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Matematika attestatsiya №13

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Iyul 21, 2022

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OMAD YOR BO'LSIN!

Matematika fanidan attestatsiya savollari №13

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1 / 40

1. Muntazam oltiburchakning tomoni 2√6 ga teng. Shu ko‘pburchakka tengdosh bo‘lgan teng tomonli uchburchakning tomonini toping.

A) 30

B) 18

C) 12

D) 24

2 / 40

2. Qadam uzunligi deb biricnhi iz tovon oxiridan ikkinchi iz tovon oxirigacha bo'lgan masofaga aytiladi. Erkak kishi yurayotganda uning qadami va qadamlar soni orasidagi bog'lanish quyidagi formula bilan ifodalanadi: (n/P) = 140. Bu yerda n – bir minutdagi qadamlar soni. P – qadam uzunligi (m). Hikmat 1 minutda 70 qadam bossa, formula yordamida uning qadami uzunligini toping.

A) 0,9 m yoki 90 cm

B) 0,7 m yoki 70 cm

C) 0,5 m yoki 50 cm

D) 0,6 m yoki 60 cm

3 / 40

3. Hisoblang 200−199+198−197+⋯+4−3

A) 101

B) 99

C) 98

D) 100

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 kamayadi, keyin o‘sadi

D) dastlab o‘sadi, keyin kamayadi

5 / 40

5. vekorning Oxy tekislikdagi proyeksiyasi bo‘lgan vektorni toping.

A) 4

B) 3

C) 1

D) 2

6 / 40

6. ni hisoblang.

A) 1

B) 4

C) 3

D) 2

7 / 40

7. va ab = 2 bo‘lsa, (a +b)³ ni toping.

A) -27

B) 125

C) 64

D) -64

8 / 40

8. ABCD to‘g‘ri to‘rtburchakda CD tomonining o‘rtasi E nuqta, EA kesmaning o‘rtasi esa F nuqta. AB=4 va bu to‘g‘ri to‘rtburchakning yuzi 8 ga teng bo‘lsa, BF/FA nisbat nechiga teng bo‘ladi?

A) √3

B) √2

C) 1

D) √5

9 / 40

9. Yig‘indisi 6 ga teng, birinchi 5 ta hadining yig‘indisi esa ga teng 93/16 bo‘lgan cheksiz kamayuvchi geometrik progressiyaning uchinchi hadini toping.

A) 3

B) 1,5

C) 0,5

D) 0,75

10 / 40

10. a²·b·c<0, (a·b)>0 va a·c³<0 tengsizliklardan foydalanib a,b,c larning ishoralarini aniqlang:

A) -, -, +

B) -, +, -

C) +, -, +

D) -, -, -

11 / 40

11. Quyidagi murakkab sonlarni hosil qilishda, qaysi birida eng ko‘p tub sonlar qatnashgan?

A) 405

B) 224

C) 3773

D) 945

12 / 40

12. Hisoblang.

A) -2 yoki 0

B) -2 yoki 2

C) 0

D) -2 yoki -1

13 / 40

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

A) 5

B) 1

C) 2

D) -1

14 / 40

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

A) b²/2π

B) b²-2π

C) b²+b²/2π

D) b²-b²/2π

15 / 40

15. Hisoblang: sin10° •sin50° •sin70°

A) 0,5

B) 0

C) 0,25

D) 0,125

16 / 40

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

A) 2

B) 4√2/9

C) 3

D) 1

17 / 40

17. f(2x-1)=4x-5 bo’lsa, f^-1(x)=?

A) (x-7)/2

B) (x-2)/3

C) (x+3)/2

D) (x-3)/3

18 / 40

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

A) -2≤x≤2

B) -2≤x≤0

C) 0≤x≤2

D) 1≤x≤2

19 / 40

19. 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) 6

D) 7

20 / 40

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

A) 3b/(2+b)

B) 2b/(3-b)

C) (3-b)/2b

D) b/(3-b)

21 / 40

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

A) 3

B) log₂5

C) log₅2

D) 2

22 / 40

22. funksiyaga teskari funksiyani toping.

A) I

B) III

C) IV

D) II

23 / 40

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

A) -2

B) 2

C) 1

D) 0

24 / 40

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

A) 5

B) 10

C) 6

D) 12

25 / 40

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

A) 4√2/9

B) 2/9

C) 2/3

D) 4√4/9

26 / 40

26. 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

27 / 40

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

A) 20

B) 36

C) 40

D) 42

28 / 40

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

A) 15

B) 14

C) 12

D) 16

29 / 40

29. 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

30 / 40

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

A) 4 sm;

B) 3 sm;

C) 2 sm;

D) 2 m;

31 / 40

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

A) I

B) IV

C) III

D) II

32 / 40

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

A) 12π

B) 6π

C) 24π

D) 18π

33 / 40

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

A) 3

B) 4

C) 2

D) 1

34 / 40

34. 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) 12

B) 12√3

C) 24√3

D) 6√3

35 / 40

35. 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

36 / 40

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

A) 18

B) 12

C) 27

D) 48

37 / 40

37. sin(2arctg0,75) ni hisoblang

A) 24/25

B) 11/15

C) 22/25

D) 12/15

38 / 40

38. Aniqmas integralni hisoblang.

A) ln(lnx)+c

B) xlnx-x+c

C) lnx+c

D) ln(lnx)

39 / 40

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

A) 2bdx+2bd

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

C) 2x+3b+4d

D) 2x(b+d)

40 / 40

40. 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