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文 [1 ]探讨了直线方程ｘ0 ｘａ2 +ｙ0 ｙｂ2 =1的三种几何意义 ,读后深受启发 ,作为文 [1 ]的继续本文探讨直线方程ｘ0 ｘａ2 -ｙ0 ｙｂ2 =1的几何意义 .定理 1 若点Ｐ(ｘ0 ,ｙ0 )在双曲线ｘ2ａ2 -ｙ2ｂ2 =1上 ,则直线ｘ0 ｘａ2 -ｙ0 ｙｂ2 =1是经过点Ｐ的双曲线的切线 .这只
The paper [1] discusses the three geometric meanings of the linear equation x0 xa2 +y0 yb2 =1, and is deeply enlightened after reading. As a continuation of the paper [1] the paper discusses the geometric meaning of the linear equation x0 xa2 -y0 yb2 =1. 1 If the point P (x0, y0) is on the hyperbola x2a2 -y2b2 =1, then the line x0 xa2 -y0 yb2 =1 is the tangent of the hyperbola passing through the point P.