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Matematika attestatsiya №13

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Iyul 21, 2022

100 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. ni hisoblang.

A) (e-1)/2

B) e-1

C) (e+1)/2

D) e+1

2 / 40

2. tenglamani yeching.

A) log(3/5)2

B) log(5/3)2

C) 5

D) 3

3 / 40

3. Hisoblang 200−199+198−197+⋯+4−3

A) 98

B) 99

C) 100

D) 101

4 / 40

4. Agar bo'lsa, ni m orqali ifodalang.

A) (m+4)/4

B) (m+1)/2

C) (4-m)/4

D) 2/m

5 / 40

5. Sonlarining o‘rta geometrik qiymatini toping.

A) 2√2

B) 3√2

C) 2√3

D) 4√3

6 / 40

6. raqamlari turlicha bo‘lgan uch xonali juft sonlar. x+ y ning eng kichik qiymatini toping.

A) 14

B) 10

C) 12

D) 8

7 / 40

7. (a∈N) a sonining qanday eng kichik qiymatida (65–a) ifoda mukammal sonlardan biriga teng bo‘ladi?

A) 37

B) 17

C) 28

D) 59

8 / 40

8. Agar n = 2018 bo‘lsa, ifodaning qiymatini toping.

A) 1

B) 3/2

C) 2/3

D) 2018/2019

9 / 40

9. A(1; 3) nuqtadan 12x+5y+a–4=0 to’g’ri chiziqqacha bo’lgan masofa 2 bo’lsa, a ni toping.

A) 3

B) 2

C) 4

D) 1

10 / 40

10. Rostgo’ylar va yolg’onchilar orolida gulxan atrofida o’tirgan 7 ta kishi har biri “Men ikki yolg’onchining orasida o’tiribman” deydi. Orolda nechta yolg’onchi bor?

A) 4 ta

B) 3 ta

C) 5 ta

D) 7 ta

11 / 40

11. Soddalashtiring:

A) -2√b

B) 2√b-2√a

C) 2√a-2√b

D) -2√a

12 / 40

12. Hisoblang.

A) 26-3b

B) 14-2b

C) 24+3b

D) 24-3b

13 / 40

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

A) 2

B) -1

C) 1

D) 5

14 / 40

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

A) 3

B) 2

C) 4

D) 1

15 / 40

15. f(x+10)=f(x)·f(x-10)-x f(0)=1/2 va f(10)=30 bo’lsa, f(20)=?

A) 2

B) 6

C) 30

D) 5

16 / 40

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

A) 2/9

B) 2/3

C) 4√2/9

D) 4√4/9

17 / 40

17. 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

18 / 40

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

A) II

B) I

C) IV

D) III

19 / 40

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

A) -2

B) 2

C) 0

D) 1

20 / 40

20. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0,125

C) 0

D) 0,5

21 / 40

21. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) b/(3-b)

C) (3-b)/2b

D) 3b/(2+b)

22 / 40

22. Aniqmas integralni hisoblang.

A) ln(lnx)+c

B) ln(lnx)

C) xlnx-x+c

D) lnx+c

23 / 40

23. 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) 25

C) 49

D) 36

24 / 40

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

A) 12

B) 14

C) 15

D) 16

25 / 40

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

A) 2

B) log₅2

C) log₂5

D) 3

26 / 40

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

A) -2≤x≤2

B) 0≤x≤2

C) 1≤x≤2

D) -2≤x≤0

27 / 40

27. 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

28 / 40

28. sin(2arctg0,75) ni hisoblang

A) 12/15

B) 24/25

C) 22/25

D) 11/15

29 / 40

29. 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) 3π²/4

C) α²

D) π²/4

30 / 40

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

A) 6π

B) 18π

C) 24π

D) 12π

31 / 40

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

A) 2bdx+2bd

B) 2x+3b+4d

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

D) 2x(b+d)

32 / 40

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

A) 4√2/9

B) 2

C) 3

D) 1

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) 14

B) 7

C) 6

D) 9

34 / 40

34. 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) 36

D) 42

35 / 40

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

A) 2 sm;

B) 2 m;

C) 3 sm;

D) 4 sm;

36 / 40

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

A) 10

B) 6

C) 5

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) 9

C) 12

D) 11

38 / 40

38. funksiyaga teskari funksiyani toping.

A) IV

B) III

C) I

D) II

39 / 40

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

A) 48

B) 27

C) 12

D) 18

40 / 40

40. 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) 12√3

C) 12

D) 6√3