先化简,再求值:(a-a2a-1)÷a2-2aa2-4×1a+2,其中a=3+1.-数学

题目简介

先化简,再求值:(a-a2a-1)÷a2-2aa2-4×1a+2,其中a=3+1.-数学

题目详情

先化简,再求值:(a-
a2
a-1
a2-2a
a2-4
×
1
a+2
,其中a=
3
+1
题型:解答题难度:中档来源:不详

答案

(a-
a2
a-1
)÷
a2-2a
a2-4
×class="stub"1
a+2

=
a2-a-a2
a-1
÷
a(a-2)
(a+2)(a-2)
×class="stub"1
a+2

=-class="stub"a
a-1
×
(a+2)(a-2)
a(a-2)
×class="stub"1
a+2

=-class="stub"1
a-1

当a=
3
+1时,原式=-class="stub"1
3
+1-1
=-
3
3

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