1 . 求下列各式中x的值:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cac86bbb31ee7d9ecaaf30b3a030b40.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a490d8054f7f0342d5e79da8d9ba568.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9f6031400e6f0608f9b7c4a3eff788.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a95aeea8a9a747c198e5c1772287a2d.png)
您最近一年使用:0次
解题方法
2 . 判定下列方程存在几个实数根,并分别给出每个解的存在区间:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99606defee81cacc6652482953b6818c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/811f9e6a966be78c9f2bb8a3d0dc687b.png)
您最近一年使用:0次
解题方法
3 . 求使下列不等式成立的实数x的集合:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09a038155a6da04528bc93dd478842c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7571c68c3c10921a2c3aabcbced2f935.png)
您最近一年使用:0次
2023-10-08更新
|
282次组卷
|
5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
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(已下线)4.4 对数函数(10大题型)精练-【题型分类归纳】(人教A版2019必修第一册)(已下线)3.2 对数函数的图象和性质北师大版(2019)必修第一册课本例题3.2 对数函数y=log2x的图象和性质【导学案】3.2 对数函数y=log2x的图象和性质课前预习-北师大版2019必修第一册第四章对数运算与对数函数
4 . 设
,
,
.令
,
.
(1)请分别化简下列各式:①
;②
;③
;
(2)结合(1)中的化简结果,谈谈你对对数函数
、幂函数
、指数函数
变化的感受.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faa1dac89223951cb5e627c1aa8b6e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/419f8e2e08693764ea744ac6808f6e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cbe1fc2baa603805f02b5f5bf469d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3713297f235ddbdc65cb74baacd6668e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3493414b77a526ca286d225db3bb1dc.png)
(1)请分别化简下列各式:①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef52060d97bafb43d8a53cfd21367b19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6111db3c756dcd21724dee3dbc5e071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b0f34948571b3b1efed8d5ae874fb2.png)
(2)结合(1)中的化简结果,谈谈你对对数函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46f6872ffb1934339c53c2c2282d5889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9314bd1d7a6e070f4f2428f9a321804e.png)
您最近一年使用:0次
5 . 判断下列函数的奇偶性:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0c844766ffa812c15ac2eb6666c487.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa4bfc0f34085652be936540f131a206.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa2b36c56551020b9ebe4576ed409105.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edc8382e231e002fd032c922a9c17cbb.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76a4ad0af2381a63ceece2d8adff7ace.png)
您最近一年使用:0次
6 . 对于任意两正数
,
,记区间
上曲线
下的曲边梯形面积为
,并约定
和
,记
.探索下列诸命题,思考能否从函数
出发引入幂函数、指数函数和对数函数.
,
有
;
(2)
(参看上图);
(3)对正数
和
有
;
(4)对任意两个正数
,
有
;
(5)由此推出
,对有理数
有
;
(6)
的反函数记为
,记
,对有理数
有
;
(7)对任意正数
和有理数
有
;
(8)对任意正数
和实数
有
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad481cbfb67ac9cdbc0537f3de23b022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ec5310f8e14b92ef3cfb9ce7524efd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/627381bf461ffb45aa25c9ee0dddf025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1985cc620ee5113757a8ff82ab81e36c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f876a9bf2d12e1f396448e62e06dbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c469d29e6be380e8101fd8303a05c032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7bf24fa36d4a3ddc44f212cae688c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad481cbfb67ac9cdbc0537f3de23b022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e829648a05c4b159494882efce630dc.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fbf26bf7587e1aa830b854012e300d.png)
(3)对正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d905f83793f2b449a6b860bc9178f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8214a78017666f907d61e177a1764e.png)
(4)对任意两个正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad481cbfb67ac9cdbc0537f3de23b022.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc13a607ac0c7f76d252d7cb1bb040fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5421543d7506d8ff8195083c40873833.png)
(5)由此推出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143e830980e2bf68db1ad4156939125d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ab7024f73ff0cb7e6a48197538a91e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ec2384f043337d281c70bc1264d50b.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b60b8924544efd93214bac52b9be0f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5986aa729576b6b784462d282e095c55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ab7024f73ff0cb7e6a48197538a91e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f6af1473e1d68b0294af729fcb463de.png)
(7)对任意正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ab7024f73ff0cb7e6a48197538a91e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b260050c092808ceaa10b9857e0db8a.png)
(8)对任意正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f83ee06dc7d105d8f4452fb3b2ab1def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284c45dbc1088671b9a8384135b8b3dd.png)
您最近一年使用:0次
解题方法
7 . 某污水处理厂采用技术手段清除水中污染物的同时,还能生产出有用的肥料和清洁用水,在处理过程中,每小时可以从处理池中清除掉残留污染物的12%.
(1)一天后污染物含量降低到什么程度?
(2)使污染物含量减半至少要多少小时(结果保留整数)?
(1)一天后污染物含量降低到什么程度?
(2)使污染物含量减半至少要多少小时(结果保留整数)?
您最近一年使用:0次
8 . 地震的强烈程度通常用里氏震级
表示,这里
是距离震中100km处所测量地震的最大振幅,
是该处的标准地震振幅.
,
,该地震的震级是多少(计算精确到0.1)?
(2)计算里氏8级地震的最大振幅是里氏5级地震最大振幅的多少倍?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/964ba375cf71028efc5125ad478abbb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7356ec98b600ece41f3a6b4bc26a7d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6474bdeb274991cc79cacc2f38b75086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a86a049f1a53052100be0c384581cad.png)
(2)计算里氏8级地震的最大振幅是里氏5级地震最大振幅的多少倍?
您最近一年使用:0次
21-22高一·湖南·课后作业
9 . 已知
,估计
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87d922f294f2696c2b12d2a7d2f8b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e633d988d96905e93428fd19d2a098f6.png)
您最近一年使用:0次
21-22高一·湖南·课后作业
10 . 用
,
,
,
,
表示下列各式:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c1afc6c3c4841c1559a9fc7ccf49b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639ebdcecaa8993f19aa1db769e6387e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd27e893a8cbde293f6afff9467289e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3424ac0bf9597374bbf52d95569c203.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63fa54be65ce4e8dfae214bae9340b45.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d3ba04e6eacd269efb3790976bad05f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a070380f46383b0c38c9d5202deedcc4.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c48a8d0bd2a601557296a01b3785ff19.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148f0f2db85cc4814f6ebf842d9caf52.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454046d7564936207c8c25cb2f0dab1e.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85867f4a39cdf471220bc24f6ae77ee3.png)
您最近一年使用:0次