1 . (1)已知多项式
,若多项式的值与字母x的取值无关,求a,b的值;
(2)化简求值:
,其中
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97b6947254ba436d4c227d491fae27a0.png)
(2)化简求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5775c841edf7e45d7263f0d6283b62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1c84057882768f20a01365c81b6760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d0aa9412dd7caf42cc71520e282328.png)
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2 . 已知:
,
,若代数式的
的值与a无关,则此时b的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f097be2b2e137721388244a6c3030a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c1dc757f45478710b12a68241217f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13c8573cf2fff14ab3c22a56536d8e1.png)
A.![]() | B.0 | C.![]() | D.![]() |
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3 . 已知
,
,若关于x的多项式
不含一次项,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132418a186a04c9130617c8a862d94ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b3aa1a893dfa754991de5ee629b61bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9e460c144f7a2141d2df0308b125f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.![]() | B.![]() | C.2 | D.3 |
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4 . 已知:
.
(1)计算:
;
(2)若
,求
的值;
(3)若
的值与
的取值无关,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3da068b3a1f6c6470e86b60a167d81.png)
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd2e0881dea2b5d4938ac48b2b1782d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38958135119725c91cf685af16511f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd2e0881dea2b5d4938ac48b2b1782d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd2e0881dea2b5d4938ac48b2b1782d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 若代数式
化简后不含二次项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/770565eda67f6832cc9aac4bc92aa55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
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6 . 若多项式
与
的和中不含
项,则k的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4962b0704b756888919db838031f4cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9224a526e0c2c685abd18dd9036bc999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
A.3 | B.6 | C.![]() | D.![]() |
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7 . 定义:若
,则称
与
是关于
的相关数.
(1)若5与
是关于2的相关数,则
________;
(2)若
与
是关于
的相关数,
,
的值与
无关,求
与
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16966ddcdafba01060154fc2b44191aa.png)
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)若5与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c02eaad8e1a77cc6707db55b721fa93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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8 . 如果关于
的多项式
与
的和不含
项,则这两个多项式的和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/010a5463bb2848af993a6b5e7696ade2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef4e671946634e47bc5544ff33ee3af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0a89e3c30f6e4d4c5db4378b05d987.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 【感悟方法】
数学研究的对象包括生活中的变量及变量之间的关系,有些运算结果由每个变量的值来确定,也有些运算结果与某个变量无关,但这无关变量有时也有它的意义.
(1)已知代数式
的值与字母
的取值无关,其中
,
是常数,求
,
的值.
【迁移运用】请用(1)中的方法解决下面的问题:
(2)某自行车专卖店计划购进甲、乙两种品牌的自行车.已知甲品牌的进价为1000元/辆,乙品牌的进价为1200元/辆.该商店决定购进两种品牌的自行车共30辆,有多种进货方案.销售一辆甲品牌的自行车利润率为
,乙品牌的售价为每辆2000元.为鼓励顾客多消费,商店决定每售出一辆乙品牌的自行车,返还顾客现金
元,甲品牌的自行车售价不变.要使不同进货方案所购进的自行车全部售出后,商店最终获利相同,求
的值.
数学研究的对象包括生活中的变量及变量之间的关系,有些运算结果由每个变量的值来确定,也有些运算结果与某个变量无关,但这无关变量有时也有它的意义.
(1)已知代数式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/635cee328cb7513c536448439eb21e20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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)
【迁移运用】请用(1)中的方法解决下面的问题:
(2)某自行车专卖店计划购进甲、乙两种品牌的自行车.已知甲品牌的进价为1000元/辆,乙品牌的进价为1200元/辆.该商店决定购进两种品牌的自行车共30辆,有多种进货方案.销售一辆甲品牌的自行车利润率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb5ead0db01fc4961b16e85199424ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 关于
,
的代数式
中不含二次项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133b0b4a79a067ac5266f898740f86f7.png)
______ .
![](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/c406ceee49d29603b01296f56bbc120c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/133b0b4a79a067ac5266f898740f86f7.png)
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