三角函数与坐标的关系（越详细越好） 三角函数及坐标问题？
\u4e09\u89d2\u51fd\u6570\u4e0e\u5750\u6807\u7684\u5173\u7cfb\uff08\u8d8a\u8be6\u7ec6\u8d8a\u597d\uff09\u5f88\u5bb9\u6613\uff0c\u6bd4\u5982\uff0c\u5df2\u77e5\u4e00\u4e2a\u70b9\u7684\u5750\u6807\u4e3a\uff08x1,y1\uff09,\u5e76\u4e14\u5e94\u8be5\u77e5\u9053\u5b83\u4e0e\u5706\u5fc3\u7684\u8fde\u7ebf\u4e0e\u6c34\u5e73\u7ebf\u7684\u5939\u89d2A\uff0c\u56e0\u4e3a\u5706\u5206\u6210\u4e86360\u4efd\uff0c\u90a3\u4e48\u4e0b\u4e00\u70b9\u4e0e\u5706\u5fc3\u7684\u8fde\u7ebf\u4e0e\u6c34\u5e73\u7ebf\u7684\u5939\u89d2\u5c31\u662fA+\u6216-1\u00b0,\u5e76\u4e14\u8fde\u7eed\u4e24\u70b9\u8fde\u7ebf\u7684\u8ddd\u79bba\u53ef\u4ee5\u901a\u8fc7\u4f59\u5f26\u5b9a\u7406\u6c42\u51fa\uff08\u5706\u534a\u5f84\u5df2\u77e5\uff09\uff0c\u90a3\u4e48\u53ef\u4ee5\u7b97\u51fa\u4e0b\u4e00\u70b9\u7684\u5750\u6807(x2,y2)\uff0c\u8ba1\u7b97\u5f0f\u4e3a\uff1ax2=x1+\u6216-acos(A+\u6216-1\u00b0\uff09\uff0cy2=y1+\u6216-asin(A+\u6216-1),\u697c\u4e3b\u6ce8\u610f\u4e0a\u9762\u7684\u7b26\u53f7\u95ee\u9898\uff0c\u56e0\u4e3a\u4ee5\u5706\u5fc3\u4e3a\u539f\u70b9\uff0c\u90a3\u4e48\u5706\u6709\u56db\u4e2a\u8c61\u9650\uff0c\u901a\u8fc7\u4f5c\u56fe\uff0c\u4f60\u53ef\u4ee5\u6e05\u695a\u770b\u5230\u54ea\u4e2a\u8be5\u7528\u6b63\u53f7\uff0c\u90a3\u4e2a\u8be5\u7528\u8d1f\u53f7\u3002
C\u5750\u6807\u7684\u8ba1\u7b97\u65b9\u6cd5\uff1a
\u7531\u9898\u53ef\u77e5\u5df2\u77e5\u0394ABC\u662f\u7b49\u8170\u4e09\u89d2\u5f62\uff0c\u2220CAB=\u2220CBA=30\u5ea6\uff0c\u6240\u4ee5 \u2220ACB = 120 \u5ea6 \u4e14CA =CB = (AB\u221a3)/3 ----\u2460\u3002
\u7531\u516c\u5f0f\u2460\u53ef\u5f97 \uff1a
(Ax - Cx)\u22272+(Ay- Cy)\u22272 =[ (Ax - Bx)\u22272+(Ay- By)\u22272]/3 --\u2461
(Bx - Cx)\u22272+(By- Cy)\u22272 =[ (Ax - Bx)\u22272+(Ay- By)\u22272]/3 --\u2462
\u7531\u516c\u5f0f\u2461\u548c\u2462 \u65b9\u7a0b\u6c42\u89e3\u5373\u53ef\u6c42\u51faC\u5750\u6807\u3002
绛旓細寰堝鏄擄紝姣斿锛屽凡鐭ヤ竴涓偣鐨勫潗鏍囦负锛坸1,y1锛,骞朵笖搴旇鐭ラ亾瀹冧笌鍦嗗績鐨勮繛绾夸笌姘村钩绾跨殑澶硅A锛屽洜涓哄渾鍒嗘垚浜360浠斤紝閭ｄ箞涓嬩竴鐐逛笌鍦嗗績鐨勮繛绾夸笌姘村钩绾跨殑澶硅灏辨槸A+鎴-1掳,骞朵笖杩炵画涓ょ偣杩炵嚎鐨勮窛绂籥鍙互閫氳繃浣欏鸡瀹氱悊姹傚嚭锛堝渾鍗婂緞宸茬煡锛夛紝閭ｄ箞鍙互绠楀嚭涓嬩竴鐐圭殑鍧愭爣(x2,y2)锛岃绠楀紡涓猴細x2=x1+鎴-acos(A...
