初一数学什么是欧拉公式 初一数学欧拉公式的数学题
\u521d\u4e00\u7684\u6b27\u62c9\u516c\u5f0f\u662f\u4ec0\u4e48\u554a\u6b27\u62c9\u516c\u5f0f
\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
\u6b64\u51fd\u6570\u5c06\u4e24\u79cd\u622a\u7136\u4e0d\u540c\u7684\u51fd\u6570---\u6307\u6570\u51fd\u6570\u4e0e\u4e09\u89d2\u51fd\u6570\u8054\u7cfb\u8d77\u6765\uff0c\u88ab\u8a89\u4e3a\u6570\u5b66\u4e2d\u7684\u201c\u5929\u6865\u201d\u3002
\u5f53\u03b8=\u03c0\u65f6\uff0c\u6210\u4e3ae\uff3ei\u03c0+1=0 \u5b83\u628a\u6570\u5b66\u4e2d\u6700\u91cd\u8981\u7684e\u3001i\u3001\u03c0\u30011\u30010\u8054\u7cfb\u8d77\u6765\u4e86\u3002
\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\uff0cf\u662f\u9762\u6570\uff0c\u5219
v-e+f=2-2p
p\u4e3a\u4e8f\u683c\uff0c2-2p\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
\u5e0c\u671b\u5bf9\u4f60\u6709\u5e2e\u52a9\uff01
\u6b27\u62c9\u516c\u5f0fV+F-E=2
\u9876\u70b9\u6570(V)\u3001\u9762\u6570(F)\u3001\u68f1\u6570(E)\u4e4b\u95f4\u5b58\u5728\u7684\u5173\u7cfb\u5f0f\u77e5\uff1a V+F-E=2
\u9898\u610f\u77e5\u8fd9\u4e2a\u591a\u9762\u4f53\u7684\u9762\u6570\u4e3am+n
\u68f1\u657018*4/2=36
\u6839\u636eV+F-E=2 \u53ef\u5f97 18+(m+n)-36=2\u53ef\u5f97 m+n=20
图多面体：点+面-棱=2
绛旓細娆ф媺鍏紡鏄鏁板涓竴涓粡鍏哥殑鍏紡锛屽畠鏈夊嚑绉嶄笉鍚岀殑褰㈠紡锛屾渶钁楀悕鐨勫舰寮鏄鎷夊叕寮鐨勭壒娈婃儏鍐碉紝鍗砮^i蟺 + 1 = 0銆備互涓嬫槸娆ф媺鍏紡鐨勫嚑绉嶅舰寮忥細1. 娆ф媺鍏紡鐨勭壒娈婂舰寮忥細e^i蟺 + 1 = 0銆傝繖涓舰寮忓皢浜斾釜鍩烘湰鐨勬暟瀛﹀父鏁帮紙e銆乮銆佅銆1鍜0锛夎仈绯诲湪涓璧凤紝琚涓烘槸闈炲父缇庝附鍜屽濡欑殑鏁板绛夊紡銆2. ...
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绛旓細R+ V- E= 2灏鏄鎷夊叕寮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...
绛旓細钁楀悕鐨勪竷搴фˉ闂涔熸槸浠栬В鍐崇殑銆備粬鏄垱绔鏁板绗﹀彿鐨勫ぇ甯堛傞鍏堜娇鐢╢(x)琛ㄧず鍑芥暟锛岄鍏堢敤鈭戣〃绀鸿繛鍔狅紝棣栧厛鐢╥琛ㄧず铏氭暟鍗曚綅銆1727骞撮鍏堝紩鐢╡鏉ヨ〃绀鸿嚜鐒跺鏁扮殑搴曘娆ф媺鍏紡鏈変袱涓竴涓槸鍏充簬澶氶潰浣撶殑銆傚鍑稿闈綋闈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杩欎釜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...
绛旓細椤剁偣锛圴锛-妫辨暟锛圗锛+闈㈡暟锛團锛夛級=2锛岃妫辨暟涓簒锛屽垯椤剁偣涓猴紙x-10锛夛紝浠ｅ叆鍏紡寰楋紝x-10-x+12=2鎭掓垚绔嬨傛剰鎬濆氨鏄痻鍙互鍙栦换鎰忕殑姝ｆ暟锛屾鏂逛綋涓6涓潰锛12鏉℃１锛岀敱姝ｆ柟浣撳垏瑙掑闈紝澶氫竴涓潰鍒欏涓夋潯妫憋紝澶6涓潰鍒欏18鏉℃１锛屽叡12+18=30鏉℃１锛涜鍏竟褰㈢殑涓暟涓簒锛屽垯涓夎褰㈢殑涓暟涓...
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鐫鍚嶃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傚鍙樺嚱鏁颁腑锛宔^(ix)=(cos x+isin x)绉颁负娆ф媺鍏紡锛宔鏄嚜鐒跺鏁扮殑搴曪紝i鏄櫄鏁板崟浣嶃傛鎷夊叕寮忔湁4鏉★紝鍒嗗埆鏄細1銆佸垎寮 a锛緍/锛坅-...
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绛旓細閿欐媺锛侊紒锛娆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 锛3...
