2023高三·全国·专题练习
1 . 已知函数
的图象在点
处的切线方程为
.
(1)用
表示出
;
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b198677e91defa3ffba5e1865eb387c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a475fec8ded321e10a6697319fb975.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb168665b95f30538130eb97fc99f722.png)
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2023·全国·模拟预测
2 . 已知
,且
.
(1)求证:
;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2133cd64cdc27fb7b1784f05887f7304.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd24c686fbaaa68705d654b880481ffe.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeadd667059ca5e53125d3c0cda85bae.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131c6728de06c3c67cd2d8dba0a7fde6.png)
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2023高三·全国·专题练习
解题方法
3 . 已知
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/694778ef800750095f750d1ca798814e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcae870077ceb017dac3423b7b53c7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5479187a07b26f83eb12ea30e1e7ab16.png)
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解题方法
4 . 有下列几个命题,其中正确的是( )
A.给定幂函数![]() ![]() ![]() |
B.若函数![]() ![]() ![]() ![]() |
C.函数![]() ![]() ![]() ![]() |
D.已知函数![]() ![]() |
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2023-11-08更新
|
676次组卷
|
4卷引用:4.4.2 对数函数的图象和性质(分层练习,五大题型)-同步精品课堂(人教A版2019必修第一册)
(已下线)4.4.2 对数函数的图象和性质(分层练习,五大题型)-同步精品课堂(人教A版2019必修第一册)福建省武夷山市第一中学2023-2024学年高一(实验班)上学期期中考试数学试题宁夏银川市第二中学2023-2024学年高一上学期月考二数学试卷辽宁省沈阳市第一二〇中学2023-2024学年高一上学期第三次质量监测数学试题
名校
解题方法
5 . 已知
,满足
,给出下列四个结论:①
;②
;③
;④
.其中一定成立的结论是__________ (写出所有成立结论的编号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64541d7f445079207b6f671adc7d662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b75a2236eb69ad2e5b47163166e819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f9bf034aa02b5488c815517f13df3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ea7b40fb78703a118ab61820f6742f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c1754a820689e353d1793af8ee008f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ad0e87974f63ab2947185643510034.png)
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2023-11-05更新
|
168次组卷
|
3卷引用:第四章 幂函数、指数函数与对数函数全章复习-【倍速学习法】(沪教版2020必修第一册)
(已下线)第四章 幂函数、指数函数与对数函数全章复习-【倍速学习法】(沪教版2020必修第一册)上海市民办文绮中学2023-2024学年高一上学期期中数学试题四川省眉山市仁寿县文宫中学2023-2024学年高一上学期12月月考模拟数学试题
2023高一·江苏·专题练习
6 . 已知
是不相等的正数,
,
,则
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7532405b0414de575ad5ab005711da1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a9ca488d068d2c3eedc51f0897b9ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023高一·上海·专题练习
7 . 已知
都是正实数,若
,则则
与
的大小关系是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080404653aea8348c9b693c20b59abd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
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解题方法
8 . (1)若
,求证:
;
(2)若
,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353a0504082335c98b71653317beabbe.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce754f70971ded6c2b6764d6fdb23db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf99adccc80f28343fedd8d0aad7429.png)
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9 . (1)设
均为正数,且
,证明:若
,则
:
(2)已知
为正数,且满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d10449bc77d692a7270e0f20a68cdf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eeda5cef4846ef829069fe27f64e34e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34913253db59e64279ca78cfdd5f1569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef0e9d305e0fc426a0425911e54ea21.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56667aabbe787eb1c3189d487d203e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3681a97ebef383e8968347548102fb49.png)
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2023高一·全国·专题练习
10 . (1)已知
,求
的取值范围;
(2)设
,
,
均为正数,且
,证明:
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66bc63afa7ce7b05a6efa0cdadecc5e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd927b4b5a7875528c1b54aa4bb8b2dd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d689b0da0bd4803b3e8a6c69542ae466.png)
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