设双曲线x²/a² - y²/b² =1 (a>0,b>0)有一条渐近线过(2,-4)c为半焦距,则c/a=? 要过程谢谢
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![设双曲线x²/a² - y²/b² =1 (a>0,b>0)有一条渐近线过(2,-4)c为半焦距,则c/a=? 要过程谢谢](/uploads/image/z/11504186-26-6.jpg?t=%E8%AE%BE%E5%8F%8C%E6%9B%B2%E7%BA%BFx%26%23178%3B%2Fa%26%23178%3B+-+y%26%23178%3B%2Fb%26%23178%3B+%3D1+%EF%BC%88a%3E0%2Cb%3E0%EF%BC%89%E6%9C%89%E4%B8%80%E6%9D%A1%E6%B8%90%E8%BF%91%E7%BA%BF%E8%BF%87%EF%BC%882%2C-4%EF%BC%89c%E4%B8%BA%E5%8D%8A%E7%84%A6%E8%B7%9D%2C%E5%88%99c%2Fa%3D%3F++%E8%A6%81%E8%BF%87%E7%A8%8B%E8%B0%A2%E8%B0%A2)
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设双曲线x²/a² - y²/b² =1 (a>0,b>0)有一条渐近线过(2,-4)c为半焦距,则c/a=? 要过程谢谢
设双曲线x²/a² - y²/b² =1 (a>0,b>0)有一条渐近线过(2,-4)
c为半焦距,则c/a=? 要过程谢谢
设双曲线x²/a² - y²/b² =1 (a>0,b>0)有一条渐近线过(2,-4)c为半焦距,则c/a=? 要过程谢谢
-b/a=-4/2=-2
b=2a
b²=4a²
c²-a²=4a²
c=√5a
e=c/a=√5a