定义新运算:对于任意实数m,n,则
根据该运算解决问题:
(1)计算:
;
(2)若
,求x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0f4694bef545e257312ba0dfea9c50.png)
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797d68ace2a2a0a1e64d381a7ad2a0ed.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65b7f223e779605426a844523891b29a.png)
23-24六年级上·山东威海·期末 查看更多[2]
山东省威海市乳山市(五四制)2023-2024学年六年级上学期期末考试数学试题(已下线)专题02 实数(九大题型)-【好题汇编】备战2023-2024学年七年级数学下学期期末真题分类汇编(山东专用)
更新时间:2024-03-14 14:45:29
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解答题-问答题
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【推荐1】一般情况下,对于数
和
,
(“
”不等号),但是对于某些特殊的数
和
,
.我们把这些特殊的数
和
,称为“理想数对”,记作
.例如当
,
时,有
,那么
就是“理想数对”.
(1)如果
是“理想数对”,那么
;
(2)若
是“理想数对”,则:
的值为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce57463547a85809a8d2e329b0824c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411837b4b3078d05b43cb0439259a362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2985e233790d1194bc47ac70310cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409c54b4e3d163fa4caf1357da1cb2df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cca0ec4b4343a6ccd13b652aea1d00c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/049a4444804e1fbd8e80ba038be7b9cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d725d7b5c4ff5c619f3ad0e424b1810c.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244ef536d0566bb1367761eb2bdfc660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7b06d65337a60716cd26bbf5bf9ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea477bd55eca2791ae3f2e62d71a0621.png)
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解答题-问答题
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(0.85)
名校
【推荐2】我们知道,负数没有算术平方根,但对于三个互不相等的负整数,若两两乘积的算术平方根都是整数,则称这三个数为“完美组合数”.例如:
,
,
这三个数,其结果6,3,2都是整数,所以
,
,
这三个数称为“完美组合数”.
(1)
,
,
这三个数是“完美组合数”吗?请说明理由.
(2)若三个数
,m,
是“完美组合数”,其中有两个数乘积的算术平方根为9,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3aab28a20b5bf47040aaec03b1eb550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3aab28a20b5bf47040aaec03b1eb550.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c4fd4507c507c55250a3a59e738dce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf3d3564c61e5e9c39a9e2cf2de048b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(2)若三个数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e35f76e01c3979ae5987f7729f9856.png)
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