1 . 已知函数
.
(1)证明:
;
(2)当
时,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9268a13a72eacb0d59358249667be1cc.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2608a57caffde627dbf140ca22a2ff8a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e96cc112a53421f3e85f4b59f29d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2020-01-13更新
|
358次组卷
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8卷引用:福建省泉州市2019-2020学年高三上学期期末质检文数学试题
解题方法
2 . 已知函数
.
(1)求
的最大值
;
(2)若
且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77dc970574220f8ca0356bfab52c53d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4796ea9a2612ae5989650beea4a9543f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab04de6651256f6281e9f4c1dc3c7955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9eb1bf889edbd8a221c785573f87086.png)
您最近一年使用:0次
名校
解题方法
3 . 已知
.
(Ⅰ)当
时,求不等式
的解集;
(Ⅱ)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/087a78cc3f8a4f6506499b9d167cddbe.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dd456469aaa6dafb1e275183d217435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b331267caee5ea3a36a0c6d36e0c83a.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f00f997ae12c30f551adb834e1d7ef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0175d126d91c262b3b6fc060280e081.png)
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2019-07-09更新
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1091次组卷
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3卷引用:福建省宁德市2018-2019学年高二下学期期末数学文试题
4 . 已知函数f(x)=|ax﹣1|﹣|2x+a|的图象如图所示.
(1)求a的值;
(2)设g(x)=f(x
)+f(x﹣1),g(x)的最大值为t,若正数m,n满足m+n=t,证明:
.
(1)求a的值;
(2)设g(x)=f(x
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e04e25b790205d5bbff8f68f85ed3e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e71683443426a02a40c3e5407fe939.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/5/517bbed5-6c0e-40ae-8d2b-bb292f7097a7.png?resizew=133)
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2019-04-01更新
|
1105次组卷
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10卷引用:【省级联考】福建省2019届高三模拟考试数学(文)试题
【省级联考】福建省2019届高三模拟考试数学(文)试题【省级联考】福建省2019届高三模拟考试理科数学试题【市级联考】广西南宁市2019届高三毕业班第一次适应性测试数学(理科)试题【市级联考】广西南宁市2019届高三毕业班第一次适应性测试数学(文)试题江西省临川一中,师大附中,南昌二中,临川二中等九校重点中学2019届高三第三次联考数学理科试卷江西省临川一中,师大附中,南昌二中,临川二中等九校重点中学2019届高三第三次联考数学文科试卷【市级联考】辽宁省辽阳市2019届高三下学期一模数学(理科)试题河南省许平汝联盟2021-2022学年高三下学期4月模拟考试文科数学试题河南省许平汝联盟2021-2022学年高三下学期4月模拟考试理科数学试题河南省鹤壁市浚县第一中学2021-2022学年高三下学期4月考试文科数学试题
名校
5 . 已知函数
.
(1)当
时,解不等式
;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f1bcf7ac45a798633b84ab5be4c9ed0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3061bb4c726f3a1734a0d1d084b58f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8e96a8c86d287ffa839c51a450d48a.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99e0d8bdabeb382b2d9d522dfb80423d.png)
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名校
6 . 已知
是常数,对任意实数
,不等式
恒成立.
(1)求
的取值集合;
(2)设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5213deaef2d3a60b5645c30c18605b38.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66eba129d92ede31b728e2590c4db2a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662b7fcfdd3f9de2f2d94d1d89b00b98.png)
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2018-02-09更新
|
461次组卷
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6卷引用:福建省三明市第一中学2018届高三上学期期末复习(二)数学(文)试题
福建省三明市第一中学2018届高三上学期期末复习(二)数学(文)试题【全国百强校】福建省三明市第一中学2018届高三数学(文)试卷二湖北省荆州中学、宜昌一中等“荆、荆、襄、宜四地七校考试联盟”2018届高三2月联考数学(文)试题1(已下线)2018年高考二轮复习测试专项【苏教版】专题十 选修内容湖北省荆州中学、宜昌一中等“荆、荆、襄、宜四地七校考试联盟”2018届高三2月联考数学(文)试题2(已下线)2018年高考数学备考中等生百日捷进提升系列(综合提升篇) 专题07 选讲内容
7 . 选修4-5:不等式选讲
设函数
.
(Ⅰ)求函数
的值域;
(Ⅱ) 若函数
的最大值为
,且实数
满足
,求证:
.
设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f57c2e6cdc3ab5859d6766bf702adf2.png)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/a4216fc01814766a8ed1458996f028d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa5135427c9bd465bbc5e8174ee99c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc79dcc0c67a7423bede19ebe9134c2f.png)
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8 . [选修4—5:不等式选讲]
设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7c8de6da83ee0cc1c4489e3aafae49.png)
(1)解不等式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9519296f2b7011bf954015d29e8ec82d.png)
(2)对任意的实数
,若
求证:
设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7c8de6da83ee0cc1c4489e3aafae49.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9519296f2b7011bf954015d29e8ec82d.png)
(2)对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b5d52ec85b22b60d3a1cefcca29056a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6224c03dcaeb8bfd405a0425575475.png)
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2017-11-30更新
|
357次组卷
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7卷引用:福建省福清西山学校高中部2020届高三上学期期中考试数学(文)试题
9 . 选修4-5:不等式选讲
(Ⅰ)求
的值;(Ⅱ)若
求证:
.
已知不等式 的解集为
.
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e3d325f31006e62d95d8290aeea4731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120b6fbae6d3879fa059e02e505ab8a7.png)
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10 . 选修4-5:不等式选讲
已知
.
(1)求
的解集;
(2)若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7786dbdb8a4aa4787a22d8dcbe1087.png)
),求证:
对![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ef1201b7a77316b3b7a18507c90763.png)
,且
成立.
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df3f1aa5000bf4a627230adb9deba0d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5f86c2a57c46c533068eaa1525b7a3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7786dbdb8a4aa4787a22d8dcbe1087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc86239c097f5dc9acf0a07cec0ba001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31ef1201b7a77316b3b7a18507c90763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
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2017-05-29更新
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2卷引用:福建省宁德市2017届高三毕业班第三次质量检查数学(文)试题