1 . 当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
________ 时,代数式
与
互为相反数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b482df9046a13963befb97f3167768de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa54d2a1b192048f8de9f66f0e14a1c1.png)
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2 . 已知
是方程
的解,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0e131aba1d144b19ed4d25a9c49da34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc38e14cc01b32efe014506a3df43eab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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3 . 【阅读材料】已知
是关于
的多项式,记为
.我们规定:
的导出多项式为
,记为
.例如:若
,则
的导出多项式
;若
,则
的导出多项式
.
【类比探究】(1)
,则它的导出多项式
___________;
【拓展应用】(2)设
是
的导出多项式.若
,求关于
的方程
的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c964e149ebd8bd5b2307f9b9e803caf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826308511448f7b791edf4199c690768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826308511448f7b791edf4199c690768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa3a3fc366487b798363daeeb3643ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a22c453d9041febde25582b463e642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046b388177cf781f9a1418c0cc971ece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826308511448f7b791edf4199c690768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711ea620e3108f5dc10b0f9d91ec96d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84bd2e39d145f598e41d2bbff0e94f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826308511448f7b791edf4199c690768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f056d73b20957d14c3290b5c97f24eb6.png)
【类比探究】(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7604e6e8e1da83ef655af7f3a18b7823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588056ae7548b5743371671a0162a83f.png)
【拓展应用】(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a22c453d9041febde25582b463e642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826308511448f7b791edf4199c690768.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1df64d9daf1cb231eadbfb907f57e023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ac95d3e3ed182968bc20a499ac0064.png)
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4 . 方程
的解是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bbdb0f799c431bbb2c6e60fc93ec08d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . (1)解方程:
;
(2)解不等式:
,并将解集在数轴上表示出来.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4711a7246876cbb7bf03a86c43fd1b2.png)
(2)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34b31808f17fc1349fa90d6c5967ba86.png)
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名校
6 . 解下列方程(组):
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c22b54d916002d04b9213a8e2312eba7.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c22b54d916002d04b9213a8e2312eba7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bd49b07b078258a4c141069dd690888.png)
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名校
7 . 方程
是关于x的一元一次方程,则m的值是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033458ce6e360d58207f5cf08959ae41.png)
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8 . 张老师在上课时遇到下面问题:
已知
,
满足方程组
,求
的值.
小丽说:把方程组解出来,再求
的值.
小华说:把两个方程直接相加得
,方程两边同时除以4,解得
.
请你参考小丽或小华同学的思路,解决下面的问题:
(1)已知关于
,
的方程组
的解满足
,求
的值;
(2)已知关于
,
的方程组
的解满足
,求
的取值范围.
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6207dde140fa826aa115c3d8c55686d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
小丽说:把方程组解出来,再求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
小华说:把两个方程直接相加得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b2bce2ec87d176720e4c73e9f74897.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
请你参考小丽或小华同学的思路,解决下面的问题:
(1)已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f55634344ec78d327e819822834a1e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41f78f7847290bc3f3230169595cf0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699463a2b55a14a572deeb318986998e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9e131cdd242d56b6dba05ab3363ef3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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9 . 方程
的解为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934b3109c301c8e3fdbfe1c0934625d0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 阅读下列内容,完成任务.
任务:
(1)数对
和
中,是“姊妹数对”的是_________.
(2)若数对
是“姊妹数对”,求x的值.
定义:我们把使等式![]() ![]() ![]() ![]() ![]() ![]() ![]() |
(1)数对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e78a0ff7a088ed2cbd707c3c9ec4604.png)
(2)若数对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec296fdf0fa535dd1113c3ffc88f19d.png)
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