写出合适下列条件的椭圆的标准方程(1)a=4,焦点为F1(-3,0);F2(3,0)(2)a=4,焦点为F1(0,-3);F2(0,3)(3)b=1,焦点为F1(-根号15,0);F2(根号15,0)(4)中心在原点,焦点在y轴上,且a=6,焦距=4根号2求下列椭圆的焦点与焦距(
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![写出合适下列条件的椭圆的标准方程(1)a=4,焦点为F1(-3,0);F2(3,0)(2)a=4,焦点为F1(0,-3);F2(0,3)(3)b=1,焦点为F1(-根号15,0);F2(根号15,0)(4)中心在原点,焦点在y轴上,且a=6,焦距=4根号2求下列椭圆的焦点与焦距(](/uploads/image/z/11959299-27-9.jpg?t=%E5%86%99%E5%87%BA%E5%90%88%E9%80%82%E4%B8%8B%E5%88%97%E6%9D%A1%E4%BB%B6%E7%9A%84%E6%A4%AD%E5%9C%86%E7%9A%84%E6%A0%87%E5%87%86%E6%96%B9%E7%A8%8B%281%29a%3D4%2C%E7%84%A6%E7%82%B9%E4%B8%BAF1%28-3%2C0%29%3BF2%283%2C0%29%282%29a%3D4%2C%E7%84%A6%E7%82%B9%E4%B8%BAF1%280%2C-3%29%3BF2%280%2C3%29%283%29b%3D1%2C%E7%84%A6%E7%82%B9%E4%B8%BAF1%28-%E6%A0%B9%E5%8F%B715%2C0%29%3BF2%28%E6%A0%B9%E5%8F%B715%2C0%29%284%29%E4%B8%AD%E5%BF%83%E5%9C%A8%E5%8E%9F%E7%82%B9%2C%E7%84%A6%E7%82%B9%E5%9C%A8y%E8%BD%B4%E4%B8%8A%2C%E4%B8%94a%3D6%2C%E7%84%A6%E8%B7%9D%3D4%E6%A0%B9%E5%8F%B72%E6%B1%82%E4%B8%8B%E5%88%97%E6%A4%AD%E5%9C%86%E7%9A%84%E7%84%A6%E7%82%B9%E4%B8%8E%E7%84%A6%E8%B7%9D%28)
写出合适下列条件的椭圆的标准方程(1)a=4,焦点为F1(-3,0);F2(3,0)(2)a=4,焦点为F1(0,-3);F2(0,3)(3)b=1,焦点为F1(-根号15,0);F2(根号15,0)(4)中心在原点,焦点在y轴上,且a=6,焦距=4根号2求下列椭圆的焦点与焦距(
写出合适下列条件的椭圆的标准方程
(1)a=4,焦点为F1(-3,0);F2(3,0)
(2)a=4,焦点为F1(0,-3);F2(0,3)
(3)b=1,焦点为F1(-根号15,0);F2(根号15,0)
(4)中心在原点,焦点在y轴上,且a=6,焦距=4根号2
求下列椭圆的焦点与焦距
(1)x^2/25+y^2/16=1
(2)x^2/144+y^2/169=1
(3)2x^2+y^2=8
(4)3x^2+4y^2=12
写出合适下列条件的椭圆的标准方程(1)a=4,焦点为F1(-3,0);F2(3,0)(2)a=4,焦点为F1(0,-3);F2(0,3)(3)b=1,焦点为F1(-根号15,0);F2(根号15,0)(4)中心在原点,焦点在y轴上,且a=6,焦距=4根号2求下列椭圆的焦点与焦距(
A:1) b=√(16-9)=√7 方程:x²/16+y²/7=1
2) b=√7 x²/7+y²/16=1
3) a=√(225+1)=√226 方程:x²/226+y²=1
4) c=2√2 b=√(36-8)=2√7 方程:x²/28+y²/36=1
B:1) c=√(25-16)=3 ∴F1(-3,0) F2(3,0) 2c=2*3=6
2) c=√(169-144)=5 ∴ F1(0,-5) F2(0,5) 2c=10 焦距为10
3)c=√(8-4)=2 ∴F1(0,-2) F2(0,2) 2c=4 焦距为4
4)a=2 b=√3 c=√(4-3)=1 ∴F1(-1,0) F2(1,0) 2c=2 焦距为2.