1 . 已知函数
.
(1)求不等式
的解集;
(2)若不等式
对任意
恒成立,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572659736477696/1572659742957568/STEM/95ab1800784544df9e92f22e3594c3b8.png)
(1)求不等式
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572659736477696/1572659742957568/STEM/b2e1b52f5fc74edbac801d7d9b248f42.png)
(2)若不等式
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572659736477696/1572659742957568/STEM/c22b08ed1e9c4e318d16fd0feb73e3fe.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572659736477696/1572659742957568/STEM/99b6b529c79a42729bd31dfbc149446d.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572659736477696/1572659742957568/STEM/1c404fa772af4700833e93cb02fe61e2.png)
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2 . 选修4-5:不等式选讲:
设函数
.
(I)证明:
;(II)若
,求
的取值范围.
设函数
![](https://img.xkw.com/dksih/QBM/2016/5/3/1572613414436864/1572613420867584/STEM/5544d20ee85945cfab03b06ad54903a5.png)
(I)证明:
![](https://img.xkw.com/dksih/QBM/2016/5/3/1572613414436864/1572613420867584/STEM/cdf2c541b40643adbcaa5b9551e17a5e.png)
![](https://img.xkw.com/dksih/QBM/2016/5/3/1572613414436864/1572613420867584/STEM/4bb66d6f669d4d92906be9087a5048f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 设函数f(x)=
的最大值为M.
(I)求实数M的值;
(II)求关于x的不等式|x一
|+| x+2
|≤M的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7658901f97857e1556c65445935c6bfe.png)
(I)求实数M的值;
(II)求关于x的不等式|x一
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
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解题方法
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a05df8edae997c5ab235e54755ed33.png)
(1)解不等式:
;
(2)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a05df8edae997c5ab235e54755ed33.png)
(1)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60086a3f9eb4e4d41554eec541529ffc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f271095babc1484f40f6a5ccb30af33.png)
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解题方法
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a297ddd23e19d757224bfb74148ee48.png)
1.若不等式
有解,求实数
的最小值
;
2.在(1)的条件下,若正数
、
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a297ddd23e19d757224bfb74148ee48.png)
1.若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aaee11552fe4c0863c104364d923359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
2.在(1)的条件下,若正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a8f8e82bd0e17da661a4f7f7b856a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669a6ef70d034f26558d942b877dbefb.png)
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6 . 已知函数
,且关于
的不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9e93adab0cecc867a5d2edae5fdfcd.png)
的解集为
.
(1)求实数
的取值范围;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecbd5a99b8b0db30474ef8981f5e037d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9e93adab0cecc867a5d2edae5fdfcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f7f094e09ee6c70253de52e17816c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77d73bcd16ffeafb65325d50dd24c04f.png)
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7 . 选修4-5:不等式选讲
已知函数
,
.
(1)解不等式:
;
(2)当
时,
恒成立,求实数
的取值范围.
已知函数
![](https://img.xkw.com/dksih/QBM/2016/3/3/1572516162592768/1572516168818688/STEM/09254b12f78e4e72b3348e5daf980f00.png)
![](https://img.xkw.com/dksih/QBM/2016/3/3/1572516162592768/1572516168818688/STEM/cf3adab0e4534b24ac71ebd3692214bc.png)
(1)解不等式:
![](https://img.xkw.com/dksih/QBM/2016/3/3/1572516162592768/1572516168818688/STEM/9785d0c1ac0c440c8c4c7e42a980c115.png)
(2)当
![](https://img.xkw.com/dksih/QBM/2016/3/3/1572516162592768/1572516168818688/STEM/af148435eb1f495bb8c07d92633d6cee.png)
![](https://img.xkw.com/dksih/QBM/2016/3/3/1572516162592768/1572516168818688/STEM/b5b62a8e0a434e78a150c548016a3ce1.png)
![](https://img.xkw.com/dksih/QBM/2016/3/3/1572516162592768/1572516168818688/STEM/7be86eed4d61405fa8e7cbfd527f17b9.png)
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8 . 已知函数
.
(1)求函数
的最小值
;
(2)在(1)的条件下,设
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d5418d7a082fccee2cadd3ad9c08ff.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)在(1)的条件下,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe686212eb537452cf1889164a836f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f371d431b6c91972b742c426c8a81ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b608c5092ce019dd876047f4648f5da.png)
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5卷引用:2016届江西省南昌市二中高三上第四次考试理科数学试卷
2016届江西省南昌市二中高三上第四次考试理科数学试卷【全国百强校】黑龙江省哈尔滨师范大学附属中学2019届高三上学期期中考试数学(理)试题(已下线)2018年12月23日 《每日一题》高考理数一轮复习-每周一测(已下线)2018年12月23日 《每日一题》高考文数一轮复习-每周一测(已下线)2019年12月22日《每日一题》一轮复习文数-每周一测
9 . 设函数![](https://img.xkw.com/dksih/QBM/2016/1/4/1572414134927360/1572414140809216/STEM/6fc3f57ddd4248a59800dea73970dab2.png)
(1)当
时,求函数
的最小值
(2)若
对任意实数
恒成立,求实数
的取值范围
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572414134927360/1572414140809216/STEM/6fc3f57ddd4248a59800dea73970dab2.png)
(1)当
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572414134927360/1572414140809216/STEM/5aac91d66c814990a0806d81ee39fa7d.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572414134927360/1572414140809216/STEM/64bb0088f4ca4fb1bb62704454b1fd8a.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572414134927360/1572414140809216/STEM/469503d454514ef9950bbf68d05e945a.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572414134927360/1572414140809216/STEM/e7a21321eb7c41068a10ea6bfcc1e3f5.png)
![](https://img.xkw.com/dksih/QBM/2016/1/4/1572414134927360/1572414140809216/STEM/2c8019e21e6249e9bb5afaf88e7eb9ec.png)
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10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501f618cac9c3c9edb01470ac5aed8dd.png)
(1)当
时,求函数
的定义域;
(2)若对任意的
,都有
成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501f618cac9c3c9edb01470ac5aed8dd.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2608a57caffde627dbf140ca22a2ff8a.png)
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