1 . 解方程:
(1)
;
(2)
;
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c3d9d8afb1aa2129d909bee1111a77e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9971b95a1a91e71823436f99f314e3.png)
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2 . 下列方程变形中,正确的是( )
A.方程![]() ![]() |
B.方程![]() ![]() |
C.方程![]() ![]() |
D.方程![]() ![]() |
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3 . 解方程
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9527d0afdac358185400fdccccfdb0.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84425ea50dbeaa0c684f8dab47a06049.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13868e32c24c62ccc36bf3a02d1a34c0.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc9527d0afdac358185400fdccccfdb0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84425ea50dbeaa0c684f8dab47a06049.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13868e32c24c62ccc36bf3a02d1a34c0.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ae0a4daeb6a8025eda359ca6ea2a078.png)
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名校
4 . 若方程
和
的解相同,则
的值为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7de1f7a1877330bd231069eb98c580fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c131017392d6f7f1e3368ee3342b4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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5 . 定义:若两个有理数的和等于这两个有理数的积,则称这两个数是一对“友好数”.如:(1)有理数
与5,因为
,所以
与5是一对“友好数”.
有理数
和
是一对“友好数”,当
时,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
____________ ;
(2)对于有理数x(
且
),设x的“友好数”为
;
的倒数为
;
的“友好数”为
;
的倒数为
;……依次按如上的操作,得到一组数,
.当
时,
的值为____________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59ab85c075a09d55d69e159e4abb268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d2a35786ba3d6f8034d83857a218fe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59ab85c075a09d55d69e159e4abb268.png)
有理数
![](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/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
(2)对于有理数x(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8539bc17987d965d32a76963d7381c40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d599059e6b2c918ab15ee22611b6962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b473071385eefaee85b0b9334e6d94af.png)
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2024-01-12更新
|
60次组卷
|
13卷引用:湖南省岳阳市岳阳楼区2022-2023学年七年级上学期期末数学试题
湖南省岳阳市岳阳楼区2022-2023学年七年级上学期期末数学试题(已下线)湖南省株洲市2021-2022学年七年级上学期期末教学质量检测数学试题湖南省岳阳市城区2022-2023学年七年级上学期期末教学质量监测数学试题(已下线)专题3.4 整式中的八大规律探究题-2023-2024学年七年级数学上册举一反三系列(华东师大版)(已下线)专题4.4 整式中的八大规律探究题-2023-2024学年七年级数学上册举一反三系列(浙教版)(已下线)专题2.4 整式中的八大规律探究题-2023-2024学年七年级数学上册举一反三系列(沪科版)(已下线)专题2.4 整式中的八大规律探究题-2023-2024学年七年级数学上册举一反三系列(人教版)(已下线)专题3.4 整式中的八大规律探究题-2023-2024学年七年级数学上册举一反三系列(苏科版)(已下线)专题3.4 整式中的八大规律探究题-2023-2024学年七年级数学上册举一反三系列(北师大版)(已下线)专题04 代数式的规律探究问题-【好题汇编】备战2023-2024学年七年级数学上学期期末真题分类汇编(湖南专用)湖南省永州市道县2023-2024学年七年级上学期月考数学试题湖南省邵阳市新宁县金城学校2023-2024学年七年级第二次月考数学试题辽宁省丹东市东港市2023-2024学年七年级上学期期末数学试题
6 . 当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ 时,
与
互为倒数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a39ce78c8f22968b140ae7dc4e739a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a5e6c1452add80f47cbb381d94562a.png)
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7 . 若关于
的方程
的解是
,则
的值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82eada21478adbd08d4638ee6bf29be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.4 | C.![]() | D.![]() |
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8 . 阅读以下材料:
我们规定:若有理数
,
满足
,则称
,
互为“等和积数”,其中
叫做
的“等和积数”,
也叫
的“等和积数”.例如:因为
,
,所以
,则
与
互为“等和积数”.
请根据上述规定解答下列问题:
(1)有理数3的“等和积数”是______;
(2)“等和积数”等于它本身的有理数是______;
(3)若
与
互为“等和积数”,
与
互为“等和积数”,求
的值.
我们规定:若有理数
![](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/132bc768c61ab195768601a0be02222a.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9983810765f109f84d1e9b0194b89ada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fff6fd6c0790f74ec29bb2ef7b28e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c9ff2f98b0a1e5fa6bae26b948c6c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
请根据上述规定解答下列问题:
(1)有理数3的“等和积数”是______;
(2)“等和积数”等于它本身的有理数是______;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33adb74906403b0b00fcbd9fa691d8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a2008b78a906cf5ecdfd68432fa9ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae91b63af429ad1d48613dec84ab29d.png)
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9 . 解方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a5c13ea0a79e0a1c9166707b943247.png)
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名校
10 . 解方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c37b060401fcdabad43a63bc68584836.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c37b060401fcdabad43a63bc68584836.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7516cf31b2a9795f86a12df249feaa.png)
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2024-01-11更新
|
91次组卷
|
2卷引用:黑龙江省哈尔滨市南岗区萧红中学 2022-2023学年七年级上学期月考数学(五四制)试题