经过点(-根号6,根号5)且与x^2/4+y^2/16=1有相同的焦点,求椭圆的标准方程
人气：226 ℃ 时间：2020-05-11 19:54:21
解答
c²=16-4=12
所以x²/b²+y²/(b²+12)=1
所以6/b²+5/(b²+12)=1
6b²+72+5b²=b^4+12b²
b^4+b²-72=(b²+9)(b²-8)=0
b²=8
x²/8+y²/20=1
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