先化简再求值:(1-1/2)除以x²-2x+1/x²-1,其中x=2
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/01 04:13:45
![先化简再求值:(1-1/2)除以x²-2x+1/x²-1,其中x=2](/uploads/image/z/7125914-2-4.jpg?t=%E5%85%88%E5%8C%96%E7%AE%80%E5%86%8D%E6%B1%82%E5%80%BC%3A%281-1%2F2%29%E9%99%A4%E4%BB%A5x%26%23178%3B-2x%2B1%2Fx%26%23178%3B-1%2C%E5%85%B6%E4%B8%ADx%3D2)
先化简再求值:(1-1/2)除以x²-2x+1/x²-1,其中x=2
先化简再求值:(1-1/2)除以x²-2x+1/x²-1,其中x=2
先化简再求值:(1-1/2)除以x²-2x+1/x²-1,其中x=2
原式=1/2÷(x-1)²/(x+1)(x-1)
=1/2÷(x-1)/(x+1)
=1/2×(x+1)/(x-1)
=(x+1)/(2x-2)
=(2+1)/(4-2)
=3/2