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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. Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

A) 32

B) 24

C) 16

D) 8

2 / 40

2. x⁴+8x³+ax²+bx+1 ko'phadning kvadrati bo'lsa, a va b koeffitiyentlarning barcha qiymatlari yig'indisini toping.

A) 27

B) 32

C) 26

D) 48

3 / 40

3. Hisoblang:

A) 2

B) 4

C) 1

D) 3

4 / 40

4. Bo‘yi 130 cm, eni 90 cm, balandligi 60 cm bo‘lgan idishdagi suvning 234 litri olindi. Idishda qolgan suvning (sathi) balandligini toping.

A) 25

B) 35

C) 20

D) 40

5 / 40

5. P(x+1)=x³+3x²-2x+a+3 ko‘phadi berilgan. P(x+2) ko‘phadining koeffitsiyentlari yig‘indisini 8 ga teng bo‘lsa, a nechaga teng?

A) -3

B) -6

C) 5

D) -4

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. G‘orning 7 ta eshigi bor, sayyoh bu g‘orga necha usulda kirib, yana qaytib chiqishi mumkin? (Bunda har bir eshikdan faqat bir marta o‘tish mumkin)

A) 49

B) 7⁷

C) 36

D) 42

8 / 40

8. ABCD to‘g‘ri to‘rtburchakda CD tomonining o‘rtasi E nuqta, EA kesmaning o‘rtasi esa F nuqta. AB=4 va bu to‘g‘ri to‘rtburchakning yuzi 8 ga teng bo‘lsa, BF/FA nisbat nechiga teng bo‘ladi?

A) 1

B) √5

C) √3

D) √2

9 / 40

9. log_a 27 = b bo‘lsa, ni toping.

A) 1/b

B) -2/b

C) 2/b

D) -1/b

10 / 40

10. Kvadrat rasmdagi kabi 4 ta uchburchakka ajratilgan , 3 ta uchburchakning yuzlari mos ravishda 2, 3, 4 ga teng . Berilgan shakldagi noʼmalum yuzani toping.

A) 8

B) 10

C) 7

D) Aniqlab bo‘lmaydi

11 / 40

11. Hisoblang.

A) -2

B) 2

C) 0

D) 1

12 / 40

12. Hisoblang.

A) 2/3

B) 5/3

C) 3/5

D) 3/2

13 / 40

13. Aniqmas integralni hisoblang.

A) ln(lnx)

B) xlnx-x+c

C) lnx+c

D) ln(lnx)+c

14 / 40

14. Hisoblang: sin10° •sin50° •sin70°

A) 0

B) 0,25

C) 0,125

D) 0,5

15 / 40

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

A) III

B) IV

C) I

D) II

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. 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

18 / 40

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

A) 2bdx+2bd

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

C) 2x(b+d)

D) 2x+3b+4d

19 / 40

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

A) 3

B) 1

C) 2

D) 4

20 / 40

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

A) 27

B) 48

C) 18

D) 12

21 / 40

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

A) 2/9

B) 4√4/9

C) 2/3

D) 4√2/9

22 / 40

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

A) -2

B) 1

C) 0

D) 2

23 / 40

23. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-3)/3

B) (x+3)/2

C) (x-2)/3

D) (x-7)/2

24 / 40

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

A) 3

B) 2

C) log₂5

D) log₅2

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) 5

B) 6

C) 30

D) 2

26 / 40

26. 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; 0

C) -1; 2

D) 1;0

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) 7

B) 6

C) 9

D) 14

28 / 40

28. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 11/15

C) 22/25

D) 24/25

29 / 40

29. funksiyaga teskari funksiyani toping.

A) I

B) IV

C) III

D) II

30 / 40

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

A) 14

B) 15

C) 16

D) 12

31 / 40

31. 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) 11

C) 12

D) 10

32 / 40

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

A) 2

B) 1

C) 5

D) -1

33 / 40

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

A) 12π

B) 6π

C) 24π

D) 18π

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) 16

B) 49

C) 36

D) 25

35 / 40

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

A) 4 sm;

B) 3 sm;

C) 2 m;

D) 2 sm;

36 / 40

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

A) 4√2/9

B) 1

C) 3

D) 2

37 / 40

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

A) 10

B) 12

C) 6

D) 5

38 / 40

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

A) 40

B) 36

C) 42

D) 20

39 / 40

39. 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

40 / 40

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

A) -2≤x≤2

B) 1≤x≤2

C) 0≤x≤2

D) -2≤x≤0