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歡迎您訪問數學考題練習:+|-8|+()0+(-)-3-2tan60°!

數學考題練習:+|-8|+()0+(-)-3-2tan60°

更新時間:2024-01-12 16:37:31作者:貝語網校

+|-8|+()0+(-)-3-2tan60°.

試題答案

解:原式=+8+1+-2

=2+8+1-8-2

=(2-2)+(8-8)+1

=1.

試題解析

把第一項的被開方數12變為4×3,根據二次根式的乘法法則逆運算化為最簡二次根式,第二項根據絕對值的代數意義化簡,第三項根據零指數的定義化簡,第四項根據負指數的定義化簡,第五項利用特殊角的三角函數值化簡,利用加法的運算律把化為相反數的數結合后,即可求出值.

點評:本題考查實數的綜合運算能力,是各地中考題中常見的計算題型.解決此類題目的關鍵是熟練掌握負整數指數冪、零指數冪、二次根式、絕對值等考點的運算.其中負指數冪的定義為a-p=(a≠0);零指數冪的定義為a0=1(a≠0);絕對值的代數意義為:正數的絕對值等于它本身;負數的絕對值等于它的相反數;0的相反數還是0.

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