1 . 当
,且
时,常用对数
和自然对数
可以互相转换,即存在实数A,使得
.你能推导出A的值吗?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a891d21bb2c7a11304beaab5054074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d582a8ea1d1846b22372ea56f6e44783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccb245042079bba161c53d431a9160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f75a1642a5a899bf4a2c7e13a91273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f9b2e089c13cfe604500815634606.png)
您最近一年使用:0次
2 . 求值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c806fb25495ec94cd303871cec4c36d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5559ddc6591d0673419a6876e75b476.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7a8ca9cb5ac9915fffdcd12924c581.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76220bb578e871c7dba4f8b853f73764.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004059979afc03b36b9392d037e8a667.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875a17caae550b5631ece3345a0c25a4.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be6de2c4e7230d99faf49c68ab9bbb8.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2ee362f4eff093869661fd6313f143.png)
您最近一年使用:0次
3 . 函数
满足
,那么,它是以
为周期的函数吗?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdf10803302d5182b341172e5b1ca93b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
您最近一年使用:0次
2023-10-08更新
|
101次组卷
|
4卷引用:北师大版(2019)必修第二册课本习题第一章1 周期变化
北师大版(2019)必修第二册课本习题第一章1 周期变化(已下线)1.1 周期变化7种常见考法归类(1)-【帮课堂】(北师大版2019必修第二册)(已下线)§1 周期变化北师大版(2019)必修第二册课本例题§1 周期变化
4 . 将下列对数式改写为指数式:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/236b49be967607ef6a4d9954c9268608.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c051da38cb91e75529d5efe5d803fdb8.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd721686c8ee7cbcbabac4c5ef2c2e84.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7bebdb7c4e206c6525a9bf31da823de.png)
您最近一年使用:0次
解题方法
5 . 比较下列各题中两个数的大小:
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a6a917c68cf11ed28247b73c18386cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450f21fdaee3b04dfceb490e0eb49802.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ee06dc94225fb7acc219eee308a1f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bc9cd7d1888609d26d1f98d2f98456b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffe3c10b3dffee72996dc81f44d71bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6266400e2f67ea46c0999179febd1ddb.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c29c210721c6ffd2cb34c5c843a5224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba46dfa80bb296836da905cffce8f050.png)
您最近一年使用:0次
2023-10-08更新
|
95次组卷
|
3卷引用:北师大版(2019)必修第一册课本习题第四章3.2对数函数y = log 2 x 的的图象和性质
6 . 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)
您最近一年使用:0次
2023-10-08更新
|
37次组卷
|
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
7 . 已知
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9caff846b9d2d4ea37b7df76719c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872be4645b9ccafc2744f8c822d17005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577ed0748e1a07bb8a10532f4a9e4fb5.png)
您最近一年使用:0次
解题方法
8 . 已知
,
,
.
(1)比较x,y的大小;
(2)比较y,z的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ec9756656faf0382237879039a9041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8585674d840bb769dd27b4ce00c416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c418b3d2bcaf3922f4151f250d9dc1.png)
(1)比较x,y的大小;
(2)比较y,z的大小.
您最近一年使用:0次
解题方法
9 . 已知下列不等式成立,比较m,n的大小:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12292f5ce1fe4f96e1bae2fe0c848ce8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38b2a6fcf85e3f79f2e5724c63590f3.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98efb77f8c1efb2343285a6e324c9a8f.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e06ef84f0c65ad5b3c8a45cc7692f8.png)
您最近一年使用:0次
10 . 下列函数中,哪些满足性质
或
?为什么?
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac5f197a14e1d903d4e822388798f56c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdca802890b6e64cd5aaea5ef55d4d91.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec84404bbf6cf4a9d992e1760dcfdd4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3daad3a31a3597f75fa109736ed2ebf.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3cc66b811ad2395efe04d93b61c711.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77c9320d009a17deba67f208c7d8be8c.png)
您最近一年使用:0次