已知方程组
的解x为正数,y为负数.
(1)求a的取值范围;
(2)化简
;
(3)在a的取值范围内,且关于z的不等式
的解集是
,求关于t的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e30b150288bea4c8b856c6baf0bb8f.png)
(1)求a的取值范围;
(2)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea834e5fd7d56a800ea4c00bdf2aef4.png)
(3)在a的取值范围内,且关于z的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390361c144e00c45ef219a21c3d2ec65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829913d35a189febf11cfdf4e8228cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e0ccf8652f0e00ceba081754e11bca.png)
22-23七年级下·天津·期末 查看更多[2]
天津市天津外国语大学附属滨海外国语学校2022-2023学年七年级下学期期末数学试题(已下线)专题08 二元一次方程组与不等式(组)含参数问题期末真题汇编【九大题型+优选提升题】-备战2023-2024学年七年级数学下学期期末真题分类汇编(人教版)
更新时间:2023-08-20 22:14:09
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解答题-问答题
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适中
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【推荐1】(1)过A,B两点画一条数轴,使点A表示5,点B表示
;
(2)请把下列各实数分别表示在数轴上,并比较它们的大小(用“<”号连接).
,
,
,2
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/c07e4d79-20b7-4a55-a344-f479919eee90.png?resizew=282)
________
________
________
________
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(2)请把下列各实数分别表示在数轴上,并比较它们的大小(用“<”号连接).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35846cc97afc196984648bbd011f35be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7cc2ad79dfefeef2cc606d23d95e341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099a00b2b9b18be09eac9d3aed907909.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/c07e4d79-20b7-4a55-a344-f479919eee90.png?resizew=282)
________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
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【推荐2】如果最简二次根式
与
是同类二次根式.
(1)求出a的值;
(2)若a≤x≤2a,化简:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b170088f0749a139ebee77812c03b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d025f590c8c8c64e01eacfb0a8d178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddfe19ae99f3f637fb9732e17035280b.png)
(1)求出a的值;
(2)若a≤x≤2a,化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45b170088f0749a139ebee77812c03b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
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【推荐1】对于未知数为
、
的二元一次方程组,如果方程组的解
、
满足
,我们就说方程组的解
与
具有“邻好关系”.
(1)方程组
的解
与
是否具有“邻好关系”?说明你的理由;
(2)若方程组
的解
与
具有“邻好关系”,求
的值.
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dbc9e735bcdfa132894fa4b4409479a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)方程组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b211dbc908fd357395991b0e8128b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)若方程组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d398c6ecc43f645569ccf858cfb5be10.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)
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【推荐2】解答题
(1)解方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cce6a4bae205961e6232f53a4af8ed7.png)
(2)解方程组:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb988a15bd85caf367c9bbc5be0c84f.png)
(3)解不等式,并把解集表示在数轴上,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1336903109745fdff44948b3c585d63.png)
(4)解不等式组:
(1)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cce6a4bae205961e6232f53a4af8ed7.png)
(2)解方程组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbb988a15bd85caf367c9bbc5be0c84f.png)
(3)解不等式,并把解集表示在数轴上,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1336903109745fdff44948b3c585d63.png)
(4)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6924405bd79acb0eca9ebfa050c50888.png)
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【推荐1】解不等式组
请按下列步骤完成解答:
(1)解不等式①,得 ;
(2)解不等式②,得 ;
(3)将不等式①和②的解集在数轴上表示出来;
(4)原不等式组的解集为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3228017f1f5404f419e17bfd8bfe43a7.png)
(1)解不等式①,得 ;
(2)解不等式②,得 ;
(3)将不等式①和②的解集在数轴上表示出来;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/23/9d65a96a-138b-4806-bb08-2e3c38bc6433.png?resizew=308)
(4)原不等式组的解集为 .
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解答题-问答题
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【推荐2】已知关于
的不等式
.
(1)当
时,求此不等式的解集;
(2)
为何值,该不等式有解,并求出其解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d9e6cf1f4e78ee4d748224cacea6ed.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825793ebd4bb376a09621f163ac990a9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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