閱讀并按要求完成各題.
(1)在化簡數(shù)學公式的過程中,小王和小李的化簡結果不一樣:
小王的化簡過程如下:
原式=數(shù)學公式=數(shù)學公式=數(shù)學公式
小李的化簡過程如下:
原式=數(shù)學公式=數(shù)學公式=數(shù)學公式
請判斷誰的化簡結果正確,并說明理由.
(2)已知數(shù)學公式,求數(shù)學公式數(shù)學公式的值.(結果保留根號)

解:(1)小李的化簡結果正確.理由如下:
=|-|=-;
(2)x====-1,
原式=
=,
當x=-1時,原式==3+
分析:(1)根據(jù)二次根式的性質得到=|-|=-,由此可判斷小李的化簡結果正確.
(2)理由(1)的方法可化簡x得到x=-1,再對分式進行通分、約分得到原式=,然后把x的值代入后解分母有理化即可.
點評:本題考查了二次根式的化簡求值:先化簡再代入求值;二次根式運算的最后,注意結果要化到最簡二次根式,二次根式的乘除運算要與加減運算區(qū)分,避免互相干擾.也考查了分式的化簡求值.
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