总述：本次共解1题。其中
☆方程1题
〖 1/1方程〗
作业：求方程 (1-x)（1-x）+[2/(1-x)][2/(1-x)] = [x-2/(1-x)][x-2/(1-x)] 的解.
题型：方程
解:原方程：| | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | = | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
去掉方程左边的一个括号：
| | 1 | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | = | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
去掉方程右边的一个括号：
| | 1 | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | = | x | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | − | 2 | ÷ | ( | 1 | − | x | ) | × | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
| | 1 | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | = | x | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
去掉方程左边的一个括号：
| | 1 | × | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | = | x | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
去掉方程右边的一个括号：
| | 1 | × | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | = | x | x | ( | 1 | − | x | ) | − | x | × | 2 | ÷ | ( | 1 | − | x | ) | × | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
方程化简为：
| | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) | = | x | x | ( | 1 | − | x | ) | − | x | × | 2 | ÷ | ( | 1 | − | x | ) | × | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) |
| | 1 | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | ( | 1 | − | x | ) | + | ( | 2 | ÷ | ( | 1 | − | x | ) | ) | = | x | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | × | 2 | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) |
去掉方程左边的一个括号：
| | 1 | × | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | = | x | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | × | 2 | ( | 1 | − | x | ) | − | 2 | ( | x | − | 2 | ÷ | ( | 1 | − | x | ) | ) | ( | 1 | − | x | ) |
去掉方程右边的一个括号：
| | 1 | × | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | = | x | x | × | 1 | ( | 1 | − | x | ) | − | x | x | x | ( | 1 | − | x | ) | − | x | × | 2 | ( | 1 | − | x | ) | − | 2 |
方程化简为：
| | 1 | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | = | x | x | × | 1 | ( | 1 | − | x | ) | − | x | x | x | ( | 1 | − | x | ) | − | x | × | 2 | ( | 1 | − | x | ) | − | 2 |
去掉方程左边的一个括号：
| | 1 | × | 1 | − | 1 | x | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | = | x | x | × | 1 | ( | 1 | − | x | ) | − | x | x | x | ( | 1 | − | x | ) | − | x | × | 2 | ( | 1 | − | x | ) | − | 2 |
去掉方程右边的一个括号：
| | 1 | × | 1 | − | 1 | x | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | = | x | x | × | 1 | × | 1 | − | x | x | × | 1 | x | − | x | x | x | ( | 1 | − | x | ) |
方程化简为：
| | 1 | − | 1 | x | − | 1 | x | ( | 1 | − | x | ) | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | ( | 1 | − | x | ) | − | x |
去掉方程左边的一个括号：
| | 1 | − | 1 | x | − | 1 | x | × | 1 | + | 1 | x | x | − | 1 | x | ( | 1 | − | x | ) | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | ( | 1 | − | x | ) | − | x |
去掉方程右边的一个括号：
| | 1 | − | 1 | x | − | 1 | x | × | 1 | + | 1 | x | x | − | 1 | x | ( | 1 | − | x | ) | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
方程化简为：
| | 1 | − | 1 | x | − | 1 | x | + | 1 | x | x | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
方程化简为：
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | ( | 1 | − | x | ) | ( | 1 | − | x | ) | − | x | ( | 1 | − | x | ) | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
去掉方程左边的一个括号：
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | × | 1 | ( | 1 | − | x | ) | + | 1 | x | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
去掉方程右边的一个括号：
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | × | 1 | ( | 1 | − | x | ) | + | 1 | x | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
方程化简为：
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | ( | 1 | − | x | ) | + | 1 | x | x | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
去掉方程左边的一个括号：
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | × | 1 | + | 1 | x | x | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
去掉方程右边的一个括号：
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | × | 1 | + | 1 | x | x | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
方程化简为：
| | 1 | − | 2 | x | + | 1 | x | x | − | 1 | x | + | 1 | x | x | + | 1 | = | x | x | × | 1 | − | x | x | × | 1 | x | − | x | x | x | × | 1 | + | x |
有 0个解。
解程的详细方法请参阅：《方程的解法》
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