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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

100 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 ni hisoblang.

A) 9

B) Cheksiz

C) 0

D) 8

2 / 40

2. tenglamaning ildizlari yig'indisini(agar ildizi bitta bo'lsa, o'zini) toping.

A) 1

B) 2

C) 3

D) 0

3 / 40

3. Shaharlar orasidagi masofa xaritada 5 sm ga teng bo`lsava xaritaning masshtabi 1:4000000 bo`lsa , shaharlar orasidagi haqiqiy masofa qanchaga teng ?

A) 200 km

B) 2 km

C) 0,2km

D) 20 km

4 / 40

4. x>0 bo‘lsa, 128x+1/x² yig‘indining eng kichik qiymatini toping.

A) 16

B) 32

C) 48

D) 64

5 / 40

5. ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

A) 12

B) 6

C) 10

D) 8

6 / 40

6. raqamlari turlicha bo‘lgan uch xonali juft sonlar. x+ y ning eng kichik qiymatini toping.

A) 12

B) 14

C) 8

D) 10

7 / 40

7. ushbu kasrning maxrajini irratsionalikdan qutqaring.

A) √10-√15+√14-√21

B) √10-√15+√21+√14

C) √10+√15+√14-√21

D) √10-√15+√21-√41

8 / 40

8. Hisoblang.

A) 1

B) 0

C) 2019/2018

D) 2019/4036

9 / 40

9. x² - 4|x|-a - 3 = 0 tenglama ikkita yechimga ega bo‘ladigan barcha butun manfiy a lar nechta?

A) 2

B) 1

C) 0

D) 3

10 / 40

10. Berilgan chizmadan foydalanib α + β ning qiymatini toping:

A) 45°

B) 75°

C) 30°

D) 60°

11 / 40

11. Tengsizlikni yeching.

A) (-3;0)

B) [-3;3]

C) (0;3)

D) (-3;3)

12 / 40

12. Tenglama ildizlari yig'indisini toping.

A) 2

B) 0

C) -1

D) 4

13 / 40

13. 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) π²/4

C) α²

D) 3π²/4

14 / 40

14. 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) 49

C) 16

D) 25

15 / 40

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

A) 4√2/9

B) 1

C) 3

D) 2

16 / 40

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

A) 40

B) 42

C) 36

D) 20

17 / 40

17. 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)

18 / 40

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

A) 5

B) 2

C) 6

D) 30

19 / 40

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

A) 14

B) 16

C) 12

D) 15

20 / 40

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

A) IV

B) III

C) I

D) II

21 / 40

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

A) 12

B) 27

C) 18

D) 48

22 / 40

22. funksiyaga teskari funksiyani toping.

A) II

B) I

C) III

D) IV

23 / 40

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

A) 2/9

B) 2/3

C) 4√4/9

D) 4√2/9

24 / 40

24. 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

25 / 40

25. sin(2arctg0,75) ni hisoblang

A) 22/25

B) 12/15

C) 11/15

D) 24/25

26 / 40

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

A) 6

B) 10

C) 12

D) 5

27 / 40

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

A) -2≤x≤0

B) -2≤x≤2

C) 1≤x≤2

D) 0≤x≤2

28 / 40

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

A) 3

B) 2

C) 1

D) 4

29 / 40

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

A) 1

B) -2

C) 0

D) 2

30 / 40

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

A) 1

B) -1

C) 2

D) 5

31 / 40

31. 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;

32 / 40

32. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0

C) 0,5

D) 0,125

33 / 40

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

A) 2bdx+2bd

B) 2x+3b+4d

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

D) 2x(b+d)

34 / 40

34. Aniqmas integralni hisoblang.

A) lnx+c

B) ln(lnx)+c

C) ln(lnx)

D) xlnx-x+c

35 / 40

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

A) b²+b²/2π

B) b²-b²/2π

C) b²-2π

D) b²/2π

36 / 40

36. 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) 6√3

C) 12√3

D) 12

37 / 40

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

A) log₅2

B) log₂5

C) 2

D) 3

38 / 40

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

A) 12π

B) 6π

C) 18π

D) 24π

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) 6

D) 9

40 / 40

40. 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) 10

B) 11

C) 12

D) 9