Question

2．計(jì)算：（π-2014）⁰-|$\sqrt{5}$-3|+（-$\frac{1}{3}$）^-2-$\sqrt{5}$．

Answer 1

分析 根據(jù)零指數(shù)冪、負(fù)整數(shù)指數(shù)冪、絕對(duì)值可以解答本題．

解答 解：（π-2014）⁰-|$\sqrt{5}$-3|+（-$\frac{1}{3}$）^-2-$\sqrt{5}$
=1-（3-$\sqrt{5}$）+9-$\sqrt{5}$
=1-3+$\sqrt{5}$+9-$\sqrt{5}$
=7．

點(diǎn)評(píng) 本題考查實(shí)數(shù)的運(yùn)算、零指數(shù)冪、負(fù)整數(shù)指數(shù)冪、絕對(duì)值，解答本題的關(guān)鍵是明確它們各自的計(jì)算方法．