名校
1 . 已知函数
,若关于
的方程
有4个不同的实根
、
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c407c501c66aa304839fe61ff531d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2961ff859ef31f3a71c69841dc64176f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f176de330ed3f93fee6f5a398de57c3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-02更新
|
538次组卷
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4卷引用:浙江省东阳市外国语学校2023-2024学年高二下学期5月月考数学试题
浙江省东阳市外国语学校2023-2024学年高二下学期5月月考数学试题江西省宜春市宜丰中学2023-2024学年高一下学期6月月考数学试题湖南省长沙市明德中学2023-2024学年高一下学期期中考试数学试卷(已下线)模型12 对数函数绝对值 “积定法”的零点模型(高中数学大模型)
名校
2 . 已知函数
.
(1)若函数
有4个零点
,求
的值;
(2)是否存在非零实数
,使得函数
在区间
上的取值范围为
?若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2bb53eb0d230467dd382396a09aebc.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d2b6f27f15d72aa4075b17a7e235c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c8d2cde628b9fc745ccba9dcafc0738.png)
(2)是否存在非零实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b78bf4830918cbcdc87a1ae678fbc5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f51710d2ab0ac4513b47fc37e8d4b14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,若关于x的方程
有4个实数解
,且
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8df36591aa37a1797202ea979694d35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976d18a5396ba232f0aa38d136f1d749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0e2d75b5268cda6f82aeb10a70d970.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 设函数
是偶函数.
(1)求
的值;
(2)设函数
,若不等式
对任意的
恒成立.求实数
的取值范围;
(3)设
,当
为何值时,关于
的方程
有2个实根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387e25c33a7668bfba0139ca7bf687b7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223729418bb32433adeaa2a5f986b5d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36f7ab55b63c08280a41fb64366b819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3368388525e30cb7179909b03184eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/387fb3e25ad456f2263df40b0cdaf915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2887af6ad31c2e74c434f2d8c60d8a0.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数
是定义在
上的奇函数.
(1)求实数
,
的值:
(2)试判断函数
的单调性并用单调性的定义证明;
(3)若对任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c848059c46228fdab5d637bc8b1aa99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fad48c242b2320092f2071921696bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9904b1d9ad133124008f227fadd8992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-12-24更新
|
975次组卷
|
2卷引用:浙江省温州市鹿城区温州人文高级中学2023-2024学年高一上学期12月月考数学试题
名校
6 . 已知函数
是奇函数,不等式组
的解集为
,且
,
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0945bdc83f8e4c60d3f024ed2dc8f662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81080d1142aa16434cdde43d23937033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f803a468e5d66004e57372a5bf2c5e1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6270bb08b90f72d5671ab8225f356c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a116cd52343795041a8543759ed9fa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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2023-12-23更新
|
378次组卷
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2卷引用:浙江省丽水市三校联考2023-2024学年高一上学期12月月考数学试题
解题方法
7 . 已知定义在
上的函数
,其中函数
满足
且在
上单调递减,函数
满足
且在
上单调递减,设函数
,则对任意
,均有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3abec09d3181d4ec3b20bf169242696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113c2a2712c6394ed86024edc460d70b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/189b2da6c420bf8f8900002d14f65f72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f5d78999c004da853b9ce5903fd2e20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知函数
,其中
为常数.
(1)当
时,求函数
的单调区间;
(2)当
时,存在2023个不同的实数
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2598ef41d7eff2388408b405ebce0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb0e6507c547d80721f03d411ad9b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ad2203ef6ef4b876009e2d22a04a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
9 . 已知函数
,则函数
的零点为__________ ;若关于
的方程
有5个不同的实数根,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17e0cf9fe1ad775e0c18dc9dbab9992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2895268a24b773d8498d0c8cf02dd7eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
,若
的值域为
,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9beb2059f574716ac94bce741d0edf0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc7bc07dde43da45e75bb38793257f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
2023-12-09更新
|
640次组卷
|
4卷引用:浙江省杭州市萧山区第六高级中学2023-2024学年高一上学期12月月考数学试题
浙江省杭州市萧山区第六高级中学2023-2024学年高一上学期12月月考数学试题江苏省徐州市徐州高级中学2023-2024学年高一上学期期中数学试题(已下线)专题04 函数的性质与应用1-期末复习重难培优与单元检测(人教A版2019)湖北省武汉市第二中学2023-2024学年高一上学期期末数学试卷