya №13

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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)/2

B) e-1

C) (e-1)/2

D) e+1

2 / 40

2. Arifmetik progressiyada a_n+1=a_n+2 va a₄=4 bo'lsa, uning dastlabki 12 ta hadini yig'indisini toping.

A) 96

B) 114

C) 108

D) 126

3 / 40

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

A) 34

B) 32

C) 40

D) 36

4 / 40

4. Funksiyaning aniqlanish sohasini toping.

A) (-∞;0)∪(0;∞)

B) [-3;2]

C) (-∞;3]∪[2;∞)

D) x∈R

5 / 40

5. sonlarini taqqolsang.

A) c

B) c

C) a

D) b

6 / 40

6. Soddalashtiring:

A) -4

B) 4

C) -3

D) 0

7 / 40

7. T= 1·1!+2·2!+ 3· 3!+ ...+ 19·19! T bo‘lsa, T +1 yig‘indi nechta 0 bilan tugaydi?

A) 4

B) 3

C) 1

D) 2

8 / 40

8. Quyidagilardan qaysi biri to‘g‘ri?

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

B) Barchasi

C) 5²⁰²²+6²⁰²²<7²⁰²²

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

9 / 40

9. 2022 dan avval uning yarimi ayrildi, so‘ng chiqqan natijaning 1/3 qismi ayrildi, undan keyin so‘ngi natijadan shu natijaning 1/4 qismi ayrildi va ketma-ketlik 1/2022 gacha davom etdi. Eng oxirgi natijani toping.

A) 2

B) 1011

C) 1/2022

D) 1

10 / 40

10. a²·b·c<0, (a·b)>0 va a·c³<0 tengsizliklardan foydalanib a,b,c larning ishoralarini aniqlang:

A) -, -, +

B) +, -, +

C) -, -, -

D) -, +, -

11 / 40

11. to‘plamning nechta xos qism-to‘plamlari mavjud?

A) 32

B) 30

C) 5

D) 16

12 / 40

12. (2; 3; -5) nuqtaning OX o'qiga nisbatan simmetrik nuqtasini toping.

A) (2; 3; -5)

B) (2; -3; 5)

C) (2; -3; -5)

D) (-2; 3; 5)

13 / 40

13. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x-2)/3

C) (x+3)/2

D) (x-3)/3

14 / 40

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

A) 1

B) 4

C) 3

D) 2

15 / 40

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

A) 1≤x≤2

B) 0≤x≤2

C) -2≤x≤0

D) -2≤x≤2

16 / 40

16. 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

17 / 40

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

A) 36

B) 42

C) 20

D) 40

18 / 40

18. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)+c

C) ln(lnx)

D) lnx+c

19 / 40

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

A) b²/2π

B) b²-2π

C) b²+b²/2π

D) b²-b²/2π

20 / 40

20. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0

C) 0,5

D) 0,25

21 / 40

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

A) 48

B) 18

C) 27

D) 12

22 / 40

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

A) 1

B) 4√2/9

C) 3

D) 2

23 / 40

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

A) 14

B) 15

C) 16

D) 12

24 / 40

24. funksiyaga teskari funksiyani toping.

A) II

B) I

C) IV

D) III

25 / 40

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

A) 4√4/9

B) 4√2/9

C) 2/9

D) 2/3

26 / 40

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

A) 2 m;

B) 3 sm;

C) 2 sm;

D) 4 sm;

27 / 40

27. 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) α²

D) 2π²

28 / 40

28. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 22/25

C) 11/15

D) 12/15

29 / 40

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

A) 2x(b+d)

B) 2bdx+2bd

C) 2x+3b+4d

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

30 / 40

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

A) 0

B) -2

C) 1

D) 2

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) 11

C) 10

D) 9

32 / 40

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

A) III

B) IV

C) II

D) I

33 / 40

33. 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

34 / 40

34. 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) 16

C) 36

D) 25

35 / 40

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

A) 12

B) 10

C) 6

D) 5

36 / 40

36. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 3b/(2+b)

B) (3-b)/2b

C) 2b/(3-b)

D) b/(3-b)

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) 30

B) 2

C) 6

D) 5

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) 24√3

B) 12

C) 6√3

D) 12√3

39 / 40

39. 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

40 / 40

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