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)
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2 . 已知
,求下列各三角函数值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf8cf7742550342837e3077d80f600cb.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d66c03d4ca06819a6ce7fc8ea6de0f0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1ade20a8f8316c0b035c18c6845f657.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbaf8b3d25a70fd26da4abef6427320e.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd62b29672e771914e54d1d578edc997.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ad7489ff3d7b597545850435b453cb.png)
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3卷引用:北师大版(2019)必修第二册课本习题第一章4.4诱导公式与旋转
解题方法
3 . 求下列三角函数值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5e17d02ad109e1f1b4340b8c4c1f80d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a4f77dc7a80e5923dabc83f0d34813.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22283d0f84141b2b6cc2b13f63401ee3.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f9182843ce1f153137022cf14625a1.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2985adde503d331bd4764e637246007.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9ff6e5af2bb11fb19c906a0a48e186c.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bea178036fd38c3366a7f349ad7bfe67.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300373baa0bc2fbb3f3f234ea4863419.png)
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2023-10-08更新
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861次组卷
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5卷引用:北师大版(2019)必修第二册课本习题第一章4.3诱导公式与对称
北师大版(2019)必修第二册课本习题第一章4.3诱导公式与对称(已下线)专题12三角函数压轴题-【常考压轴题】7.2 三角函数概念(3)-【帮课堂】(苏教版2019必修第一册)(已下线)4.3 诱导公式与对称北师大版(2019)必修第二册课本例题4.3 诱导公式与对称
4 . 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)
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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
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)
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解题方法
6 . 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)
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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3.2对数函数y = log 2 x 的的图象和性质
7 . 将下列对数式改写为指数式:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d231817e10ead78d18a88dec02fa64f4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63eef60ec42026e92fcdc5ccf7d5c816.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705549603ef61a0a7faeaeab9348e7fa.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50bf1b6d58e4933aea25e67085d21a0.png)
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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§1对数的概念
8 . 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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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
9 . 比较下列各题中两个数的大小:
(1)
,
;
(2)
,
;
(3)
,
(
,且
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930f7706c8f0a021d2e81f1cba24cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1729e8a91524e26d22c6427cbe16a15.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d775e7b8db68662937e88754421bbf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caba02e1b957f375a1b31ed22d9f4e65.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52521aa79858ebf9ddcf7edcddd1ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c5124ad9fc9b21eb43d0ba1f2731db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
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4卷引用:北师大版(2019)必修第一册课本习题第四章3.3对数函数y = log a x的图象和性质
10 . 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)
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