绛旓細寰堝鏄擄紝姣斿锛屽凡鐭ヤ竴涓偣鐨勫潗鏍囦负锛坸1,y1锛,骞朵笖搴旇鐭ラ亾瀹冧笌鍦嗗績鐨勮繛绾夸笌姘村钩绾跨殑澶硅A锛屽洜涓哄渾鍒嗘垚浜360浠斤紝閭ｄ箞涓嬩竴鐐逛笌鍦嗗績鐨勮繛绾夸笌姘村钩绾跨殑澶硅灏辨槸A+鎴-1掳,骞朵笖杩炵画涓ょ偣杩炵嚎鐨勮窛绂籥鍙互閫氳繃浣欏鸡瀹氱悊姹傚嚭锛堝渾鍗婂緞宸茬煡锛夛紝閭ｄ箞鍙互绠楀嚭涓嬩竴鐐圭殑鍧愭爣(x2,y2)锛岃绠楀紡涓猴細x2=x1+鎴-acos(A...
绛旓細涓夎鍑芥暟锛Trigonometric锛夋槸鏁板涓睘浜庡垵绛夊嚱鏁颁腑鐨勮秴瓒婂嚱鏁扮殑涓绫诲嚱鏁般傚畠浠殑鏈川鏄换鎰忚鐨勯泦鍚堜笌涓涓瘮鍊肩殑闆嗗悎鐨勫彉閲忎箣闂寸殑鏄犲皠銆傞氬父鐨勪笁瑙掑嚱鏁版槸鍦ㄥ钩闈㈢洿瑙鍧愭爣绯涓畾涔夌殑锛屽叾瀹氫箟鍩熶负鏁翠釜瀹炴暟鍩熴傚彟涓绉嶅畾涔夋槸鍦ㄧ洿瑙掍笁瑙掑舰涓紝浣嗗苟涓嶅畬鍏ㄣ備笁瑙掑嚱鏁版槸鍩烘湰鍒濈瓑鍑芥暟涔嬩竴锛屾槸浠ヨ搴︼紙鏁板涓婃渶甯哥敤寮у害...
绛旓細鍥涖侀攼瑙涓夎鍑芥暟缁煎悎搴旂敤棰 宸茬煡锛氫竴娆″嚱鏁皔=-2x+10鐨勫浘璞′笌鍙嶆瘮渚嬪嚱鏁皔=k/x锛坘锛0锛夌殑鍥捐薄鐩镐氦浜嶢锛孊涓ょ偣锛圓鍦˙鐨勫彸渚э級锛庯紙1锛夊綋A锛4锛2锛夋椂锛屾眰鍙嶆瘮渚嬪嚱鏁扮殑瑙ｆ瀽寮忓強B鐐圭殑鍧愭爣锛涳紙2锛夊湪锛1锛夌殑鏉′欢涓嬶紝鍙嶆瘮渚嬪嚱鏁板浘璞＄殑鍙︿竴鏀笂鏄惁瀛樺湪涓鐐筆锛屼娇鈻砅AB鏄互AB涓虹洿瑙掕竟鐨勭洿瑙掍笁瑙掑舰鑻...
绛旓細路鍊掓暟鍏崇郴锛歵an伪路cot伪=1 sin伪路csc伪=1 cos伪路sec伪=1 鐩磋涓夎褰BC涓,瑙扐鐨勬寮﹀煎氨绛変簬瑙扐鐨勫杈规瘮鏂滆竟,浣欏鸡绛変簬瑙扐鐨勯偦杈规瘮鏂滆竟 姝ｅ垏绛変簬瀵硅竟姣旈偦杈,涓夎鍑芥暟鎭掔瓑鍙樺舰鍏紡 路涓よ鍜屼笌宸殑涓夎鍑芥暟锛歝os(伪+尾)=cos伪路cos尾-sin伪路sin尾 cos(伪-尾)=cos伪路cos尾+sin伪路sin...
