2019高考数学总复习第二章基本初等函数(Ⅰ)2.1.1指数与指数幂的运算(第二课时)同步练习新人教A版必修1.doc

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1、12.1.1 指数与指数幂的运算(第二课时)一、选择题1有下列各式: ;若 aR,则(a 2a1) 01; ; .其中正确的个数是( )A 0 B 1C 2 D 3【答案】B2 可化为( )A B C D【答案】C【解析】当根式化为分数指数幂时,注意分子与分母, .考点:根式与分数指数幂的互化3当 有意义时,化简 的结果是( )A1 B 2x1 C2x5 D52x【答案】A【解析】由题意知 ,即 ,原式=,故选 A.考点:根式化简4若 ,则 等于 ( )2A、 B、 C、 D、【答案】B【解析】由 知, 即 ,所以 ,答案选 B5化简 的结果是( )AB CD【答案】A【解析】原式= .考点:

2、分数指数幂求值6若 则化简 的结果是( )A B C D【答案】B考点:根式的化简2、填空题7计算:(2) 3 (1) 0_【答案】3 【解析】原式 ,填3.8( 2) 2 2 2 _【答案】 3【解析】 1,2 2 41,又 2 0, (2 )2 2 , 原式2 11 .9已知 则 =_.【答案】考点:根式与分数指数幂的互化10计算:【答案】6【解析】原式= = =6 3、解答题11计算:(1) ;(2) 【答案】 (1) (2)100【解析】试题分析:(1)利用指数幂的运算性质即可得出;(2)利用指数幂的运算性质即可得出.试题解析:4(1)原式 (2)原式12化简下列各式(式中字母都是正数):(1) (2)【答案】(1)24 (2)考点:分数指数幂化简

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