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. Hisoblash natijasida hosil bo’lgan sondan 4 marta katta sonning natural bo’luvchilari soni a bo’lsa , a ning butun bo’luvchilari sonini toping.

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2. Umumiy hadi xn=3+5n-n2 formula bo'yicha berilgan sonli ketma-ketlikning eng katta hadi 15 dan qanchaga kam?

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3. AM||KL , ∠BCD=70°,∠CDE=40°, ∠DEF =45°,∠EFG=80°, ∠FGK=70°∠MBC=x ga teng bo`lsa x ni toping ?

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4. Tenglamani yeching:

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5. Barcha ikki xonali sonlar ko‘paytmasi 4 ning qanday eng katta darajasiga bo‘linadi?

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6. raqamlari turlicha bo‘lgan uch xonali juft sonlar. x+ y ning eng kichik qiymatini toping.

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7. α burchakni toping.

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8. Agar Sn arifmetik progressiyaning birinchi n ta hadining yig‘indisi bo‘lsa, Sn+3 − 3Sn+2 + 3Sn+1 − Sn ni hisoblang.

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9. Bir nechta natural sonlardan tuzilgan S to‘plam berilgan. Bu sonlarning o‘rta
arifmetigi eng kattasini hisobga olmaganda 32 ga, eng kichigini hisobga olmaganda 40 ga, eng kattasini ham eng kichigini ham hisobga olmaganda esa 35 ga teng. Agar eng katta son eng kichigidan 72 ga ortiq bo‘lsa, u holda S to‘plamdagi barcha sonlarning o‘rta arifmetigini toping.

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10. Hisoblang.

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11. Chizmada ABC to‘g‘ri burchakli uchburchak tasvirlangan. Bunga ko‘ra x ni toping.

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12. Uchburchak tamonlari 10, 24 va 26 ga teng bo'lsa, katta burchagi necha gradus?

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

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

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16. 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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17. 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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18. Agar ln(ab)=2x ba ln(a/b)=2y bo'lsa, a=?

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19. funksiyaga teskari funksiyani toping.

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

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

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

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

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

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

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

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

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

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32. sin(2arctg0,75) ni hisoblang

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33. Aniqmas integralni hisoblang.   

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

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36. f(2x-1)=4x-5 bo’lsa, f-1 (x)=?

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

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38. 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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39. Hisoblang: sin10° •sin50° •sin70°

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

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