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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

127 Ko'rishlar 1 izoh

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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. funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 7,5

B) 4

C) 3

D) 4,5

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) (28π)/3

B) (32π)/3

C) (29π)/3

D) 11π

4 / 40

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

A) 5

B) 4

C) 2

D) 1

5 / 40

5. Sonlarining o‘rta geometrik qiymatini toping.

A) 3√2

B) 4√3

C) 2√3

D) 2√2

6 / 40

6. Taqqoslang: x = 3⁵¹, y = 5³⁴ , z = 2⁸⁵

A) z>y>x

B) z>x>y

C) y>z>x

D) y>x>z

7 / 40

7. Qavariq ko‘pburchakning diagonallari soni 5 ga teng bo‘lsa, burchaklari sonini toping.

A) 6

B) 7

C) 5

D) 4

8 / 40

8. ABCD trapetsiyaning yuzi 24 ga teng asoslari DC = 6, AB = 2, BC tomondan E nuqta olingan bo‘lib, BE = 2EC bo‘lsa, ADE uchburchakning yuzini toping.

A) 12

B) 21

C) 16

D) 14

9 / 40

9. Agar x² -1 = 0 tenglamaning ildizi r-1/r bo‘lsa, u holda r⁴+1/r⁴ ni toping.

A) 7

B) 5

C) 1

D) 4

10 / 40

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

A) 1/2

B) 23/12

C) 11/12

D) 1/6

11 / 40

11. Agar tgα = 7 bo‘lsa, ifodaning qiymatini toping.

A) 0,5

B) 0,45

C) 0,49

D) 0,47

12 / 40

12. Tenglamani yeching.

A) 3

B) 2

C) 4

D) 1

13 / 40

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

A) 2

B) 1

C) 4√2/9

D) 3

14 / 40

14. 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

15 / 40

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

A) 2

B) 1

C) 3

D) 4

16 / 40

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

A) 12π

B) 18π

C) 24π

D) 6π

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) 6√3

B) 24√3

C) 12

D) 12√3

18 / 40

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

A) 14

B) 9

C) 7

D) 6

19 / 40

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

A) 1≤x≤2

B) -2≤x≤0

C) -2≤x≤2

D) 0≤x≤2

20 / 40

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

A) 2b/(3-b)

B) 3b/(2+b)

C) (3-b)/2b

D) b/(3-b)

21 / 40

21. 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

22 / 40

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

A) 3π²/4

B) α²

C) π²/4

D) 2π²

23 / 40

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

A) 14

B) 16

C) 15

D) 12

24 / 40

24. 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) 49

B) 36

C) 25

D) 16

25 / 40

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

A) III

B) I

C) IV

D) II

26 / 40

26. 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;

27 / 40

27. funksiyaga teskari funksiyani toping.

A) II

B) IV

C) I

D) III

28 / 40

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

A) 12

B) 5

C) 10

D) 6

29 / 40

29. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 22/25

C) 11/15

D) 12/15

30 / 40

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

A) 1

B) 0

C) -2

D) 2

31 / 40

31. 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

32 / 40

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

A) 2x+3b+4d

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

C) 2x(b+d)

D) 2bdx+2bd

33 / 40

33. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0,125

C) 0,5

D) 0

34 / 40

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

A) 4√4/9

B) 4√2/9

C) 2/9

D) 2/3

35 / 40

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

A) log₅2

B) 3

C) 2

D) log₂5

36 / 40

36. 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;0

C) -1; 2

D) -1;-2

37 / 40

37. 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) 12

C) 11

D) 10

38 / 40

38. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-2)/3

B) (x+3)/2

C) (x-3)/3

D) (x-7)/2

39 / 40

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