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解题方法
1 . 下列命题中正确的是( )
A.已知函数![]() ![]() ![]() ![]() ![]() |
B.已知定义在![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.函数![]() ![]() ![]() ![]() ![]() |
D.函数![]() ![]() ![]() |
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2 . 已知函数
.
(1)讨论
的单调性;
(2)设
,若函数
的两个极值点
恰为函数
的两个零点,且
的范围是
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5197dfd4017ba3d8cacfdb92b68ed2d1.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e3fb57a44ad1242bd15e4b09bf8e80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918611f83cead72b29416684934ce2c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f6dd12056eadde0d766567ca83445b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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3 . 在平面直角坐标系
中,抛物线
与
轴交于点
,抛物线
的顶点为
,直线
.
(1)当
时,画出直线
和抛物线
,并直接写出直线
被抛物线
截得的线段长;
(2)随着
取值的变化,判断点
,
是否都在直线
上并说明理由;
(3)若直线
被抛物线
截得的线段长不小于2,结合函数的图象,直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d2292b9b81580718770d52fa7d9670e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de14c98dff0e1fb25a27c92e3f35a0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/5/1d269f71-365e-45f4-9193-fb01e02f6f94.png?resizew=203)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(2)随着
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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19-20高二·浙江·期末
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解题方法
4 . 若对圆
上任意一点
,
的取值与
、
无关,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a1a9410da8e3e67a8472aa5829d298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a5be3dab006f76df2596fccea4c652b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-03-05更新
|
610次组卷
|
5卷引用:【新东方】新东方高二数学试卷302
(已下线)【新东方】新东方高二数学试卷302江西省吉安县二中2019-2020学年高二上学期期中考试数学试题(已下线)【南昌新东方】江西省南昌市民德中学2020-2021学年高二上学期期中数学试题16山西省山西大学附属中学、汾阳中学2020-2021学年高二上学期12月月考数学(理)试题四川省广安市第二中学校2022-2023学年高二上学期第二次月考数学(理)试题
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5 . 函数
.
(1)根据
不同取值,讨论函数
的奇偶性;
(2)若
,对于任意的
,不等式
恒成立,求实数
的取值范围;
(3)若已知
,
. 设函数
,
,存在
、
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db58afeac1cfe83233a8887e16f59b7.png)
(1)根据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa43aa41923960f8af7e8f1b1bd1695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7aede2e847d081811f62ce462906167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64587952d138b00a1c463df835f5500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28e384ba050b238e11f7c74d3002aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e8dc00cdc96860c9cbf8ac09677fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2019-12-09更新
|
659次组卷
|
3卷引用:上海市新川中学2018-2019学年高三上学期10月月考数学试题
名校
解题方法
6 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若对任意
,不等式
恒成立,求
的最大值;
(3)对于函数
,若
,
,
,
为某一三角形的三边长,则称
为“可构造三角形函数”,已知函数
是“可构造三角形函数”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aeaac706bcdd57fe55819cd4a7b1e58.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2800d0f4f1b3817b42b6361249a04bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e00c2eb3d8e10a666207b70817feb13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)对于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f65a85254de1d32442975edd9ffcca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4b9b582f8426f1269b54ee910b97f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b49570402aa09e78a4b821c60e2e6881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/013e26afc70f2ee073f32b9ab9277216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2020-11-30更新
|
1740次组卷
|
4卷引用:湖南师范大学附属中学2020-2021学年高一上学期期中数学试题
湖南师范大学附属中学2020-2021学年高一上学期期中数学试题广东省汕头市金山中学2020-2021学年高一上学期期末数学试题(已下线)专题4.2 由函数性质求参数取值范围、解函数不等式 B卷-2021-2022学年高一数学单元卷模拟(易中难)(2019人教A版必修第一册)(已下线)期中重难点突破专题01-【尖子生专用】2021-2022学年高一数学考点培优训练(人教A版2019必修第一册)
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解题方法
7 . 已知
,
.
(1)若
,求不等式
的解集;
(2)若不等式
对
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3363ec4cfac92180fe6eb0215a2bab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc6cf993b9614fd187e84029e55eeb38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfea60a0b2e13c123f862f15d6c9485b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
8 . 已知函数
,
的解集为
,若
在
上的值域与函数
在
上的值域相同,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0317cf94b95af41d0c6713418f20fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7d227791735377cb0c5644bd895fe4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 函数
,关于
的不等式
的解集为
.
(Ⅰ)求
、
的值;
(Ⅱ)设
.
(i)若不等式
在
上恒成立,求实数
的取值范围;
(ii)若函数
有三个不同的零点,求实数
的取值范围(
为自然对数的底数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed1e73e4681659c1113ff5b08f40801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ed09256650b9bf798c9c3efe23207a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881fe2df23c5a0fe1d1fecbe9ffa55fb.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3029a39fe6d67da0c12f68fd19e155.png)
(i)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ec84bfd0f3d97f1d42d3fdd511874b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276d2d40ef25226284cfec86ecdbccbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(ii)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e698e85ea5413d21407c4a75538c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
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2020-02-13更新
|
556次组卷
|
3卷引用:四川省攀枝花市2019-2020学年高一上学期期末数学试题
名校
10 . 已知函数
(
且
),若存在实数
,
(
),使得
的解集恰好为
,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33873bf3b461ba9616ed7b05fab81547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4610754dff007c541aa4887d8705329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be35b4d8f52e8f440297683c3178e22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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