1 . 已知函数
.
(1)求
的定义域;
(2)判断
在其定义域上的单调性,并用定义证明;
(3)若
,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abbb5e1dc8518091758053c05d198f45.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36b234ba460321e811de1729eadd4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c8f0e74da7518ef9669f25829cdf77.png)
您最近一年使用:0次
名校
2 . 已知函数
.
(1)求函数
的定义域;
(2)试判断
的单调性,并说明理由;
(3)定义:若函数
在区间
上的值域为
,则称区间
是函数
的“完美区间”.若函数
存在“完美区间”,求实数b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643afde39807dc2d84f1611ff37dbc0a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)定义:若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1193677fddc130ea4137d51a8740a5.png)
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2024-02-05更新
|
166次组卷
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2卷引用:山东省济宁市2023-2024学年高一上学期期末质量检测数学试题
名校
3 . 已知
,全集
,集合
,函数
的定义域为
.
(1)当
时,求
;
(2)若
是
成立的充分不必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f783fadc2eb44608148626e42b051272.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89b070cea375391e55f80f7c9d20715e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729209c6507e934c93cac18443152b90.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-01-10更新
|
509次组卷
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2卷引用:山东省淄博市第七中学2023-2024学年高一上学期1月月考数学试题
名校
4 . 已知函数
的图象经过点
,函数
.
(1)求n的值;
(2)求
的定义域;
(3)若
,
在区间
上的值域为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd4c9b962d639e0d1c631c2d78a62eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8503634b88e13fac38740f505bf92110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2649ad25e510ff9d18b7b50a3bb01538.png)
(1)求n的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be23b1d40d59f429f2f90c814815491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d394b41829bf97f65f64515b5257a3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-12-30更新
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4卷引用:山东省跨地市多校2023-2024学年高一上学期模拟选课走班调考(12月)数学试题
解题方法
5 . 已知函数
.
(1)求该函数的定义域;
(2)求该函数的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc2c01dfc8409c110071016a502551c8.png)
(1)求该函数的定义域;
(2)求该函数的单调区间.
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2023-12-30更新
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名校
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb99743f0eb24f160397f7c485cfceb2.png)
(1)求
的定义域;
(2)判断
的奇偶性并予以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb99743f0eb24f160397f7c485cfceb2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023-12-29更新
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5卷引用:山东省临沂第十八中学2023-2024学年高一上学期第三次月考考前模拟数学试题
名校
解题方法
7 . 函数
.
(1)如果
时,
有意义,求实数
的取值范围;
(2)当
时,
值域为
,求实数
的值;
(3)在(2)条件下,
.解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb88fb375d02a3df6adb244ee0951811.png)
(1)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047056c99b39c70fa40d3c8178e5b631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5f421939ee855f25927e7570d82c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)在(2)条件下,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bdad17ef1ffe290cb61f287c86ffbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08455bb2bece79941d2633d9bc17a4af.png)
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解题方法
8 . (1)已知集合
,
满足
,
,求实数
,
的值;
(2)已知集合
,函数
的定义域为
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217146b4cfbfc1d2f908d4983e07a615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9b277d36b8e589e213c43fac363ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f7b188643a06bca086fed5e9f4e30f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765f010f3a17eb45160d5bff35b4dc06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094cf678aaaef6cb5889031266f771a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50450596e5e45cd3816f0e4cbdec493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-11-23更新
|
259次组卷
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3卷引用:山东省济南市历城第一中学2023-2024学年高一上学期11月期中数学试题
名校
解题方法
9 . 已知函数
(
且
)的图象过点
.
(1)求
的值及
的定义域;
(2)判断
的奇偶性,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/327c2fb70901d7d43975c628e929bf97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f935fa5d0ae1b208aff21aa468ecf8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2023-11-17更新
|
1577次组卷
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5卷引用:山东省青岛市第十七中学2023-2024学年高一上学期期中数学试题
山东省青岛市第十七中学2023-2024学年高一上学期期中数学试题山东省济宁市微山县第二中学2023-2024学年高一上学期第三学段教学质量检测数学试题(已下线)4.4 对数函数(10大题型)精练-【题型分类归纳】(人教A版2019必修第一册)四川省成都市石室阳安学校2023-2024学年高一上学期12月月考数学试题广东省揭阳市2023-2024学年高一上学期期末教学质量监测数学试卷
名校
10 . 设函数
,
,且
,
.
(1)求
的值及
的定义城;
(2)判断
的奇偶性,并给出证明;
(3)求函数
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/931ea2b356b28c771ad4a49e919fa76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5d74d706d2e4392e25016e9101d07ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e27c24244b1fdbf1455087c2ebf41c8b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
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2023-09-05更新
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6卷引用:山东省东明县第一中学2023-2024学年高二上学期开学检测数学试题
山东省东明县第一中学2023-2024学年高二上学期开学检测数学试题山东省泰安新泰市第一中学(弘文部)2023-2024学年高三上学期第一次质量检测数学试题(已下线)专题4.6 指、对数函数的综合应用大题专项训练-举一反三系列重庆市荣昌中学校2023-2024学年高一上学期12月月考数学试题(已下线)第6章 幂函数、指数函数和对数函数章末题型归纳总结 (1)-【帮课堂】(苏教版2019必修第一册)(已下线)第四章 对数运算与对数函数章末测试--同步精品课堂(北师大版2019必修第一册)