求一个分式线性映射[tex=3.286x1.357]ySGySJBkLne3ga0KuR9uXg==[/tex], 它将圆[tex=4.143x1.357]j/i77tFicZzOI+vXwa3/BA==[/tex]映到圆[tex=5.143x1.357]bn6M3+WaSxIiB2/GnqdRgFN9XXIvaScAGiDM3HmL05c=[/tex],且满足条件[tex=9.357x1.429]7LeQc82aqJBwP0caqbuyBRBlwVRFUFTi875epBeFcYEnpVPUowfLkRSVSJrH5Z5+[/tex]
举一反三
- 求分式线性映射[tex=3.286x1.357]ySGySJBkLne3ga0KuR9uXg==[/tex] 使上半平面映射为单位圆内部并满足条件: [tex=8.714x2.143]EMxD6yYtTke281Z3UhewbHRGOX2ILPZwwgeuzYF1MycjKMm2WkwpRKthgiYmWkpRG4AhmYYjUtTaI4UWM8xcNLWEWMoa+XWdAU7jKwaNaMw=[/tex][br][/br]
- 求把上半平面 [tex=4.286x1.357]Hxr+WAd0pdX8wRxoSXYGR6MH5wUJTcuJa9P72mFCl6M=[/tex] 映射成单位圆[tex=3.143x1.357]Sui1bthb4ZFDHMAA/H0Myw==[/tex] 的分式线性映射 [tex=3.286x1.357]ySGySJBkLne3ga0KuR9uXg==[/tex], 并满足条件: [tex=7.714x2.643]Dmx/EsnLqA3ztFqdAPz2UndqWE39Yw57I7W0E0gZnaMWn22Cr8SW8kKBEPicbqdC[/tex].
- 求把上半平面 [tex=4.286x1.357]Hxr+WAd0pdX8wRxoSXYGR6MH5wUJTcuJa9P72mFCl6M=[/tex] 映射成单位圆[tex=3.143x1.357]Sui1bthb4ZFDHMAA/H0Myw==[/tex] 的分式线性映射 [tex=3.286x1.357]ySGySJBkLne3ga0KuR9uXg==[/tex], 并满足条件:[tex=7.214x1.357]3W2me/Y9z6GwFbMOSA7PVX+VsUcD9tYYga8VkV4zT+4=[/tex].
- 求分式线性映射[tex=3.286x1.357]ySGySJBkLne3ga0KuR9uXg==[/tex] 使上半平面映射为单位圆内部并满足条件: [tex=8.071x1.429]uOwtH/9PIw1o7VPdvBTQh+A1cKLho1lY44v4VyjbeWPkGo2x7K4O++K8RyxRupdmfEoGjG0BXjSD1dkfS5MV1g==[/tex][br][/br]
- 求分式线性映射[tex=3.286x1.357]ySGySJBkLne3ga0KuR9uXg==[/tex] 使上半平面映射为单位圆内部并满足条件: [tex=8.214x1.571]T2uuhRPBAkcUAc6EcrdCGVXF85i9WBeZL9la9yL65klmk/Fj9WE6GG8Qf1xG85z0[/tex][br][/br]