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Please add some details. 123456789101112131415161718192021222324252627282930 Matematika fanidan test savollari 1-variant Oliy ta'lim uchun test sinovlariga tayyorlanayotgan abiturentlar uchun test savollari Matematika fanidan 30 ta test Bajarish uchun 90 minut Barcha ma'lumotlarni to'g'ri kiriting. \({9^{{x^2} - 1}} + {3^{{x^2}}} - 4 = 0\) tenglamaning butun ildizlari yig‘indisini toping. \(1\) \( - 1\) butun ildizi yo‘q \(0\) Soddalashtiring: \(\frac{{{{\left( {a + 1} \right)}^3} + 1}}{{{a^3} - 1}}\) \(\frac{{a - 2}}{{a + 1}}\) \(\frac{{a + 1}}{{a - 1}}\) \(\frac{{a - 1}}{{a + 1}}\) \(\frac{{a + 2}}{{a - 1}}\) Aniq integralni hisoblang: \(\mathop \smallint \nolimits_0^3 \frac{x}{{\sqrt {1 + {x^2}} }}dx + \mathop \smallint \nolimits_0^3 \frac{1}{3}dx\) \(\sqrt {10} \) \(\sqrt {10} - 1\) \(\sqrt 7 - 1\) \(\sqrt 7 \) Ishlab chiqarish samaradorligi birinchi yili \(15\% \) ga, ikkinchi yili \(16\% \) ga ortdi. Shu ikki yil ichida samaradorlik necha \(\% \) ga ortgan? \(34,3\) \(33,4\) \(34\) \(31\) \(n - \;\)hadi \({a_n}\) bo‘lgan arifmetik progressiya uchun \({a_n} = 2 + {a_{n - 1}}\) tenglik o‘rinli bo‘lib, dastlabki o‘nta hadining yig‘indisi \(115\) ga teng bo‘lsa, arifmetik progressiyaning birinchi hadini toping. \(2\) \(\frac{3}{2}\) \(\frac{5}{2}\) \(3\) \(32;\;\;18\) va \(24\) sonlarining o‘rta geometrigini toping. \(32\) \(18\) \(16\) \(24\) \(f\left( x \right) = f\left( 5 \right) \cdot x - 20\) bo‘lsa, \(f\left( 4 \right)\) ning qiymatini toping. \( - 2\) \(4\) \(0\) \(5\) \(\frac{{{{\left( {2\left| x \right| - 3} \right)}^2} - \left| x \right| - 6}}{{4x + 1}} = 0\) tenglamaning haqiqiy ildizlari yig‘indisini toping. \(0\) \(3\) \(\frac{1}{4}\) \( - \frac{1}{4}\) Quyidagi rasmda tasvirlangan \(ABC\) uchburchakning tomonlarida \(9\) ta nuqta olingan:Uchlari ko‘rsatilgan nuqtalarda bo‘lgan nechta uchburchak bor? \(75\) \(76\) \(84\) \(72\) \(\;\left( {x - 5} \right) \cdot \left( {\frac{1}{5}x + 4} \right) = 0\) bo‘lsa, \(\frac{1}{5}x + 4\) qanday qiymatlar qabul qiladi? faqat \(5\) \(0\) yoki \(8\) \(0\) yoki \(5\) faqat \(0\) Quyidagi rasmda qirrasining uzunligi \(6\;{\rm{sm}}\) bo‘lgan muntazam tetraedr tasvirlangan:Agar \(BD = FE = 4\;{\rm{sm}};{\rm{\;\;}}DC = AF = 2\;{\rm{sm}}\) va \(O\) nuqta \(AC\) qirrada ekanligi ma’lum bo‘lsa, \(DO + OF\) yig‘indining eng kichik qiymatini \(\left( {{\rm{sm}}} \right)\) toping. \(2\sqrt 7 \) \(\sqrt 7 \) \(6\) \(12\) \(\cos 3x - \sqrt 3 \sin 3x < 0\) tengsizlikni yeching. \(\left( { - \frac{\pi }{9} + \frac{{2\pi k}}{3};\;\frac{{2\pi }}{9} + \frac{{2\pi k}}{3}} \right),\;\;k \in Z\) \(\left( {\frac{\pi }{{18}} + \frac{{2\pi k}}{3};\;\frac{{7\pi }}{{18}} + \frac{{2\pi k}}{3}} \right),\;\;k \in Z\) \(\left( { - \frac{{4\pi }}{9} + \frac{{2\pi k}}{3};\; - \frac{\pi }{9} + \frac{{2\pi k}}{3}} \right),\;\;k \in Z\) \(\left( { - \frac{{5\pi }}{{18}} + \frac{{2\pi k}}{3};\;\frac{\pi }{{18}} + \frac{{2\pi k}}{3}} \right),\;\;k \in Z\) \({\left( {{4^{\frac{{{{\log }_4}7}}{{{{\log }_7}4}}}} - {7^{{{\log }_4}7}} + {3^{{{\log }_9}16}}} \right)^{\frac{1}{2}}}\) ni