x^2+2y^2+z^2+2kxz=1表示一单叶双曲面,则k满足条件过程或者思路 急……
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x^2+2y^2+z^2+2kxz=1表示一单叶双曲面,则k满足条件过程或者思路急……x^2+2y^2+z^2+2kxz=1表示一单叶双曲面,则k满足条件过程或者思路急……x^2+2y^2+z^2+2
x^2+2y^2+z^2+2kxz=1表示一单叶双曲面,则k满足条件过程或者思路 急……
x^2+2y^2+z^2+2kxz=1表示一单叶双曲面,则k满足条件
过程或者思路 急……
x^2+2y^2+z^2+2kxz=1表示一单叶双曲面,则k满足条件过程或者思路 急……
x^2 + 2y^2 + z^2 + 2kxz
= x^2 + 2kxz + (kz)^2 + 2y^2 + (1-k^2)z^2
= (x+kz)^2 + 2y^2 + (1-k^2)z^2 = 1
双曲面,
|k| > 1.
单叶,.
奇怪.
|k| > 1时,(x+kz)^2 + 2y^2 + (1-k^2)z^2 = 1 总是双叶的双曲面啊.
难道要 |k| = 1.
但 |k| = 1时,(x+kz)^2 + 2y^2 + (1-k^2)z^2 = (x+z)^2 + 2y^2 = 1
是1个椭圆啊,倒是单叶的.但绝不是双曲面.
|k| < 1时,(x+kz)^2 + 2y^2 + (1-k^2)z^2 = 1 也是1个椭圆.
x^2+2y^2+z^2+2kxz=1表示一单叶双曲面,则k满足条件过程或者思路 急……
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