Question

計(jì)算：

8

-2cos45°+（2-π）⁰-（

1

3

）^-1-|1-

2

|

Answer 1

分析：分別根據(jù)0指數(shù)冪及負(fù)整數(shù)指數(shù)冪的計(jì)算法則、特殊角的三角函數(shù)值、絕對(duì)值的性質(zhì)計(jì)算出各數(shù)，再根據(jù)實(shí)數(shù)混合運(yùn)算的法則進(jìn)行計(jì)算即可．

解答：解：原式=2

2

-2×

2

2

+1-3-

2

+1
=2

2

-

2

+1-3-

2

+1
=-1．

點(diǎn)評(píng)：本題考查的是實(shí)數(shù)的運(yùn)算，熟知0指數(shù)冪及負(fù)整數(shù)指數(shù)冪的計(jì)算法則、特殊角的三角函數(shù)值、絕對(duì)值的性質(zhì)是解答此題的關(guān)鍵．