1 . 解下列方程:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8f58ce9ef39dda5b1e3208c0e0b97c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fec94163f4c49f9c9194589e6e03dd3.png)
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2 . 解方程
,移项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a34f2ab8e7286e567be4b0a56fa252.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 若
是关于x的一元一次方程
的解,则常数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5979d034bb79f808634347f29f280f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.3 | B.2 | C.![]() | D.![]() |
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4 . 解方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce04d2826612b516e04b519092fa8645.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce04d2826612b516e04b519092fa8645.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86a59da9ac4b91e586a8cddb6bad71d.png)
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5 . 定义:对于一个有理数x,我们把“
”称作x的对称数.若
,则
;若
,则
.例如:
,
.
(1)填空:
①
;
;
;
②若
,且
,则
.
(2)已知有理数a,b,当
时,满足
,试求代数式
的值.
(3)解方程:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2ab85825d4a002600ca41bd3cd2ee7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd5b849801fde7c8bb0c3b0c10ee5ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/197abb6bcc0d765c8a6c5876c9b8ddd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ac4e2662d4667596f1968e2a08f0f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9bf352a411af574b7fb5909bac47c5.png)
(1)填空:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b7404125582b5c2a00466b648f461a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b14b9fff2916c8364b4a3178e875f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/505d750bb1b29f7fa2b895418a1080d2.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42f0956de3b4f4ea359974dfa400350.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
(2)已知有理数a,b,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90e8d5d7fed033f48270b1ff825fcd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa15872531dd3b56b8038634b9ab459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11ce9194a3a8ca5f77f32b564459d4d.png)
(3)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc63f78fe0ec76112469b1bd0a16f683.png)
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6 . 解下列方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54139dbcb0fc5b8f54096338bef1d22c.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54139dbcb0fc5b8f54096338bef1d22c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/317db66bfa1326139f96fb757e8b26c4.png)
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7 . 已知
是关于x的一元一次方程,则m=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985cde9aaa86f8cad9854c5cfc59d9b.png)
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8 . 对于有理数a,b,定义一种新运算“※”规定
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/d2e9b32c-bcf0-4a63-a49f-98ec2bc98a08.png?resizew=359)
(1)计算
______;
(2)当a,b在数轴上的位置如图所示时,化简
;
(3)已知
,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d370f24de24f2a15930f929d92b4565f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/d2e9b32c-bcf0-4a63-a49f-98ec2bc98a08.png?resizew=359)
(第24题)
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd94ab106c40ec4180a4be8b47607f8.png)
(2)当a,b在数轴上的位置如图所示时,化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cbd66ba33c05d8ed6c170e905c159e4.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce75f9d211e744860be7acbde7fbeccf.png)
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9 . 先化简再求值:
,其中
的值是方程
的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e5c0596151433428a46f7e323a1a507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/020b2621a53f64a073cd1308114afecb.png)
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10 . 解下列方程:
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca6e109681c7028f2a17fcd3a20cf60.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9066addd72c633a9d7f2fa55a147b5bf.png)
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