求arccosx的图像~ arccosx图像是什么？
\u753b\u4e00\u4e0barccosx\u56fe\u50cfarccosx\u56fe\u50cf\uff1a
\u5b83\u662f\u4e00\u79cd\u53cd\u4e09\u89d2\u51fd\u6570\uff0c\u5b83\u7684\u503c\u662f\u4ee5\u5f27\u5ea6\u8868\u8fbe\u7684\u89d2\u5ea6\uff0c\u5b9a\u4e49\u57df\uff1a[-1\uff0c1]\u3002
\u7531\u4e8e\u662f\u591a\u503c\u51fd\u6570\uff0c\u5f80\u5f80\u53d6\u5b83\u7684\u5355\u503c\uff0c\u503c\u57df\u4e3a[0\uff0c\u03c0]\uff0c\u8bb0\u4f5cy=arccosx\uff0c\u79f0\u5b83\u53eb\u505a\u53cd\u4e09\u89d2\u51fd\u6570\u4e2d\u7684\u53cd\u4f59\u5f26\u51fd\u6570\u7684\u4e3b\u503c\u3002
\u76f8\u5173\u516c\u5f0f\uff1a
arccos(-x)=\u03c0-arccosx
sin(arcsinx)=cos(arccosx)=tan(arctanx)=cot(arccotx)=x
x\u2208[0\uff0c\u03c0]\uff0c arccos(cosx)=x
\u53cd\u4e09\u89d2\u51fd\u6570\u6982\u5ff5\uff1a
\u53cd\u4e09\u89d2\u51fd\u6570\u662f\u4e00\u79cd\u57fa\u672c\u521d\u7b49\u51fd\u6570\u3002\u5b83\u5e76\u4e0d\u80fd\u72ed\u4e49\u7684\u7406\u89e3\u4e3a\u4e09\u89d2\u51fd\u6570\u7684\u53cd\u51fd\u6570\uff0c\u662f\u4e2a\u591a\u503c\u51fd\u6570\u3002\u5b83\u662f\u53cd\u6b63\u5f26arcsin x\uff0c\u53cd\u4f59\u5f26arccos x\uff0c\u53cd\u6b63\u5207arctan x\uff0c\u53cd\u4f59\u5207arccot x\uff0c\u53cd\u6b63\u5272arcsec x,\u53cd\u4f59\u5272arccsc x\u8fd9\u4e9b\u51fd\u6570\u7684\u7edf\u79f0\uff0c\u5404\u81ea\u8868\u793a\u5176\u53cd\u6b63\u5f26\u3001\u53cd\u4f59\u5f26\u3001\u53cd\u6b63\u5207\u3001\u53cd\u4f59\u5207 ,\u53cd\u6b63\u5272\uff0c\u53cd\u4f59\u5272\u4e3ax\u7684\u89d2\u3002
在EXCEL中画的
绛旓細arccosx鍥惧儚锛歛rccos琛ㄧず鐨勬槸鍙嶄笁瑙掑嚱鏁颁腑鐨勫弽浣欏鸡銆備竴鑸敤浜庤〃绀哄綋瑙掑害涓洪潪鐗规畩瑙掓椂銆傜敱浜庢槸澶氬煎嚱鏁帮紝寰寰鍙栧畠鐨勫崟鍊硷紝鍊煎煙涓篬0锛屜]锛岃浣測=arccosx锛屾垜浠О瀹冨彨鍋氬弽涓夎鍑芥暟涓殑鍙嶄綑寮﹀嚱鏁扮殑涓诲笺備綑寮︾殑鍙嶅嚱鏁帮紝鍑芥暟涓簓=arccosx銆傚氨鏄凡鐭ヤ綑寮︽暟鍊硷紝鍙嶆眰瑙掑害锛屽cos(a) = b锛屽垯arccos(b) =...
绛旓細Arccosx鐨勫浘鍍鏄竴涓互蟺涓哄懆鏈熺殑鍛ㄦ湡鍑芥暟鍥惧儚銆傚叾鍥惧儚浣嶄簬瀹炴暟杞翠笂锛屼粠鐐瑰紑濮嬪悜涓嬪集鏇诧紝鍦ㄦ帴杩戣礋鏃犵┓鏃舵帴杩戞按骞崇嚎y = 蟺銆傝繖鏄竴涓叧浜庡師鐐瑰绉扮殑鍥惧儚锛屽苟涓斿湪x杞翠笂鏂归儴鍒嗘槸涓涓笅鍑圭殑鏇茬嚎銆傜敱浜庡嚱鏁扮殑鍛ㄦ湡鎬э紝鍥惧儚灏嗘部鐫x杞村懆鏈熸у湴鍑虹幇杩欑褰㈢姸銆傝缁嗚В閲婏細1. 鍛ㄦ湡鎬у強璧峰鐐癸細 Arccosx鍑芥暟鐨勫懆鏈...
绛旓細y=arccosx鐨勫浘鍍鏄氳繃鍙嶄綑寮﹀嚱鏁板緱鍒扮殑銆傝缁嗚В閲婂涓嬶細鍙嶄綑寮﹀嚱鏁扮殑瀹氫箟 鍙嶄綑寮﹀嚱鏁版槸浣欏鸡鍑芥暟鐨勫弽鍑芥暟銆傚湪涓涓懆鏈熷唴锛屽浜庢瘡涓涓綑寮﹀嚱鏁扮殑鍊硷紝閮藉瓨鍦ㄤ竴涓搴旂殑鍙嶄綑寮﹀嚱鏁扮殑鍊笺備緥濡傦紝cos = 1锛岄偅涔坅rccos = 0銆傚煎緱娉ㄦ剰鐨勬槸锛屽弽浣欏鸡鍑芥暟鐨勮緭鍑鸿寖鍥撮氬父鏄搴﹀埗涓嬬殑[-蟺/2鍒跋/2]锛屽搴旂殑寮...
