求与双曲线x^2/16-y^2/9=1有公共渐近线,且经过点a(2根号3,-3)的双曲线的一个焦点到一条渐进线的距离?
人气:201 ℃ 时间:2019-08-19 08:29:18
解答
双曲线:x²/16-y²/9=β 因为双曲线经过点A,所以(2√3)²/16-(-3)²/9=β,得到β=-1/4所以双曲线:y²/(9/4)-x²/4=1c=√(a²+b²)=√(9/4+4)=5/2 F2=(0,5/2)渐近线:3x-4y=0...
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