已知双曲线的方程为,双曲线的一个交点到一条渐近线的距离
答案：B绛旓細瑙ｏ細娓愯繎绾夸负y=(1/2)x a:b=2:1 浠鍙屾洸绾挎柟绋嬩负锛歽²/b²-x²/4b²=1 灏(4,3)浠ｅ叆锛歜²=5 鈭村弻鏇茬嚎鏂圭▼涓猴細y²/5-x²/20=1
绛旓細瑙ｏ細璁撅細鍙屾洸绾跨殑鏍囧噯寮忔槸锛歺²/a²-y²/b²=1 宸茬煡锛氬弻鏇茬嚎缁忚繃(2锛屸垰2)鎵浠ワ紝鏈夛細2²/a²-(鈭2)²/b²=1 4/a²-2/b²=1 2a²-a²b²-4b²=0鈥︹︹(1)鍙堬細鍙屾洸绾跨殑涓鏉℃笎杩戠嚎涓猴細2x+y=0锛屽嵆...
绛旓細鎶涚墿绾 x^2=16y 涓紝2p=16锛宲=8锛宲/2=4 锛屽洜姝ょ劍鐐逛负锛0锛4锛夛紝鍥犳鍙屾洸绾夸腑锛c=4锛屽張 e=c/a=2 锛屽洜姝 a=2 锛屾墍浠 a^2=4锛宐^2=c^2-a^2=12 锛屽張鐒︾偣鍦 y 杞达紝鎵浠鍙屾洸绾挎柟绋嬩负 y^2/4-x^2/12=1 锛屽洜姝わ紝鍏舵笎杩戠嚎鏂圭▼涓 y=卤a/b*x=卤鈭3/3*x 銆
绛旓細鐢卞弻鏇茬嚎鐒︾偣鍧愭爣锛5,0锛夊緱 c=5 ,鍥犳 a^2+b^2=c^2=25 ,---锛1锛夊張鍙屾洸绾跨殑涓鏉℃笎杩戠嚎鏂圭▼涓 y=3/4*x ,鍥犳鏍规嵁鐒︾偣鍦 x 杞村緱 b/a=3/4 ,---锛2锛変互涓婁袱寮忚В寰 a^2=16,b^2=9 ,鎵浠,鎵姹鍙屾洸绾跨殑鏂圭▼涓 x^2/16-y^2/9=1 .
绛旓細涓嶅Θ璁句负F锛屾墍浠ユ牴鎹畾涔塎A=MF+2a 鎵浠A+MB=MB+MF+2a锛岃璁╄繖涓渶灏忥紝灏卞繀椤昏MB+MF鏈灏忥紝鏈灏忕殑鏃跺欏氨鏄瓑浜嶣F鐨勬椂鍊欙紝鎵浠ヨ繛鎺ュ渾B鐨勫渾蹇冿紙璁句负P锛変笌F锛屼笌鍙屾洸绾鍙虫敮鐨勪氦鐐瑰氨鏄疢锛孧P鐨勬柟绋鏄痽=鈭5-x 鐒跺悗鑱旂珛瑙ｅ嚭鐐筂鐨勫潗鏍囧嵆鍙傚笇鏈涘浣犳湁鎵甯姪锛佷笉鎳傝杩介棶锛佹眰濂借瘎锛
绛旓細B 璇曢鍒嗘瀽锛氫緷棰樻剰鐭ヨ繃宸︾劍鐐 涓旀枩鐜囦负 鐨勭洿绾夸负 锛屼笌 杞翠氦鐐逛负 锛屽洜涓 杞村钩鍒嗙嚎娈礔 1 P锛屾墍浠ョ偣P鍧愭爣涓 锛屾鐐瑰湪鍙屾洸绾夸笂锛屼唬鍏ュ弻鏇茬嚎鏂圭▼寰 鍙 浠ｅ叆鍙互姹傚緱鍙屾洸绾跨殑绂诲績鐜囦负 .鐐硅瘎锛氭湰棰樿冩煡浜嗗弻鏇茬嚎鐨勬ц川浠ュ強涓庣洿绾跨殑鍏崇郴锛屽叧閿槸鐢ㄥ惈鏈塩鐨勫紡瀛愯〃绀哄嚭鐐筽鐨勫潗鏍囷紝灞...
绛旓細鈭鍙屾洸绾跨殑涓鏉℃笎杩戠嚎鏂圭▼y=鈭2 x,涓涓劍鐐逛负(鈭3,0)鈭璁惧弻鏇茬嚎鏂圭▼ x^2/a^2-y^2/b^2=1 鈭碽/a=鈭2, c=鈭3 c^2=a^2+b^2 瑙ｅ緱锛歛=1,b=鈭2,c=鈭3 鈭村弻鏇茬嚎鏂圭▼鏄痻^2-y^2/2=1 2 y-1=k(x-1) 鍗硑=kx-(k-1) 浠ｅ叆x^2-y^2/2=1 2x^2-[kx-(k-1)]...
绛旓細鐒﹁窛 2c=2鈭5锛宑=鈭5锛宎²+b²=5锛涚劍鐐瑰湪x杞翠笂锛屾笎杩戠嚎鐢 x²/a²-y²/b²=0 寰 y=卤bx/a 鍏朵腑涓鏉′负 x-2y=0 鍗 y=(1/2)x=bx/a 鐢 a=2锛宐=1 姝ｅソ绗﹀悎a²+b²=5鐭²=4锛宐²=1 鎵浠ワ紝璇鍙屾洸绾挎柟绋鏄 x&#...
绛旓細鈭磡 F 1 A|路| F 1 B|=( x 1 +2)( x 2 +2)= x 1 x 2 + ( x 1 + x 2 )+4 (1)鍙屾洸绾跨殑鍙崇劍鐐逛负 F 2 ( ,0), (1)褰撶洿绾跨殑鏂滅巼瀛樺湪鏃惰鐩寸嚎AB鐨勬柟绋嬩负锛 y =k( x 鈹 )锛岀敱 娑堝幓 y 寰 (1鈹4k 2 ) x 2 +8 ...
绛旓細鏍规嵁鍙屾洸绾跨殑娓愯繎绾挎柟绋嬬殑鍏紡,缁撳悎棰樻剰寰,浠庤屽緱鍒,鍐嶇敱鍙屾洸绾垮熀鏈噺鐨勫钩鏂瑰叧绯荤畻鍑哄,鍗冲彲寰楀埌璇鍙屾洸绾跨殑鏂圭▼.瑙:鍙屾洸绾鏂圭▼涓,璇ュ弻鏇茬嚎鐨勬笎杩戠嚎鏂圭▼涓,鍙堝弻鏇茬嚎涓鏉℃笎杩戠嚎涓,鍙屾洸绾跨殑绂诲績鐜,鍗 ,寰,鍥犳,鍙屾洸绾挎柟绋嬩负 鏁呯瓟妗堜负:鏈缁欏嚭鍙屾洸绾跨殑娓愯繎绾垮拰绂诲績鐜囩殑鏉′欢,姹傚弻鏇茬嚎鐨勬柟绋,鐫閲嶈冩煡...
