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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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Testda 76% va undan yuqori natija oling va sertifikatni yuklab oling.

1 / 40

1. va bo'lsa x-y=?

A) 8

B) 7

C) 5

D) 9

2 / 40

2. Ushbu sistemaga ko'ra (ac+bd)² ni toping.

A) 4

B) 2

C) 1

D) 3

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) (29π)/3

B) (28π)/3

C) (32π)/3

D) 11π

4 / 40

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

A) 16

B) 48

C) 32

D) 64

5 / 40

5. sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

A) 24

B) 35

C) 14

D) 23

6 / 40

6. x+y-z=7 va x²+y²+z²=19 bo'lsa, yz+xz-xy=?

A) 30

B) -6

C) -15

D) 15

7 / 40

7. Tenglama nechta yechimga ega?

A) 0

B) 3

C) 1

D) 2

8 / 40

8. ABC to‘g‘ri burchakli uchburchakda ∠B =90° , BC = 28, AC =100 va AB tomonda D nuqta shunday olinganki BD = 21 bo‘ladi. sin (∠ACD) ?

A) 0,6

B) 0,4

C) 0,8

D) 0,2

9 / 40

9. Ifodaning qiymatini hisoblang.

A) 1

B) 2+√3

C) 2-√3

D) 1-√3

10 / 40

10. Agar bo’lsa, ni qiymatini toping.

A) 5

B) 1/25

C) 1/5

D) 1

11 / 40

11. m/n=p-7=7+5/p bo'lsa, m²/n² ni toping.

A) 56

B) 63

C) 70

D) 54

12 / 40

12. |x²-2x|≤x yengsizlikni yeching.

A) (-2;0)∪[1;3]

B) {0}∪(1;3]

C) {0}∪[1;3]

D) {0}∪[1;3)

13 / 40

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

A) 2

B) log₂5

C) log₅2

D) 3

14 / 40

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

A) 2 sm;

B) 4 sm;

C) 3 sm;

D) 2 m;

15 / 40

15. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 3b/(2+b)

B) b/(3-b)

C) 2b/(3-b)

D) (3-b)/2b

16 / 40

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

A) 0

B) -2

C) 1

D) 2

17 / 40

17. 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

18 / 40

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

A) 1

B) 4√2/9

C) 3

D) 2

19 / 40

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

A) 16

B) 15

C) 12

D) 14

20 / 40

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

A) 1≤x≤2

B) 0≤x≤2

C) -2≤x≤2

D) -2≤x≤0

21 / 40

21. Aniqmas integralni hisoblang.

A) ln(lnx)

B) xlnx-x+c

C) ln(lnx)+c

D) lnx+c

22 / 40

22. 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

23 / 40

23. 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) 25

B) 49

C) 16

D) 36

24 / 40

24. 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

25 / 40

25. 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

26 / 40

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

A) 12

B) 18

C) 27

D) 48

27 / 40

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

A) 20

B) 36

C) 40

D) 42

28 / 40

28. 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

29 / 40

29. funksiyaga teskari funksiyani toping.

A) II

B) I

C) III

D) IV

30 / 40

30. 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) 3π²/4

C) π²/4

D) α²

31 / 40

31. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 22/25

C) 11/15

D) 24/25

32 / 40

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

A) 4√2/9

B) 2/3

C) 2/9

D) 4√4/9

33 / 40

33. 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

34 / 40

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

A) 2bdx+2bd

B) 2x+3b+4d

C) 2x(b+d)

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

35 / 40

35. 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

36 / 40

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

A) 1

B) 2

C) 3

D) 4

37 / 40

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

A) II

B) IV

C) I

D) III

38 / 40

38. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0,5

C) 0

D) 0,25

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) 9

B) 7

C) 14

D) 6

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) 12

B) 11

C) 9

D) 10