C
分析:A、根据负指数的运算公式a
-p=
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(a≠0)计算得到结果,作出判断;
B、找出两分母a与b的最简公分母,通分后得出结果,作出判断;
C、把原式的分子利用平方差公式分解因式后,与分母约分即可得到结果,作出判断;
D、根据零指数的运算公式a
0=1(a≠0),计算得到结果,作出判断.
解答:A、
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=
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=-
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,本选项错误;
B、
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+
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=
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+
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=
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,本选项错误;
C、
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=
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=a+b,本选项正确;
D、
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=1,本选项错误,
故选C
点评:此题综合考查了分式的加法、乘法运算,负指数及零指数的运算,分式的加减法运算关键是通分,而通分的关键是找最简公分母;分式的乘除运算关键是约分,约分的关键是找分子分母的公约数,遇到分子分母中有多项式,应将多项式分解因式后再约分,另外要掌握负指数及零指数的运算公式.