计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c6ebd018f8a6b9b5fde1705ad087b2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ab5a9ca6cdeb4f3ed7f8f277abe8d0.png)
23-24八年级下·浙江·期中 查看更多[2]
浙江省J12共同体联盟校2023-2024学年八年级下学期期中数学试题(已下线)第03讲 二次根式的加减(知识解读+达标检测)-2023-2024学年八年级数学下册《知识解读·题型专练》(苏科版)
更新时间:2024-04-17 16:38:54
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解答题-计算题
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【推荐1】计算:
(1)
;
(2)
(利用乘法公式计算).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7c62cf93827ca964ef1cf49dea744d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af961827462dadacf3be5d3823df13a.png)
您最近一年使用:0次
解答题-问答题
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较易
(0.85)
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【推荐2】仔细阅读下列解题过程:
若
,求
的值.
解:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8353c6bb93862190ef3c6beb4cf1f4c4.png)
∴![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3979c0ec50ef5c16e785ef57be800fc0.png)
∴![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78cbac09ad7d015c0b02911409acbdb.png)
∴![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f2b7c120d859d704cd6c81d0873d0e.png)
∴![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e720eb59ca837822df150e441657b3.png)
根据以上解题过程,试探究下列问题:
(1)已知
,求
的值;
(2)已知
,求
的值;
(3)若
,求
的值.
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d93db1042dd3718a2a9296b07b258955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663a61ad241d5d874c9a9362f0ee917c.png)
解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8353c6bb93862190ef3c6beb4cf1f4c4.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3979c0ec50ef5c16e785ef57be800fc0.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d78cbac09ad7d015c0b02911409acbdb.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0f2b7c120d859d704cd6c81d0873d0e.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e720eb59ca837822df150e441657b3.png)
根据以上解题过程,试探究下列问题:
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32922a3b0b35ea5d975a6ca6aac0380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf99adccc80f28343fedd8d0aad7429.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e6a5a9eb05ed5d4f70079e147c56abe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663a61ad241d5d874c9a9362f0ee917c.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86106d3910fe298976f7e067266d0259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aece4144da1d3bd431b80b4689058543.png)
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