1 . 已知函数
则不等式
的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694a75e8461f7818f01a851c1a6a442e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7b374bf3914fda26405d52d2ceb4c8.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
2 . 已知
为正实数,且满足
.
(1)求
的最小值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74f028b275620f54d2e439d8beed9b9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2789e4dc57686f83a68e42c41eef19be.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa37772663b2aba2dbbcef9f101c165.png)
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2016-12-04更新
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4卷引用:2015届黑龙江省哈尔滨六中高三下学期第四次模拟理科数学试卷
3 . 选修4-5:不等式选讲
已知正实数
,
满足:
.
(Ⅰ)求
的最小值
;
(Ⅱ)设函数
,对于(Ⅰ)中求得的
,是否存在实数
,使得
成立,若存在,求出
的取值范围,若不存在,说明理由.存在
使
成立
已知正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188135432192/1572188141010944/STEM/cb96fb3d8c7c49e7a122df4f0e22024c.png)
(Ⅰ)求
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188135432192/1572188141010944/STEM/c6f650e48f6a4e90be8b1ed68d82b2c8.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188135432192/1572188141010944/STEM/7584254693af403bb5fd1c735b25c797.png)
(Ⅱ)设函数
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188135432192/1572188141010944/STEM/58e8a49eae794695a984b860cdadbb88.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188135432192/1572188141010944/STEM/7584254693af403bb5fd1c735b25c797.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188135432192/1572188141010944/STEM/27007c3d2d464c4bb422e86e62fc3ad0.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188135432192/1572188141010944/STEM/a61440c4e3de48aeb32e9ef3f3404d67.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188135432192/1572188141010944/STEM/27007c3d2d464c4bb422e86e62fc3ad0.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188135432192/1572188141010944/STEM/49670a2b582b4cc2a56f5b47c70ed98a.png)
![](https://img.xkw.com/dksih/QBM/2015/7/20/1572188135432192/1572188141010944/STEM/a61440c4e3de48aeb32e9ef3f3404d67.png)
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2016-12-03更新
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3卷引用:2015届黑龙江省哈尔滨市三中高三第四次模拟考试理科数学试卷
4 . 选修4-5:不等式选讲
已知函数![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333298688/STEM/614b40b4f6ac44a3bfbdc3357b00ee72.png)
(1)若
的解集为
,求实数
的值;
(2)当
且
时,解关于
的不等式
已知函数
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333298688/STEM/614b40b4f6ac44a3bfbdc3357b00ee72.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333298688/STEM/9998a483a7c14507abfed43a98e3492b.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333298688/STEM/4ad5265ca8834c7cbd66548ac700882a.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333298688/STEM/74cbb173c54d4f75a42c7536a6823077.png)
(2)当
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333298688/STEM/77d1eae3aa754f84b2a3f59f6769e260.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333298688/STEM/72fc2ea8ec6048a18d86ab20a50b94c2.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333298688/STEM/efc6e9edf6a34cda8152c006097d015b.png)
![](https://img.xkw.com/dksih/QBM/2015/6/15/1572122327072768/1572122333298688/STEM/1662e7ce9ec841ed83662b1704db5edb.png)
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2012·海南儋州·一模
名校
解题方法
5 . 设函数
.
