与双曲线x^2/9-y^2/16=1有相同的渐近线,且经过点A(-3,2根号3)的双曲线方程为
人气:144 ℃ 时间:2020-05-15 15:32:39
解答
依题意可设双曲线方程为:
x^2/9k^2-y^2/16k^2=1(k不为0)
将A(-3,2根号3)代入上式,可得
1/k^2-12/16k^2=1
k^2=1/4
k=±1/2
代入即可得2个方程.
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