欧拉公式是什么啊。
\u6b27\u62c9\u516c\u5f0f\u662f\u4ec0\u4e48\u554a\u6b27\u62c9\u516c\u5f0f\u67094\u6761
\uff081\uff09\u5206\u5f0f\uff1a
a\uff3er/(a-b)(a-c)+b\uff3er/(b-c)(b-a)+c\uff3er/(c-a)(c-b)
\u5f53r=0,1\u65f6\u5f0f\u5b50\u7684\u503c\u4e3a0
\u5f53r=2\u65f6\u503c\u4e3a1
\u5f53r=3\u65f6\u503c\u4e3aa+b+c
\uff082\uff09\u590d\u6570
\u7531e\uff3ei\u03b8=cos\u03b8+isin\u03b8,\u5f97\u5230\uff1a
sin\u03b8=\uff08e\uff3ei\u03b8-e\uff3e-i\u03b8\uff09/2i
cos\u03b8=\uff08e\uff3ei\u03b8+e\uff3e-i\u03b8\uff09/2
\uff083\uff09\u4e09\u89d2\u5f62
\u8bbeR\u4e3a\u4e09\u89d2\u5f62\u5916\u63a5\u5706\u534a\u5f84\uff0cr\u4e3a\u5185\u5207\u5706\u534a\u5f84\uff0cd\u4e3a\u5916\u5fc3\u5230\u5185\u5fc3\u7684\u8ddd\u79bb\uff0c\u5219\uff1a
d\uff3e2=R\uff3e2-2Rr
\uff084\uff09\u591a\u9762\u4f53
\u8bbev\u4e3a\u9876\u70b9\u6570\uff0ce\u4e3a\u68f1\u6570\uff0c\u662f\u9762\u6570\uff0c\u5219
v-e+f=2-2p
p\u4e3a\u6b27\u62c9\u793a\u6027\u6570\uff0c\u4f8b\u5982
p=0 \u7684\u591a\u9762\u4f53\u53eb\u7b2c\u96f6\u7c7b\u591a\u9762\u4f53
p=1 \u7684\u591a\u9762\u4f53\u53eb\u7b2c\u4e00\u7c7b\u591a\u9762\u4f53
\u7b49\u7b49
\u5176\u5b9e\u6b27\u62c9\u516c\u5f0f\u662f\u67094\u4e2a\u7684\uff0c\u4e0a\u9762\u8bf4\u7684\u90fd\u662f\u591a\u9762\u4f53\u7684\u516c\u5f0f
http://baike.baidu.com/view/398.htm
绛旓細娆ф媺鍏紡鏈4鏉 锛1锛夊垎寮忥細a锛緍/(a-b)(a-c)+b锛緍/(b-c)(b-a)+c锛緍/(c-a)(c-b)褰搑=0,1鏃跺紡瀛愮殑鍊间负0 褰搑=2鏃跺间负1 褰搑=3鏃跺间负a+b+c 锛2锛夊鏁 鐢眅锛緄胃=cos胃+isin胃,寰楀埌锛歴in胃=锛坋锛緄胃-e锛-i胃锛/2i cos胃=锛坋锛緄胃+e锛-i胃锛/2 姝ゅ嚱鏁板皢涓ょ鎴劧...
绛旓細R+ V- E= 2灏辨槸娆ф媺鍏紡銆傚湪浠讳綍涓涓鍒欑悆闈㈠湴鍥句笂锛岀敤 R璁板尯鍩熶釜 鏁 锛孷璁伴《鐐逛釜鏁 锛孍璁拌竟鐣屼釜鏁 锛屽垯 R+ V- E= 2锛岃繖灏辨槸娆ф媺瀹氱悊 锛屽畠浜 1640骞寸敱 Descartes棣栧厛缁欏嚭璇佹槑銆傚悗鏉 Euler(娆ф媺 )浜 1752骞村張鐙珛鍦扮粰鍑鸿瘉鏄 锛屾垜浠О鍏朵负娆ф媺瀹氱悊 锛屽湪鍥藉涔熸湁浜虹О鍏 涓 Descartes瀹...
绛旓細娆ф媺鍏紡锛氱偣鏁+闈㈡暟-妫辨暟=2 濡傦細闀挎柟浣擄細8鐐6闈12鏉℃１锛8+6-12=2 n妫遍敟锛氱偣+闈-妫=锛坣+1锛+锛坣+1锛-2n=2 n妫辨煴锛氱偣+闈-妫=2n+锛坣+2锛-3n=2
绛旓細娆ф媺鍏紡鏄痚i胃=cos胃+isin胃銆傛嫇鎵戝涓紝鍦ㄤ换浣曚竴涓鍒欑悆闈㈠湴鍥句笂锛岀敤 R璁板尯鍩熶釜 鏁 锛孷璁伴《鐐逛釜鏁 锛孍璁拌竟鐣屼釜鏁 锛屽垯 R+ V- E= 2锛岃繖灏辨槸娆ф媺瀹氱悊 锛屽畠浜 1640骞寸敱 Descartes棣栧厛缁欏嚭璇佹槑 锛屽悗鏉 Euler(娆ф媺 )浜 1752骞村張鐙珛鍦扮粰鍑鸿瘉鏄 锛屾垜浠О鍏朵负娆ф媺瀹氱悊 锛屽湪鍥藉涔熸湁浜虹О鍏 ...
