圆的所有公式 有关圆的所有公式。
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1\u3001\u9762\u79ef\uff1aS=\u03c0r²
2\u3001\u534a\u5706\u9762\u79ef\uff1aS=\u03c0r²/2
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\u53c2\u8003\u94fe\u63a5\uff1a\u5706_\u767e\u5ea6\u767e\u79d1
面积：S=πr²
半圆周长：C=πr+2r
半圆面积：S=πr²/2
圆的标准方程：在平面直角坐标系中,以点O（a,b）为圆心,以r为半径的圆的标准方程是（x-a）^2+（y-b）^2=r^2.
圆的一般方程：把圆的标准方程展开,移项,合并同类项后,可得圆的一般方程是x^2+y^2+Dx+Ey+F=0.和标准方程对比,其实D=-2a,E=-2b,F=a^2+b^2.
圆和点的位置关系：以点P与圆O的为例（设P是一点,则PO是点到圆心的距离）,P在⊙O外,PO＞r；P在⊙O上,PO＝r；P在⊙O内,PO＜r.
绛旓細鍛ㄩ暱锛欳=2蟺r 锛坮鍗婂緞锛夐潰绉細S=蟺r²鍗婂渾鍛ㄩ暱锛欳=蟺r+2r 鍗婂渾闈㈢Н锛歋=蟺r²/2
绛旓細鍏充簬鍦嗙殑鍏紡锛氬懆闀:C=2蟺r (r鍗婂緞)闈㈢Н:S=蟺r²鍗婂渾鍛ㄩ暱:C=蟺r+2r 鍗婂渾闈㈢Н:S=蟺r²/2 鍦嗙殑鏍囧噯鏂圭▼:鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓紝浠ョ偣O(a锛宐)涓哄渾蹇冿紝浠涓哄崐寰勭殑鍦嗙殑鏍囧噯鏂圭▼鏄(x-a)^2+(y-b)^2=r^2銆傚渾鐨勪竴鑸柟绋:鎶婂渾鐨勬爣鍑嗘柟绋嬪睍寮锛岀Щ椤癸紝鍚堝苟鍚岀被椤瑰悗锛屽彲寰楀渾鐨勪竴鑸...
绛旓細鐩村緞=鍗婂緞脳2 鍏紡涓篸=2r锛屽崐寰=鐩村緞梅2 鍏紡涓簉= d梅2锛鍦嗙殑鍛ㄩ暱=鍦嗗懆鐜嚸楃洿寰 鍏紡涓篶=蟺d =2蟺r锛屽渾鐨勯潰绉=鍗婂緞脳鍗婂緞脳蟺 鍏紡涓篠=蟺rr銆傚湪涓涓钩闈㈠唴锛屼竴鍔ㄧ偣浠ヤ竴瀹氱偣涓轰腑蹇冿紝浠ヤ竴瀹氶暱搴︿负璺濈鏃嬭浆涓鍛ㄦ墍褰㈡垚鐨勫皝闂洸绾垮彨鍋氬渾銆傚渾鏈夋棤鏁版潯瀵圭О杞淬傚湪鍚屼竴骞抽潰鍐咃紝鍒板畾鐐圭殑璺濈绛変簬...
绛旓細涓庡渾褰㈡湁鍏崇殑鍏紡鏈夊叚澶х被锛屽涓嬶細涓銆佸懆闀垮叕寮 1銆鍦嗙殑鍛ㄩ暱 锛欳=2蟺r 锛坮锛氬崐寰勶級2銆佸崐鍦嗗懆闀匡細C=蟺r+2r 浜屻佸渾鐨勯潰绉 1銆侀潰绉細S=蟺r²2銆佸崐鍦嗛潰绉細S=蟺r²/2 涓夈佸姬闀胯搴﹀叕寮 1銆佹墖褰㈠姬闀匡細L=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2銆佹墖褰...
绛旓細鍏勾绾у渾蹇呰儗鐨鍏紡鏈夛細鐩村緞锛濆崐寰劽2鍏紡锛歞=2r銆傚崐寰勶紳鐩村緞梅2鍏紡锛歳= d梅2銆鍦嗙殑鍛ㄩ暱锛濆渾鍛ㄧ巼脳鐩村緞鍏紡锛歝=蟺d =2蟺r銆傚渾鐨勯潰绉紳鍗婂緞脳鍗婂緞脳蟺鍏紡锛歋=蟺rr銆傚叾涓璬涓虹洿寰勶紝r涓哄崐寰勶紝c涓哄懆闀匡紝S涓洪潰绉傜浉鍏崇煡璇嗙偣锛氬湪鍚屼竴涓渾閲岋紝鍗婂緞鎵╁ぇ鎴栫缉灏忓灏戝嶏紝鐩村緞鍜屽懆闀夸篃鎵╁ぇ鎴栫缉灏...
