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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. Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

A) a>c>b

B) b>a>c

C) c>a>b

D) a>b>c

2 / 40

2. funksiyaning [2; 3] kesmadagi eng katta qiymatini

A) 7,5

B) 4

C) 4,5

D) 3

3 / 40

3. Soddalshtiring.

A) 2

B) 1

C) 6

D) -1

4 / 40

4. Burchagi 120° ga teng bo‘lgan doiraviy sektorga ichki doira chizilgan. Berilgan doiraning radiusi R ga teng bo‘lsa, yangi doiraning radiusi topilsin.

A) R(√3-√2)

B) 1,5R

C) 3R

D) √3R(2-√3)

5 / 40

5. ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

A) 12

B) 10

C) 6

D) 8

6 / 40

6. D(-1;0), C(0;-1), B(1;0), A(0;1) nuqtalardan hosil bo‘lgan ABCD to‘rtburchak simmetriya nuqtasi koordinatalarini toping.

A) (0;-1)

B) (0;0)

C) (-1;-1)

D) (1;1)

7 / 40

7. A = {1, 2,3,5,7} va B = {1, 2,3, 4,8} A va B to‘plamlar kesishmasini toping.

A) {1,2,3}

B) {2,3, 4,5,8,9}

C) {1, 2,3, 4,5,8}

D) {4,8}

8 / 40

8. Birinchi va oxirgi raqami juft bo‘lgan va 1000 ga bo‘linmaydigan barcha to‘rtxonali sonlar nechta?

A) 1600

B) 1800

C) 960

D) 1996

9 / 40

9. Quyidagi chizmada barcha 11 ta kesmaning uzunligi 2 ga teng bo‘lsa, ABCDE beshburchakning yuzini toping.

A) √11+√12

B) Aniqlab bo‘lmaydi

C) 11√+√13

D) 2√13

10 / 40

10. Ushbu tenglik da ham to‘g‘rimi?

A) Yo'q

B) Ha

11 / 40

11. Tenglamaning haqiqiy ildizlari ko‘paytmasini toping: x⁴+3x³+5x²+21x-14=0

A) 2

B) -2

C) 14

D) -7

12 / 40

12. y = x²+1-|sinx| funksiya grafigi OX o'qidan pastda yotadimi?

A) Yotmaydi

B) Yotadi

13 / 40

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

A) 24π

B) 12π

C) 6π

D) 18π

14 / 40

14. 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

B) 12√3

C) 24√3

D) 6√3

15 / 40

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

A) -2≤x≤0

B) 0≤x≤2

C) 1≤x≤2

D) -2≤x≤2

16 / 40

16. 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) 30

D) 6

17 / 40

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

A) 4

B) 1

C) 3

D) 2

18 / 40

18. sin(2arctg0,75) ni hisoblang

A) 22/25

B) 12/15

C) 11/15

D) 24/25

19 / 40

19. 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) 14

D) 9

20 / 40

20. 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

21 / 40

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

A) 2bdx+2bd

B) 2x+3b+4d

C) 2x(b+d)

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

22 / 40

22. 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; 2

C) 1;0

D) -1;-2

23 / 40

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

A) 16

B) 12

C) 15

D) 14

24 / 40

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

A) 4√2/9

B) 4√4/9

C) 2/3

D) 2/9

25 / 40

25. funksiyaga teskari funksiyani toping.

A) IV

B) I

C) II

D) III

26 / 40

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

A) -2

B) 2

C) 0

D) 1

27 / 40

27. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x+3)/2

C) (x-2)/3

D) (x-3)/3

28 / 40

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

A) 3

B) 1

C) 4√2/9

D) 2

29 / 40

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

A) 2 m;

B) 3 sm;

C) 4 sm;

D) 2 sm;

30 / 40

30. Aniqmas integralni hisoblang.

A) ln(lnx)

B) ln(lnx)+c

C) lnx+c

D) xlnx-x+c

31 / 40

31. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0,125

C) 0,5

D) 0

32 / 40

32. 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) 36

B) 49

C) 16

D) 25

33 / 40

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

A) IV

B) II

C) I

D) III

34 / 40

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

A) 48

B) 18

C) 12

D) 27

35 / 40

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

A) 20

B) 40

C) 36

D) 42

36 / 40

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

A) 10

B) 5

C) 6

D) 12

37 / 40

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

A) 3

B) log₅2

C) 2

D) log₂5

38 / 40

38. Silindr yon sirtining yoyilmasi tomoni b ga teng kvadratdan iborat. Silindir to’la sirtini toping.

A) b²/2π

B) b²+b²/2π

C) b²-b²/2π

D) b²-2π

39 / 40

39. 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) 12

D) 11

40 / 40

40. 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) π²/4

C) 3π²/4

D) α²