Question

（2009•肇慶）計(jì)算：|-|+（-）^-1sin45°+（．

Answer 1

【答案】分析：根據(jù)特殊角的三角函數(shù)值，非0實(shí)數(shù)的0次冪，絕對(duì)值的性質(zhì)，非0實(shí)數(shù)的負(fù)整數(shù)次冪計(jì)算．
解答：解：原式=-×+1
=-+1
=1．
點(diǎn)評(píng)：本題考查特殊角三角函數(shù)值的計(jì)算，sin45°=cos45°；非0實(shí)數(shù)的0次冪等于1；非0實(shí)數(shù)的負(fù)整數(shù)次冪等于實(shí)數(shù)整數(shù)次冪的倒數(shù)；一個(gè)正數(shù)的絕對(duì)值是它本身，一個(gè)負(fù)數(shù)的絕對(duì)值是它的相反數(shù)，0的絕對(duì)值是0．