先阅读下列解题过程,然后解答后面两个问题.
解方程:
.
解:当
时,原方程可化为
,解得
;
当
时,原方程可化为
,解得
.
所以原方程的解是
或
.
(1)解方程:
.
(2)解关于
的方程:
.
解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72bd2967c563c4627572be3b9482cfe1.png)
解:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91d89153ff0d4d512e8384cd80e476d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6392e04d222318c18dc8477475c04ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da322ac8867e8a47c6588601078abf18.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee87a5a7cbf527d11f7b02ce0d45b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c00b9d08731a01dba2b06e78a8f834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
所以原方程的解是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da322ac8867e8a47c6588601078abf18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632133d7c6c0245c0a4855f0009f39e6.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b638a51401b882bdab812dcdd16d7089.png)
21-22七年级下·河南新乡·期中 查看更多[6]
河南省新乡市卫辉市2021-2022学年七年级下学期期中数学试题(已下线)第3章 一元一次方程(A卷·知识通关练) -【单元测试】2022-2023学年七年级数学上册分层训练AB卷(湘教版)(已下线)专题26 含绝对值符号的一元一次方程-【微专题】2022-2023学年七年级数学上册常考点微专题提分精练(人教版)江苏省南通市如东县部分学校2022-2023学年七年级上学期期中数学试题(已下线)专题26 解含绝对值的一元一次方程-【微专题】2022-2023学年七年级数学上册常考点微专题提分精练(浙教版)(已下线)专题09-13绝对值方程基础卷
更新时间:2022-08-17 10:04:33
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【推荐1】阅读下列材料:
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表示数轴上________与________所对应的两点之间的距离.
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(4)利用绝对值的几何意义,写出
的最小值.
经过有理数运算的学习,我们知道
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d56a81560a26fb54ac926e4b0c1a893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7ba690de4bdbdceb968265181a208f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/16/4dcc0c4e-acb7-4182-8f41-05d8b2885dd1.png?resizew=423)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b931d78073a59ec476a7084d2150ed.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d9534c21082322a26392e6f286e5d35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe56a82278b144101fda1fa2cf59703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)利用绝对值的几何意义,请找出所有符合条件的整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/631d4c7dfccb9a223eda83b8a0c22704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(4)利用绝对值的几何意义,写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ddda848f0dc3faf4f9001bebbbf37ba.png)
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【推荐2】已知:
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
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(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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【推荐2】如图,约定:上方相邻两数之和等于这两数下方箭头共同指向的数.
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![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/13/3b055ff7-6835-497d-a282-cd04ea71ddbc.jpg?resizew=213)
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名校
【推荐1】若规定:
,如
.
(1)计算:①
;②
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be53e6f2d4a184a8d6c61a5ca9641207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13aded186c77877faf45007367f61ae.png)
(1)计算:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86d0e8b4ba3817ac67a327f6a5e78cc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b35f1b28f4260a2ef5faaaa09384bb.png)
(2)若
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