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Yahoo!奇摩知識+ - 分類問答 - 科學常識 - 發問中
求雙曲線範圍
Jun 17th 2013, 17:06

⒈(1)方程式(k-2)x^2+y^2=k+3,表焦點在y軸上的雙曲線,求k值範圍?
(2)若x^2/(t+1)+y^2/(2t^2-4)=1表雙曲線,求t之範圍
(3)x^2/(t-4)+y^2/(t-3)=1表雙曲線,求t之範圍
(4)x^2/(t^2+2t-3)+(y-1)^2/(2t^2-3t-5)=1表雙曲線,求t之範圍
(5)x^2/(4-k)+y^2/(k-1)=1表雙曲線,且焦點在y軸上,求k之範圍

⒉F(3,1),F'(-1,2),P為平面上之任ㄧ點,令R為|PF-PF'|=k之圖形
(1)若R為雙曲線,則k之範圍為?。(2)若R為二射線,則k之範圍為?
(3)若R沒有圖形,則k之範圍為?。 (4)若R為一直線,則k之範圍為?

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