椭圆，园，双曲线等图形的公式及知识点 椭圆和双曲线的通径公式是什么啊？
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列下最简单的公式：
1）椭圆公式
x^2/a^2+y^2/b^2=1
2）圆公式
x^2+y^2=R^2
3）双曲线公式
xy=1
注：数学的难点不在于基本公式，而是公式的应用，要数型结合。
绛旓細鍦嗛敟鏇茬嚎鐨勫叕寮涓昏鏈変互涓嬶細1銆妞渾鈭剁劍鍗婂緞鈭禷+ex(宸︾劍鐐),a-ex(鍙崇劍鐐),x=a²/c 2銆鍙屾洸绾鈭剁劍鍗婂緞鈭秥a+ex|(宸︾劍鐐)|a-ex|(鍙崇劍鐐),鍑嗙嚎x=a²/c 3銆佹姏鐗╃嚎(y²=2px)鈭剁劍鍗婂緞鈭秞+p/2鍑嗙嚎鈭秞=-p/2 寮﹂暱=鈭歬²+1*鈭(x1+x2)²-4x1x2浠ヤ笂鏄劍鐐...
绛旓細鍨傜洿妞渾锛歟 = c/a = (A - B)^(1/2) / A^(1/2)銆傦紙6锛夌劍璺濓細姘村钩妞渾锛2c = 2(A - B)^(1/2)锛涘瀭鐩存き鍦嗭細2c = 2(A - B)^(1/2)銆傛荤粨锛鍙屾洸绾垮拰妞渾鐨甯哥敤鍏紡鍖呮嫭瀹冧滑鐨勬爣鍑嗘柟绋嬨佺劍鐐瑰潗鏍囥侀《鐐瑰潗鏍囥佹笎杩戠嚎鏂圭▼锛堜粎閫傜敤浜庡弻鏇茬嚎锛夈佸崐闀胯酱銆佸崐鐭酱銆佺蹇冪巼鍜岀劍璺濈瓑銆
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绛旓細鍙屾洸绾(Hyperbola)鏄寚涓庡钩闈笂涓や釜瀹氱偣鐨勮窛绂讳箣宸殑缁濆鍊间负瀹氬肩殑鐐圭殑杞ㄨ抗,涔熷彲浠ュ畾涔変负鍒板畾鐐逛笌瀹氱洿绾跨殑璺濈涔嬫瘮鏄竴涓ぇ浜1鐨勫父鏁扮殑鐐逛箣杞ㄨ抗.鍦ㄥ钩闈㈢洿瑙掑潗鏍囩郴涓,浜屽厓浜屾鏂圭▼f(x,y)=ax^2+bxy+cy^2+dx+ey+f=0婊¤冻浠ヤ笅鏉′欢鏃,鍏跺浘鍍忎负鍙屾洸绾.1.a銆乥銆乧涓嶉兘鏄浂.2.b^2 - 4ac > ...
绛旓細骞抽潰鍐呬竴涓姩鐐瑰埌涓涓畾鐐逛笌涓鏉″畾鐩寸嚎鐨勮窛绂讳箣姣旀槸涓涓ぇ浜1鐨勫父鏁般傚畾鐐规槸鍙屾洸绾跨殑鐒︾偣锛屽畾鐩寸嚎鏄弻鏇茬嚎鐨勫噯绾,甯告暟e鏄弻鏇茬嚎鐨 銆2.闆嗗悎璇█瀹氫箟:璁 鍙屾洸绾夸笂鏈変竴鍔ㄧ偣M,瀹氱偣F,鐐筂鍒板畾鐩寸嚎璺濈涓篸,杩欐椂绉伴泦鍚坽M| |MF|/d=e,e>1}琛ㄧず鐨勭偣闆嗘槸鍙屾洸绾.娉ㄦ剰:瀹氱偣F瑕佸湪瀹氱洿绾垮 涓 姣斿...
