题目内容
(1)计算
;
(2)化简
;
(3)解方程组![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230226418241020.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641792777.png)
(2)化简
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641824955.png)
(3)解方程组
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/201408230226418241020.png)
(1)
;(2)
;(3)![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641870718.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641839513.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641855522.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641870718.png)
试题分析:(1)先根据二次根式的性质化简,再合并同类二次根式即可;
(2)先根据完全平方公式和平方差公式化简,再合并同类二次根式即可;
(3)用①×2-②×3即可消去y求得x的值,再代入①即可求得y的值,从而得到方程组的解.
(1)原式
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641870959.png)
(2)原式
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641886737.png)
(3)①×2-②×3得
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641902465.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641917391.png)
把
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641917391.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641948600.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641964426.png)
∴原方程组的解为
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641980725.png)
点评:解答本题的关键是熟练掌握完全平方公式:
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022641995810.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823022642011756.png)
![](http://thumb.zyjl.cn/images/loading.gif)
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