1 . 选修4-5:不等式选讲
已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/99d34336-b024-4825-aac1-761f798df515.png?resizew=229)
(1)当
时,作出函数
的图象,并写出不等式
的解集;
(2)当
时,若不等式
恒成立,求实数
的取值范围.
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e40b9df826ad8f427260ff628169b7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/99d34336-b024-4825-aac1-761f798df515.png?resizew=229)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667cb91683f94d0dcaf3d803fbfb6838.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d24227741bf427e6bd73490baf3c3d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-04-23更新
|
785次组卷
|
3卷引用:【全国市级联考】河北省衡水市全国普通高中2019届高三四月大联考文数试卷
名校
2 . [选修4-5:不等式选讲]
已知函数
.
(1)当
时,求不等式
的解集;
(2)若不等式
对任意的
恒成立,求
的取值范围.
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bde0ac47781edf94c2e9c92a0ef543f.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bf0995f32a13d0a9e423f3e88ab271.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc0fd755b073d03fcd44e6abb38de1b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb099907c15816b4b329715e80aea70f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-03-27更新
|
825次组卷
|
4卷引用:【全国百强校】河北省衡水市第二中学2019届高三上学期期中考试理科数学试题
名校
3 . 已知函数
,其中
.
(1)讨论函数
零点的个数;
(2)若不等式
在区间
(
)上的解集为非空集合,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ab7a9d3fe5f09ce3969ecb5a99ae99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b26d2fe18b7687c7ffa9d8b673e61c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c0b6ca237b90b49a91d9d74d007efdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d218992d1942266d7208e476d0c4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
.
(1)当
时,求函数
的定义域;
(2)若关于
的不等式
的解集是
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0496513fba3798ee5b9dfbacbbb2a040.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7a1d739890a8951586e23b78b035bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-01-18更新
|
425次组卷
|
3卷引用:【全国百强校】河北省遵化市堡子店中学2017-2018学年高二下学期期末考试(理科)数学试题
名校
5 . 函数
是定义在
上的偶函数,当
时,
;
(1)求函数
的解析式;并写出函数
的单调递增区间(不要求证明);
(2)求
在区间
上的最小值;
(3)求不等式
的解集;
(4)若
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db2b74d89854116e411c089d053df053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bba3c8d1fb704de3497ffdb5a0fac68.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3696c14fd7401ca2fd97865db4d9a2f.png)
(3)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665dc334a37e61c356b636604eb0f8c3.png)
(4)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94fa8494b0c7283a5a2daa6b78ea5113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
真题
6 . 设函数
.
(1)求
的单调区间和极值;
(2)是否存在实数a,使得关于x的不等式
的解集为(0,+
)?若存在,求a的取值范围;若不存在,试说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50640246dd3aeac0160d65668d80474.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)是否存在实数a,使得关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1312d640aa773779a34e9d50791ef5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229e67dd9fe978e48c221b0b9dc57f1c.png)
您最近一年使用:0次
2016-11-30更新
|
2177次组卷
|
7卷引用:2011~2012学年河北省衡水中学高三下学期理科数学试卷
(已下线)2011~2012学年河北省衡水中学高三下学期理科数学试卷2008年普通高等学校招生全国统一考试理科数学(辽宁卷)(已下线)专题3-6 导数压轴大题归类(1)-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)2008年普通高等学校招生考试数学(理)试题(辽宁卷)(已下线)第二篇 函数与导数专题3 洛必达法则 微点2 洛必达法则综合训练(已下线)第六章 导数与不等式恒成立问题 专题十一 利用洛必达法则解决不等式恒成立问题 微点3 利用洛必达法则解决不等式恒成立问题综合训练(已下线)专题14 洛必达法则的应用【练】
7 . 已知
,二次函数
,关于
的不等式
的解集为
,其中
为非零常数,设
.
(1)求
的值;
(2)若存在一条与
轴垂直的直线和函数
的图象相切,且切点的横坐标
满足
,求实数
的取值范围;
(3)当实数
取何值时,函数
存在极值?并求出相应的极值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54df3087bd2aad72ce146f773bd3ebb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab47b0622fe2a1abe6ad3945ef7f5b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/462fa1e56b680d96af1b34fafcb59475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e8b824d37914814ccc58b7cd92a4c2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d977fb6d13ca2e62dbdc66e31e4ff5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若存在一条与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585717465ee643978c6d8435fee342f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65853e90ccb598c5648bd0cc8bef0e86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2bc9cd8b29883a52e27a267a0227859.png)
您最近一年使用:0次
12-13高三上·河北衡水·阶段练习
8 . 设函数
(
),
.
(1) 将函数
图象向右平移一个单位即可得到函数
的图象,试写出
的解析式及值域;
(2) 关于
的不等式
的解集中的整数恰有3个,求实数
的取值范围;
(3)对于函数
与
定义域上的任意实数
,若存在常数
,使得
和
都成立,则称直线
为函数
与
的“分界线”.设
,
,试探究
与
是否存在“分界线”?若存在,求出“分界线”的方程;若不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/fc4e249d5fd24eb695105bb042005ace.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/39c1cba21390444eb81e688adbd9abc0.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/85141ab90d0a49aa8987c9e3e31f55a3.png)
(1) 将函数
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/3c0da225f1284eb99c2c691536754e92.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/7a7d521af57d47b3a281399bb1e79672.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/7a7d521af57d47b3a281399bb1e79672.png)
(2) 关于
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/2538df56e62a4fc295b07f191b4baecf.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/dcdef66d54bb4a0daf65ebcfd7341ce8.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/9685657796d745c5af1d457768c1375f.png)
(3)对于函数
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/52c243f4ef354dba895989064a8ad83d.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/5058a7bdd1fa4a1fb55e902d1d0c9045.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/2538df56e62a4fc295b07f191b4baecf.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/48e25cfb9ad54e659c4096f7e395654e.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/b9c97980c6a14adf8d5dae753894231c.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/d2ad2ee1fa234b029fc07077fd3c24ec.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/bb418d1edfa848f28071c98bbb8184ac.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/52c243f4ef354dba895989064a8ad83d.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/5058a7bdd1fa4a1fb55e902d1d0c9045.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/844066f053bd4917bc6a94a75063f975.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/1745175dd4f548f39a0d0ab19e2a3c97.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/52c243f4ef354dba895989064a8ad83d.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1570706054389760/1570706059927552/STEM/5058a7bdd1fa4a1fb55e902d1d0c9045.png)
您最近一年使用:0次
名校
9 . 已知函数f(x)=|2x﹣1|+|x+a|,g(x)=x+2.
(1)当a=﹣1时,求不等式f(x)
g(x)的解集:
(2)设
,且当x∈[﹣a,
),f(x)≥g(x),求a的取值范围.
(1)当a=﹣1时,求不等式f(x)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ff7942da6c3fc4005256fb1458557c0.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0a974c6dbd1b25e99411faec3732f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
您最近一年使用:0次