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. Kamayish tartibida joylashtiring.

a)5√6
b)12
c)4√10

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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. Hisoblang:  -121+(-135)-(-1)28

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4. Agar tenglamaning ildizi m/n bo‘lsa, m+ n ni toping. Bunda EKUB(m; n)=1.

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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. ABCD trapetsiyaning AD kichik asosi 6 ga teng. C burchagining CF bissektrisasi AB tomonga perpendikulyar bo‘lib, bunda BF = 3AF = 6 bo‘lsa, katta asos uzunligini toping.

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7.   bo‘lsa, f ''(1) ning qiymatini toping.

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8. ∇ABC da ∠BAC = 30° , AC = f ′(3) va AB = f (3) bo‘lsa, ∇ABC ning yuzini toping. Bunda f(x) = x³ - 5x -4

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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. 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. a ning qanday qiymatida 3a + ax + (-x² )= 0 tenglama o‘zaro teng ildizlarga ega bo‘ladi?

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12. Tenglamani yeching.

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

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14. Integralni hisoblang:

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

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16. Chizmada nechta parallelogramm bor?

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17. bo‘lsa,  ni toping.

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

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19. bo‘lsa, x· y ni toping.

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

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21. tenglamani yeching.

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

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23. tenglama ildizlari yig‘indisini toping.

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24. tengsizlik nechta butun yechimga ega?

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

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26. Tenglamani yeching:

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27.    va bo‘lsa, a ni b orqali ifodalang.

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28. Agar x= y + 4 bo‘lsa,

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29. Agar tgx α =4 bo‘lsa,

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

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31. Hisoblang:

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32. Hisoblang:

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

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34. bo‘lsa, f -1(x) ni toping. Bunda f -1(x)-f(x) ga teskari funksiya.

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

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36. y = xln x funksiya hosilasini toping.

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

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

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

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40. tengsizlikni yeching.

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