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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

157 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. Agar $f(g(x))=x^2-5x+6$ va $g(x)=x-2$ bo'lsa f(4) ning qiymatini toping.

A) 4

B) 11

C) 35

D) 12

2 / 40

2. x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 26

B) 27

C) 48

D) 32

3 / 40

3. Quyidagi rasmda konus va silindr zaytun moyi bilanto`ldirilmoqda . Ikkala shaklning balandliklari va taglik doiralarining radiuslari teng uzunlikda 2sm . Shunga ko`ra idishga jami necha ?m³

A) (32π)/3

B) 11π

C) (28π)/3

D) (29π)/3

4 / 40

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

A) 2

B) 4

C) 1

D) 5

5 / 40

5. Hisoblang:

A) -1/2

B) 0

C) 1/32

D) -√3/2

6 / 40

6. Tenglamani yeching: tg (2x + 3) = tg (3x - 2)

A) 1+πk, k∈Z

B) 7+πk, k∈Z

C) πk, k∈Z

D) 5+πk, k∈Z

7 / 40

7. Tenglamaning haqiqiy ildizlari yig‘indisini (agar ildizi bitta bo‘lsa, o‘zini) toping.

A) 8

B) 9

C) 12

D) 1

8 / 40

8. Tenglamani ildizlari yig’indisini toping. |x + 3| + |x −1| + |x − 4| = 6

A) Ildizi yo’q

B) 0

C) -2

D) -4

9 / 40

9. Tenglama nechta haqiqiy ildizga ega?

A) 4 ta

B) 1 ta

C) 2 ta

D) 3 ta

10 / 40

10. Agar bo’lsa, (x+y)²-z² ning qiymatini toping.

A) 23/12

B) 1/6

C) 1/2

D) 11/12

11 / 40

11. Hisoblang.

A) 0

B) 1

C) -2

D) 2

12 / 40

12. (tgx-2ctgx)⁴ yoyilmaning ozod hadini toping.

A) 6

B) 24

C) 58

D) 25

13 / 40

13. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 11/15

C) 12/15

D) 22/25

14 / 40

14. 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) 2π²

D) π²/4

15 / 40

15. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x-3)/3

C) (x-7)/2

D) (x+3)/2

16 / 40

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

A) 18

B) 12

C) 27

D) 48

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) 40

C) 42

D) 20

18 / 40

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

A) 2x(b+d)

B) 2bdx+2bd

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

D) 2x+3b+4d

19 / 40

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

A) 24π

B) 12π

C) 18π

D) 6π

20 / 40

20. funksiyaga teskari funksiyani toping.

A) II

B) III

C) I

D) IV

21 / 40

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

A) 2/3

B) 4√4/9

C) 4√2/9

D) 2/9

22 / 40

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

A) 1≤x≤2

B) -2≤x≤2

C) 0≤x≤2

D) -2≤x≤0

23 / 40

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

A) 6

B) 14

C) 7

D) 9

24 / 40

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

A) 2

B) 1

C) 0

D) -2

25 / 40

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

A) b²/2π

B) b²+b²/2π

C) b²-2π

D) b²-b²/2π

26 / 40

26. 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

27 / 40

27. Hisoblang: sin10° •sin50° •sin70°

A) 0

B) 0,25

C) 0,125

D) 0,5

28 / 40

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

A) 12

B) 15

C) 16

D) 14

29 / 40

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

A) 3

B) 2

C) 1

D) 4

30 / 40

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

A) log₅2

B) 2

C) log₂5

D) 3

31 / 40

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

A) 2

B) 5

C) 1

D) -1

32 / 40

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

A) 6

B) 30

C) 5

D) 2

33 / 40

33. 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;-2

D) 1;0

34 / 40

34. 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 m;

D) 2 sm;

35 / 40

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

A) I

B) III

C) II

D) IV

36 / 40

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

A) (3-b)/2b

B) 2b/(3-b)

C) 3b/(2+b)

D) b/(3-b)

37 / 40

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

A) 2

B) 1

C) 4√2/9

D) 3

38 / 40

38. 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) 49

C) 25

D) 36

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) 12√3

B) 24√3

C) 12

D) 6√3

40 / 40

40. Aniqmas integralni hisoblang.