(1)求不等式
的解集;
(2)若不等式
的解集是非空的集合,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90eff17d9160b11eb9567718e84a53f3.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f61db73a5a9bce4ece8259a4c7d29376.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fca1a25eafc9659fdec94bdefd08bbea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2016-12-02更新
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1780次组卷
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12卷引用:【全国百强校】黑龙江省哈尔滨市第六中学2018届高三下学期考前押题卷(一)数学(理)试题
【全国百强校】黑龙江省哈尔滨市第六中学2018届高三下学期考前押题卷(一)数学(理)试题黑龙江省哈尔滨市第三中学2019-2020学年高三综合题(七)数学(理)试题(已下线)2012届海南省儋州一中、洋浦中学等4校联考理科数学试卷(已下线)2013届内蒙古第一中学高三下学期综合检测(一)理科数学试卷(已下线)2012-2013学年山西省临汾一中高二下学期期中考试文科数学试卷2015-2016学年福建省莆田六中高二下期中文科数学试卷河南省郑州市第一中学2016-2017学年高二下学期期中考试数学(文科)试题【全国市级联考】辽宁省大连市2017-2018学年高二下学期期末考试数学(文)试题【市级联考】湖北省黄冈市八模2019届高三理科数学模拟测试题【市级联考】湖北省黄冈市2019届高三八模模拟测试卷(二)文科数学试题陕西省西安市西北工业大学附属中学2019-2020学年高二下学期5月月考数学(文)试题江西省上高二中2021届高三上学期第一次月考数学(理)试题
2012·黑龙江哈尔滨·一模
6 . 选修4-5:不等式选讲
已知关于
的不等式:
的整数解有且仅有一个值为2.
(1)求整数
的值;(2)在(1)的条件下,解不等式:
.
已知关于
![](https://img.xkw.com/dksih/QBM/2012/11/20/1571066050674688/1571066056441856/STEM/d320206896264739adb707bd4115f9d6.png)
![](https://img.xkw.com/dksih/QBM/2012/11/20/1571066050674688/1571066056441856/STEM/6fcf12e7c0d644649f6e10ff2833d9bd.png)
(1)求整数
![](https://img.xkw.com/dksih/QBM/2012/11/20/1571066050674688/1571066056441856/STEM/11d69a284ce5412da5ba291d14489710.png)
![](https://img.xkw.com/dksih/QBM/2012/11/20/1571066050674688/1571066056441856/STEM/55c9d3f42418464395f9d785471ce916.png)
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2012·黑龙江哈尔滨·三模
7 . (1)解关于
的不等式
;
(2)若关于
的不等式
有解,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2012/7/1/1570907793743872/1570907799478272/STEM/ee5b6eede9a8489fbd6e3290bd5f7295.png)
![](https://img.xkw.com/dksih/QBM/2012/7/1/1570907793743872/1570907799478272/STEM/a63d5d08ac7d4ab4b9e6a02e980c306b.png)
(2)若关于
![](https://img.xkw.com/dksih/QBM/2012/7/1/1570907793743872/1570907799478272/STEM/ee5b6eede9a8489fbd6e3290bd5f7295.png)
![](https://img.xkw.com/dksih/QBM/2012/7/1/1570907793743872/1570907799478272/STEM/8651e9406ef74e7a9993e0cef2450292.png)
![](https://img.xkw.com/dksih/QBM/2012/7/1/1570907793743872/1570907799478272/STEM/40b608ea43f243a28085b66b98b0ba33.png)
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2010·黑龙江哈尔滨·一模
解题方法
8 . 选修4-5:不等式选讲
已知函数
.
(1)解不等式
;
(2)若
的定义域为
,求实数
的取值范围.
已知函数
![](https://img.xkw.com/dksih/QBM/2013/1/22/1571106167414784/1571106173222912/STEM/b290c47c791b4190bdca050fdb89853a.png?resizew=201)
(1)解不等式
![](https://img.xkw.com/dksih/QBM/2013/1/22/1571106167414784/1571106173222912/STEM/5f1b11dbe37c4cffafb623d7a396e80e.png?resizew=60)
(2)若
![](https://img.xkw.com/dksih/QBM/2013/1/22/1571106167414784/1571106173222912/STEM/bc7652e1a9234c8b9792ea3f4aac2e63.png?resizew=112)
![](https://img.xkw.com/dksih/QBM/2013/1/22/1571106167414784/1571106173222912/STEM/24ef52b311a64a8487b484642db6f64f.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2013/1/22/1571106167414784/1571106173222912/STEM/554e4897ee904263ad0d4c6dd31da47b.png?resizew=17)
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