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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

28 Ko'rishlar 1 izoh

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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) 8

B) 24

C) 32

D) 16

2 / 40

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

A) 0

B) 3

C) 1

D) 2

3 / 40

3. Soddalshtiring.

A) 2

B) -1

C) 1

D) 6

4 / 40

4. Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

A) 50

B) 25

C) 32

D) 41

5 / 40

5. vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 1

B) 2

C) 3

D) 4

6 / 40

6. ABC uchburchak o‘tkir burchaklarining bissektrisalari D nuqtada kesishadi. Bunda ∠A = 90° , BD = 8 , CD = 6 bo‘lsa, BCD uchburchak yuzini toping.

A) 6√2

B) 8√2

C) 12√2

D) 12

7 / 40

7. T= 1·1!+2·2!+ 3· 3!+ ...+ 19·19! T bo‘lsa, T +1 yig‘indi nechta 0 bilan tugaydi?

A) 2

B) 3

C) 1

D) 4

8 / 40

8. ABCD to‘g‘ri to‘rtburchak bo‘lib, DM kesma to‘rtburchak tekisligiga perpendikulyar. Agar DM kesmaning uzunligi butun son bo‘lib, MA, MC va MB kesma uzunliklari mos ravsihda ketma-ket kelgan toq sonlar bo‘lsa, u holda MABCD piramida hajmini toping.

A) 28√5

B) 60

C) 66

D) 24√5

9 / 40

9. ABCD parallelogrammning A va D uchlari M tekislikda, B va C uchlari uning tashqarisida, AD = 10 cm, AB = 15 cm, AC va BD diagonallarining M tekislikdagi proyeksiyalari mos ravishda 13,5 cm va 10,5 cm ga teng. Parallelogrammning diagonallarini toping.

A) 20, 17

B) 19, 17

C) 19, 18

D) 20, 16

10 / 40

10. Hisoblang:

A) 22

B) 27

C) 25

D) 24

11 / 40

11. Funksiyaning aniqlanish sohasini toping.

A) (-3;3)

B) Ø

C) {3}

D) (-∞;-3)∪(3;∞)

12 / 40

12. Hisoblang.

A) 6

B) 4

C) 5

D) 3

13 / 40

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

A) -2≤x≤2

B) 1≤x≤2

C) 0≤x≤2

D) -2≤x≤0

14 / 40

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

A) α²

B) π²/4

C) 2π²

D) 3π²/4

15 / 40

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

A) 2 m;

B) 4 sm;

C) 3 sm;

D) 2 sm;

16 / 40

16. 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) 10

C) 11

D) 12

17 / 40

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

A) 2/3

B) 4√2/9

C) 4√4/9

D) 2/9

18 / 40

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

A) 42

B) 36

C) 40

D) 20

19 / 40

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

A) IV

B) III

C) II

D) I

20 / 40

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

A) 12

B) 5

C) 6

D) 10

21 / 40

21. 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; 0

D) -1; 2

22 / 40

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

A) 2

B) 3

C) 1

D) 4√2/9

23 / 40

23. funksiyaga teskari funksiyani toping.

A) II

B) I

C) III

D) IV

24 / 40

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

A) 0

B) 2

C) 1

D) -2

25 / 40

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

A) 6π

B) 24π

C) 12π

D) 18π

26 / 40

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

A) 15

B) 12

C) 16

D) 14

27 / 40

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

A) log₂5

B) 3

C) log₅2

D) 2

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) 6

B) 2

C) 30

D) 5

29 / 40

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

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

B) 2x+3b+4d

C) 2bdx+2bd

D) 2x(b+d)

30 / 40

30. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 3b/(2+b)

B) (3-b)/2b

C) b/(3-b)

D) 2b/(3-b)

31 / 40

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

A) 4

B) 1

C) 3

D) 2

32 / 40

32. 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

33 / 40

33. 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

34 / 40

34. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 12/15

C) 22/25

D) 11/15

35 / 40

35. 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

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) 6√3

B) 24√3

C) 12

D) 12√3

37 / 40

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

A) 27

B) 18

C) 12

D) 48

38 / 40

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