同底数幂的乘法经典题型归纳.doc

<p>同底数幂的乘法经典题型归纳
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;
你发现了什么？
&nbsp; &nbsp; 计算下列各式：你能发现什么？
&nbsp; &nbsp;（1）22×23= &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;（2）24×25=
&nbsp; &nbsp; &nbsp; &nbsp;(3)102×103= &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (4)105×108=
&nbsp; &nbsp; (5)10m×10n= &nbsp; &nbsp; &nbsp; &nbsp; (m,n都是正整数）

知识点一：am×an=a( &nbsp; &nbsp;) (m,n都是正整数），同底数幂相乘，底数 &nbsp; &nbsp; &nbsp; &nbsp;，指数 &nbsp; &nbsp; &nbsp; &nbsp;。
【典型例题】
1、计算：
（1） &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; （2） &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;
（3） &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; （4）(x-y)5= &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;

知识点二：am×an×ap=a( &nbsp; &nbsp; &nbsp; &nbsp;) (m,n，p都是正整数） &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; am×an×······×ap=a( &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;）(m,n······,p都是正整数）
【典型例题】
1、计算：
（1） &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; （2） = &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;
（3） &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; （4）100×= &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;
同底数幂的乘法类型题
经典类型题一：1、计算所得的结果是（ &nbsp; &nbsp;） &nbsp;
&nbsp; &nbsp; A. &nbsp; &nbsp; &nbsp; B. &nbsp; &nbsp; &nbsp; &nbsp;C. &nbsp; &nbsp; &nbsp; &nbsp;D.
2、 = &nbsp; &nbsp; &nbsp;. &nbsp; &nbsp; = &nbsp; &nbsp; &nbsp;. &nbsp; &nbsp; &nbsp;= &nbsp; &nbsp; &nbsp;.
3、 （2a-b)3(b-2a)2= &nbsp; &nbsp; &nbsp;.
经典类型题二：
1、= &nbsp; &nbsp; &nbsp;. &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2、= &nbsp; &nbsp; &nbsp;.
3、= &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;.
经典类型题三：
1、 若，，求的值

2、 已知3x+2=a,用含a的代数式表示3x.

经典类型题四：
1、已知=243，求x的值。

2、 已知=16，求的值。

经典类型题五：
1、 计算：。（n为正整数）

&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;课堂实时训练
1、计算:
（1） &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; （2）
（3） &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;（4） &nbsp;
（5）=
（6）= &nbsp; &nbsp;
2、选择题：
（1）可以写成（　）．
&nbsp; &nbsp;A、 &nbsp;B． &nbsp; C． &nbsp; D． &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;
（2）下列计算正确的是（　）．
&nbsp; &nbsp;A． &nbsp; &nbsp; B. &nbsp; &nbsp; &nbsp; C． &nbsp; &nbsp; &nbsp; &nbsp;D.
（3）、计算(-2)1999+(-2)2000等于( &nbsp; &nbsp; )
&nbsp; &nbsp;A.-23999 &nbsp; &nbsp; &nbsp; B.-2 &nbsp; &nbsp; &nbsp; &nbsp; C.-21999 &nbsp; &nbsp; &nbsp;D.21999
3、下列说法中正确的是( &nbsp; )
&nbsp;A. 和 一定是互为相反数 &nbsp; &nbsp; &nbsp; B. 当n为奇数时, 和相等
&nbsp;C. 当n为偶数时, 和相等 &nbsp; &nbsp; D. 和一定不相等
4、 (ｘ-ｙ)6·(ｙ-ｘ)5=_______。 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;
5、10m·10m-1·100=_______。 &nbsp;
6、ａ4·ａ4=_______；ａ4＋ａ4=_______。
7、已知，，求am+n的值。

8、若，求的值</p>