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椭圆离心率e和斜率k的关系
更新时间: 2021-04-01 12:35:25  

在双曲线中,e=c/a,而a^2+b^2=c^2,所以b/a=√(c^2-a^2)/a=√(c^2/a^2-1)=√(e^2-1),所以e越大,b/a也越大,即渐近线y=±b/a*x的斜率k的绝对值越大,这时双曲线的形状就从扁狭逐渐变得开阔,由此可知,双曲线的离心率越大,它的开口就越阔。

关键词: 椭圆 心率 斜率 关系

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