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1.9有理数的乘方
一、夯实基础
1、（－3）4表示（ ）
A．－3×4 B．4个（－3）相加 C．4个（－3）相乘 D．3个（－4）相乘 2、－24表示（ ）
A．4个－2相乘 B．4个2相乘的相反数 C．2个－4相乘 D．2个4的相反数
3、计算－24=_____，
22=________． 34、在－32中，底数是________，指数是_______，意义是________． 二、能力提升
5、下列各组数中，相等的一组是（ ）
A．（－3）3与－33 B．（－3）2与－32 C．43与34 D．－32和－3+（－3） 6、下列各组的两个数中，运算后结果相等的是（ ） A．23和32 B．－42和（－4）2 C．－23和（－2）3
2323
D．（－）和－
337、平方等于它本身的数是_________,立方等于它本身的数是________． 8、平方等于
11的数是 ，立方等于的数是 ． 64649、一个数的15次幂是负数，那么这个数的2016次幂是 ． 10、计算: （1）－（－3）3 （2）（－ （3）（－
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三、课外拓展
11、问题:你能很快算出20152吗?
为了解决这个问题,我们考虑个位上的数字为5的自然数的平方,任意一个个位数是5的自然数的平方可写成(10n+5)2的值(n为自然数).请你试着分析n=1,n=2,n=3,…,这些简单情况,从中探索其规律,并归纳、猜想出结论(在下面空格内填上你的探索结果).
(1)通过计算,探索规律: 152=225可写成100×1×(1+1)+25, 252=625可写成100×2×(2+1)+25, 352=1225可写成100×3×(3+1)+25, 452=2025可写成100×4×(4+1)+25, ……
752=5625可写成 , 852=7225可写成 . (2)从第(1)题的结果,归纳、猜想得: (10n+5)2= .
(3)根据上面的归纳、猜想,请算出:20152= . 四、中考链接
12、（2015年重庆B卷改编）计算：-32+(-3)2=_____.
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参考答案
夯实基础 1、C 2、B 3、－16 －
4 34、3 2 2个3相乘的相反数 能力提升 5、A 6、C
7、0 1 ， 0 1 －1
1118、或?, 4889、正数 10、解：（1）27
9 168（3）－
27（2）课外拓展
11、解：(1)752=5625可写成:100×7×(7+1)+25, 852=7225可写成:100×8×(8+1)+25. (2)(10n+5)2=100×n×(n+1)+25. (3)20152=100×201×202+25=4060225. 中考链接 12、0
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北京课改版数学七上1.9《有理数的乘方》同步练习
