先化简,再求值:x-1x+2÷x2-2x+1x2-4+2x-1,其中x=2.-数学

题目简介

先化简,再求值:x-1x+2÷x2-2x+1x2-4+2x-1,其中x=2.-数学

题目详情

先化简,再求值:
x-1
x+2
÷
x2-2x+1
x2-4
+
2
x-1
,其中x=2.
题型:解答题难度:中档来源:不详

答案

原式=class="stub"x-1
x+2
x2-4
x2-2x+1
+class="stub"2
x-1

=class="stub"x-1
x+2
(x+2)(x-2)
(x-1)2
+class="stub"2
x-1

=class="stub"x-2
x-1
+class="stub"2
x-1

=class="stub"x-2+2
x-1

=class="stub"x
x-1

当x=2时,原式=class="stub"2
2-1
=2.

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