计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c51bf2c79170be034cb692efecbf9f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a80a45e235a56919ece93aa679c09a1.png)
22-23七年级上·北京东城·期末 查看更多[4]
北京市东城区景山学校2022-2023学年七年级上学期期末数学试卷(已下线)专题1.29 整式的乘除(运算与化简100题)(巩固篇)(专项练习)-2022-2023学年七年级数学下册基础知识专项讲练(北师大版)(已下线)专题9.4 整式的除法运算(专项训练)-2022-2023学年七年级数学下册《同步考点解读·专题训练》(苏科版)(已下线)专题3.31 整式的乘除(运算与化简100题)(巩固篇)(专项练习)-2022-2023学年七年级数学下册基础知识专项讲练(浙教版)
更新时间:2023-01-11 16:40:49
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适中
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【推荐1】有一个长方体游泳池,它的长为
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解答题-计算题
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适中
(0.65)
名校
【推荐2】先化简,再求值.
(1)
其中
;
(2)
其中
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0300f3ad117e22862364ca8f6fe6d988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a09081d5683e8d3702456a05ab4333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
您最近一年使用:0次
解答题-计算题
|
适中
(0.65)
【推荐1】阅读材料:像
,
,……这种两个含二次根式的代数式相乘,积不含二次根式,我们称这两个代数式互为有理化因式.在进行二次根式运算时,利用有理化因式可以化去分母中的根号.数学课上,老师出了一道题“已知
,求
的值.”
聪明的小明同学根据上述材料,做了这样的解答:
因为
,
所以
.
所以
,所以
,
所以
,所以
,所以
.
请你根据上述材料和小明的解答过程,解决如下问题:
(1)
的有理化因式是 ,
.
(2)化简
.
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ca4c5dfe044315d79a48b0854d7328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8b53dc29f3e6fd05c2a7843aa00f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab27ecd6a820dc891268e3aa55f3e98f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd6cc81344ba6f442b2d682ab5f041c.png)
聪明的小明同学根据上述材料,做了这样的解答:
因为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d20338421c3c7703e8466be944641409.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f85c5f898e62e6cbd49e0845cc399b7.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abbac0015773638c86fe93d5b68fb9bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c425519a742378cb5e63e94f15c8b2.png)
所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/583f333b48a747c4626a2dfc4650bf15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79f3deba702f6d0a88dbeed8d601dde6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d560a6f187a70b561e34cb4958b960cc.png)
请你根据上述材料和小明的解答过程,解决如下问题:
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53204688086b1d0111e91cb49fa0ac61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76cc0642a2a5e00d5411ffbf2fd8eb73.png)
(2)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b4c5a00771013823e5d58086a8ee26.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f38f5b6273c89939ef2f2cb61967b40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea335d7b3608c8cd5977088a01c9e616.png)
您最近一年使用:0次
解答题-计算题
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适中
(0.65)
名校
【推荐2】阅读下面计算过程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6da352c32fdec484e7397e2f595732f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80030b47b8a48743d591d90284d786bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb49e2775ff6fb388df5158d9620629a.png)
试求:
(1)
的值为______;
(2)求
的值.
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6da352c32fdec484e7397e2f595732f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80030b47b8a48743d591d90284d786bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb49e2775ff6fb388df5158d9620629a.png)
试求:
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f7705762be458593f83f82bac2ebd6.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47a876b0a356926a538f32ccf8df6d94.png)
(3)若
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您最近一年使用:0次