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, ning qiymatini toping.

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2. f(x)=3x-2 funksiyaning qiymatlar sohasini 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. Agar x =17 bo‘lsa, quyidagi ifodaning qiymatini toping.

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5. Kvadratga ikkita yarim aylana ichki chizilgan. Bo‘yalgan soha yuzini toping.

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6. ABC uchburchak o‘tkir burchaklarining bissektrisalari D nuqtada kesishadi. Bunda ∠A = 90° , BD = 8 , CD = 6 bo‘lsa, BCD uchburchak yuzini toping.

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

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8. sin²(π/4-x) = 1/8 tenglikdan foydalanib sin2x ni toping.

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9. Hisoblang: 6,34757575…+0,0434343…

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10. 2 ta bola 64 m masofaga yugurish bo’yicha noodatiy ravishda bellashishmoqda. Bellashuv shartiga ko’ra boshlang’ich chiziqdan 3 qadam oldinga yurgandan so’ng, 2 qadam orqaga yurish kerak. 1-bolaning qadami uzunligi 50 sm, 2-bolani qadami uzunligi esa 40 sm, lekin har 3 sekundda: 1-bola 3 marta qadam tashlaydi,  2-si 4 qadam tashlagan bo’lsa, qaysi bola g’alaba qozongan?

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

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12. y=xlnx  funksiyani hosilasini toping.

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

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

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

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

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

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

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

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

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

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24. 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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25. 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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26. Aniqmas integralni hisoblang.   

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

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

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29. 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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30. f(2x-1)=4x-5 bo’lsa, f-1 (x)=?

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

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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. Hisoblang: sin10° •sin50° •sin70°

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

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

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38. funksiyaga teskari funksiyani toping.

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39. 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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40. sin(2arctg0,75) ni hisoblang

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