Soal mtk kel. teknologi industri sk 15 kd 5
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Soal mtk kel. teknologi industri sk 15 kd 5

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  • 1. Standar Kompetensi :Menerapkan konsep Irisan kerucut.Kompentensi Dasar : HyperbolaSoal ;1.Tulislah persamaan hyperbola secara umum ,melalui titik F 1(r,0) dan F2 ( -r,0) denganPu ncak P1 (a ,0) dan P2(-a,0) adalah?2.Tentukan persamaan hyperbola yang melalui titik F1( -13 ,0 ) dan F2 ( 13 ,0) dengan puncakP1 (-5 ,0) dan P2 (5,0)3.Tentukan koordinat titik Puncak hyperbola dari persamaan hyperbola : x2/16 – y2/4 = 1adalah ?4.Tentukan persamaan Asimtut hyperbola ,jika persamaan hyperbola X2/25 – Y2/9 = 1 adalah?5.Gambarlah grafik persamaan hyperbola : 9 X2- 4Y2-18 X – 24 Y -26 = 0 ?Jawaban.1.Persamaan hyperbola yang melalui F1 (r ,0 ) dan F2 ( -r,0 ) dengan P(a.0) dan P2 (-a,0) denganSumbu X yaitu :Rumus : (y –n )2/a2–( x-m)2/b2= 1Titik Pusat { r + (-r)/2 + (0 – 0)/2}=0Tittik Puuncak ( ± a)Titik Fokus ( ± r)Jadi b2 = r2 – a2Sumbu utama X maka persamaan hyperbola adalah x2/a2– y2/b2= 12.Diketahui ; F1 hyperbola (13,0)