1 . 已知关于x、y的方程组
的解满足不等式
,则m的取值范围为___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42146085b5669d814792baf5535d933d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c84688bc1b59783ebf5a3ea1a67c6f.png)
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2 . 已知:
.
(1)化简A;
(2)若点
与点
关于y轴对称,求A的值;
(3)关于x的方程
的解为正数,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e999b23efbacdef8f69c5caf20ba1ba.png)
(1)化简A;
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eec5f99f7e440cde477c8c97a9da41d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94385f37be088a16423626a686122cb0.png)
(3)关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61e63be423ff3383fbb4ccc3b6414240.png)
您最近一年使用:0次
2021-03-23更新
|
520次组卷
|
3卷引用:广东省惠州市2020-2021学年八年级上学期期末数学试题
广东省惠州市2020-2021学年八年级上学期期末数学试题广东省惠州市惠城区2020-2021学年八年级上学期期末数学试题(已下线)八年级数学期末模拟卷(云南专用,测试范围:人教版八上全部)-学易金卷:2023-2024学年初中上学期期末模拟考试
3 . 若
是方程组
的解,当
时,对于
的每一个值,
的值大于
的值,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cdd707d60ad2d239200f02d8eb7054e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3597e0a5d10b41142eb7ab3054e0a9e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da6d82d173ad18cc040e94c925b5ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7be6f009bfb61b11e4f87edb4132de3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec497a5632ac839912fc590c4d15f9f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
4 . 先阅读下列解题过程,然后解答问题.
解方程:
.
解:当
时,原方程可化为
,解得
;
当
时,原方程可化为
,解得
.
所以原方程的解是
或
.
(1)解方程:
.
(2)已知关于
的方程
.
①若方程无解,则
的取值范围是______;
②若方程只有一个解,则
的值为______;
③若方程有两个解,则
的取值范围是______.
解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703cbbaba945fee22915ee11eb7bc981.png)
解:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f1e926cd820e2560861bae044f95b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497923d0bdbed33b5228b75ae7b90f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c9d44deafbbbb631c4c0db884c8874.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ce99f7201a7d4aedde2f54237acbc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41d61bd62d0d3f92553e722430714798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
所以原方程的解是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c9d44deafbbbb631c4c0db884c8874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
(1)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb1a4b35dbebc00441f80a8954a6023d.png)
(2)已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/785be8dc717f0559a1f4b9cca6ba1c57.png)
①若方程无解,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②若方程只有一个解,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
③若方程有两个解,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-08-05更新
|
549次组卷
|
5卷引用:吉林省长春市绿园区2020-2021学年七年级下学期期末数学试题
吉林省长春市绿园区2020-2021学年七年级下学期期末数学试题(已下线)第04讲 有理数的相关概念-【暑假自学课】2022年新七年级数学暑假精品课(北师大版)吉林省长春市吉大附中英才学校2021-2022学年下学期七年级第二次线上测试数学试题吉林省长春市榆树市教育联盟2022-2023学年七年级下学期5月联考数学试题吉林省长春市德惠市2022-2023学年七年级下学期期中数学试题
5 . 已知关于
和
的方程组
,且
,
(1)若
,求方程组的解;
(2)若方程组的解满足不等式
,且符合要求的整数
只有两个,求
的取值范围.
![](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/d865892637192b68298257225aec7bc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34308cf92d20690e6b2745d28ea5ff5f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
(2)若方程组的解满足不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e01795f66eff0ad9507be8b7b396b3b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 已知关于x,y的方程组
的解满足不等式
,求满足条件的m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ddf55a61f8ba1ec51ea20b0086a2a6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8793c5fbb555d14b30222987798a992a.png)
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7 . 【阅读】定义:使方程(组)与不等式(组)同时成立的未知数的值称为此方程(组)和不等式(组)的“理想解”.例如:已知方程
与不等式
,当
时,
,
同时成立,则称
是方程
与不等式
的“理想解”.
根据以上信息,解决下列问题:
(1)
是方程
与下列不等式(组)___________的“理想解”;(填序号)
①
;②
;③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcfc94b65e3354acc6c51105782c895b.png)
(2)若
是方程组
与不等式
的“理想解”,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ed908f3cae7d44f0c7e8bfabb764f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815d001ad540c93e4c63736b6c57767c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735e460860bfe71f777b51bfbe84dcc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63009a1538c2f6b89ca98c6534b1010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ed908f3cae7d44f0c7e8bfabb764f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/815d001ad540c93e4c63736b6c57767c.png)
根据以上信息,解决下列问题:
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55aa0a20848c37c1892c567b2315e04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d4c3668c7554aaa50c3f236b7890a4.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075c4221a7d5cb6de9409a2873653b72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7c5475ceff9c7e222ea21e7d4d9afe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcfc94b65e3354acc6c51105782c895b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b51f90615dffeeb5817cc46f82310da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e347544f926f46c186b2f496e2f2a5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a0bb5f1fcfe43c42f90847ea375f0e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
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2023-08-08更新
|
164次组卷
|
3卷引用:四川省广安市岳池县2022-2023学年七年级下学期期末数学试题
8 . 已知关于
,
的方程组
的解满足不等式
,
(1)求实数
的取值范围;
(2)若
,方程组的解是等腰三角形的两条边的长,求此等腰三角形的周长.
![](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/050397d40de89e4a58d75a4b0f2014b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e906994b4ed24e674e82ecaac96cbe.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
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9 . (1)解不等式:
并把解集表示在数轴上.
![](https://img.xkw.com/dksih/QBM/2021/1/25/2645311009251328/2679363428679680/STEM/767dbec1-9242-4d99-9d44-f6c8930b0ba0.png)
(2)若关于
的不等式组
的解为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d58aaaf02b46f8573ccbb318e7ee337.png)
![](https://img.xkw.com/dksih/QBM/2021/1/25/2645311009251328/2679363428679680/STEM/767dbec1-9242-4d99-9d44-f6c8930b0ba0.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60fd25e609db66f7b96a72622164c1d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc3e5be1796493161a4df7e28a6f6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 设
.
(1)化简M;
(2)当a=3时,记此时M的值为f(3);当a=4时,记此时M的值为f(4);…….解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9c99880e73275d77e946c107f2223c.png)
(1)化简M;
(2)当a=3时,记此时M的值为f(3);当a=4时,记此时M的值为f(4);…….解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a608a239cf9687bba6bf7bc788ee78.png)
您最近一年使用:0次
2021-09-10更新
|
455次组卷
|
7卷引用:广东省汕头市澄海区2020-2021学年八年级上学期期末考试数学试题