求把上半平面 [tex=3.714x1.071]gTZHdCeU5l1aCfxewscMQQ5WaHXHYdAvgh0HoTQA2CA=[/tex] 映射为单位圆 [tex=3.143x1.357]aPOOt2soTMbyWi3H3vczCA==[/tex] 的分式线性映射 [tex=3.286x1.357]AQhvwmYnVhXPQa9e6WrGoA==[/tex] , 并满足条件:[tex=7.214x1.357]b4hwu7ywNuIKQo/RTYFVZQyPksgG4R8T5EJBI6NKsb8=[/tex]
举一反三
- 求把上半平面 [tex=3.714x1.071]gTZHdCeU5l1aCfxewscMQQ5WaHXHYdAvgh0HoTQA2CA=[/tex] 映射为单位圆 [tex=3.143x1.357]aPOOt2soTMbyWi3H3vczCA==[/tex] 的分式线性映射 [tex=3.286x1.357]AQhvwmYnVhXPQa9e6WrGoA==[/tex] , 并满足条件:[p=align:center][tex=8.214x1.429]5sppDSDoeRctVSiZSHaR9lEbaFUbnaCk4pK44BT6jTUSAxAqRF8YG8FQYLKy2idS[/tex]
- 求分式线性映射[tex=3.286x1.357]AQhvwmYnVhXPQa9e6WrGoA==[/tex],使上半平面映射为单位圆内部并满足条件[tex=7.0x1.357]C4AaF2CqxrpfMNLJcYYLVyDXZNo+dxMTE51KZ19h38A=[/tex].
- 求分式线性映射[tex=3.286x1.357]AQhvwmYnVhXPQa9e6WrGoA==[/tex],使上半平面映射为单位圆内部并满足条件[tex=8.143x1.429]UiUEh71niTJbnyfqEPJs177z+2ICPlZ4cwrXxnysM6r0KrdfyHWja8vsX+1B5CNd[/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]AQhvwmYnVhXPQa9e6WrGoA==[/tex],使上半平面映射为单位圆内部并满足条件[tex=8.143x1.571]PzP9bEuqS63uxhwsiIioTCfO4i/7Q4FOYv9pI5AzvK0=[/tex].