解题方法
1 . 已知函数
.
(1)当
=0时,函数
的值域;
(2)判断
的奇偶性,并证明;
(3)当
时,
的最大值为
,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d871e873f13ab4307a77a47acb9a925.png)
(1)当
![](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)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67336ccd79b321083fa8821e524c7467.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
2 . 已知函数
,
,
.
(1)若
为偶函数,求实数
的值;
(2)对任意的
,都存在
使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0938eef47463cfa69d30c304786e1518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab5f6e5d306adfd7352ceafbd3d18038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/152a39c30c0e2a9eea6a77550aa64802.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e15c2171c1be9ec394494ad822a048d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12965bbc260bdbb0df0a110e59fb8d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7e0c66b1580b6ced58738b026c978f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 函数
,方程
有三个互不相等的实数根,从小到大依次为
.
(1)当
时,求
的值;
(2)求符合题意的
的取值范围;
(3)若对于任意符合题意的
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f95842e86d20c4cfb0db08675cbc4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3047d4ab078dafc06c047bcbf0a6ffaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3c543b45884d75765b16c78bcd0e149.png)
(2)求符合题意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若对于任意符合题意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e18c65d75a24393e4d814da3b8f9f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2022-12-01更新
|
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2卷引用:重庆市南开中学2022-2023学年高一上学期12月月考数学试题
解题方法
4 . 已知
且满足
,若
恒成立,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22d812643e080d4d447fab7fe2ae2646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/384bcd5b965e5204e33ddbd1d45a9b47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014d657e1b5a76a69856e2ed972b9cb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
5 . 已知定义在
上函数
满足:
,且
,设函数
,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd88f5d28307dc4d1adb90d6d71611ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f77637492bcba6341843edd81788de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0711dac61dbea101202f8446111019e.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
名校
6 . 已知函数
,若方程
有4个不同的根
,
,
,
,且
,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34b704b2a188eae6397e52f1e54c0d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb101c5df08aa35ae24a6416840b199b.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3604274ad6707a906eba371a9e884144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad7e9997b1fc50a5c23ce55bf10ffe3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-06-23更新
|
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12卷引用:重庆市万州第二高级中学2021-2022学年高二下学期6月第四次质量检测数学试题
重庆市万州第二高级中学2021-2022学年高二下学期6月第四次质量检测数学试题湖南省长沙市周南中学2021-2022学年高一下学期分班考试数学试题河南省郑州市第十九高级中学2022-2023学年高二上学期开学文理分科考试数学试题吉林省白山市抚松县抚松县第一中学2023届高三二模数学试题四川省绵阳南山中学实验学校补习版2023届高三一诊模拟考试理科数学试题四川省眉山市仁寿县仁寿县铧强中学2023-2024学年高三上学期10月月考数学试题四川省眉山市仁寿县铧强中学2023-2024学年高三上学期10月诊断性考试文科数学试题(已下线)4.5.1 函数零点与方程的解(分层作业)-【上好课】(已下线)第四章 指数函数与对数函数单元测试能力卷-人教A版(2019)必修第一册吉林省延边州2023-2024学年高一上学期期末学业质量检测数学试题(已下线)专题3 含绝对值的函数问题(过关集训)(压轴题大全)(已下线)专题6 函数的零点问题(过关集训)(压轴题大全)
名校
解题方法
7 . 已知函数
,则下列说法正确的是( )(其中
,若无特别说明,下同)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b752629dca6d801a47ebd64931f479e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b630e64c0aab6b44b11e8238bd044cb.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
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8 . 对
,
,若
,使得
,都有
,则称
在
上相对于
满足“
-利普希兹”条件,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2eef0405a16a192a197055723ccd9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa875bb5463d3f0046aa91bd596c440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/510d5cb049af38d5c4fed742281aebad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2836e6fab597cbfbbc38ce832c6d0191.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d484eaef6688f8014442e658edf6f6a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.若![]() ![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
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9卷引用:重庆市南开中学2022-2023学年高一上学期12月月考数学试题
重庆市南开中学2022-2023学年高一上学期12月月考数学试题浙江省宁波市九校2021-2022学年高一上学期期末联考数学试题浙江省杭州市富阳区江南中学2021-2022学年高一下学期开学考试数学试题浙江省温州市乐清市知临中学2022-2023学年高一上学期11月期中数学试题湖北省武汉市2021-2022学年高一上学期期末模拟数学试题(一)第4章 指数概念与对数函数(基础、典型、易错、新文化、压轴)专项训练-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)湖北省武汉市华中师范大学第一附属中学2022-2023学年高一上学期期末模拟数学试题(三)四川省南充高级中学2022-2023学年高一上学期期末数学试题(已下线)必修第一册综合检测-人教A版(2019)必修第一册单元测试能力卷
名校
解题方法
9 . 对于两个函数:
和
,
的最大值为M,若存在最小的正整数k,使得
恒成立,则称
是
的“k阶上界函数”.
(1)若
,
是
的“k阶上界函数”.求k的值;
(2)已知
,设
,
,
.
(i)求
的最小值和最大值;
(ii)求证:
是
的“2阶上界函数”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d6afd1b3aeae1bd415dba90e50c001c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ffea0f7bb26c02be91008a3a992a27b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea5289677c3bf66194c475c4c44f4a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f06f45220c23094a3d9ef53b54b89d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2bc8d66faac1a06acfec68e28086bf.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b89d55ca6a541bce15e141a7e38285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ff2689759a35f3a8030b02be7a22c3.png)
(i)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(ii)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49794721f5504dd828acf49be37ff42.png)
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2卷引用:重庆市巴蜀中学2021-2022学年高一上学期期末数学试题
名校
10 . 已知函数
为自然对数的底数).
(1)当
时,判断函数
的单调性和零点个数,并证明你的结论;
(2)当
时,关于x的不等式
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e2160ef1397c2e9af0824f4488a8d8.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdc12d82e20e4ebc76e5792d4e8e09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92382c9fe8a54d85a03d2d96d6b5d4b3.png)
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2022-01-21更新
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