绛旓細arccosx鍥惧儚锛氬畠鏄竴绉嶅弽涓夎鍑芥暟锛屽畠鐨勫兼槸浠ュ姬搴﹁〃杈剧殑瑙掑害锛屽畾涔夊煙锛歔-1锛1]銆傜敱浜庢槸澶氬煎嚱鏁帮紝寰寰鍙栧畠鐨勫崟鍊硷紝鍊煎煙涓篬0锛屜]锛岃浣測=arccosx锛岀О瀹冨彨鍋氬弽涓夎鍑芥暟涓殑鍙嶄綑寮﹀嚱鏁扮殑涓诲笺傜浉鍏冲叕寮忥細arccos(-x)=蟺-arccosx sin(arcsinx)=cos(arccosx)=tan(arctanx)=cot(arccotx)=x x...
绛旓細arccosx锛屽嵆鍙嶄綑寮﹀嚱鏁帮紝鏄綑寮﹀嚱鏁癱osx鐨勫弽鍑芥暟銆傚畠鐨勫畾涔夊煙涓篬-1, 1]锛屽煎煙涓篬0, 蟺]銆傜畝鍗曟潵璇达紝瀹冭〃绀轰簡涓涓粰瀹氫綑寮﹀肩殑x鐨勫彇鍊艰寖鍥淬2. arccosx鐨勫浘鍍鐗瑰緛 arccosx鐨勫浘鍍忓湪鍧愭爣绯讳腑鍛堢幇涓轰竴涓吀鍨嬬殑鍙嶅嚱鏁板浘鍍忋傚畠鐨勫浘鍍忔槸鍏充簬鍘熺偣瀵圭О鐨勶紝骞朵笖鍦ㄥ畾涔夊煙鍐呬粠璐熸棤绌峰埌姝ｆ棤绌峰彉鍖栨椂锛屽叾鍊间粠...
绛旓細鍑芥暟y=arccos锛坰inx锛夌殑鍥惧舰锛歽=arccos锛坰inx锛夊垎娈佃〃杈惧紡锛歽=arccos(sinx)=x-锛埾bai/2锛夛紝x鈭圼蟺/2锛3蟺/2)锛泍=arccos(sinx)=锛5蟺/2锛-x锛寈鈭圼3蟺/2锛5蟺/2]銆
绛旓細1銆佸弽姝ｅ鸡鍑芥暟x=sin y鍦╗-蟺/2锛屜/2]涓婄殑鍙嶅嚱鏁帮紝鍙仛鍙嶆寮﹀嚱鏁般傝浣渁rcsinx锛岃〃绀轰竴涓寮﹀间负x鐨勮锛岃瑙掔殑鑼冨洿鍦╗-蟺/2锛屜/2]鍖洪棿鍐呫傚畾涔夊煙[-1锛1] 锛屽煎煙[-蟺/2锛屜/2]銆2銆佸弽浣欏鸡鍑芥暟 x=cos y鍦╗0锛屜]涓婄殑鍙嶅嚱鏁帮紝鍙仛鍙嶄綑寮﹀嚱鏁般傝浣arccosx锛岃〃绀轰竴涓綑寮﹀间负x...
绛旓細arccosx鍥惧儚锛氬畠鏄竴绉嶅弽涓夎鍑芥暟锛屽畠鐨勫兼槸浠ュ姬搴﹁〃杈剧殑瑙掑害锛屽畾涔夊煙锛歔-1锛1]銆傜敱浜庢槸澶氬煎嚱鏁帮紝寰寰鍙栧畠鐨勫崟鍊硷紝鍊煎煙涓篬0锛屜]锛岃浣測=arccosx锛岀О瀹冨彨鍋氬弽涓夎鍑芥暟涓殑鍙嶄綑寮﹀嚱鏁扮殑涓诲笺傚嚱鏁板湪鏁板涓婄殑瀹氫箟锛氱粰瀹氫竴涓潪绌虹殑鏁伴泦A,瀵笰鏂藉姞瀵瑰簲娉曞垯f,璁颁綔f锛圓锛,寰楀埌鍙︿竴鏁伴泦B,涔熷氨鏄疊...
绛旓細鍊煎煙涓篬0锛屜]锛岃浣測=arccosx锛屾垜浠О瀹冨彨鍋氬弽涓夎鍑芥暟涓殑鍙嶄綑寮﹀嚱鏁扮殑涓诲笺傚弽涓夎鍑芥暟涓殑鍙嶄綑寮︺傛剰鎬濅负锛氫綑寮︾殑鍙嶅嚱鏁帮紝鍑芥暟涓簓=arccosx锛屽嚱鏁鍥惧儚濡備笅鍥俱傚氨鏄凡鐭ヤ綑寮︽暟鍊硷紝鍙嶆眰瑙掑害锛屽cos(a) = b锛屽垯arccos(b) = a锛涘畠鐨勫兼槸浠ュ姬搴﹁〃杈剧殑瑙掑害銆傚畾涔夊煙锛歔-1锛1]銆
绛旓細绠鍗曞垎鏋愪竴涓嬶紝璇︽儏濡傚浘鎵绀
