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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

102 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. tengsizlik yechimi bo’la oladigan tub sonlar nechta?

A) 5

B) 3

C) 2

D) 4

2 / 40

2. Bir odam shunday vasiyat qildi: “Naqd 10 dirham pulim bor. Bir kishiga qarz ham berganman. Qarzning miqdori o'g'lim oladigan merosga teng. Ikkala o'g'lim barobar meros olishsin. Ukamga jami merosning 0,2 qismini va yana 1 dirham beringlar”. U kishining o'g'illari necha dirhamdan meros olishgan?

A) 35/6

B) 8

C) 6

D) 25/3

3 / 40

3. Quyida berilgan tizimda yonma - yon shakillardagisonlar ustida pasdagi ( EKUB yoki EKUK topish) amali bajariladi , natija amal pastigi shakilga yoziladi

Shunga ko`ra 1 , 2 va 3 amallar EKUB yoki EKUK dan qaysi biri bo`lishi kerak

A) 1-EKUB 2-EKUB 3-EKUB

B) 1-EKUB 2-EKUK 3-EKUB

C) 1-EKUB 2-EKUB 3-EKUK

D) 1-EKUB 2-EKUK 3-EKUK

4 / 40

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

A) (m+1)/2

B) (m+4)/4

C) 2/m

D) (4-m)/4

5 / 40

5. To‘g‘ri to‘rtburchakning 16 ga teng diagonali yon tomoni bilan 15° li burchak tashkil etadi. To‘rtburchak yuzini toping.

A) 42

B) 32

C) 64

D) 48

6 / 40

tengsizlik o‘rinli bo‘ladigan a va b ning natural qiymatlari
yig‘indisini toping.

A) 17

B) 7

C) 5

D) 12

7 / 40

7. ushbu kasrning maxrajini irratsionalikdan qutqaring.

A) √10-√15+√14-√21

B) √10-√15+√21-√41

C) √10+√15+√14-√21

D) √10-√15+√21+√14

8 / 40

8. Agar aylananing o‘zaro parallel bo‘lgan uzunliklari 38, 38 va 34 ga teng vatarlari orasidagi masofalar bir xil bo‘lsa, shu masofani toping.

A) 6,5

B) 7

C) 6

D) 5,5

9 / 40

9. Bir nechta natural sonlardan tuzilgan S to‘plam berilgan. Bu sonlarning o‘rta
arifmetigi eng kattasini hisobga olmaganda 32 ga, eng kichigini hisobga olmaganda 40 ga, eng kattasini ham eng kichigini ham hisobga olmaganda esa 35 ga teng. Agar eng katta son eng kichigidan 72 ga ortiq bo‘lsa, u holda S to‘plamdagi barcha sonlarning o‘rta arifmetigini toping.

A) 36,4

B) 36,6

C) 36,2

D) 36,8

10 / 40

10. DC-B markazli aylana yoyi, AC-urinma, AB-kesuvchi va S₁=2S₂ ekanligi maʼlum boʻlsa, tgα/α ni toping.

A) 5/2

B) 3/2

C) 3

D) 1

11 / 40

11. Funksiyaning aniqlanish sohasini toping.

A) (-3;3)

B) Ø

C) {3}

D) (-∞;-3)∪(3;∞)

12 / 40

12. Hisoblang.

A) 2

B) 0

C) 4

D) 1

13 / 40

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

A) 4 sm;

B) 2 sm;

C) 3 sm;

D) 2 m;

14 / 40

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

A) 4√2/9

B) 2/3

C) 4√4/9

D) 2/9

15 / 40

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

A) 4

B) 1

C) 2

D) 3

16 / 40

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

A) 1

B) 5

C) -1

D) 2

17 / 40

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

A) 0

B) -2

C) 2

D) 1

18 / 40

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

A) π²/4

B) α²

C) 3π²/4

D) 2π²

19 / 40

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

A) 10

B) 12

C) 6

D) 5

20 / 40

20. Hisoblang: sin10° •sin50° •sin70°

A) 0,25

B) 0

C) 0,5

D) 0,125

21 / 40

21. 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

22 / 40

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

A) 18

B) 12

C) 27

D) 48

23 / 40

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

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

B) 2x(b+d)

C) 2bdx+2bd

D) 2x+3b+4d

24 / 40

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

A) III

B) II

C) IV

D) I

25 / 40

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

A) 12π

B) 24π

C) 18π

D) 6π

26 / 40

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

A) 40

B) 36

C) 42

D) 20

27 / 40

27. funksiyaga teskari funksiyani toping.

A) I

B) IV

C) II

D) III

28 / 40

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

A) b²-2π

B) b²+b²/2π

C) b²/2π

D) b²-b²/2π

29 / 40

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

A) 3

B) 1

C) 2

D) 4√2/9

30 / 40

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

A) -2≤x≤2

B) 1≤x≤2

C) -2≤x≤0

D) 0≤x≤2

31 / 40

31. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 24/25

C) 22/25

D) 12/15

32 / 40

32. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-3)/3

B) (x-7)/2

C) (x+3)/2

D) (x-2)/3

33 / 40

33. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) (3-b)/2b

B) b/(3-b)

C) 2b/(3-b)

D) 3b/(2+b)

34 / 40

34. 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) 16

C) 25

D) 49

35 / 40

35. Aniqmas integralni hisoblang.

A) xlnx-x+c

B) ln(lnx)

C) lnx+c

D) ln(lnx)+c

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) 24√3

B) 6√3

C) 12√3

D) 12

37 / 40

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

A) 16

B) 12

C) 14

D) 15

38 / 40

38. 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) 12

C) 10

D) 11

39 / 40

39. Ikki natural sonning kvadratlarining o'rta arifmetigi 34 ga, o'rta geometrigi esa 8 ga teng. Shu sonlarning yig'indisini yarmini toping toping.

A) 9

B) 6

C) 7

D) 14

40 / 40

40. k va l ning qanday qiymatlarida y=k/x giperbola va y=kx+l to’g’ri chiziq M( -1;1) nuqtalardan o’tadi.