1 . 解下列方程或不等式
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86eb7ae7fe5083cf60fb73b7a82ef37.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3a518175baf49e1550bf6792bacebe.png)
(3)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e86eb7ae7fe5083cf60fb73b7a82ef37.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3a518175baf49e1550bf6792bacebe.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ad4a65d1fb47854af0743caa2ecac4.png)
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2 . 下列解方程的步骤正确的是( )
A.由![]() ![]() |
B.由![]() ![]() |
C.由![]() ![]() |
D.由![]() ![]() |
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名校
3 . (1)解方程:
.
(2)解方程组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7edd55bf305e1f696ac05301485fe9eb.png)
(2)解方程组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd2e79e1ec14859ef2f1c16e9b9ef50.png)
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4 . 若
是4的平方根,则
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e26ea0261f2b67983b07b8d0bb8bf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 对于任意实数
,
,定义关于“
”的一种运算如下:
.例如:
,
.
(1)若
,求
的值;
(2)若
,求
的取值范围.
![](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/55d8782081982e991edc3499a1ad4278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c050fb52aa9913e9e92c72eefd16b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1debecd4fb605de69a66e8d41c85e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f774e93898cea0bbdf44d7725411da5e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a3617238a0db6f9850b1ba622c24bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e84d653cad8f475f1532cd682865bebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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名校
6 . 若
是二元一次方程,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812b77100a8d8d319d6ea4cb98f0d591.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
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7 . 在平面直角坐标系中,已知点
,若点M到x轴的距离等于5,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35a463f5f9aa8ebd358300793d66b4d.png)
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8 . 定义一种新运算∶
.
(1)求
的值(结果保留幂的形式);
(2)求
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba22a7c62c8a15d7232a5377820f64d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d8780f3277431f3d7b6e03834214878.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b717fabcda550d23afa00d75e2e74c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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9 . 若关于
的方程
是一元一次方程,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
_____ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
_____
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d6ce95643d90055785aa76ec5dd2d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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2024七年级下·江苏·专题练习
10 . 新定义:若一元一次方程的解在一元一次不等式组解集范围内,则称该一元一次方程为该不等式组的“关联方程”,例如:方程
的解为
,而不等式组
的解集为
,不难发现
在
的范围内,所以方程
是不等式组
的“关联方程”
(1)在方程①
;②
;③
中,不等式组
的“关联方程”是___________;(填序号)
(2)若关于
的方程
是不等式组
的“关联方程”,求
的取值范围;
(3)若关于
的方程
是关于
的不等式组
的“关联方程”,且此时不等式组有4个整数解,试求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8e4bbc9f6c98374f360c90f4cc8940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3788cfd95beef71f146c508fbc387cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef8634d2d5a531ebffd843f50644b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef8634d2d5a531ebffd843f50644b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8e4bbc9f6c98374f360c90f4cc8940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3788cfd95beef71f146c508fbc387cc.png)
(1)在方程①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7693ff0b39d47a8cea78614eb94dce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35a09e3b9d5433347f023fc2e412129b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5b431671bc96d803cd4f4a81c40c1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2590070e31613db43fa1eefdb89d47.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b570bf9cb393fb6152a885e39f5b9d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ecae3a6c3ca71374bb3761de2e04066.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c604ee2d4952e1260991c45bfc289a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57156d6dabcfd5e7c8a1ccc0fa49f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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