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. bo‘lsa, x + y ni toping.

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2. f(x-1)+f(x+2)=2(x²+7) ekani ma‟lum bo'lsa, f(x) ko'phadni toping.

 

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3. Hisoblang:

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4. Agar x2-6x+7=0 bo‘lsa,    ni toping.

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5. sonlari geometrik progressiyaning ketma-ket hadlari bo‘ladigan barcha n larning yig‘indisini (agar bitta qiymati bo‘lsa, o‘zini) toping.

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6.

va
EKUB( x, y, z)= 6 bo‘lsa,
EKUK)x, y, z)= ?

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7. Tenglamaning haqiqiy ildizlari yig‘indisini (agar ildizi bitta bo‘lsa, o‘zini) toping.

8 / 40

8. Agar x+1/x=1 bo'lsa,   ning qiymatini toping.

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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. Ushbu  tenglik   da ham to‘g‘rimi?

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11. x²-20, x+1 va -x-6 manfiy sonlar arifmetik progressiyaning ketma-ket hadlari bo‘lsa, x ni toping.

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12. f(x)+(x-2)·g(x)=x²+5, f(3)=10 bo'lsa, g-1=(4) ni toping. Bunda g-1(x)   g(x) ga teskari funksiya.

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

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

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15. 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.

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16. Aniqmas integralni hisoblang.   

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17. 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= ?

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

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19. sin(2arctg0,75) ni hisoblang

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

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21. f(2x-1)=4x-5 bo’lsa, f-1 (x)=?

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

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

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

26 / 40

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

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

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28. 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?

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29. 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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30. Quydagi shaklning to’la sirtini ifadolovchi formulani tuzing?

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

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33. Hisoblang: sin10° •sin50° •sin70°

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

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35. 2a = 5 va 20b = 125 bo’lsa, a ni b orqali ifodalang.

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

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37. 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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38. funksiyaga teskari funksiyani toping.

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

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

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