题目内容
先阅读下面一段文字,然后解答问题。
a
的有理化因式是
,
的有理化因式是
,x
的有理化因式是
。
观察下面的运算:
①
=12-2=10;
②
=150-18=132;
③
=a2x-b2y。
从上面的计算中,我们发现,将一个二次根式a
+b
乘a
-b
,其积是有理数,由此我们可以得出:
(1)3
-3
的有理化因式是_______;
3
+4
的有理化因式是_______;
(2)把下列各式的分母有理化:
①
;
②
。
a
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949058884.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949074884.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949089923.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949121925.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949136937.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949152937.gif)
观察下面的运算:
①
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/201107211549491671713.gif)
②
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/201107211549491831783.gif)
③
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/201107211549492141808.gif)
从上面的计算中,我们发现,将一个二次根式a
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949230884.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949246897.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949308884.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949339897.gif)
(1)3
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949355887.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949371883.gif)
3
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949402905.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949464917.gif)
(2)把下列各式的分母有理化:
①
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/201107211549494801102.gif)
②
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/201107211549494801288.gif)
解:(1)
的有理化因式是
或3
+3![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949636883.gif)
3
+4
的有理化因式是3
-4
;
(2)①
;
②
。
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/201107211549495111118.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/201107211549496211074.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949636887.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949636883.gif)
3
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949699905.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949699917.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949714905.gif)
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949746917.gif)
(2)①
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949839919.gif)
②
![](http://thumb.1010pic.com/pic1/upload/papers/c02/20110721/20110721154949917978.gif)
![](http://thumb2018.1010pic.com/images/loading.gif)
练习册系列答案
相关题目