Matematika attestatsiya №14

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OMAD YOR BO'LSIN!


Matematika fanidan attestatsiya savollari №14

17.10.2022 Toshkent savollari!

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1. Agar f(g(x))=x^2-5x+6  va g(x)=x-2  bo'lsa  f(4)  ning qiymatini toping.

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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. Chizmaga ko`ra x ning eng kichik butun qiymatinitoping ?

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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. ABC o‘tkir burchakli uchburchakning BC asosiga AD balandlik, AC yon tomoniga BE balandlik o‘tkazilgan. Bunda CE =2AE = 8, DC = 6 bo‘lsa, BD ni toping.

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6. ABCD rombda diagonallar BD =18, AC =12 ga teng bo‘lib, ular O nuqtada kesishadi. AB tomonni teng ikkiga bo‘luvchi CE kesma BD diagonalni F nuqtada kesib o‘tadi. AEFO to‘rtburchak yuzini toping.

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7. x tomon uzunligini toping.

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8. Agar n = 2018 bo‘lsa,  ifodaning qiymatini toping.

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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. Berilgan chizmadan foydalanib  α + β ning qiymatini toping:

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11. (a, b∈ N) va 3a – 4b = 5 bo‘lsa, 3a+4b ning eng kichik qiymatini toping.

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12. |x²-2x|≤x yengsizlikni yeching.

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13. 2a = 5 va 20b = 125 bo’lsa, a ni b orqali ifodalang.

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14. Agar  va ular orasidagi burchak 120o bo‘lsa, ni toping.

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15. Hisoblang:

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16. Agar f (x)-3x-2 bo‘lsa, f(a+b+c)-f(abc)=? Bunda a, b, c – kvadrat funksiya koeffitsiyentlari.

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17. englamaning [0;π ] kesmadagi ildizlari soni 3 tadan ko‘pmi?

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18. Integralni hisoblang:

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19. Hisoblang:  cos² 10°+ cos² 30°+ cos² 80°

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20. Agar tgx α =4 bo‘lsa,

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21. tengsizlikni yeching.

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22. bo‘lsa,  ni toping.

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23. y=x²+1-|sinx| funksiya grafigi Ox o‘qidan pastda yotadimi?

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24. y = xln x funksiya hosilasini toping.

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25. Hisoblang:

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26. tenglama ildizlari yig‘indisini toping.

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27. Agar x= y + 4 bo‘lsa,

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28. tenglamani yeching.

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29. Chizmada nechta parallelogramm bor?

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30. Hisoblang:

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31. ABCD parallelogramm va SKBCE =18 bo‘lsa, SABCD = ?

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32. Ayirmasi d ga teng bo‘lgan arifmetik progressiya uchun ni toping.

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33. bo‘lsa, x· y ni toping.

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34. Tengsizlikni yeching: 3·9x -10·21x + 7 ·49x ≤0

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35. tengsizlik nechta butun yechimga ega?

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36. |x²-2x|≤xtengsizlikning butun yechimlari yig‘indisini toping.

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37. Chizmada nechta uchburchak tasvirlangan?

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38. Agar bo‘lsa, f(1)+f(-1)  ni toping.

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39. Tenglamani yeching:

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40. Agar cos4x = acos4 x + bcos² x +1 bo‘lsa, a+b = ?

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