高中数学解三角形有哪些公式？
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差,和角公式;半,倍角公式;同角异名公式;和差化积,积化和差公式;万能公式.另,基础的诱导公式.希望能帮到你!欢迎追问!
绛旓細a/sinA=b/sinB=c/sinC=2R锛2R鍦ㄥ悓涓涓笁瑙掑舰涓槸鎭掗噺锛孯鏄涓夎褰㈠鎺ュ渾鐨勫崐寰勶級銆傚彉褰㈠叕寮 锛1锛塧=2RsinA锛宐=2RsinB锛宑=2RsinC 锛2锛塻inA锛歴inB锛歴inC=a锛歜锛歝 锛3锛塧sinB=bsinA锛宎sinC=csinA锛宐sinC=csinB 锛4锛塻inA=a/2R,sinB=b/2R,sinC=c/2R 闈㈢Н鍏紡 锛5锛塖=1/2...
绛旓細1銆乧osA=(b^2+c^2-a^2)/(2bc)锛2銆乧osB=(a^2+c^2-b^2)/(2ac)锛3銆乧osC=(a^2+b^2-c^2)/(2ab)锛涘叚銆佲滀袱杈瑰す涓瑙掆濆舰寮忕殑涓夎褰㈤潰绉叕寮 鈥滀袱杈瑰す涓瑙掆濆舰寮忕殑涓夎褰㈤潰绉叕寮忔湁涓変釜锛岄傜敤浜庢墍鏈変笁瑙掑舰銆1銆丼=(1/2)absinC锛2銆丼=(1/2)acsinB锛3銆丼=(1/2)bcsinA銆...
绛旓細a/sinA=b/sinB=c/sinC=2R锛2R鍦ㄥ悓涓涓笁瑙掑舰涓槸鎭掗噺锛孯鏄涓夎褰㈠鎺ュ渾鐨勫崐寰勶級銆傚彉褰㈠叕寮 锛1锛塧=2RsinA锛宐=2RsinB锛宑=2RsinC 锛2锛塻inA锛歴inB锛歴inC=a锛歜锛歝 锛3锛塧sinB=bsinA锛宎sinC=csinA锛宐sinC=csinB 锛4锛塻inA=a/2R,sinB=b/2R,sinC=c/2R 浜屻浣欏鸡瀹氱悊 a²...
绛旓細浣欏鸡瀹氱悊 浣欏鸡瀹氱悊涔熸槸瑙ｄ笁瑙掑舰涓父鐢ㄧ殑涓涓叕寮忥紝瀹冭〃绀哄湪浠绘剰涓夎褰腑锛屼换鎰忎竴杈圭殑骞虫柟绛変簬鍏朵粬涓よ竟鐨勫钩鏂瑰拰鍑忓幓杩欎袱杈逛笌鍏跺す瑙掔殑浣欏鸡鍊肩殑绉殑涓ゅ嶃傚叿浣撴潵璇达紝瀵逛簬浠绘剰涓夎褰BC锛岄兘鏈夛細c²=a²+b²-2abcosC 鍏朵腑a銆乥銆乧鍒嗗埆琛ㄧず涓夎褰㈢殑涓夎竟闀匡紝A銆丅銆丆鍒嗗埆琛ㄧず涓庝笁杈圭浉瀵瑰簲鐨...
绛旓細瑙ｄ笁瑙掑舰鏃讹紝甯哥敤鐨勫叕寮忓寘鎷寮﹀畾鐞嗐佷綑寮﹀畾鐞嗗拰姝ｅ垏瀹氱悊锛屽畠浠槸瑙ｅ喅涓夎褰㈣竟闀垮拰瑙掑害闂鐨勫熀鏈伐鍏凤紝鍏蜂綋鍏紡濡備笅锛氭寮﹀畾鐞嗭細鍦ㄤ换鎰忎笁瑙掑舰 ABC 涓紝璁句笁杈瑰垎鍒负 a銆乥銆乧锛屽搴旂殑瑙掑垎鍒负 A銆丅銆丆锛屽垯鏈 sinA/a = sinB/b = sinC/c銆備綑寮﹀畾鐞嗭細鍦ㄤ换鎰忎笁瑙掑舰 ABC 涓紝璁句笁杈瑰垎鍒负 a銆乥...
绛旓細a)鍙屾洸鍑芥暟 sinh(a) = (e^a-e^(-a))/2 cosh(a) = (e^a+e^(-a))/2 tgh(a) = sinh(a)/cosh(a)鍏紡涓锛氳伪涓轰换鎰忚锛岀粓杈圭浉鍚岀殑瑙掔殑鍚屼竴涓夎鍑芥暟鐨勫肩浉绛夛細sin锛2k蟺锛嬑憋級= sin伪 cos锛2k蟺锛嬑憋級= cos伪 tan锛2k蟺锛嬑憋級= tan伪 cot锛2k蟺锛嬑憋級= cot伪 ...
绛旓細姝ｅ鸡瀹氱悊锛歛:sinA锛漛锛歴inB=c:sinC=2R (鍏朵腑R鏄柍ABC鐨勫鎺ュ渾鐨勫崐寰勶級 浣欏鸡瀹氱悊锛歛鏂=b鏂+c鏂-2bc涔榗osA 涓夎褰㈤潰绉叕寮忥細S锛漚bsinC/2
绛旓細涓夎褰鐨勬墍鏈楂樹腑鍏紡,浣犵煡閬撳悧瑙ｇ洿瑙掍笁瑙掑舰(鏂滀笁瑙掑舰鐗规畩鎯呭喌): 鍕捐偂瀹氱悊,鍙傜敤浜庣洿瑙掍笁瑙掑舰(澶栧浗鍙滄瘯杈惧摜鎷夋柉瀹氱悊鈥) a^2+b^2=c^2, 鍏朵腑a鍜宐鍒嗗埆涓虹洿瑙掍笁瑙掑舰涓ょ洿瑙掕竟,c涓烘枩杈广 鍕捐偂寮︽暟鏄寚涓缁
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绛旓細a^2+c^2-b^2=2ac路COSB=4鏍瑰彿3路1/2ac路SinB 鎵浠anB=1/鏍瑰彿3锛屾墍浠=30掳鎴栬呄/6寮у害銆
