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Matematika attestatsiya №13

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Iyul 21, 2022

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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)/2

C) e-1

D) e+1

2 / 40

2. Hisoblang:

A) 7

B) 27

C) 9

D) 4

3 / 40

3. Soddalshtiring.

A) 6

B) 2

C) -1

D) 1

4 / 40

4. tenglama intervalda nechta ildizga ega?

A) 2

B) 4

C) 3

D) 1

5 / 40

5. Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 6√7

B) 4√7

C) 8

D) 10

6 / 40

6. Tenglamani yeching:

A) -10

B) x∈R

C) 10

D) Ø

7 / 40

7. Ishchining maoshi 900000 so‘m edi. Uning maoshi ketma-ket ikki marta bir xil foizga oshgandan so‘ng, 1190250 so‘m bo‘ldi. Maosh har safar necha foizga oshgan?

A) 14

B) 12

C) 18

D) 15

8 / 40

8. Agar n = 2018 bo‘lsa, ifodaning qiymatini toping.

A) 2/3

B) 1

C) 3/2

D) 2018/2019

9 / 40

9. y = 4x³-18x² + 24x -10 egri chizig‘iga qaysi nuqtalarida o‘tkazilgan urinmalar Ox o‘qiga parellel bo‘ladi?

A) (2;-2) va (1;0)

B) (2;-2) va (0;1)

C) (-2;2) va (0;1)

D) (-2;2) va (1;0)

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. Tengsizlikni yeching.

A) (-1;0)

B) (0;0,5)

C) (-0,5;0)

D) (0;1)

12 / 40

12. Hisoblang. cos²10° + cos²30° + cos²80°

A) 0

B) 3/7

C) 7/3

D) 7/4

13 / 40

13. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)+c

C) ln(lnx)

D) lnx+c

14 / 40

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

A) 12

B) 6

C) 5

D) 10

15 / 40

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

A) b²+b²/2π

B) b²-2π

C) b²-b²/2π

D) b²/2π

16 / 40

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

A) 5

B) 1

C) 2

D) -1

17 / 40

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

A) 2

B) 1

C) -2

D) 0

18 / 40

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

A) II

B) I

C) IV

D) III

19 / 40

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

A) 42

B) 20

C) 40

D) 36

20 / 40

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

A) -2≤x≤2

B) 0≤x≤2

C) -2≤x≤0

D) 1≤x≤2

21 / 40

21. 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

B) 24√3

C) 12√3

D) 6√3

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;-2

B) -1; 2

C) 1;0

D) -1; 0

23 / 40

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

A) 2 sm;

B) 2 m;

C) 3 sm;

D) 4 sm;

24 / 40

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

A) 18

B) 12

C) 27

D) 48

25 / 40

25. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) (3-b)/2b

C) 3b/(2+b)

D) b/(3-b)

26 / 40

26. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x+3)/2

C) (x-7)/2

D) (x-3)/3

27 / 40

27. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 12/15

C) 22/25

D) 11/15

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) 30

B) 5

C) 2

D) 6

29 / 40

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

A) 3

B) log₅2

C) log₂5

D) 2

30 / 40

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

A) 4√2/9

B) 1

C) 2

D) 3

31 / 40

31. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0,125

C) 0,5

D) 0

32 / 40

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

A) 12

B) 16

C) 14

D) 15

33 / 40

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

A) 2x+3b+4d

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

C) 2bdx+2bd

D) 2x(b+d)

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) 36

B) 25

C) 16

D) 49

35 / 40

35. sin²α+ sin²β= 1 tenglamada 0<α<π/2 va 0<β<π/2 bo’lsa, α²+π²/2+β²+2αβ ni hisoblang.

A) 2π²

B) α²

C) 3π²/4

D) π²/4

36 / 40

36. funksiyaga teskari funksiyani toping.

A) III

B) IV

C) II

D) I

37 / 40

37. 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) 9

C) 6

D) 14

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) 10

C) 12

D) 9

39 / 40

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