1 . 仿照“用计算器求
的值”的方法,证明对数的换底公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5faff5d08e2976e15f0cec988ced37.png)
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2023-10-08更新
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37次组卷
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3卷引用:北师大版(2019)必修第一册课本习题第四章2.2换底公式
21-22高一·湖南·课后作业
2 . 已知:
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e93622d238a10ef084d02a25e7d6e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46c90b74747b4fbe7a10577158e998c.png)
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20-21高一·江苏·课后作业
3 . 已知
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c83dbba8b54b45b0698bfa6e329c8b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4bf885e5b0189a3e4872d32cef879c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c21575857b85e878ba44698c60062d.png)
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20-21高一·江苏·课后作业
4 . 设a,b均为不等于1的正数,利用对数的换底公式,证明:
(1)
;
(2)
(
,
,
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c29f0abb27fb384bd21aaf1e771d19c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f095b5fe07c9a01c3ae6502814b03439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5a523e020e21797c0f83c2b6772588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b2400d72b1e3145cb21ba719d8a968.png)
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20-21高一·江苏·课后作业
5 . 设
,
,求证:函数
(
)是奇函数.
![](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/ddf8a1b627d03965224abe9dbdf48d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
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