一个有关圆锥曲线椭圆的内接圆、外接圆以及三点共线的问题，题目见图片，谢谢 如图，一道圆锥曲线椭圆的问题，题目及答案见图片，但答案上画波...
\u4e00\u9053\u6709\u5173\u5706\u9525\u66f2\u7ebf\u692d\u5706\u7684\u5185\u63a5\u5706\u3001\u5916\u63a5\u5706\u4ee5\u53ca\u4e09\u70b9\u5171\u7ebf\u7684\u95ee\u9898\uff0c\u9898\u76ee\u89c1\u56fe\u7247\uff0c\u8c22\u8c22\u8bbe\u692d\u5706C1\u7684\u957f\u8f74a, \u77ed\u8f74b
\u8bbeP0\u7684\u5750\u6807\u4e3a(m,n)
\u5219m,n\u6ee1\u8db3\uff1am^2/a^2 +n^2/b^2 =1
A\u70b9\u5750\u6807\u4e3a(m,yA), B\u70b9\u5750\u6807\u4e3a(xB,n), \u5176\u4e2d\u7684yA, xB\u5f85\u6c42
\u800c\uff0cyA=\u221a(a^2 -m^2) = a\u221a(1 - m^2/a^2) =a\u221a(n^2/b^2) =an/b
xB=\u221a(b^2 -n^2) =b\u221a(1 - n^2/b^2) =b\u221a(m^2/a^2) =bm/a
\u6240\u4ee5\uff0cOA\u7684\u659c\u7387=yA/m =an/(bm)
OB\u7684\u659c\u7387=n/xB =an/(bm)
\u6240\u4ee5\uff0cOA\u7684\u659c\u7387=OB\u7684\u659c\u7387
\u6240\u4ee5\uff0cO, A, B\u4e09\u70b9\u5171\u7ebf
\u5dee\u4e0d\u591a\u4e86\u5427
上图片
绛旓細璁妞渾C1鐨勯暱杞碼, 鐭酱b 璁綪0鐨勫潗鏍囦负(m,n)鍒檓,n婊¤冻锛歮^2/a^2 +n^2/b^2 =1 A鐐瑰潗鏍囦负(m,yA), B鐐瑰潗鏍囦负(xB,n), 鍏朵腑鐨剏A, xB寰呮眰 鑰岋紝yA=鈭(a^2 -m^2) = a鈭(1 - m^2/a^2) =a鈭(n^2/b^2) =an/b xB=鈭(b^2 -n^2) =b鈭(1 - n^2/b^2) =...
绛旓細涓婂浘鐗
绛旓細鍦ㄦき鍦嗕腑锛屼换鎰忎竴鐐筆涓庝袱涓劍鐐笷1鍜孎2鎵鏋勬垚鐨勪笁瑙掑舰锛岃绉颁负鐒︾偣涓夎褰傚煎緱娉ㄦ剰鐨勬槸锛孭鐐逛笉鍦ㄧ洿绾縁1F2涓婏紝鑰妞渾鐨勫唴鍒囧渾涓庤繖涓笁瑙掑舰绱у瘑鐩稿叧锛屽叾鍗婂緞r鎻愪緵浜嗛噸瑕佺殑鍑犱綍绾跨储銆傚鍥炬墍绀猴紝鐒︾偣涓夎褰笌鍐呭垏鍦嗙殑宸у缁撳悎锛屼负鎴戜滑鎻ず浜嗗叾鍛ㄩ暱鍜岄潰绉殑绉樺瘑銆傚嚑浣曞害閲忕殑鎺ㄥ 1. 鍛ㄩ暱鐒︾偣涓夎褰㈢殑鍛ㄩ暱C...
绛旓細璁惧渾P鐨勫崐寰勪负r 鍥犱负鍦哖涓庡渾C鐩鍐呭垏 鎵浠ュ渾蹇働鍒板渾蹇僀鐨勫间负R-r 鍥犱负鍦哖杩囩偣A 鎵浠ュ渾蹇働鍒扮偣A鐨勮窛绂讳负r 鍥犱负(R-r)+r=R(R涓哄畾鍊)鎵浠ュ渾蹇働鐨勮建杩逛负妞渾 娉細r涓嶆槸瀹氬硷紝鎵浠ヤ綘鍙互璁ㄨ鐪嬬湅涓嶄細鏄弻鏇茬嚎 杩欑被棰樼洰浣犲厛鐢诲浘鍐嶇湅鐪嬪氨鏄庣櫧浜 ...
