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椭圆的形状9x^2+y^2=36与x^2/16+y^2/12=1哪一个更圆,哪个一更椭
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椭圆的形状9x^2+y^2=36与x^2/16+y^2/12=1哪一个更圆,哪个一更椭
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答案和解析
9x^2+y^2=36
x^2/4+y^2/36=1
a^2=36,b^2=4 c^2=32
a=6,b=2,c=4√2
e=c/a=2√2/3
x^2/16+y^2/12=1
a1^2=16,b1^2=12,c1^2=4
a1=4,b1=2√3,c1=2
e1=c1/a1=1/2
e>e1,9x^2+y^2=36更椭,x^2/16+y^2/12=1更圆
x^2/4+y^2/36=1
a^2=36,b^2=4 c^2=32
a=6,b=2,c=4√2
e=c/a=2√2/3
x^2/16+y^2/12=1
a1^2=16,b1^2=12,c1^2=4
a1=4,b1=2√3,c1=2
e1=c1/a1=1/2
e>e1,9x^2+y^2=36更椭,x^2/16+y^2/12=1更圆
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