绛旓細鍛ㄩ暱:C=2蟺r(r鍗婂緞)闈㈢Н:S=蟺r²鍗婂渾鍛ㄩ暱:C=蟺r+2r 鍗婂渾闈㈢Н:S=蟺r²/2 鍦嗙殑鏍囧噯鏂圭▼:鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓紝浠ョ偣O(a锛宐)涓哄渾蹇冿紝浠涓哄崐寰勭殑鍦嗙殑鏍囧噯鏂圭▼鏄(x-a)^2+(y-b)^2=r^2銆傚渾鐨勪竴鑸柟绋:鎶婂渾鐨勬爣鍑嗘柟绋嬪睍寮锛岀Щ椤癸紝鍚堝苟鍚岀被椤瑰悗锛屽彲寰楀渾鐨勪竴鑸柟绋嬫槸x^2+y^2...
绛旓細涓銆鍦嗙殑鍛ㄩ暱鍏紡锛1銆佸渾鐨勫懆闀匡紳2脳鍗婂緞脳鍦嗗懆鐜囷紳鐩村緞脳鍦嗗懆鐜 2銆佸渾鐨勫懆闀匡紳2蟺r 3銆佷妇渚 锛1锛夊渾鐨勭洿寰=6鍘樼背 閭ｄ箞鍦嗙殑鍛ㄩ暱=3.14脳6=18.84锛堝帢绫筹級锛2锛夊渾鐨勫崐寰=6鍘樼背 閭ｄ箞鍦嗙殑鍛ㄩ暱=3.14脳6脳2=37.68锛堝帢绫筹級浜屻佸渾鐨勯潰绉叕寮忥細1銆丼=蟺r²鎴朣=蟺*锛坉/2)²2銆佸嵆...
绛旓細2.鍦嗙殑鍙傛暟鍦嗙殑涓昏鍙傛暟涓婂浘鏍囨敞浜嗗渾鐨勪竴浜涘弬鏁般傚渾鏈夋棤鏁版潯瀵圭О杞达紝瀵圭О杞寸粡杩囧渾蹇冦傚渾鏈夋棤鏁版潯鍗婂緞鍜屾棤鏁版潯鐩村緞銆傚渾褰㈡槸涓绉嶅渾閿ユ洸绾匡紝鐢卞钩琛屼簬鍦嗛敟搴曢潰鐨勫钩闈㈡埅鍦嗛敟寰楀埌銆3.琛ㄧず鏂瑰紡鍦嗏斺姍锛涘崐寰勨攔鎴朢锛涘渾蹇冣擮锛涘姬鈥斺寬锛涚洿寰勨攄锛涙墖褰㈠姬闀库擫锛涘懆闀库擟锛涢潰绉擲銆4.璁＄畻鍏紡鍦嗙殑鍛ㄩ暱鍏紡...
绛旓細鍏勾绾у渾蹇呰儗鐨鍏紡锛1銆佺洿寰=鍗婂緞脳2鍏紡锛歞=2r 銆2銆佸崐寰=鐩村緞梅2鍏紡锛歳=d梅2 銆3銆鍦嗙殑鍛ㄩ暱=鍦嗗懆鐜嚸楃洿寰勫叕寮忥細c=蟺d=2蟺r 銆4銆佸渾鐨勯潰绉紳鍗婂緞脳鍗婂緞脳蟺鍏紡锛歋锛澫rr銆5銆佸崐鍦嗗懆闀垮叕寮忥細C=蟺d梅2+d鎴朇=蟺r+2r銆傚叧浜庡渾鐨勭煡璇 1銆佸渾锛氬钩闈笂鍒板畾鐐圭殑璺濈绛変簬瀹氶暱鐨勬墍...
绛旓細涓庡渾鐩稿叧鐨鍏紡锛1銆佸渾闈㈢Н锛歋=蟺r²锛孲=蟺(d/2)²銆傦紙d涓虹洿寰勶紝r涓哄崐寰勶級銆2銆佸崐鍦嗙殑闈㈢Н锛歋鍗婂渾=(蟺r^2)/2銆傦紙r涓哄崐寰勶級銆3銆佸渾鐜潰绉細S澶у渾-S灏忓渾=蟺(R^2-r^2)(R涓哄ぇ鍦嗗崐寰勶紝r涓哄皬鍦嗗崐寰)銆4銆鍦嗙殑鍛ㄩ暱锛欳=2蟺r鎴朿=蟺d銆傦紙d涓虹洿寰勶紝r涓哄崐寰勶級銆5銆佸崐鍦嗙殑...
