1 . (1)解不等式组:
,并把解集在数轴上表示出来;
(2)先化简,再求值:已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4348a5183fcf3686773969d85c3921.png)
(2)先化简,再求值:已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc12fed7a6f4777c0fccc896e624281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde4df5d30068f1efab9f40c2f24b623.png)
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2 . 定义区间
的长度均为
,其中
.
(1)不等式组
的解集中各区间的长度和等于8,求实数
的取值范围;
(2)已知常数
,满足
,求满足不等式
的解集中各区间长度之和.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dea81d99b5fe5d506bbd3e4843d085a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba426b113b9e781b0e45a17872dc0815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40aac3b8bed3f6e9b79a1f7c0ff6c830.png)
(1)不等式组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93b5e05c2f0eebfebc3568d69dac9746.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08075b3b73dd2609baad69a496fdd9a8.png)
(2)已知常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae22c3fbdb2ad97d9fa6b542490a28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bed0d3e6741e0193addff8cf7b25019c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e383476c275769e102fd17e6af59b321.png)
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3 . 已知
.
(1)若
为奇函数,求
的值,并解方程
;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3937b0bedd2bfe787db6c6a64bb78e21.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b35d125e80c7c1c29bf36f11c44d7c.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca28db4d93d44c5838921a45d77e320.png)
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解题方法
4 . 已知
.
(1)若
为奇函数,求
的值,并解方程
;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2929db6d85ea3929b84c4bbbf29851b4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c30fd1a9da889807c0baf0fd393b859.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ea66f17c454ff99dd986daff59e1513.png)
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5 . (1)解方程组
;
(2)解关于
的不等式
;
(3)已知关于
的不等式
的解集为
,求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9875224051c04670bea42c9a25304076.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3aee08ad8c82acbf3b6a1c3824f2383.png)
(3)已知关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009db35e84f9e2ed847519211918fbfe.png)
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2023-11-05更新
|
84次组卷
|
2卷引用:北京市十一学校2023-2024学年高一上学期教与学质量诊断(期中)考试数学试题
2019高二上·全国·专题练习
6 . 计算:(1)解不等式:
;
(2)若关于
的不等式
的解集为
,且
,求实数
的值;
(3)解关于
的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c447c4e739e50f3630d5ac57aa9cf0bc.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e597760cba508a4fb39c5a83f9ec2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b4af0f8116d42cd991cc7a9f97e0841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe07ca2bafedb4e6145dbb01bc1af513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afeeecba13d1b662ef717fa141a46ec4.png)
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7 . 解下列各题:
(1)解不等式:
;
(2)计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03356b51d55a5d49d6fa710ecc885f4c.png)
(3)设
是非零实数,已知
的值.
(1)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db7dc6d6d563e64470ad7c0196b75a3.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03356b51d55a5d49d6fa710ecc885f4c.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7f321c2a74ef6e75ff3a4252323457.png)
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解题方法
8 . 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:浙江省温州十校联合体2023-2024学年高一上学期期中联考数学试题
名校
9 . (1)解方程
;
(2)解关于x的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9baea3dd32d66b1abf772a6ac36821d0.png)
(2)解关于x的不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738203b4a58a48104cc2007f4e8b448a.png)
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2021-10-14更新
|
203次组卷
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2卷引用:江苏省苏州中学2021-2022学年高一上学期十月月考数学试题
10 . 关于x的不等式
.
(1)若不等式的解集为
,求
的值,并解关于x的不等式
的解集.
(2)若
,解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae8fff7c98b78992edcd61daf6ea72f.png)
(1)若不等式的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae96c0396bbf254f04e77615eac5fd4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6368286b2b9275c4d1831384361db1d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db01c0b80e146432c30073258884736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae8fff7c98b78992edcd61daf6ea72f.png)
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