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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. Abdulla, Samandar va Jamshid 3 ta stulga necha xil usulda utirishi mumkin?

A) 6

B) 9

C) 7

D) 27

2 / 40

2. Tengsizlikni yeching.

A) [-2;1]∪{-3}

B) [-3;-2]

C) (-∞;-2]

D) [-3;2]∪{1}

3 / 40

3. Soddalshtiring.

A) 6

B) -1

C) 2

D) 1

4 / 40

4. Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

A) 4

B) -4

C) √17

D) -√17

5 / 40

5. a+b+c=10, bo‘lsa, ni toping.

A) 11

B) 4

C) 6

D) 5

6 / 40

6. Quyidagilardan qaysi birlari to‘g‘ri?

A) II va IV

B) I, III va V

C) I va V

D) I va III

7 / 40

7. Ishchining maoshi 900000 so‘m edi. Uning maoshi ketma-ket ikki marta bir xil foizga oshgandan so‘ng, 1190250 so‘m bo‘ldi. Maosh har safar necha foizga oshgan?

A) 14

B) 12

C) 15

D) 18

8 / 40

8. Diagonallari 6 va 8 ga teng bo‘lgan rombga ichki aylana chizilgan. Aylananing romb tomoni bilan urinish nuqtasidan katta diagonalgacha bo‘lgan masofani toping.

A) 1,8

B) 1,92

C) 3,2

D) 2,4

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) 19, 18

B) 19, 17

C) 20, 16

D) 20, 17

10 / 40

10. P(x) koʻphad berilgan: P(x)=3·x^n-4 -5·x^24/n -x²+1 n=4 da P(x)-koʻphadning ozod hadi 3 ga karrali boʻla oladimi?

A) Yo'q

B) Ha

11 / 40

11. Funksiyaning aniqlanish sohasini toping.

A) {3}

B) (-3;3)

C) Ø

D) (-∞;-3)∪(3;∞)

12 / 40

12. f(x) = x²-3x-2 bo'lsa. f(a+b+c)-f(abc)=? Bunda a, b, c - kvadrat funksiya koeffitsiyentlari.

A) 40

B) 36

C) 38

D) 42

13 / 40

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

A) 48

B) 12

C) 27

D) 18

14 / 40

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

A) 2x(b+d)

B) 2x+3b+4d

C) 2bdx+2bd

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

15 / 40

15. Hisoblang: sin10° •sin50° •sin70°

A) 0,5

B) 0,25

C) 0,125

D) 0

16 / 40

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

A) 18π

B) 12π

C) 24π

D) 6π

17 / 40

17. 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) 20

D) 36

18 / 40

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

A) 4√2/9

B) 4√4/9

C) 2/9

D) 2/3

19 / 40

19. 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;

20 / 40

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

A) II

B) I

C) III

D) IV

21 / 40

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

A) 3

B) 1

C) 2

D) 4

22 / 40

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

A) -2≤x≤2

B) 1≤x≤2

C) -2≤x≤0

D) 0≤x≤2

23 / 40

23. 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

24 / 40

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

A) 0

B) -2

C) 2

D) 1

25 / 40

25. 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) 25

D) 36

26 / 40

26. 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

27 / 40

27. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) (3-b)/2b

B) 2b/(3-b)

C) b/(3-b)

D) 3b/(2+b)

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) 2

B) 5

C) 6

D) 30

29 / 40

29. 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

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) α²

C) π²/4

D) 3π²/4

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-b²/2π

D) b²-2π

32 / 40

32. 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

33 / 40

33. 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

34 / 40

34. 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√3

D) 12

35 / 40

35. funksiyaga teskari funksiyani toping.

A) II

B) I

C) IV

D) III

36 / 40

36. 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

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) 10

B) 12

C) 9

D) 11

38 / 40

38. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 22/25

C) 12/15

D) 24/25

39 / 40

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