与双曲线共焦点的椭圆方程怎样表示
若椭圆方程为x^2/a^2+y^2/b^2=1,则与它共焦点的双曲线方程可设为： x^2/(a^2-m)+y^2/(b^2-m)=1；
若双曲线方程为x^2/a^2-y^2/b^2=1,则与它共焦点的椭圆方程
可设为： x^2/(a^2-m)-y^2/(b^2-m)=1
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绛旓細x^2/(25-m)+y^2/(9-m)=1
绛旓細绠鍗曞垎鏋愪竴涓嬶紝绛旀濡傚浘鎵绀
绛旓細鑻ユき鍦嗘柟绋嬩负x^2/a^2+y^2/b^2=1,鍒欎笌瀹冨叡鐒︾偣鐨勫弻鏇茬嚎鏂圭▼ 鍙涓猴細 x^2/(a^2-m)+y^2/(b^2-m)=1锛涜嫢鍙屾洸绾挎柟绋嬩负x^2/a^2-y^2/b^2=1,鍒欎笌瀹鍏辩劍鐐圭殑妞渾鏂圭▼ 鍙涓猴細 x^2/(a^2-m)-y^2/(b^2-m)=1 閬撶悊寰堢畝鍗曞憖锛屽氨鏄悊瑙ｆき鍦鍜屽弻鏇茬嚎鐨勫畾涔夊強鏍囧噯鏂圭▼鐨...
绛旓細c=鈭(49-37)=2鈭3 |F1F2|=2c=4鈭3 浣犺嚜宸辨妸棰樼洰鍐欓敊浜 1銆鐒︾偣鐩稿悓锛岀劍璺濈浉绛夛紝c鏄浉绛夌殑c=鈭3 鍥犳锛屼簩鑰卆涔嬫瘮涓7:3锛屼簩鑰卆涔嬪樊涓4 鏁咃紝妞渾鐨刟=7锛屽弻鏇茬嚎a=3 杩欏彲鑳戒箞锛鍙屾洸绾跨殑a锛瀋锛屾暟鎹槸涓嶆槸鎼為敊浜 鎴戝厛涓嶇浣犻鐩暟鎹紝灏辨寜浣犺鐨勭瓟妗堝仛绗簩闂 鏍规嵁妞渾瀹氫箟|PF1|+|P...
绛旓細涓庡弻鏇茬嚎x^2/a^2-y^2/b^2=1(a>0,b>0)鏈夊叕鍏鐒︾偣鐨鍙屾洸绾跨殑鏍囧噯鏂圭▼鏄 x^2/m^2-y^2/(a^2+b^2-m^2)=1(0<m<鈭(a^2+b^2)).
绛旓細鍙屾洸绾c'=5 鐒︾偣鍦▂杞 y²/b'²-x²/a'²=1 b'²=25-a'²y²/(25-a'²)-x²/a'²=1 杩(3,4)16/(25-a'²)-9/a'²=1 16a'²-225+9a'²=25a'²-a'^4 a'^4=225 a'²=15 b...
绛旓細妞渾涓庡弻鏇茬嚎鏈夊叕鍏鐒︾偣锛屽嵆鏈 m^2-1=n^2+1=c^2锛屽嵆m^2-n^2=2, m^2+n^2=2(m^2-1)P涓轰氦鐐癸紝鍒欐湁 妞渾鏂圭▼锛歺^2/m^2+y^2=1 (1)鍙屾洸绾挎柟绋嬶細x^2/n^2-y^2=1 (2)(1)*m^2-(2)*n^2锛屽彲寰 (m^2+n^2)y^2=m^2-n^2 2(m^2-1)y^2=2 |y(P)|=...
绛旓細鍙屾洸绾x^2-4y^2=4鍗硏^2/4-y^2=1鐨鐒︾偣涓(鍦熲垰5,0),鈭磋鎵姹妞渾鏂圭▼涓簒^2/a^2+y^2/(a^2-5)=1,a^2>5,瀹冭繃鐐(3,-2),鈭9/a^2+4/(a^2-5)=1,鍘诲垎姣嶅緱 9(a^2-5)+4a^2=a^4-5a^2,鏁寸悊寰梐^4-18a^2+45=0,瑙ｅ緱a^2=15,鈭存墍姹傛き鍦嗘柟绋嬩负x^2/15+y^2/10...
绛旓細鐢妞渾鏂圭▼寰楃劍鐐瑰潗鏍囦负(0,卤3) ,妞渾涓庡弻鏇茬嚎鐨涓涓氦鐐逛负璁炬墍姹傜殑...鎹瓟鏂规牸涓撳鏉冨▉鍒嗘瀽,璇曢鈥滆鍙屾洸绾夸笌妞渾鏈夊叡鍚岀殑鐒︾偣,涓斾笌妞渾鐩镐氦
