Matematika abituriyent testi №1

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Matematika abituriyentlar uchun №1

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Ushbu  funksiyaning boshlang’ich funksiyasini toping.

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To’g’ri to’rtburchakning perimetri 50 ga teng. Bir tomoni boshqa tomonidan 5 ga ko’p. To’g’ri to’rtburchakning yuzini toping.

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Ifodani soddalashtiring.

2 cos55o.cos40o.sin55o+cos110o.sin40o

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ABCD to’gri to’rtburchak ichidan olingan O nuqtadan A, B, C, D uchlarigacha bo’lgan masofalar mos ravishda 1; 2; 1,5; 1,2 ga teng bo’ladigan barcha to’g’ri to’rtburchaklar sonini toping

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Rombning balandligi 8 ga dioganallarining ko’paytmasi 80 ga teng. Rombning perimetrini toping

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sin2x-cos2x=1 tenglama [-π; 2π] oraliqda nechta ildizga ega?

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Quyidagi va  to’g’ri chiziqlarning o’zaro holatini aniqlang.

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Tengsizlikni yeching.

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Tenglamani yeching.

|x2-11x+10|=x2-11x+10

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a ning 7x-a-13=(a-5)(x+7) tenglama yechimga ega bo’lmaydigan qiymatining natural bo’luvchilar sonini toping.

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Ostki asosining yuzi 32π va ustki asosining yuzi 18π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda sharning sirtini toping.

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Agar sinx+cosx=a   bo’lsa, ning qiymatini toping.

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Agar f(x)=4x3-6x2-2x+3x .log3e bo’lsa, u holda  ni toping.

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x2-5|x|-6=0 tenglama ildizini toping

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Quyidagi 2x-y+3z=2018  va  x+5y+z=2019 tekisliklarning holatini aniqlang.

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Soat 3:37 bo’lganda minut va soat millari orasidagi burchakni toping.

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Hisoblang

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sistemadan x+y ning qiymatini toping.

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Agar funksiya berilgan bo’lsa, u holda M=ning qiymatini toping.

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Ikki burchagi graduslari yig’indisi uchinchi burchagi gradusidan katta bo’lgan uchburchaklar sonini toping.

 

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Agar arctga+ arctgb + arctgc=  bo’lsa, a+b+c ni toping.

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Quyidagilardan qaysi biri barcha  lar uchun ma’noga ega (aniqlangan)?

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Agar x,y sonlar (x+5)2+(y-12)2=142 tenglikni qanoatlantirsa, x2+y2  ifodaning eng kichik qiymatini toping.

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Tomoni 25  ga diagonallaridan biri 4 ga teng bo’lgan rombning yuzini toping.

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Ostki asosining yuzi 20π va ustki asosining yuzi 10π ga teng bo‘lgan kesik konus berilgan. Agar kesik konusga shar ichki chizilgan bo‘lsa, u holda kesik konus hajmining shar hajmiga nisbatini toping.

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Tomoni 6 ga teng bo`lgan teng tomonli uchburchakga tashqi chizilgan doiraning yuzini toping.

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sonning oxirgi raqamini toping.

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Agar f(x)=ax3-5x2+b va bo’lsa, a ni toping.

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O’qishni bilmaydigan bola alifbening A,A,A, N,N, S- 6 ta harflarini ixtiyoriy ravishda terib chiqadi. Bunda ANANAS so’zining hosil bo’lish ehtimolini toping.

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Yuzasi 10 ga teng bo’lgan kvadratning ketma-ket ikki uchidan o’tuvchi aylana chizilgan. Uchinchi uchidan aylanaga urunma o’tkazilgan. Urunma tomondan ikki marta katta bo’lsa, aylana radiusini toping.

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