1 . 已知
.
(1)当
时,解不等式
;
(2)若关于x的方程
的解集中恰好有一个元素,求实数a的值;
(3)若对任意
,函数
在区间
上总有意义,且最大值与最小值的差等于2,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f782ac135ebb68ffe809837006c8f6.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
(2)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b783ec4871b338c9612cbc700694e7.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e6185447373cdf38c28ba73415637c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983fa8d30993077d136d644a4de7a394.png)
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解题方法
2 . 设全集
.
(1)解关于
的不等式
;
(2)记
为(1)中不等式的解集,
为不等式组
的整数解集,若
恰有三个元素,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de90ac59bcff9f91525b40d2018f0c6f.png)
(2)记
![](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/7fbc1d281c186b0ac29ea9c92a1b24c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c5e00c0716742d29b5814b83e07528.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
3 . (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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4 . 化简求值:
(1)计算
:
(2)已知
,求
的值.
(1)计算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c660a216a9a5f4e282feb3a7b3ad9b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8c9f990fc696c4b27d02cb9e92fe9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942351b6336609e98b7f77664830f168.png)
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5 . 化简求值
(1)计算下列式子的值:
;
(2)若
,求
的值.
(1)计算下列式子的值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/befbd8d8af43d10067e9a890032ca69e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb999ba04c6bce1722a27a368e7488e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
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6 . 化简求值(需要写出计算过程)
(1)若
,
,求
的值;
(2)
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337b3db9e7d2e403299dc46e55b65d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32ddda27016fdb7362a1b99cc2a4af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b48aa0a5beea9afa8b322194731c837.png)
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2022-11-03更新
|
1227次组卷
|
5卷引用:江苏省南京师范大学附属中学2022-2023学年高一上学期期中数学试题
7 . 解下列各题:
(1)计算:
;
(2)化简
.
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68968d0987aecc346ee94ce661a04b60.png)
(2)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8fbf2f91a1b694d9d6840b08722d0c.png)
您最近一年使用:0次
2019-12-14更新
|
468次组卷
|
2卷引用:江苏省扬州市新华中学2020-2021学年高一上学期期中数学试题
8 . 化简求值:
(1)计算:
;
(2)已知
,求
的值.
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cba784f32e65840e7a998e188e9c6f84.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fc7310f495318445c57f321df042256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0b24f755c35dd9edba43c168a9fa188.png)
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9 . 化简求值(需要写出计算过程).
(1)化简
;
(2)计算:
;
(3)若
,
,求
的值.
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98bddfc631a91e4d313cd511ca7c0310.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42f69adce1ce8b852a0bd68d4790153.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/337b3db9e7d2e403299dc46e55b65d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c32ddda27016fdb7362a1b99cc2a4af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0113fd4c7d157757571f9a009e02af.png)
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10 . (1)求值:
;
(2)解关于x的不等式:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc4e8da2aa58dcd65a640cfd86a783ee.png)
(2)解关于x的不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c94c161dc29441bb40cfbbe7c107e7d.png)
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