绛旓細涓夎鍑芥暟鏄暟瀛︿腑灞炰簬鍒濈瓑鍑芥暟涓殑瓒呰秺鍑芥暟鐨鍑芥暟銆傚畠浠殑鏈川鏄换浣曡鐨勯泦鍚堜笌涓涓瘮鍊肩殑闆嗗悎鐨勫彉閲忎箣闂寸殑鏄犲皠銆傞氬父鐨勪笁瑙掑嚱鏁版槸鍦ㄥ钩闈㈢洿瑙鍧愭爣绯涓畾涔夌殑銆傚叾瀹氫箟鍩熶负鏁翠釜瀹炴暟鍩熴傚彟涓绉嶅畾涔夋槸鍦ㄧ洿瑙掍笁瑙掑舰涓紝浣嗗苟涓嶅畬鍏ㄣ傜幇浠ｆ暟瀛︽妸瀹冧滑鎻忚堪鎴愭棤绌锋暟鍒楃殑鏋侀檺鍜屽井鍒嗘柟绋嬬殑瑙ｏ紝灏嗗叾瀹氫箟鎵╁睍鍒板鏁扮郴銆...
绛旓細鍥炵瓟锛氬彲浠ヨ繖涔堢悊瑙,鍧愭爣鐭ラ亾鍚,x杞村拰y杞,浠ュ渾鐐逛负涓績,鍗婂緞涓1鐢诲渾,璁句粠鍘熺偣浣滃皠绾夸笌x杞存鍚戞垚鐨勮搴︿负胃,灏勭嚎涓庡渾鐨勪氦鐐逛负A,璁続鐨勫潗鏍囦负(a,b),姝ゆ椂:sin胃=b,cos胃=a,tan胃=b/a 褰撹搴ξ稿ぇ浜90搴﹀皬浜180搴︽椂,寰堟槑鏄綼<0,鎵浠os胃<0,b>0,鎵浠in胃>0;褰撹搴ξ稿ぇ浜180搴﹀皬浜270搴︽椂...
绛旓細鈥渃os(x+y)鐨勫睍寮灏辨槸涓嬮潰杩欎釜鍏紡鐨勮繍鐢:cos(伪卤尾)=cos伪cos尾?sin尾sin伪(鍜岃鍏紡)鍜岃鍏紡鍙堢О涓夎鍑芥暟鐨勫姞娉曞畾鐞嗘槸鍑犱釜瑙掔殑鍜(宸)鐨勪笁瑙掑嚱鏁伴氳繃鍏朵腑鍚勪釜瑙掔殑涓夎鍑芥暟鏉ヨ〃绀鐨勫叧绯銆備笁瑙掑嚱鏁版槸鏁板涓睘浜庡垵绛夊嚱鏁颁腑鐨勮秴瓒婂嚱鏁扮殑涓绫诲嚱鏁般
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绛旓細涓夎鍑芥暟琛ㄥ涓嬶細涓夎鍑芥暟鐨勬湰璐ㄦ槸浠讳綍瑙掔殑闆嗗悎涓庝竴涓瘮鍊肩殑闆嗗悎鐨勫彉閲忎箣闂寸殑鏄犲皠銆傞氬父鐨勪笁瑙掑嚱鏁版槸鍦ㄥ钩闈㈢洿瑙鍧愭爣绯涓畾涔夌殑銆傚叾瀹氫箟鍩熶负鏁翠釜瀹炴暟鍩熴傚彟涓绉嶅畾涔夋槸鍦ㄧ洿瑙掍笁瑙掑舰涓紝浣嗗苟涓嶅畬鍏ㄣ傜幇浠ｆ暟瀛︽妸瀹冧滑鎻忚堪鎴愭棤绌锋暟鍒楃殑鏋侀檺鍜屽井鍒嗘柟绋嬬殑瑙ｏ紝灏嗗叾瀹氫箟鎵╁睍鍒板鏁扮郴銆
