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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. Bobur 14 m/s tezlik bilan 5 soat, 36 km/soat tezlik bilan 5 minut yugurgan bo’lsa , Boburning umumiy yurgan yo’li topilsin

A) 456 km

B) 13 km

C) 670 km

D) 255 km

2 / 40

2. P(x), Q(x) va R(x) ko'phatdalar berilgan. Bunda P(x) ko'phadning odoz hadi Q(x) ko'phadning ozod hadidan ikki marta katta va P(0)≠0. P(x)=Q(x)·R(x+1) bo'lsa, R(x) ko'phadning koeffitsiyentlarining yig'indisini toping.

A) 1

B) 2

C) 4

D) 3

3 / 40

3. DC||AB , ∠DCE=45°,∠CEA=x va ∠EAB=115° ga tengbo`lsa x ni toping ?

A) 120°

B) 130°

C) 100°

D) 110°

4 / 40

4. ABCD trapetsiyaning AC diagonali CD yon tomonga perpendikulyar. Agar ∠D=69° va AB = BC bo‘lsa, B burchakni toping.

A) 138°

B) 135°

C) 132°

D) 142°

5 / 40

5. ABC uchburchakning A burchgi 30° ga, B burchagi 75° ga teng. B uchidan AC tomonga BD kesma o‘tkazilgan. ABD burchak 45° ga teng bo‘lsa, quyidagilardan qaysi biri noto‘g‘ri?

A) DC < AD

B) AB = BC

C) BC > AD

D) BD = BC

6 / 40

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

A) z>y>x

B) y>x>z

C) y>z>x

D) z>x>y

7 / 40

7. bo‘lsa, f ''(1) ning qiymatini toping.

A) 0

B) 12

C) -12

D) -24

8 / 40

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

A) 960

B) 1800

C) 1600

D) 1996

9 / 40

9. Piramidaning asoslari tomonlari 5, 12 va 13 cm ga teng bo‘lgan uchburchakdan iborat. Piramidaning barcha ikki yoqli burchaklari 60° ga teng bo‘lsa, uning hajmini toping.

A) 36√3

B) 24√3

C) 48√3

D) 20√3

10 / 40

10. Agar bo’lsa, ni qiymatini toping.

A) 5

B) 1/25

C) 1

D) 1/5

11 / 40

11. Teng yonli trapetsiyaning diagionali o‘rta chizig‘ini 1 va 5 ga teng kesmalarga ajratadi. Trapetsiyaning yuzi 48 ga teng bo‘lsa, yon tomonini toping.

A) 4√5

B) 3√2

C) 6

D) 5

12 / 40

12. Hisoblang.

A) 24+3b

B) 24-3b

C) 14-2b

D) 26-3b

13 / 40

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

A) 3

B) log₂5

C) 2

D) log₅2

14 / 40

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

A) 2/9

B) 4√4/9

C) 2/3

D) 4√2/9

15 / 40

15. 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

16 / 40

16. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0

C) 0,25

D) 0,5

17 / 40

17. Aniqmas integralni hisoblang.

A) ln(lnx)

B) ln(lnx)+c

C) xlnx-x+c

D) lnx+c

18 / 40

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

A) 3 sm;

B) 2 m;

C) 2 sm;

D) 4 sm;

19 / 40

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

A) 1

B) -2

C) 2

D) 0

20 / 40

20. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-3)/3

B) (x-7)/2

C) (x-2)/3

D) (x+3)/2

21 / 40

21. 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

22 / 40

22. 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) 30

D) 2

23 / 40

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

A) 2

B) 4

C) 3

D) 1

24 / 40

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

A) 24π

B) 6π

C) 18π

D) 12π

25 / 40

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

A) 0≤x≤2

B) 1≤x≤2

C) -2≤x≤2

D) -2≤x≤0

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; 0

D) -1; 2

27 / 40

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

A) 2x+3b+4d

B) 2x(b+d)

C) 2bdx+2bd

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

28 / 40

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

A) 1

B) 4√2/9

C) 2

D) 3

29 / 40

29. 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

30 / 40

30. sin(2arctg0,75) ni hisoblang

A) 22/25

B) 11/15

C) 24/25

D) 12/15

31 / 40

31. 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) 3π²/4

C) 2π²

D) π²/4

32 / 40

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

A) 18

B) 27

C) 12

D) 48

33 / 40

33. funksiyaga teskari funksiyani toping.

A) II

B) III

C) IV

D) I

34 / 40

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

A) III

B) IV

C) I

D) II

35 / 40

35. 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) 10

D) 12

36 / 40

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

A) 40

B) 20

C) 42

D) 36

37 / 40

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

A) 16

B) 14

C) 12

D) 15

38 / 40

38. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 3b/(2+b)

B) (3-b)/2b

C) 2b/(3-b)

D) b/(3-b)

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) 6√3

B) 12√3

C) 24√3

D) 12

40 / 40

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

A) 10

B) 6

C) 12

D) 5