1 . 设
,若复数
在复平面内的对应点在第三象限,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bffc08b673c01ec35a62b05cbbf8b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2 . 写出下列对数函数的反函数(用x表示自变量,用y表示函数):
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2702a5539ca829b8b7a08407f0996e8a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3775a629bb29e890fd37692f5a6cf71.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4a90955ae3a90343d164a91e5f835c.png)
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3 . 已知
,
,请用a,b表示下列各数的值:
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a08a2a5540efcdb5a77aa4ea3049884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850df3e299d9b1ecbda7e3a59e2a255e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930f7706c8f0a021d2e81f1cba24cca0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede9f9b1dbd9fd7245f8d032fe1f083d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7613e04019ca879f8269196d0c3527.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed4bed77efc425c51335b4c64761237.png)
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2023-10-09更新
|
249次组卷
|
4卷引用:2.2换底公式-同步精品课堂(北师大版2019必修第一册)
(已下线)2.2换底公式-同步精品课堂(北师大版2019必修第一册)北师大版(2019)必修第一册课本习题 习题4-2(已下线)习题 4-2【导学案】2.2 换底公式课前预习-北师大版2019必修第一册第四章对数运算与对数函数
4 . 求值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738f315a3d366fec9eae6597cda3d625.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c08dce84166f81e44ab85603bf7033.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/608dc60f6d3a978701060e4a5d716357.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/054e3da8fd8803b042e5f13beb8ac16e.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30db5859c8a105ca354310bb396a085.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f8e5d7a8082a7077d1633ae86eed55.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ae38427793c44fabd9b7531aabd626c.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d68d0c7834f382482c5f8ca5bcd252c7.png)
您最近一年使用:0次
5 . 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
6 . 计算:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3238ca48a21579333c422878d51241ba.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492de122787af5c71321da568a2eb8a4.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/986ac5b4c130cea0aef70480c3094bcb.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90e1e963820f410e1ca074d40954610.png)
您最近一年使用:0次
2023-10-08更新
|
498次组卷
|
4卷引用:4.3 对数(6大题型)精讲-【题型分类归纳】(人教A版2019必修第一册)
(已下线)4.3 对数(6大题型)精讲-【题型分类归纳】(人教A版2019必修第一册)北师大版(2019)必修第一册课本习题第四章2.2换底公式(已下线)2.2 换底公式北师大版(2019)必修第一册课本例题2.2 换底公式
7 . 设
,
,
,且
,
,利用对数的换底公式证明:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4313f830e9be762a14205f2c2141d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406185f4ad8bcd99e23adc8d289088ed.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4eebfbd681b6faa2f721ce6255e0be7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e17444a36dc88474cedf3d1c1a2288a.png)
您最近一年使用:0次
2023-10-08更新
|
269次组卷
|
8卷引用:4.3 对数(6大题型)精讲-【题型分类归纳】(人教A版2019必修第一册)
(已下线)4.3 对数(6大题型)精讲-【题型分类归纳】(人教A版2019必修第一册)(已下线)2.2换底公式-同步精品课堂(北师大版2019必修第一册)(已下线)【第三课】4.3.1对数的概念+4.3.2对数的运算【第三课】上好三课,做好三套题,高中数学素养晋级之路(已下线)4.3对数北师大版(2019)必修第一册课本习题第四章2.2换底公式(已下线)2.2 换底公式北师大版(2019)必修第一册课本例题2.2 换底公式【导学案】2.2 换底公式课前预习-北师大版2019必修第一册第四章对数运算与对数函数
8 . 求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3594c29c92c03a94e6e22479892af3.png)
您最近一年使用:0次
2023-10-08更新
|
195次组卷
|
4卷引用:4.3 对数(6大题型)精练-【题型分类归纳】(人教A版2019必修第一册)
(已下线)4.3 对数(6大题型)精练-【题型分类归纳】(人教A版2019必修第一册)北师大版(2019)必修第一册课本习题第四章2.2换底公式(已下线)2.2 换底公式北师大版(2019)必修第一册课本例题2.2 换底公式
解题方法
9 . 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/a1c7d1356f5cbf9d5d4f0a2aff37180a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39bef54275f4e9e8ef9ded08e51997fe.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc3838b938a5908f907591190c81d19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c428e57083c670001701f1f77efc870b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d775e7b8db68662937e88754421bbf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6266400e2f67ea46c0999179febd1ddb.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38adf264cfcf55a806607dc44497571b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e8e9c327ce93fe75e7f049ee157118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
您最近一年使用:0次
解题方法
10 . 求下列函数的定义域:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93683f1d2d1cf12b7d5cab32b6a3bbe6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/660efa11e36c224d7735e831f8b170dc.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e289b4d4d5efe44cbb3f9f384ee494.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13fedfe250205e4b7004fc5d6f08dcae.png)
您最近一年使用:0次