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1 . 解下列各题:
(1)化简:
;
(2)因式分解:
;
(3)计算:
.
(1)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f79be5e2674b36d26726981b33a444a.png)
(2)因式分解:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d2e419f1c21c97c6daf276bc057e6c.png)
(3)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb20fc73e7df6659487bf821a6206b5.png)
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2 . (1)解不等式:
;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e011b337fdb8459ca5006b772136c039.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5313aa9c8b693d100b1cf8f4d7231c83.png)
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3 . 已知不等式
的解是
,设
,
(注意分母)
(1)求a,b的值;
(2)求
和
(建议:先作数轴,再计算)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99cf6cc318632bf552d30b25f4d28b8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f2333e2a05532b97e14b912e331ec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3c937a8da260ce7dfc6fd1fc9030da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2301d7708a60ebf634af76bf123e0c.png)
(1)求a,b的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff39d1e9ee46fb95295cd5ab593bf14e.png)
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4 . 已知
.
(1)当
时,解不等式
;
(2)若
,解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408c35b47c51d5bbaee8cffd48f1a5ad.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
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2019-12-30更新
|
330次组卷
|
4卷引用:2014-2015学年重庆市部分区县高一下学期期末联考数学试卷
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5 . 已知函数
.
(1)当
时;解不等式
;
(2)若
,解关于x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4117d38a29541c528570be35f70288.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d375dfc0f9416db2bb414c0c53fc5f2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455e38ff53ede2508e4d9cb23f0b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
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2020-01-02更新
|
443次组卷
|
3卷引用:重庆市缙云教育联盟2023-2024学年高一上学期期末数学试题
6 . 设函数
.
(1)若
,解不等式
;
(2)若
,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d66c74b5a01f582735a43d39eadc31.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
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2020-02-21更新
|
222次组卷
|
2卷引用:重庆市重庆外国语学校2018-2019学年高一下学期期中数学试题
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7 . 分别计算下面两题
(1)化简:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6cacf91fe4118af82badc53d0575a7.png)
(2)化简求值
.
(1)化简:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6cacf91fe4118af82badc53d0575a7.png)
(2)化简求值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37af7244697119a2d4c699d1305d6f6.png)
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8 . 化简、求值
(1)计算:
;
(2)已知
,求
的值;
(3)已知
,求
的值.
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4bdbf0480674352895814cf8cf4eb2.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d08a92e6ed65682f54180581ed304a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18e996733a3bc36c904e37365141bdf9.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1201456f325525ffadfb41c82e4553.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec374754437b62aef65b36771511f2ae.png)
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9 . 化简求值,需要写出计算过程.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bdf0108ea0fe0b2ccc66b3a8a5f2430.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb9b85997fa24a6cb39107082c40262.png)
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解题方法
10 . 函数
对任意的实数a,b,都有
,且当
时,
.
(1)求
的值;
(2)求证:
是R上的增函数;
(3)解关于实数x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5b5f09650569f1846f451c09585728.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2180e18416d40abb243bd23984e7aba.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)解关于实数x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b6706a0de427b238c481d4bb5fcc692.png)
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