计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f58a5ab926a8d90964f9cdf4573c630.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c57e27ec427063b428207433c14f7937.png)
21-22八年级下·浙江宁波·期中 查看更多[3]
浙江省宁波市第七中学2021-2022学年八年级下学期期中数学试题(已下线)专题2.19 二次根式加减乘除及乘方混合运算(综合)80题(基础篇)(专项练习)-2022-2023学年八年级数学上册基础知识专项讲练(北师大版)(已下线)专题02 二次根式的混合运算最新期中考题50道-【微专题】2022-2023学年八年级数学下册常考点微专题提分精练(浙教版)
更新时间:2022-06-26 16:21:06
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解答题-问答题
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【推荐1】阅读下列材料:若
满足
,求
的值.
设
,
,则
,
,
∴
.
请仿照上面的方法求解下面问题:
![](https://img.xkw.com/dksih/QBM/2022/4/28/2968121293774848/3044156800860160/STEM/8605b1f2f1e54a8fa3c97a0f0f0b4e8d.png?resizew=124)
(1)若
满足
,求
的值;
(2)已知正方形
的边长为
,
,
分别是
、
上的点,且
,
,长方形
的面积是35,分别以
、
为边作正方形.
①
______,
______;(用含
的式子表示)
②求阴影部分的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab855ac4de08bb30a4b4ba1db4a14af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492d2922dbba102b50f89948766c4d15.png)
设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa055db427ecba2024847c4fc79195bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b74134105b4afa2470945461b8c1dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed92e914fdc91b0c0072a6c4f2c819c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4bb14fed797c575049790e940107d8.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3478970c7fb2fc229796ba287507c17d.png)
请仿照上面的方法求解下面问题:
![](https://img.xkw.com/dksih/QBM/2022/4/28/2968121293774848/3044156800860160/STEM/8605b1f2f1e54a8fa3c97a0f0f0b4e8d.png?resizew=124)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca653cc417577f5772ba49fac34ef9c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40f0c20d12b14583fcc9385a2d7e494f.png)
(2)已知正方形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1364213f546b37f8764ddcb59e36ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce84f6062f12bf6ef42d7b733cd2248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c33132a7eb57dce564b3a2ffc8a202a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac513f3836c413aba03eccdad2bd3ab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e80bb0f244f283cd4c3faf809ba488d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
②求阴影部分的面积.
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解答题-问答题
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较易
(0.85)
【推荐1】观察下列等式的规律,解答相关问题.
第一行:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/330662d7e3656d055800853e3b7b447b.png)
第二行:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/141890f4004d224917cb306b7a949ffb.png)
第三行:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08bf46d3c8de8c2d47cd5b8b0f42b29a.png)
第四行:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c21de5804a7ab7dd788112fa3e08d9b.png)
(1)按照上述规律,则第8行等式为________.
(2)请写出第n行等式,并利用所学知识说明该等式成立.
第一行:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/330662d7e3656d055800853e3b7b447b.png)
第二行:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/141890f4004d224917cb306b7a949ffb.png)
第三行:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08bf46d3c8de8c2d47cd5b8b0f42b29a.png)
第四行:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c21de5804a7ab7dd788112fa3e08d9b.png)
(1)按照上述规律,则第8行等式为________.
(2)请写出第n行等式,并利用所学知识说明该等式成立.
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解答题-证明题
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名校
【推荐2】已知:三角形的三边长为a,b,c,其中
.
求证:长度分别为
,
,
的三条线段可以组成三角形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
求证:长度分别为
![](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/e9277dbbce271b4fa43757e565a9979c.png)
您最近一年使用:0次