1 . 已知函数
.
I)若
,解不等式
;
(II)若
均为正实数,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e73c1ac12276e6b26ed7d7a5d8e19f4.png)
I)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faad79290e332d5c7eff9b0cf3348147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6009d51b897a4f898b57e483234f391a.png)
(II)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa91bdd3267459dd45bfa5c596009cc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc7e505a7b06ea5dfdee3ce65a9fcfe.png)
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2018-06-14更新
|
162次组卷
|
2卷引用:山东省临沂市2017-2018学年高二下学期期中联考数学(文)试题
名校
2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9798470df054954ada6647a77749e174.png)
(1)当
,求函数
的定义域;
(2)当
时,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9798470df054954ada6647a77749e174.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302337058242c7b78e3eb4ac7210b7ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3368eae7f3f82f7037c19594572c2a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0843a8db6302a6b711ba76b96566b57e.png)
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2018-06-09更新
|
314次组卷
|
5卷引用:【全国百强校】山东省沂水县第一中学2018届高三第三轮考试数学(理)试题
3 . 选修4-5:不等式选讲
已知函数
.
(1)求不等式
的解集;
(2)若对于任意的实数
恒有
成立,求实数
的取值范围.
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c4a13a6acfb6fee85dd74877a50b6c.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af7e5cd65bc9d3051c2c72311ca8f88d.png)
(2)若对于任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edea9ec39226a4ea7c3df871949c97ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 不等式
的解集是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd0742fd32921956f7e81d150b597f9.png)
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5 . 若
,则下列不等式中一定成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0230292f5a372ae9165e4bc81d855c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
6 . 设函数
,
.
(1)当
时,解不等式:
;
(2)若关于
的不等式
的解集为
,且两正数
和
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda0d32c2d821c5f9d967f0c9470bc68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b5857095beeca5c7e3111a4df36428f.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74dbd58b21a94cf93f4623c07452b102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb347db7ecbcee565d6055df284d4a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5873c01192b7d33b7483f444f90b5b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a7ca80cf04b6b4a92d863f97d1a9c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c6e884a332a3e34deafaf987506cf7.png)
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名校
7 . 已知不等式
的解集为
,则
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01f74d1c3026de2ff4ded3ceeb83826c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
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13-14高三上·山东威海·期中
解题方法
8 . 已知函数
和
的图象关于
轴对称,且
.
(1)求函数
的解析式;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414abfab060790dda28b90793dfc4439.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a12dc20a979886b40807311147e7f54.png)
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