解题方法
1 . 关于
有不等式 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf5cd927023a2bdcdd3d6f70e71d7f3.png)
(1)当
时, 解不等式.
(2)若不等式仅有一解,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf5cd927023a2bdcdd3d6f70e71d7f3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cff4b08995815b1bcba83e12a9aec4fb.png)
(2)若不等式仅有一解,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca35310a128febf44f147d4df340d57a.png)
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2023-11-08更新
|
160次组卷
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2卷引用:广东省佛山市南海区西樵高级中学2023-2024学年高一上学期期中数学试题
2 . 解下列的方程、方程组及不等式组:
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/929c173dc170bc1ed110468711e9eb89.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37db33153ae42a6d6c120a72e69e048c.png)
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2022高一·全国·专题练习
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3 . 已知不等式
的解为
,求
和
的值,并解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a31a236a2101c170576f3c8f8e2edc1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4cf894db9fd5c3ef5af29a371416b24.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/1c98878220e4fc94e9bfbc21a1ff2938.png)
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2022-09-05更新
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1556次组卷
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6卷引用:广东省佛山市三水区三水中学2022-2023学年高一上学期第一次统测(10月)数学试题
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4 . (1)化简求值
;
(2)已知函数
,解方程
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc50799ee929b0c85570fb0c41c85ab0.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657cb418750dfbdbdc2a8e3196dfe2e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4237a186118f9c79a5f6c90a29f13bf1.png)
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5 . (1)已知
,求
的值;
(2)化简求值:
;
(3)解不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c9f990fc696c4b27d02cb9e92fe9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0666cbe081eb4ae1c2e4fd96b1cdc37.png)
(2)化简求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46db28c1c687bca6346f3ed3b544f9ff.png)
(3)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be8e2c2b408190995b8e4336eab5c66.png)
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6 .
,其中
是常数.
(1)假设
的解集是
,求
的值,并解不等式
.
(2)假设不等式
有解,且解区间长度不超过5个长度单位,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9529ac0c7d85536cb05f5e3f5785d5aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)假设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12578136c1a749876bb47e6f1d69988e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ff70b7bfa3d6b694958aa21f699696.png)
(2)假设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . (1)解不等式:
;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1bb033a077612ed85457c8bfb5e40a.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f1d13d3ea411f5d9014d50f0978371.png)
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8 . 先化简再求值:
,其中x为不等式组
的整数解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1866f637c56c20d2fa9493c532656db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07cd429e062e04998def2b7cab1f431c.png)
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9 . 甲、乙分别解关于x的不等式
.甲抄错了常数b,得到解集为
;乙抄错了常数c,得到解集为
.如果甲、乙两人解不等式的过程都是正确的,那么原不等式解集应为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb56d9418f1a3cb2baa6b0c862010ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be86a1e518c9cd0b58b453111e8fec8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-01-12更新
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534次组卷
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5卷引用:广东省佛山市2022-2023学年高一上学期期末数学试题
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10 . (1)解关于x的不等式
(结果用集合或区间表示);
(2)化简:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb8677fc6aa7ee2f54c821789165aa5d.png)
(2)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d54aa29195e60bfa83a17f96534f25f.png)
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