解答题.
(1)计算:(﹣1)2015+(
)﹣3﹣(π﹣3.1)0
(2)计算:(﹣2x2y)2•3xy÷(﹣6x2y)
(3)先化简,再求值:[(2x+y)2+(2x+y)(y﹣2x)﹣6y]÷2y,其中x=-
,y=3.
(4)用整式乘法公式计算:
.
(1)计算:(﹣1)2015+(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb84f6fbac102ccf326b2223d69cb7cc.png)
(2)计算:(﹣2x2y)2•3xy÷(﹣6x2y)
(3)先化简,再求值:[(2x+y)2+(2x+y)(y﹣2x)﹣6y]÷2y,其中x=-
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
(4)用整式乘法公式计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856b71f401bd8f2207b01688131b32c9.png)
更新时间:2018-06-14 23:39:57
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解答题-计算题
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适中
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名校
【推荐1】像(
+2)(
﹣2)=1,
•
=a(a≥0),(
+1)(
﹣1)=b﹣1(b≥0),两个含有二次根式的代数式相乘,积不含有二次根式,我们称这两个代数式互为有理化因式.例如:
与
,
+1与
﹣1,2
+3
与2
﹣3
等都是互为有理化因式.进行二次根式计算时,利用有理化因式,可以化去分母中的根号,请回答下列问题:
(1)化简:①
= ;
②
= ;
(2)计算:(
…+
)(
+1)= ;
(3)已知a=
﹣
,b=
﹣
,c=
﹣
,试比较a,b,c的大小,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d012d124f04963fb72a68af40d5f8f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d012d124f04963fb72a68af40d5f8f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c462d08d75fcc7ccf9c3ecea1972e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c462d08d75fcc7ccf9c3ecea1972e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
(1)化简:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab468f1d9b0c885344393739b5bd746.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48a4e48aa0023c36875cfa2c894abfa0.png)
(2)计算:(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0fb32bc8cc99071564970cc78a1228a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629f059411dd7632c87aa6ee916a4028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21f1f68b30b278260c0f77433bad840.png)
(3)已知a=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7be54c80a2b9d983d4d6931b011b8ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b2fd735a30a8422f9e2e9c6cce673df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21f1f68b30b278260c0f77433bad840.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7be54c80a2b9d983d4d6931b011b8ead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e4fc431b123cca7812b3b06f9c280b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21f1f68b30b278260c0f77433bad840.png)
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【推荐2】(本题满分10分)已知:
,求下列代数式的值:
(1)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be2e647f56f981f29cd47139b3d45ea.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745c100afb56c39c7706fc59aacac0ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831d516adaa8d5c2549c449d96882b1c.png)
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