绛旓細濡備笅鍥炬墍绀猴紝鏄剧劧鐐筽涓妞渾涓婁笅椤剁偣鏃讹紝涓夎褰鐨勫唴鍒囧渾闈㈢Н鏈澶э紝鍋囪涓婇《鐐逛负a锛屾牴鎹绉版э紝涓婁笅椤剁偣涓庝袱鐒︾偣缁勬垚鐨勪笁瑙掑舰鍏ㄧ瓑锛屽彧瑕佽冭檻涓婇《鐐逛笌涓ょ劍鐐圭粍鎴愮殑涓夎褰㈠嵆鍙
绛旓細鐢卞嬀鑲″畾鐞嗗緱AP^2=AM^2+PM^2=1+PM^2 浠庝笂寮忓彲浠ョ湅鍑哄綋AP鏈灏忔椂PM鏈灏 鑰孉姝ｅソ涓烘き鍦嗘湁銆佸彸鐒︾偣锛屾墍浠P鏈灏忎负5-3=2 鎵浠M鏈灏忓间负鈭3 锛2锛夎繖閲屾湁涓ょ鎯呭喌锛屼竴绉嶆槸鍦鍐呭垏浜庢き鍦 姝ゆ椂鍗婂緞涓2锛屽嵆A鍒妞渾鐨鏈灏忚窛绂 绗簩绉嶆槸鍦嗗鍒囦簬妞渾 姝ゆ椂鍗婂緞涓8锛屽嵆A鍒版き鍦嗙殑鏈澶ц窛绂 锛堝垏鐐...
绛旓細y1-y2=4t/锛坱²+3锛=4/(t+3/t)鈮4/2鈭(3t/t)=2鈭3/3 S螖F2AB=(1/2)锝淔1F2锝溌凤綔y1-y2锝=鈭3路锝測1-y2锝 鈭碨螖F2AB(max锛=鈭3路锝測1-y2锝渕ax=2 螖F2AB鐨勫懆闀:L=4a=8 璁撅細鍐呭垏鍦鍗婂緞涓簉 S螖F2AB=锛1/2)L路r 鈭磖锛坢ax锛=2S螖F2AB锛坢ax锛/L=4/8=1...
绛旓細涓旂蹇冪巼 锛岀偣 涓烘き鍦嗕笂鐨勪竴涓姩鐐癸紝 鐨勫唴鍒囧渾闈㈢Н鐨勬渶澶у间负 .(1) 姹妞渾鐨鏂圭▼锛(2) 鑻 鏄き鍦嗕笂涓嶉噸鍚堢殑鍥涗釜鐐癸紝婊¤冻鍚戦噺 涓 鍏辩嚎锛 涓 鍏辩嚎锛屼笖 锛屾眰 鐨勫彇鍊艰寖鍥. (1) ;(2) 璇曢鍒嗘瀽锛氭湰灏忛涓昏閫氳繃瀵圭洿绾夸笌鍦嗛敟鏇茬嚎涓き鍦嗙殑缁煎悎搴旂敤鐨勮冩煡锛屽叿浣撴秹鍙婂埌...
绛旓細楂樿冩暟瀛﹀父鐢ㄧ殑鍦嗛敟鏇茬嚎瀹氫箟 鈷堣嫢涓涓渾c1鍐呭惈浜庡彟涓涓渾c2锛屽垯涓庡ぇ鍦鍐呭垏涓庡皬鍦嗗鍒鐨勫渾鐨勫渾蹇冪殑杞ㄨ抗涓轰竴 妞渾锛屼袱鍦嗙殑鍦嗗績涓虹劍鐐癸紝鍏堕暱杞撮暱涓轰袱鍦嗗崐寰勪箣鍜岋紱 鈷夊湪涓涓渾鍐鏈変竴鐐癸紝鍒欒繃璇ョ偣涓斾笌宸茬煡鍦嗙浉鍒囩殑鍦嗙殑鍦嗗績鐨勭偣鐨勮建杩逛负涓妞渾锛屼笖鍏堕暱 杞撮暱涓哄凡鐭ュ渾鐨勫崐寰勩 鈷婅繃涓ょ偣鐨...
