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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

118 Ko'rishlar 1 izoh

SaqlashSaqlanganOlib tashlandi 1

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

A) 4

B) 1/5

C) 1/4

D) 1/3

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) 4

B) 1

C) 3

D) 2

4 / 40

4. Agar bo'lsa, ni m orqali ifodalang.

A) (m+1)/2

B) (4-m)/4

C) (m+4)/4

D) 2/m

5 / 40

5. Ifodaning qiymatini quyidagi sonlardan qaysi biriga teng.

3¹⁹·2⁵
3¹⁶·2⁸
3¹³·2⁸
32⁹·2⁸

A) 2

B) 3

C) 4

D) 1

6 / 40

6. Tenglamani yeching:

A) 8

B) 7

C) 9

D) 10

7 / 40

7. Ifodani soddalashtiring:

A) 2

B) √3

C) 0

D) 1

8 / 40

8. Hisoblang.

A) 1

B) 2019/2018

C) 2019/4036

D) 0

9 / 40

9. Yig‘indisi 6 ga teng, birinchi 5 ta hadining yig‘indisi esa ga teng 93/16 bo‘lgan cheksiz kamayuvchi geometrik progressiyaning uchinchi hadini toping.

A) 3

B) 0,5

C) 1,5

D) 0,75

10 / 40

10. x noma'lum son (x≠3) uchun x²-15/x=4 tenglik oʻrinli. x·(x+1)·(x+2)·(x+3) koʻpaytmaning qiymati 15 ga teng boʻla oladimi?

A) Yo'q

B) Ha

11 / 40

11. Quyidagi keltirilgan ko‘paytirish amalida qatnashgan harflar turli qiymatlarga ega bo‘lsa, A+ B+C = ?

A) 12

B) 11

C) 13

D) 10

12 / 40

12. Agar bo'lsa f(x)=?

A) 2x²-1

B) x²-1

C) x²-2

D) x²+2

13 / 40

13. 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

14 / 40

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

A) 6

B) 10

C) 5

D) 12

15 / 40

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

A) -1

B) 2

C) 1

D) 5

16 / 40

16. 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) 2π²

C) 3π²/4

D) α²

17 / 40

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

A) 2bdx+2bd

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

C) 2x(b+d)

D) 2x+3b+4d

18 / 40

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

A) 3

B) log₂5

C) log₅2

D) 2

19 / 40

19. Hisoblang: sin10° •sin50° •sin70°

A) 0

B) 0,5

C) 0,25

D) 0,125

20 / 40

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

A) 3 sm;

B) 2 sm;

C) 4 sm;

D) 2 m;

21 / 40

21. 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

22 / 40

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

A) 1

B) 4

C) 2

D) 3

23 / 40

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

A) II

B) I

C) III

D) IV

24 / 40

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

A) 4√2/9

B) 2

C) 1

D) 3

25 / 40

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

A) 24π

B) 12π

C) 6π

D) 18π

26 / 40

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

A) 15

B) 16

C) 12

D) 14

27 / 40

27. 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) 9

C) 7

D) 14

28 / 40

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

A) 6

B) 5

C) 2

D) 30

29 / 40

29. sin(2arctg0,75) ni hisoblang

A) 22/25

B) 24/25

C) 11/15

D) 12/15

30 / 40

30. 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) 25

C) 16

D) 49

31 / 40

31. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-3)/3

B) (x+3)/2

C) (x-7)/2

D) (x-2)/3

32 / 40

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

A) -2≤x≤0

B) -2≤x≤2

C) 1≤x≤2

D) 0≤x≤2

33 / 40

33. 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) 6√3

C) 12

D) 24√3

34 / 40

34. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) (3-b)/2b

C) b/(3-b)

D) 3b/(2+b)

35 / 40

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

A) 18

B) 48

C) 12

D) 27

36 / 40

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

A) 2/9

B) 2/3

C) 4√4/9

D) 4√2/9

37 / 40

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

A) 1

B) -2

C) 2

D) 0

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) 11

B) 12

C) 9

D) 10

39 / 40

39. Aniqmas integralni hisoblang.