hisoblang. \(0\) \(4\) \(7\) \(2\) Quyidagi rasmda ko‘rsatilgan krandan konus ichiga doimiy bir xil suv oqib tushadi. Agar kran konusni bo‘yalgan qismini \(4\) minutda to‘ldirsa, butun konusni necha minutda to‘ldiradi? \(126\) \(108\) \(118\) \(104\) \(\frac{{1 + 3 + 5 + \ldots + 43}}{{2 + 4 + 6 + \ldots + 42}}\) ni hisoblang. \(\frac{{22}}{{21}}\) \(\frac{{43}}{{42}}\) \(\frac{{22}}{{17}}\) \(\frac{{41}}{{43}}\) Muntazam oltiburchakka tashqi chizilgan aylananing radiusi \(4\sqrt 3 \) \({\rm{sm}}\;\)ga teng bo‘lsa, uning kichik diagonalini \(\left( {{\rm{sm}}} \right)\) toping. \(3\sqrt 6 \) \(6\) \(6\sqrt 6 \) \(12\) \(n + 7\) soni juft son bo‘lsa, quyidagilardan qaysi biri toq son bo‘ladi? \({n^2} + n\) \({2^n} - {n^2}\) \(3n + 5\) \(2n - 8\) Quyidagi chizmada berilgan ma’lumotlardan foydalanib, \(x\;\)ni toping. \(6\sqrt 5 \) \(12\) \(16\) \(8\sqrt 5 \) \(4{x^2} + \frac{1}{{{x^2} - 4}} = 16 - \frac{1}{{4 - {x^2}}}\) tenglamani yeching. \(0\) \(2\) \(\emptyset \) \( - 2\) \(P\left( x \right) = {\left( {x - 1} \right)^a} \cdot {\left( {x + 2} \right)^b}\) va \(P\left( 2 \right) \cdot P\left( 1 \right) = 64\) bo‘lsa, \(a + b\) ning qiymatini toping. \(3\) aniqlab bo‘lmaydi \(0\) \(6\) Quyidagi rasmda \(y = f\left( x \right)\) funksiya grafigi tasvirlangan: Rasmda berilgan ma’lumotlardan foydalanib, \(\left( {x - 3} \right) \cdot f\left( x \right) > 0\) tengsizlikni qanoatlantiradigan butun sonlar yig‘indisini toping. \( - 3\) \( - 4\) \(0\) \( - 1\) \(\;\left( {e - \pi } \right)x \ge 7\left( {\pi - e} \right)\) tengsizlikni yeching. \(x \ge 7\) \(x \le - 7\) \(x \ge - 7\) \(x \le 7\) Teng yonli \(ABCD\) trapetsiyaning ichida \(P\) nuqta shunday olinganki, \(PA = 2;\;\;PB = 3;\;\;PC = 4\) va \(PD = 5\) ga teng. Agar \(AD\) katta asos bo’lsa, \(\frac{{BC}}{{AD}}\) ning qiymatini toping. \(\frac{1}{3}\) \(\frac{1}{4}\) \(\frac{1}{5}\) \(\frac{1}{2}\) \({\left( {2{x^2} - \frac{1}{{{x^2}}}} \right)^7} = \ldots + p \cdot {x^6} + \ldots \) bo‘lsa, \(p\) ning qiymatini toping. \(720\) \(480\) \(672\) \(560\) \(f\left( {\frac{{3x - 1}}{{x + 2}}} \right) = \frac{{x + 1}}{{x - 1}}\) bo‘lsa, \(f\left( x \right)\) ni toping. \(\frac{{x + 4}}{{3x - 2}}\) \(\frac{{3x - 1}}{{x + 2}}\) \(\frac{{2x + 1}}{{3 - x}}\) \(\frac{{x + 1}}{{x - 1}}\) Sardor \(420\) \({\rm{m}}\) masofani \(7\) \({\rm{daqiqa}}\)da bosib o‘tadi. Sardorning tezligini \(\left( {{\rm{m}}/{\rm{min}}} \right)\) toping. \(60\) \(400\) \(1020\) \(490\) \(f\left( x \right) = y\) va \({x^2} - 2x = {e^{x - y}}\) bo‘lsa, \(f'\left( 4 \right)\) ning qiymatini toping. \(1\) \(\frac{1}{4}\) \(\frac{1}{2}\) \(\frac{1}{8}\) \(f\left( x \right) = \left| {\left| {x - 2} \right| - 2} \right|\) funksiya grafigini chizing. \(\;\frac{{10!}}{{7!}} \cdot \left( {\frac{{8!}}{{10!}} + \frac{{3!}}{{5!}}} \right)\) ni hisoblang. \(28\) \(36\) \(44\) \(52\) \({\left( {\sqrt {6 + \sqrt {35} } } \right)^x} + {\left( {\sqrt {6 - \sqrt {35} } } \right)^x} = 12\) tenglamaning butun ildizlari ko‘paytmasini toping. \( - 2\) \( - 2\) \(4\) \( - 4\) Facebook Twitter VKontakte 0% Перезапустить тест