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Matematika attestatsiya №13

InfoMaster

Iyul 21, 2022

120 Ko'rishlar 1 izoh

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. Agar ni hisoblang.

A) 0

B) 9

C) 8

D) Cheksiz

2 / 40

2. 1·2·3· ... ·30 ko'paytmani tub ko'paytuvchilarga ajratganda ko'apytmada 2ⁿ, 3^m va 7^k lar ishtirok etsa, n+m+k ni toping.

A) 44

B) 46

C) 50

D) 40

3 / 40

3. Standart shaklda yozing 0,000000000000013

1,3·10^-12
1,3·10^-13
1,3·10^-14
1,3·10^-15

A) 3

B) 2

C) 4

D) 1

4 / 40

4. Agar f(x) funksiya (-∞;∞) da qat’iy o‘suvchi funksiya bo‘lsa, y =3 f(x)-8 funksiya uchun quyidagi mulohazalardan qaysi biri to‘g‘ri bo‘ladi?

A) qat’iy o‘suvchi

B) qat’iy kamayuvchi

C) dastlab o‘sadi, keyin kamayadi

D) dastlab kamayadi, keyin o‘sadi

5 / 40

5. 3x3 o‘lchamli kvadratning tugunlarida 16 ta nuqta belgilanib, ularning o‘ng tomondan eng yuqorisidagi A bilan belgilangan. Bir uchi A nuqtada, qolgan uchlari qolgan 15 ta nuqtada orasidan tanlanadigan uchburchaklarning sonini toping.

A) 105

B) 100

C) 25

D) 96

6 / 40

6. Oktaedr to‘la sirtining yuzi 32√3 cm² bo‘lsa, uning har bir yog‘i yuzini toping.

A) 6√3

B) 8√3

C) 4

D) 4√3

7 / 40

7. Agar bo‘lsa, tgα ni toping.

A) 1

B) 4

C) 3

D) 2

8 / 40

8. Agar a,b>0 sonlari uchun f(a·b) = f(a) + f(b) tengligi, p – tub sonlari uchun esa f(p)=p tengligi
qanoatlantirilsa, u holda f(25/11) ning qiymatini toping.

A) 11

B) 1

C) 21

D) -1

9 / 40

9. ABC uchburchakning har bir tomoni chizmada ko’rsatilgandek o’z uzunligiga bir yarim barobarga teng uzunlikda davom ettirilgan. Agar SABC=12 bo’lsa, SA1B1C1 ni toping.

A) 130

B) 132

C) 147

D) 135

10 / 40

10. Agar bo’lsa, (x+y)²-z² ning qiymatini toping.

A) 1/2

B) 1/6

C) 11/12

D) 23/12

11 / 40

11. Tengsizlikni yeching.

A) (-3;0)

B) (0;3)

C) [-3;3]

D) (-3;3)

12 / 40

12. Hisoblang.

A) 4

B) 0

C) 2

D) 1

13 / 40

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

A) 2

B) 4

C) 3

D) 1

14 / 40

14. sin(2arctg0,75) ni hisoblang

A) 11/15

B) 22/25

C) 24/25

D) 12/15

15 / 40

15. 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

16 / 40

16. funksiyaga teskari funksiyani toping.

A) II

B) IV

C) I

D) III

17 / 40

17. 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; 0

C) -1;-2

D) -1; 2

18 / 40

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

A) 42

B) 36

C) 40

D) 20

19 / 40

19. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x+3)/2

C) (x-3)/3

D) (x-2)/3

20 / 40

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

A) 6

B) 9

C) 14

D) 7

21 / 40

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

A) 12

B) 15

C) 14

D) 16

22 / 40

22. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0,25

C) 0,5

D) 0

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) 25

B) 16

C) 49

D) 36

24 / 40

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

A) 18

B) 12

C) 48

D) 27

25 / 40

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

A) 30

B) 2

C) 5

D) 6

26 / 40

26. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 3b/(2+b)

B) b/(3-b)

C) 2b/(3-b)

D) (3-b)/2b

27 / 40

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

A) IV

B) III

C) I

D) II

28 / 40

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

A) 2x(b+d)

B) 2bdx+2bd

C) 2x+3b+4d

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

29 / 40

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

A) 3

B) 4√2/9

C) 1

D) 2

30 / 40

30. 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

31 / 40

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

A) 4√4/9

B) 2/3

C) 2/9

D) 4√2/9

32 / 40

32. 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;

33 / 40

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

A) -2≤x≤2

B) 0≤x≤2

C) 1≤x≤2

D) -2≤x≤0

34 / 40

34. Aniqmas integralni hisoblang.

A) ln(lnx)+c

B) lnx+c

C) xlnx-x+c

D) ln(lnx)

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) 10

B) 11

C) 12

D) 9

36 / 40

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

A) 2

B) log₂5

C) log₅2

D) 3

37 / 40

37. 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

C) 12√3

D) 6√3

38 / 40

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

A) 6

B) 12

C) 10

D) 5

39 / 40

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