圆的一般式的圆心和半径怎么求
圆的一般方程是x²+y²+Dx+Ey+F=0(D²+E²-4F>0)其中圆心坐标是（-D/2,-E/2）
半径 【根号（D²+E²-4F）】/2
绛旓細鍦嗙殑涓鑸鏂圭▼涓簒2+y2+Dx+Ey+F=0銆傦紙D2+E2-4F>0锛夛紝鎴栧彲浠ヨ〃绀轰负锛圶+D/2锛2+锛圷+E/2锛2=锛圖2+E2-4F锛/4銆傛爣鍑嗘柟绋嬶紙x-a锛2+锛坹-b锛2=r2銆傚湪骞抽潰鐩磋鍧愭爣绯讳腑锛岃鏈夊渾0锛鍦嗗績0锛坅锛宐锛夌偣P锛坸锛寉锛夋槸鍦嗕笂浠绘剰涓鐐瑰洜涓哄渾鏄墍鏈夊埌鍦嗗績鐨勮窛绂荤瓑浜鍗婂緞鐨勭偣鐨勯泦鍚堛傛墍浠モ垰[锛坸...
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绛旓細鍦嗙殑涓鑸鏂圭▼锛屾槸鏁板棰嗗煙鐨勭煡璇嗐傚渾鐨勪竴鑸柟绋嬩负x2 y2 Dx Ey F=0(D2 E2-4F>0)锛屾垨鍙互琛ㄧず涓(X D/2)2 (Y E/2)2=(D2 E2-4F)/4銆傛爣鍑嗘柟绋嬶細鍦嗗崐寰鐨勯暱搴﹀畾鍑哄渾鍛ㄧ殑澶у皬锛鍦嗗績鐨勪綅缃‘瀹氬渾鍦ㄥ钩闈笂鐨勪綅缃傚鏋滃凡鐭ワ細(1)鍦嗗崐寰勯暱R锛(2)涓績A鐨勫潗鏍(a,b)锛屽垯鍦嗙殑'澶у皬鍙婂叾鍦...
绛旓細鍦嗙殑涓鑸鏂圭▼鍗婂緞涓猴細r=鈭氾紙D²+E²-4F锛夛紡2銆傚渾鐨勪竴鑸柟绋嬫槸x²+y²+Dx+Ey+F=0(D²+E²-4F>0)锛屽叾涓鍦嗗績鍧愭爣鏄紙-D/2锛-E/2锛夈傚渾鐨勪竴鑸柟绋嬶紝鏄暟瀛﹂鍩熺殑鐭ヨ瘑銆傚渾鐨勪竴鑸柟绋嬩负x²+y²+Dx+Ey+F=0 (D²+E²-4F>0)锛...
绛旓細鍦嗙殑涓鑸紡鐨勫渾蹇冨拰鍗婂緞鐢ㄩ厤鏂规硶姹傘傚鍥撅細
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绛旓細鍦嗙殑鍗婂緞鍏紡锛歳=1/2鈭氾紙D²+E²-4F锛夈鍦嗙殑涓鑸鏂圭▼鏄細x²+y²+Dx+Ey+F=0(D²+E²-4F>0)锛屽叾涓鍦嗗績鍧愭爣鏄紙-D/2锛-E/2锛夈傛墖褰㈠姬闀縇=鍦嗗績瑙掞紙寮у害鍒讹級脳R= n蟺R/180锛埼镐负鍦嗗績瑙掞級锛圧涓烘墖褰㈠崐寰勶級鎵囧舰闈㈢НS=n蟺 R²/360=LR/2锛圠涓...
绛旓細鍦嗙殑鏍囧噯寮忕煡閬鍦嗗績鍧愭爣鐨勬儏鍐典笅锛屽渾鐨勬爣鍑嗗紡鍦ㄧ煡閬撳渾蹇冪殑鎯呭喌涓鍗婂緞鎬庝箞姹锛鍦嗙殑涓鑸鏂圭▼鏄痻2+y2+Dx+Ey+F=0(D2+E2-4F>0)鍏朵腑鍦嗗績鍧愭爣鏄紙-D/2,-E/2锛夊崐寰勭殑瑙ｇ瓟鍏紡涓恒愭牴鍙凤紙D2+E2-4F锛夈/2
绛旓細鍦嗙殑涓鑸鏂圭▼锛歺²锛媦²锛婦x锛婨y锛婩=0(D²锛婨²锛4F>0)涓紝鍦嗗績鏄(锛岲/2锛岋紞E/2)锛鍗婂緞鏄疪=(1/2)鈭(D²锛婨²锛4F)
绛旓細鍦嗙殑鍗婂緞鍏紡锛歳=1/2鈭氾紙D²+E²-4F锛夈鍦嗙殑涓鑸鏂圭▼鏄細x²+y²+Dx+Ey+F=0(D²+E²-4F>0)锛屽叾涓鍦嗗績鍧愭爣鏄紙-D/2锛-E/2锛夈傛墖褰㈠姬闀縇=鍦嗗績瑙掞紙寮у害鍒讹級脳R= n蟺R/180锛埼镐负鍦嗗績瑙掞級锛圧涓烘墖褰㈠崐寰勶級鎵囧舰闈㈢НS=n蟺 R²/360=LR/2锛圠涓...
