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. Agar   bo'lsa   ifodaning qiymatini toping.

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2. Muntazam uchburchak ichidan olingan nuqtadan uchburchak tomonlarigacha bo'lgan masofalar mos holda c(2;3;1),  b(1;2;1) va a(1;2;3) vektorlarning absolut qiymatlariga teng bo'lsa, uchburchakning balandligini toping.

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3. DC||AB , ∠DCE=45°,∠CEA=x va ∠EAB=115° ga tengbo`lsa x ni toping ?

 

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4. 108 sonining natural bo‘luvchilari ko‘paytmasi quyidagilardan qaysi biriga teng?

  1. 212·318
  2. 22·33
  3. 28·310
  4. 26·39

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5. Tenglamani yeching:

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6. ABC uchburchakning og‘irilik markazi G nuqta. Agar BG = 1 dm, CG = 6 cm va AG ⊥ CG bo‘lsa, AG ni (cm) toping.

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7. funksiyaning [–2; 2] kesmada eng katta qiymatini toping.

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8. Kubning diagonalidan ushbu diagonal bilan kesishmaydigan qirrasigacha bo‘lgan masofa 4 ga teng. Kubning hajmini toping.

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9. f(f(2)) ni toping.

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10.   Kvadrat rasmdagi kabi 4 ta uchburchakka ajratilgan , 3 ta uchburchakning yuzlari mos ravishda 2, 3, 4 ga teng . Berilgan shakldagi noʼmalum yuzani toping.

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11. Agar tgα = 7 bo‘lsa, ifodaning qiymatini toping.

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12. Tengsizlikni yeching.

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

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

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

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

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18. 2a = 5 va 20b = 125 bo’lsa, a ni b orqali ifodalang.

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

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20. Hisoblang: sin10° •sin50° •sin70°

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

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

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23. 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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24. Aniqmas integralni hisoblang.   

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

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

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

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28. sin(2arctg0,75) ni hisoblang

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

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

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34. funksiyaga teskari funksiyani toping.

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

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

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

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39. f(2x-1)=4x-5 bo’lsa, f-1 (x)=?

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40. 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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