已知函数
.
(1)解不等式
;
(2)若不等式
有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f949e8a3cf28b8e7099c10dd0d65ee43.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2180e18416d40abb243bd23984e7aba.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82fe3ffa40447c48de7b4009a722f096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2017-04-27 22:13:30
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解答题-证明题
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适中
(0.65)
名校
【推荐1】选修4-5:不等式选讲
已知
.
(Ⅰ)解不等式:
;
(Ⅱ)若函数
的最大值为
,且正数
满足
,求证:
.
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab690aafd5c0cc323ec379d22dc585ac.png)
(Ⅰ)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256f3981024e53f373a80aad40e994ae.png)
(Ⅱ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92915438c309af34ffaf9d4beb98e60c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ee56008e611262efe743399fada8ddc.png)
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【推荐2】已知函数
.
(1)求函数
的最小值
;
(2)若正实数
,
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d53bb5e14f7f001900d142e13e6b2d7.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若正实数
![](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/50d740b6da22bede219b13f233ad6e99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db61a4287c7c0c47f89adaefaa5f6f6.png)
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解题方法
【推荐1】已知函数
.
(1)若
,解不等式
;
(2)若存在实数
,使得不等式
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d920672bee32dc4f8b36da6a3b6cda.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026eabca9746a7c087a255d55623f011.png)
(2)若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74f217302b22bfe4b43b1d9186c07359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
【推荐2】设函数
.
(1)解不等式
;
(2)求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19778e999ac9927ee65b88d4439abac.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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解题方法
【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10905f5554f6d0b46a902f8bf722ceba.png)
(1)若
的解集为
,求实数
的值;
(2)当
且
时,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10905f5554f6d0b46a902f8bf722ceba.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c996a4c596f4a613b32563626855a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0581fcaa2dcf917479091fded7f5b21b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f48697046ef1531aaaf9e18cfb27254.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e14727ca623ebd50616fb6a36d01c5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae028e7006bc28f608c93c826bba75d.png)
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解题方法
【推荐2】设
,若
的解集为
.
(1)求实数
的值;
(2)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/145bf6419b7932313e025ec4649ace34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19364b6e3b5bd68380d222a2156d4aa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e6bc34e83b7c5fc15714aa99e3a21f.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
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【推荐3】(1)求不等式
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5cc5ac6a77e895c009f1e1966e2346e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2349e3509799b01ce88ce91a0d7dda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a080262699cf8f8cf0219db8a7fb6aa2.png)
(3)若不等式
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解题方法
【推荐2】已知函数
,(
,
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(2)若不等式
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e662ac65a8888d53333b6e90457dc389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4eb10694a54696e4295d1887d27005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bdc64a61c6ee87cf1f86ba921f82202.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a9528968623f1427a7fae32c2371ed1.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4509817be39bef4bcde115996ee39e8.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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