解题方法
1 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870c406c542fcfa425c6b1a4cdadf197.png)
(1)若
,求
;
(2)若
是
的必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870c406c542fcfa425c6b1a4cdadf197.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9321649453ceea20f0fb991333602c0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-01-31更新
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2卷引用:江西省部分学校2023-2024学年高一上学期1月期末教学质量检测数学试题
解题方法
2 . 已知定义在
上的函数
满足
,
,且
.
(1)求
的值;
(2)判断
的奇偶性,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e876debd1fc7a6f1f458c757f6e9f681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bc9c32ab68ddb51b1a4196f50081f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2024-01-29更新
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2卷引用:江西省上饶市北大邦实验学校2023-2024学年高一上学期期末质量检测数学试题
名校
解题方法
3 . 已知函数
.
(1)若
,且
,求函数
的值域;
(2)若
,都有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858681a1b579b3b09227ffcb606391f7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f851f9849dfe2c3306d20d06f712069d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c18946c8631ebbbf47a0fc02f4ba7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-01-29更新
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2卷引用:江西省部分学校2023-2024学年高一上学期月考数学试题
4 . 回答下面两题:
(1)计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a27710f7fc0ee5a40b20e2d6fe2a842.png)
(2)计算:已知
,则
=
(1)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a27710f7fc0ee5a40b20e2d6fe2a842.png)
(2)计算:已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4faebb708e3614d4cf8144fc49951757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dbb99046c45b769079eb98a08e83312.png)
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2024-01-29更新
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4卷引用:江西省部分学校2023-2024学年高一上学期月考数学试题
江西省部分学校2023-2024学年高一上学期月考数学试题重庆市黔江中学校2023-2024学年高一上学期11月月考数学试题(已下线)专题04 指数函数与对数函数1-2024年高一数学寒假作业单元合订本(已下线)4.1指数
5 . 按要求完成下列题目.
(1)若
,求
;
(2)计算:
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc804b5cd143b99adbe0be1ab06839a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0b24f755c35dd9edba43c168a9fa188.png)
(2)计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188342eb66abe31dfe4d442f155333ab.png)
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解题方法
6 . 已知定义域为
的函数
对于
,
,都满足
,且当
时,
.
(1)求
,并用定义法判断
在区间
上的单调性;
(2)是否存在实数k,使得关于x的不等式
,
恒成立?若存在,求k的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4a2b3998705e51dbade9ada0873b2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df6593a700bf3e89107556454666b787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e20628ae49696ef64df6698c972ec7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02ee2a1cb7cf7654aa6050ca20fab16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb9feeffdbbd6eef8b9c8a61aeb3ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8636ae03db4eaa9c8d413a001cf39c9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486e282537cf72c6908f7ecfa4ef4cee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae4a2b3998705e51dbade9ada0873b2b.png)
(2)是否存在实数k,使得关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d6c7eed76ea8b1b68f08cbe8de89d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e95ab6ce2369fa5338d1fa5589bfbc96.png)
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名校
解题方法
7 . 已知函数
.
(1)当
时,解不等式
;
(2)若
,
的解集为
,求
最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/939b11c9a275adcd01cdf818d11b5cc3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cfc27d13b4d07ade4729b481cc95735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd93ee03569849295ebde055410d1b84.png)
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2024-01-27更新
|
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2卷引用:江西省上饶市沙溪中学2023-2024学年高一上学期期末数学试题
23-24高一上·全国·期末
解题方法
8 . 已知函数
.
(1)判断函数
在
上的单调性,并用单调性的定义证明;
(2)求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3f58722394cad3df7234b543be4587.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bcb89f4d07b5e984b847eac2d4edc5c.png)
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名校
解题方法
9 . 已知定义在
区间上的函数
为奇函数.
(1)求函数
的解析式;
(2)判断并证明函数
在区间
上的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b1af5d4b930f8989cf63d44768621e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bca1576fdc8a2d58496a926d2f4070b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b1af5d4b930f8989cf63d44768621e.png)
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2卷引用:江西省上饶市广丰中学2023-2024学年高一上学期期末数学试题
名校
解题方法
10 . 已知函数
.
(1)判断
在
上的单调性,并证明;
(2)若
,且
,
,
都为正数,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b639ac9599358d08bd6e1c389ceb4.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5087c6cffc4d06a642c80266779bc1ab.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/583ba1df9316494e286f550b2a35d31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bb9ae14a9495733d41f701b674a7f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38308e27660bfabc1ae926615e05451d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff80ea83b3eed82989727032891f16fd.png)
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|
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2卷引用:江西省上饶市广丰中学2023-2024学年高一上学期期末数学试题