绛旓細妞渾鍙屾洸绾鍏紡锛歺^2/a^2+y^2/b^2=1銆傛き鍦嗭紙Ellipse锛夋槸骞抽潰鍐呭埌瀹氱偣F1銆丗2鐨勮窛绂讳箣鍜岀瓑浜庡父鏁帮紙澶т簬|F1F2|锛夌殑鍔ㄧ偣P鐨勮建杩癸紝F1銆丗2绉颁负妞渾鐨涓や釜鐒︾偣銆傚叾鏁板琛ㄨ揪寮忎负锛殀PF1|+|PF2|=2a锛2a>|F1F2|锛夈備竴鑸殑锛屽弻鏇茬嚎锛堝笇鑵婅鈥ὑ蟺蔚蟻尾慰位ή鈥濓紝瀛楅潰鎰忔濇槸鈥滆秴杩団濇垨...
绛旓細妞渾x^2/a^2 + y^2/b^2 =1 鍦ㄩ《鐐(a, 0)澶勭殑鏇茬巼鍗婂緞涓篵^2/a锛屽湪(0,b)澶勭殑鏇茬巼鍗婂緞涓篴^2/b銆 鍙屾洸绾x^2/a^2 - y^2/b^2 =1鍦ㄩ《鐐(a, 0)鎴(-a,0)澶勭殑鏇茬巼鍗婂緞閮芥槸b^2/a銆 鎶涚墿绾縴^2=2px (p鈮0)鍦ㄩ《鐐(0,0)澶勭殑鏇茬巼鍗婂緞涓簗p|銆
绛旓細鍙屾洸绾閫氬緞鍏紡涔熸槸2b鐨勫钩鏂/a銆傛き鍦嗛氬緞鍏紡2b鐨勫钩鏂/a銆傛姏鐗╃嚎閫氬緞鍏紡鏄2P銆傝仈缁撴き鍦嗕笂浠绘剰涓ょ偣鐨勭嚎娈靛彨浣滆繖涓妞渾鐨寮︼紝閫氳繃鐒︾偣鐨勫鸡鍙綔杩欎釜妞渾鐨勭劍鐐瑰鸡(鎵浠ユき鍦嗙殑闀胯酱涔熸槸鐒︾偣寮)锛屽拰闀胯酱鍨傜洿鐨勭劍鐐瑰鸡鍙綔杩欎釜妞渾鐨勯氬緞(姝ｇ劍寮)銆傚弻鏇茬嚎瀹氫箟锛氬畾涔1锛氬钩闈㈠唴锛屽埌涓や釜瀹氱偣鐨勮窛绂讳箣宸殑缁濆鍊间负...
绛旓細鏍囧噯鍨嬩竴锛</...鏍囧噯鍨嬩簩锛</...鎺ヤ笅鏉ワ紝鎴戜滑杞悜妞渾锛瀹冩槸鐢辨墍鏈夌偣鏋勬垚锛岃繖浜涚偣鍒颁袱涓劍鐐圭殑璺濈涔嬪拰鎭掑畾銆傛き鍦嗙劍鐐瑰绉版斁缃湪x杞翠笂锛屽叾鏍囧噯鏂圭▼鐨勬帹瀵煎熀浜庝袱鐐归棿璺濈鐨勫叕寮忥紝浠や袱鐒︾偣鍒扮偣鐨勮窛绂诲拰涓2a锛氬浜庢き鍦嗭紝鍏抽敭鍦ㄤ簬鍖哄垎妯疆涓庣珫缃殑涓ょ鏍囧噯褰㈠紡锛屽彇鍐充簬x鍜寉鐨勭郴鏁拌皝鏇村ぇ銆鍙屾洸绾鍒欎互...
绛旓細褰撶劍鐐瑰湪x杞存椂锛屾き鍦嗙殑鏍囧噯鏂圭▼鏄細x^2/a^2+y^2/b^2=1锛(a>b>0)锛涘綋鐒︾偣鍦▂杞存椂锛屾き鍦嗙殑鏍囧噯鏂圭▼鏄細y^2/a^2+x^2/b^2=1锛(a>b>0)锛涘叾涓璦^2-c^2=b^2銆傛帹瀵:PF1+PF2>F1F2(P涓烘き鍦嗕笂鐨勭偣 F涓虹劍鐐)銆鍙屾洸绾跨殑鏍囧噯鏂圭▼鍒嗕袱绉嶆儏鍐碉細鐒︾偣鍦╔杞翠笂鏃朵负锛歺^2/a^2-y^2/...
