本文应用矩阵的运算,给出求二次曲面的切平面方程的一个筒单方法。
From this paper, the equations of tangent planes of a quadratic surface are obtained by matrix operations.
求切平面方程的一般方法是先求切平面的法向量(借助偏导),再用点法式写出切平面的方程。
The common method to quadric surface equation is to get the Normal Component first, and then write out the equation through dot method.
这就是切平面的方程。
当然也有另一种方法,就是用参数方程表示这两条直线,用两条直线的方向向量作外积,从而得到切平面的法向量。
Another way to do it, of course, would provide actually parametric equations of these lines, get vectors along them and then take the cross-product to get the normal vector to the plane.
然后利用法向量得出切平面的方程。
And then get this equation for the plane using the normal vector.
然后利用法向量得出切平面的方程。
And then get this equation for the plane using the normal vector.
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