名校
1 . (1)解不等式组:
(2)先化简,再求值:(
-
)÷
,其中x=
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731bc155992954c7899fb0669576e594.png)
(2)先化简,再求值:(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b60b122e651b49f676e07bd8c815006f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76241e782e13eeee7c187507778aecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b05e238548dc202137a63d8b20ff277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
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2 . (1)化简求值:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28d061ad25fb0a0e2918c85ffe17ad4.png)
____________ .
(2)方程
的解![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28d061ad25fb0a0e2918c85ffe17ad4.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28db4425b17092b429bf16bc7321b433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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3 . 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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4 . (1)计算
;
(2)解不等式组:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82acc9767819fdd0ac30037a4818b18f.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c2b0c93c890719c683bad6626fa7df.png)
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5 . (1)计算:
.
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37a3bda6b01e0ba1ae371376e744e14.png)
(2)解不等式组:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ad7595a8ee68167572656178331c02.png)
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解题方法
6 . 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
7 . (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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8 . (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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9 . 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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10 . 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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