绛旓細娆ф媺瀹氱悊锛歟^(ix)=cosx+isinx銆傚叾涓細e鏄嚜鐒跺鏁扮殑搴曪紝i鏄櫄鏁板崟浣嶃傚畠灏嗕笁瑙掑嚱鏁扮殑瀹氫箟鍩熸墿澶у埌澶嶆暟锛屽缓绔嬩簡涓夎鍑芥暟鍜屾寚鏁板嚱鏁扮殑鍏崇郴锛屽畠鍦ㄥ鍙樺嚱鏁拌閲屽崰鏈夐潪甯搁噸瑕佺殑鍦颁綅銆傚皢鍏紡閲岀殑x鎹㈡垚-x锛屽緱鍒帮細e^(-ix)=cosx-isinx锛岀劧鍚庨噰鐢ㄤ袱寮忕浉鍔犲噺鐨勬柟娉曞緱鍒帮細sinx=[e^(ix)-e^(-ix)]/(2i)...
绛旓細娆ф媺鍏紡鏄锛歟^锛坕x锛=cos锛坸锛+i*sin锛坸锛夈傛鎷夊叕寮忓湪涓嶅悓鐨勫绉戜腑鏈夌潃涓嶅悓鐨勫惈涔夈傚鍙樺嚱鏁颁腑锛宔^锛坕x锛=锛坈os x+isin x锛夌О涓烘鎷夊叕寮忥紝e鏄嚜鐒跺鏁扮殑搴曪紝i鏄櫄鏁板崟浣嶃傛嫇鎵戝涓紝鍦ㄤ换浣曚竴涓鍒欑悆闈㈠湴鍥句笂銆傜敤R璁板尯鍩熶釜鏁帮紝V璁伴《鐐逛釜鏁帮紝E璁拌竟鐣屼釜鏁帮紝鍒橰+V-E=2锛岃繖灏辨槸娆ф媺...
绛旓細娆ф媺鍏紡鏄涓绉嶆弿杩板鏁版寚鏁拌繍绠楃殑鍏紡锛岀敱鐟炲＋鏁板瀹舵鎷変簬18涓栫邯鍙戠幇銆傚畠琛ㄨ揪寮忎负e^锛坕x锛=cos锛坸锛+isin锛坸锛夛紝鍏朵腑e琛ㄧず鑷劧瀵规暟鐨勫簳鏁帮紝i琛ㄧず铏氭暟鍗曚綅锛寈涓哄疄鏁般傛鎷夊叕寮忕殑鎰忔濇槸锛氬綋浠涓哄簳锛屼互铏氭暟i涔樹笂涓涓疄鏁皒鏃讹紝鍏剁粨鏋滃彲浠ヨ〃绀轰负涓涓叿鏈夊疄閮ㄥ拰铏氶儴鐨勫鏁帮紝瀹為儴涓篶os锛坸锛夛紝铏氶儴涓簊in...
绛旓細鍒╃敤鈥娆ф媺鍏紡鈥1+1/2+1/3+鈥︹+1/n=ln(n)+C锛(C涓烘鎷夊父鏁)Sn=1+1/2+1/3+鈥+1/n>ln(1+1)+ln(1+1/2)+ln(1+1/3)+鈥+ln(1+1/n)=ln[2*3/2*4/3*鈥*(n+1)/n]=ln(n+1)
绛旓細娆ф媺鍏紡鏈変袱涓細涓涓槸鍏充簬澶氶潰浣撶殑锛氬鍑稿闈綋闈㈡暟鏄疐锛岄《鐐规暟鏄疺锛屾１鏁版槸E锛屽垯V-E+F=2锛涜繖涓2灏辩О娆ф媺绀烘ф暟銆傚彟涓涓槸鍏充簬绾ф暟灞曞紑鐨勶細e^(i*x)=cos(x)+i*sin(x). 杩欓噷i鏄櫄鏁板崟浣嶏紝i鐨勫钩鏂=-1銆
绛旓細娆ф媺鍏紡鏄鍝堝痉路娆ф媺鍦ㄥ崄鍏笘绾垱閫犵殑锛屾槸鏁板鐣屾渶钁楀悕銆佹渶缇庝附鐨勫叕寮忎箣涓銆備箣鎵浠ュ姝わ紝鏄洜涓哄畠娑夊強鍒板悇绉嶆樉鐒堕潪甯镐笉鍚岀殑鍏冪礌锛屾瘮濡傛棤鐞嗘暟e銆佽櫄鏁板拰涓夎鍑芥暟銆R+ V- E= 2灏辨槸娆ф媺鍏紡銆備綔鐢細娆ф媺鍏紡瀹规槗鐞嗚В鐨勬湁涓や釜浣滅敤锛屼竴涓槸鐢ㄤ簬澶氶潰浣撶殑锛岃屽彟澶栤斾釜鏄敤浜庣骇鏁板睍寮鐨勩傛鎷夊叕寮忔暟瀛︿腑璧峰埌...
