先化简,再求值:【x/(x-2)+x/(x+2)】÷4x/(x-2),其中x=2007谢谢啦~~~~~~~~~~~

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/03 03:12:10
先化简,再求值:【x/(x-2)+x/(x+2)】÷4x/(x-2),其中x=2007谢谢啦~~~~~~~~~~~

先化简,再求值:【x/(x-2)+x/(x+2)】÷4x/(x-2),其中x=2007谢谢啦~~~~~~~~~~~
先化简,再求值:【x/(x-2)+x/(x+2)】÷4x/(x-2),其中x=2007
谢谢啦~~~~~~~~~~~

先化简,再求值:【x/(x-2)+x/(x+2)】÷4x/(x-2),其中x=2007谢谢啦~~~~~~~~~~~
【x/(x-2)+x/(x+2)】÷4x/(x-2)
=(x²-2x+x²+2x)/[(x-2)(x+2)]×(x-2)/4x
=2x²/[(x-2)(x+2)]×(x-2)/4x
=x/2(x+2)
把x=2007代入
原式=2007/4018

x(x+2+x-2)/(x+2)(x-2)乘(x-2)/4x
=2x²/(x+2)(x-2)乘(x-2)/4x
=x/[2(x+2)]
=2007/(2×2009)
=2007/4018