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Matematika attestatsiya №13

InfoMaster

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. Agar ni hisoblang.

A) 0

B) Cheksiz

C) 8

D) 9

2 / 40

2. Tengsizlikni yeching.

A) (-∞;-2]

B) [-3;2]∪{1}

C) [-2;1]∪{-3}

D) [-3;-2]

3 / 40

3. x ni toping ?

A) 3

B) 4

C) 5

D) 6

4 / 40

4. a,b,c -1 dan katta musbat sonlar uchun a³=b² va a⁴=c⁵ bo'lsa, log_bc ni toping.

A) 5/6

B) 1/2

C) 8/15

D) 1/3

5 / 40

5. Asoslari 5 va 5√7 ga teng bo‘lgan trapetsiyaning yuzini teng ikkiga bo‘luvchi kesma asoslarga parallel. Shu kesma uzunligini toping.

A) 10

B) 8

C) 6√7

D) 4√7

6 / 40

6. bo‘lsa, a, b, c larning ishoralarini aniqlang.

A) -,-,+

B) +,+,+

C) -,+,-

D) +,-,+

7 / 40

7. ABCD qavariq to‘rtburchakka aylana ichki chizilgan. AB = 8 va BC = 12 bo‘lsa, CD – AD ayirmani toping?

A) 2

B) 4

C) aniqlab bo’lmaydi

D) 3

8 / 40

8. Agar bo‘lsa, √200 ni x orqali ifodalang.

A) 4(x+1)

B) 4(x²-)

C) 2(1-x²)

D) 2(x²-1)

9 / 40

9. O‘tgan yili yozda shahar ko‘lidagi barcha qushlarning 30% i g‘ozlar, 25% i oqqushlar, 10% i tus tovuqlar va 35% i o‘rdaklar edi. Ular qishda uchib ketishdi va kelasi yil yozda oqqushlardan boshqa barchasi yana qaytib kelishdi. Endi g‘ozlar ko‘ldagi qushlarning necha foizini tashkil etadi?

A) 40

B) 50

C) 20

D) 30

10 / 40

10. Hisoblang.

A) √2-1

B) 1-√2

C) √2+√3

D) √2+1

11 / 40

11. Quyidagi keltirilgan ko‘paytirish amalida qatnashgan harflar turli qiymatlarga ega bo‘lsa, A+ B+C = ?

A) 12

B) 13

C) 11

D) 10

12 / 40

12. f(x) = x²-3x-2 bo'lsa. f(a+b+c)-f(abc)=? Bunda a, b, c - kvadrat funksiya koeffitsiyentlari.

A) 40

B) 42

C) 36

D) 38

13 / 40

13. Aniqmas integralni hisoblang.

A) ln(lnx)

B) ln(lnx)+c

C) lnx+c

D) xlnx-x+c

14 / 40

14. 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) 14

C) 7

D) 6

15 / 40

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

A) 48

B) 12

C) 27

D) 18

16 / 40

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

A) 2

B) 1

C) 4√2/9

D) 3

17 / 40

17. funksiyaga teskari funksiyani toping.

A) IV

B) I

C) II

D) III

18 / 40

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

A) 18π

B) 6π

C) 24π

D) 12π

19 / 40

19. 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

20 / 40

20. sin(2arctg0,75) ni hisoblang

A) 22/25

B) 11/15

C) 24/25

D) 12/15

21 / 40

21. 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) 2π²

D) 3π²/4

22 / 40

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

A) b²-b²/2π

B) b²+b²/2π

C) b²/2π

D) b²-2π

23 / 40

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

A) 2x+3b+4d

B) 2x(b+d)

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

D) 2bdx+2bd

24 / 40

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

A) 1

B) 2

C) 5

D) -1

25 / 40

25. Hisoblang: sin10° •sin50° •sin70°

A) 0,125

B) 0,5

C) 0,25

D) 0

26 / 40

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

A) 4√4/9

B) 2/3

C) 4√2/9

D) 2/9

27 / 40

27. 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) 49

C) 36

D) 25

28 / 40

28. 2^a = 5 va 20^b = 125 bo’lsa, a ni b orqali ifodalang.

A) 2b/(3-b)

B) b/(3-b)

C) 3b/(2+b)

D) (3-b)/2b

29 / 40

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

A) III

B) IV

C) I

D) II

30 / 40

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

A) 3 sm;

B) 2 m;

C) 4 sm;

D) 2 sm;

31 / 40

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

A) 20

B) 42

C) 36

D) 40

32 / 40

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

A) 1≤x≤2

B) -2≤x≤0

C) -2≤x≤2

D) 0≤x≤2

33 / 40

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

A) log₂5

B) 3

C) 2

D) log₅2

34 / 40

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

A) -2

B) 2

C) 0

D) 1

35 / 40

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

A) 12

B) 16

C) 15

D) 14

36 / 40

36. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x+3)/2

B) (x-2)/3

C) (x-3)/3

D) (x-7)/2

37 / 40

37. 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) 6

D) 30

38 / 40

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

A) 2

B) 1

C) 3

D) 4

39 / 40

39. 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

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) 6√3

B) 12

C) 12√3

D) 24√3