阿基米德螺旋线的极坐标方程为什么是r=aθ?3个字母各表示什么意义?
r：极径 ； θ：极角 ； a：常数函数的意义是：这个螺线的极径正比于极角.
绛旓細闃垮熀绫冲痉铻虹嚎鐨勬爣鍑嗘瀬鍧愭爣鏂圭▼锛歳锛埼革級=a+b锛埼革級銆俠鏄樋鍩虹背寰疯灪鏃嬬嚎绯绘暟锛宮m/掳锛岃〃绀烘瘡鏃嬭浆1搴︽椂鏋佸緞鐨勫鍔狅紙鎴栧噺灏忥級閲忥紱胃鏄瀬瑙掞紝鍗曚綅涓哄害锛岃〃绀洪樋鍩虹背寰疯灪鏃嬬嚎杞繃鐨勬诲害鏁帮紱a鏄綋胃=0掳鏃剁殑鏋佸緞锛宮m銆傞樋鍩虹背寰疯灪绾夸粙缁 闃垮熀绫冲痉铻虹嚎锛堜害绉扮瓑閫熻灪绾匡級锛屽緱鍚嶄簬鍏厓鍓嶄笁涓栫邯甯岃厞鏁板瀹堕樋...
绛旓細闃垮熀绫冲痉铻烘棆绾跨殑鏍囧噯鏋佸潗鏍囨柟绋嬫槸r锛埼革級= a+ b锛埼革級锛屽叾涓璪鎺у埗铻虹嚎鐨勫鍑忛噺锛宎鍒欏畾涔変簡鍒濆鏋佸緞銆傞氳繃璋冩暣a鍜宐鐨勫硷紝鍙互鏀瑰彉铻虹嚎鐨勫舰鐘跺拰鑷傞棿璺濈銆傚煎緱娉ㄦ剰鐨勬槸锛岄樋鍩虹背寰疯灪绾挎湁涓ゆ潯锛屼竴鏉″搴斘>0锛屽彟涓鏉″搴斘<0锛屽畠浠湪鏋佺偣澶勬棤缂濊繛鎺ワ紝閫氳繃鏃嬭浆鍏朵腑涓涓90掳/270掳锛屽彲浠ュ緱鍒板叾闀滃儚銆...
绛旓細1锛鏋佸潗鏍鍙傛暟鏂圭▼涓锛歳 = a胃 2锛夌瑳鍗″皵鍧愭爣涓嬬殑鍙傛暟鏂圭▼寮忎负锛歳=x*(1+t)x=r*cos(t * 360)y=r*sin(t *360)z=0 闃垮熀绫冲痉铻虹嚎锛堥樋鍩虹背寰锋洸绾匡級 锛屼害绉扳滅瓑閫熻灪绾库濄傚綋涓鐐筆娌垮姩灏勭嚎OP浠ョ瓑閫熺巼杩愬姩鐨勫悓鏃讹紝璇ュ皠绾縊P鍙堜互绛夎閫熷害缁曠偣O鏃嬭浆锛岀偣P鐨勮建杩圭О涓衡滈樋鍩虹背寰疯灪绾库濄
绛旓細闃垮熀绫冲痉铻虹嚎鐨勬瀬鍧愭爣鏂圭▼鏄痳=a胃 鏇茬嚎闀垮害s=鈭牴鍙(r^2+r'^2)d胃,胃鏄0鍒2蟺涓婄殑浠绘剰鏁板 閭ｄ箞浠ヤ笂鐨勫畾绉垎鍙互鍦ㄨ繖涓寖鍥翠箣鍐呬换鎰忓彇绾挎杩涜璁＄畻 s=鈭牴鍙(r^2+r'^2)d胃=a^2鈭牴鍙(胃^2+1)d胃
绛旓細涓鐐筆娌垮姩灏勭嚎OP浠ョ瓑閫熺巼杩愬姩鐨勫悓鏃讹紝璇ュ皠绾垮張浠ョ瓑瑙掗熷害缁曠偣O鏃嬭浆锛岀偣P鐨勮建杩圭О涓衡闃垮熀绫冲痉铻虹嚎鈥濄傛瀬鍧愭爣鏂圭▼寮 瀹鐨 鏋佸潗鏍囨柟绋嬩负锛歳 = a胃 杩欑铻虹嚎鐨姣忔潯鑷傜殑璺濈姘歌繙鐩哥瓑浜 2蟺a銆
绛旓細闃垮熀绫冲痉铻虹嚎鐨勬瀬鍧愭爣鏂圭▼涓锛歱=a胃 x=pcos胃=a胃cos胃 y=psin胃=a胃sin胃 dy/d胃=a(sin胃+胃cos胃)鍒檇y/dx=(sin胃+胃cos胃)/(cos胃-胃sin胃)y=(sint+tcost)/(cost-tsint)*(x-atcost)+atsint 鍚箟 鍒囩嚎鏂圭▼鏄爺绌跺垏绾夸互鍙婂垏绾跨殑鏂滅巼鏂圭▼锛屾秹鍙婂嚑浣曘佷唬鏁般佺墿鐞嗗悜閲忋侀噺瀛愬姏瀛︾瓑...
