Matematika attestatsiya №13

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OMAD YOR BO'LSIN!


Matematika fanidan attestatsiya savollari №13

DIQQAT! Endi siz o'z bilmingizni sinab ko'rish bilan birga  sertifikatga ham ega bo'lishingiz mumkin.

Sertifikat olish uchun barcha ma'lumotlarni to'g'ri kiriting! 

Testda 76% va undan yuqori natija oling va sertifikatni yuklab oling.

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1. x,y,z∈N  A=6x+1=5y+1=4z+1,  min(A)=?

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2. Usta ishning 0,75 qismini 17/4 soatda bajaradi. Shu ishning 4/5 qismini qancha vaqtda bajaradi?

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3. Tengsizlikni qanoatlantiradigan eng kichik ikkita butunsonning yig`indisini toping?

4 / 40

4. f(3x)=x+f(3x-3)  va f(3)=1 bo'lsa, f(300)  nechaga teng?

5 / 40

5. Hisoblang:

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6.  ni hisoblang.

 

7 / 40

7. ushbu kasrning maxrajini irratsionalikdan qutqaring.

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8. Arifmetik progressiyada a3+a6+a9+....+a3n=80 bo‘lsa,  a2n-3+an+6=16 bo‘lsa, n ning qiymatini toping.

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.

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10. Berilgan tengsizlik  uchun  quyidagi oraliqlar to‘g‘ri ifodalanganmi?

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11. Tengsizlikni yeching.

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12. Arimetik progerssiyada s12=354,  P=a1+a2+...+a11 ,   Q=a2+a4+...+a12  va P/Q=32/27  ga teng bo'lsa, d ni toping.

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

14 / 40

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

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15. Hisoblang: sin10° •sin50° •sin70°

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16. f(2x-1)=4x-5 bo’lsa, f-1 (x)=?

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

18 / 40

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

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19. 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= ?

20 / 40

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

21 / 40

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

22 / 40

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

23 / 40

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

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24. 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.

25 / 40

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

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

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27. 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?

28 / 40

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

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

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

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

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

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33. funksiyaga teskari funksiyani toping.

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34. sin(2arctg0,75) ni hisoblang

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

36 / 40

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

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

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

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39. 2a = 5 va 20b = 125 bo’lsa, a ni b orqali ifodalang.

40 / 40

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

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