计算或解方程.
(1)计算:
;
(2)解方程:
.
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07eb3a303bae1f8c2645a0adeeafa9a3.png)
(2)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b729beeeadb28ebda304f4a679c493e.png)
更新时间:2023-08-18 21:19:08
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解答题-问答题
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适中
(0.65)
【推荐1】阅读下列材料,并完成问题解答:
(一)小明阅读7年级数学第二学期课本44-46页关于平方根的定义:如果
,那么x叫做a的平方根,记作
,其中
,例如
,那么
,即
是5的平方根,也就是二次方程
的解是
,请你根据以上定义解答下列问题:
(1)解方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc44942d3c9e9f67d268eb6447bc3ac4.png)
(2)选择题:式子
中的a的取值可以是( )
A.1 B.
C.
D.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
(二)仿照以上平方根的定义,我们发现:如果
,那么x叫做a的立方根.记作
,其中a可以是任意实数,例如:
,那么
,即
,请你根据以上信息解答下列问题:
(3)解方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291d41ef4e25764dbf7044ec6fc7aefb.png)
如果
,那么x叫做a的4次方根,记作
,其中
,例如:如果
.那么
,即
,请你根据以上信息解答下列问题:
(4)填空题:若
,则x的值是________.
(一)小明阅读7年级数学第二学期课本44-46页关于平方根的定义:如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478dceaa58f0cd0fea61f9130ecf0845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe252c6e1e693e179493affe8915ac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7ec01c5228e1cf9df7c2aab8775f50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae8ef3413c0fa3e928e4a5b641d2b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe51e84c844777379cb7f53aeaf2241b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7ec01c5228e1cf9df7c2aab8775f50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae8ef3413c0fa3e928e4a5b641d2b46.png)
(1)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc44942d3c9e9f67d268eb6447bc3ac4.png)
(2)选择题:式子
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc97cd99fb9c77b31d3f19e384941cd2.png)
A.1 B.
![](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)
(二)仿照以上平方根的定义,我们发现:如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b0aab13dd0dc249ba70ab35a361d8cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8c7dfdb06276d2a1f3f76310ff8c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3862fd1f54d493fba280c40b9bf2a77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38b39975cdaf49c76cce7feffcb60f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba53065eb180a682305fddb95d14b62f.png)
(3)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291d41ef4e25764dbf7044ec6fc7aefb.png)
如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3662e3047bd75a6b79b483b81cd0725.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83ead8b68981d7ee02c2f0bfafe2386.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce3a34d6f60032718820c3da2b07786b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9814faa16e6707a938a48881b47f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402bdf0ec6ba2ebe1e9980d977b017b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0471deae2956862a92b230e493f26419.png)
(4)填空题:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b804764589178fd9d713de03bc726a0.png)
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