绛旓細鏋佸潗鏍绯荤粺涓殑闃垮熀绫冲痉铻烘棆闈紝鍏剁壒寰鏂圭▼鍙互琛ㄨ堪涓猴細鍦ㄦ瀬鍧愭爣褰㈠紡涓嬶紝杩欑鐙壒鐨铻烘棆绾跨殑琛ㄨ揪寮忎负:r 胃 = a 胃 鍊煎緱娉ㄦ剰鐨勬槸锛岃繖绉铻虹嚎鐨姣忎竴鏉¤噦鐨勯暱搴﹀缁堜繚鎸佸湪鎭掑畾鍊硷紝鍗2蟺涔樹互鍙傛暟a銆傚鏋滄垜浠皢闃垮熀绫冲痉铻烘棆闈㈣浆鎹负绗涘崱灏斿潗鏍囩郴锛屽叾瀵瑰簲鐨勬柟绋嬪垯浼氬憟鐜颁负:r (t )= 10 * (1 + t)鍏朵腑...
绛旓細闃垮熀绫冲痉铻虹嚎 鏄墍鏈夊舰寮忎负 锛鏋佸潗鏍囨柟绋锛塺 = a胃 鐨勮灪绾裤傝繖绉铻虹嚎鐨姣忔潯鑷傜殑璺濈姘歌繙鐩哥瓑浜 2蟺a銆
绛旓細闃垮熀绫冲痉铻烘棆绾 闃垮熀绫冲痉铻烘棆绾跨殑鏍囧噯鏋佸潗鏍囨柟绋嬩负 蟻=at+P0 寮忎腑锛歛鈥旈樋鍩虹背寰疯灪鏃嬬嚎绯绘暟锛宮m/掳锛岃〃绀烘瘡鏃嬭浆1搴︽椂鏋佸緞鐨勫鍔狅紙鎴栧噺灏忥級閲忥紱t鈥旀瀬瑙掞紝鍗曚綅涓哄害锛岃〃绀洪樋鍩虹背寰疯灪鏃嬬嚎杞繃鐨勬诲害鏁帮紱蟻o鈥斿綋t=0掳鏃鐨勬瀬寰勶紝mm銆傚疄渚 涓涓叿鏈夐樋鍩虹背寰疯灪鏃嬬嚎鐨勫嚫杞紝鐐筆1鑷崇偣P2涓虹涓娈甸樋鍩虹背寰疯灪鏃...
绛旓細闃垮熀绫冲痉铻虹嚎鐨勬瀬鍧愭爣鏂圭▼寮忎负锛氬叾涓璦鍜宐鍧囦负瀹炴暟銆傛敼鍙樺弬鏁癮鐩稿綋浜庢棆杞灪绾跨嚎锛岃屽弬鏁癰鍒欐帶鍒剁浉閭讳袱鏉℃洸绾夸箣闂寸殑璺濈銆傞樋鍩虹背寰疯灪绾跨殑骞抽潰绗涘崱灏斿潗鏍囨柟绋嬪紡涓猴細浠庣瑳鍗″皵鍧愭爣绯诲埌鏋佸潗鏍囩郴鐨勫彉鎹細锛屼粠鏋佸潗鏍囩郴鍒扮瑳鍗″皵鍧愭爣绯荤殑鍙樻崲锛
