求圓C:(x+2)^2+(y-6=1關(guān)于直線3x-4y+5=0對(duì)稱的圓的方程
求圓C:(x+2)^2+(y-6=1關(guān)于直線3x-4y+5=0對(duì)稱的圓的方程
數(shù)學(xué)人氣:641 ℃時(shí)間:2019-10-08 21:47:50
優(yōu)質(zhì)解答
圓關(guān)于直線對(duì)稱 半徑是不變的因此只要算出 圓心關(guān)于直線對(duì)稱的點(diǎn)即可C(-2,6) 設(shè)對(duì)稱點(diǎn)為C'(A,B)則CC'垂直 直線3x-4y+5=0 即斜率相乘等于-1 CC'的中點(diǎn)坐標(biāo)在直線3x-4y+5=0上根據(jù)這兩個(gè)等量關(guān)系 列出方程組便可求...
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