y=sinx和等于cosx的函数图像怎么画 y=sinxcosx的图像怎么画？
y=sinx\u4e0ey=cosx\u56fe\u50cf\u8fd9\u4e48\u753b\uff1f\u4e0a\u9762sinx,\u4e0b\u9762cosx
y=sinxcosx
=(1/2)2sinxcosx
=(1/2)sin(2x)
\u628ay=sinx\u7684\u56fe\u50cf
\u6a2a\u5750\u6807\u53d8\u4e3a\u539f\u6765\u76841/2
\u7eb5\u5750\u6807\u53d8\u4e3a\u539f\u6765\u76841/2
\u5373\u5f97
绛旓細sinx鍜宑osx鐨勫嚱鏁板浘鍍忓涓嬪浘鎵绀猴細涓鑸殑锛屽湪鐩磋鍧愭爣绯讳腑锛岀粰瀹氬崟浣嶅渾锛屽浠绘剰瑙捨憋紝浣胯伪鐨勯《鐐逛笌鍘熺偣閲嶅悎锛屽杈逛笌x杞撮潪璐熷崐杞撮噸鍚堬紝缁堣竟涓庡崟浣嶅渾浜や簬鐐筆锛坲锛寁锛夛紝閭ｄ箞鐐筆鐨勭旱鍧愭爣v鍙仛瑙捨辩殑姝ｅ鸡鍑芥暟锛岃浣渧=sin伪銆傞氬父锛屾垜浠敤x琛ㄧず鑷彉閲忥紝鍗硏琛ㄧず瑙掔殑澶у皬锛岀敤y琛ㄧず鍑芥暟鍊硷紝杩欐牱鎴戜滑灏...
绛旓細y=cosx鏄伓鍑芥暟鍥惧儚鍏充簬y杞村绉,y=sinx鏄鍑芥暟鍥惧儚鍏充簬鍘熺偣瀵圭О锛y=cosX骞崇Щ蟺/2涓崟浣嶅氨鍙樻垚浜y=sinX.浣嗘槸涓よ呰繕鏄湁鍖哄埆鐨勶細涓よ呯殑瀵圭О杞淬佸绉颁腑蹇冮兘鐩稿樊蟺/2涓崟浣,y=cosX鏄伓鍑芥暟,y=sinX鏄鍑芥暟.涓よ呭嚱鏁板彇寰楁渶澶у皬鍊兼椂X鐨勫肩浉宸/2涓崟浣....
绛旓細鐢y=sinx銆寰梱=sin(2k蟺+蟺-x) 锛岃В寰2k蟺+蟺-x=arcsiny锛屽嵆銆x=2k蟺+蟺-arcsiny锛屽鎹锛寉锛屽緱鍙嶅嚱鏁颁负y=2k蟺+蟺-arcsinx 2.y=cosx鐨勫弽鍑芥暟 鈶爔鈭圼2k蟺锛2k蟺+蟺]锛屽弽鍑芥暟涓簓=2k蟺+arccosx锛屸憽x鈭圼2k蟺-蟺锛2k蟺]锛屽弽鍑芥暟涓簓=2k蟺- arccosx ...
绛旓細B
绛旓細锛1锛y=sinx鐨勫鏁帮細y鈥=cosx 锛2锛墆=cosx鐨瀵兼暟锛歽鈥=-sinx 涓句緥濡備笅锛氾紙1锛(sin3x)'=3cos3x 锛2锛(sin5x)'=5cos5x 锛3锛(cos3x)'=-3sin3x 锛4锛(cos5x)'=-5sin5x sinX鏄寮﹀嚱鏁帮紝鑰宑osX鏄綑寮﹀嚱鏁帮紝涓よ呭鏁颁笉鍚岋紝sinX鐨勫鏁鏄痗osX锛岃cosX鐨瀵兼暟鏄 -sinX锛岃繖鏄洜涓轰袱涓...
绛旓細濡傛灉瀹氫箟鍩鏄x鈭圧鐨勮瘽锛y=sinx鍜y=cosx鏃笉鏄鍑芥暟涔熶笉鏄噺鍑芥暟銆倅=sinx x鈭(2k蟺-½蟺,2k蟺+½蟺) 鍑芥暟鍗曡皟閫掑 x鈭(2k蟺+½蟺,2k蟺+3蟺/2) 鍑芥暟鍗曡皟閫掑噺 y=cosx x鈭(2k蟺,2k蟺+蟺) 鍑芥暟鍗曡皟閫掑噺 x鈭(2k蟺+蟺,2k蟺+2蟺) 鍑芥暟鍗曡皟閫掑 ...
绛旓細鍙湁鍘熺偣杩欎竴涓氦鐐广傝繖涓彲浠ョ敤楂樹腑鏁板涓殑瀵兼暟瑙ｅ喅锛寉'=cosx,y'琛ㄧずy=sinx鐨鏂滅巼锛屽彲鐭ュ畠鎬绘瘮1灏忥紝鎵浠=x鍜寉=sinx鍦ㄤ竴銆佷笁璞￠檺涓嶅彲鑳芥湁浜ょ偣銆
绛旓細涓冧釜鍏稿瀷鐨勬湁鐣屽嚱鏁版湁y绛変簬sinx鍏朵腑璇ュ嚱鏁扮殑涓婄晫鏄1涓嬬晫鏄礋1銆y绛変簬cosx鍏朵腑璇ュ嚱鏁扮殑涓婄晫鏄1涓嬬晫鏄礋1锛寉绛変簬arctanx鍏朵腑锛岃鍑芥暟鐨勪笂鐣屾槸2鍒嗕箣pi涓嬬晫鏄2鍒嗕箣璐焢i锛寉绛変簬x0灏忎簬绛変簬x灏忎簬绛変簬5鍏朵腑璇ュ嚱鏁扮殑涓婄晫鏄5涓嬬晫鏄0銆備竷涓吀鍨嬬殑鏈夌晫鍑芥暟鐗圭偣 璁＄畻璇ュ嚱鏁扮殑鏋侀檺鍊硷紝灏辫鐪嬪畠鏄惁鏃犻檺瓒嬭繎浜庝竴...
绛旓細y锛漵inx鐨勫崟璋冨鍖洪棿涓:(2k蟺-蟺/2,2k蟺+蟺/2)y锛cosx鐨鍗曡皟澧炲尯闂涓:(2k蟺-蟺,2k蟺)(2k蟺-蟺/2,2k蟺+蟺/2)涓(2k蟺-蟺,2k蟺)鐨勪氦闆嗕负:(2k蟺-蟺/2,2k蟺)鈭翠粬浠兘鏄崟璋冪粏澧炵殑鍖洪棿涓: (2k蟺-蟺/2,2k蟺)
绛旓細0,蟺/4)U(5蟺/4,2蟺]锛4锛夊綋x灞炰簬R鏃讹紝鍒嗗埆鍐欏嚭婊¤冻sinx=cosx锛宻inx澶т簬cosx锛宻inx灏忎簬cosx鐨剎鐨勯泦鍚 sinx=cosx鐨x鐨勫涓(蟺/4+2K蟺,5蟺/4+2K蟺)sinx澶т簬cosx鐨剎鐨勫彇鍊艰寖鍥(蟺/4+2K蟺,蟺/4+(2K+1)蟺)sinx灏忎簬cosx鐨剎鐨勫彇鍊艰寖鍥(0+2K蟺,蟺/4+K蟺)...
