解题方法
1 . 求下列函数的最大值和最小值并画出它的图象.
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f3668b6a73f1244d2715dc7c521a82e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8368c6b1af42028611c8f3f16b90f3f9.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8924c0338405a76728f2bbbfba3db202.png)
您最近一年使用:0次
2023-10-09更新
|
247次组卷
|
4卷引用:北师大版(2019)必修第二册课本习题第四章2.3三角函数的叠加及其应用
北师大版(2019)必修第二册课本习题第四章2.3三角函数的叠加及其应用(已下线)第03讲 5.5三角恒等变换+5.6 函数y=Asin(ωx+φ)(1) -【练透核心考点】(已下线)2.3 三角函数的叠加及其应用北师大版(2019)必修第二册课本例题2.3 三角函数的叠加及其应用
解题方法
2 . 求下列函数的周期及最大值、最小值:
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77c01c6639bc2986e153774db3a20df.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219b7abdc548bcf6a8855c06386bba6c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005e6c930c834cf8371d64e3250f3980.png)
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3 . 求使下列函数取得最大值、最小值的自变量
的集合,并分别写出最大值、最小值:
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d03648a34b9c79e72761711592167e0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/568c3edcf7c105d57937c743238460fd.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c84ddea5f7d0e4a8b9147e44137facbb.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2c6bbf7970a9cc1c1b7d7ad01ed2f6.png)
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4 . 下列各式能否成立?请说明理由.
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5104f286d63720c1f6f97334dd521367.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d60647f1ee4cd8306153c37f26a18be.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/065a7af990e3061bb6a77c655998800f.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c13142a9f6f397afccded3664ebdca.png)
您最近一年使用:0次
解题方法
5 . 求下列函数的值域:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e917b14b23cf93881e3cd15cedf654.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e651435e2d5835b2d51cb5078caf0ef3.png)
您最近一年使用:0次
6 . 求下列函数的最大值、最小值以及对应的x值的集合:
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68213a284d721cd36b6097c5b86624cb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2fe83c603fa85cd105e962d28a9c45.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0829a63decf7a04096f0f2ec05ffb07.png)
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7 . 函数
,
,在区间______ 上单调递增,在区间______ 上单调递减;当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ 时,y取最大值;当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ 时,y取最小值______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/814bea8004c0cbba824c7eed4281855c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffa28c7f519c1c85c0a3cad23b2e6cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
您最近一年使用:0次
2023-10-09更新
|
143次组卷
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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5.1正弦函数的图象与性质再认识
8 . 函数
在区间上______ 单调递增,在区间______ 上单调递减;当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ 时,y取最大值;当![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
______ 时,y取最小值______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4915dddeabe3665ab23a0be1d8a563e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
您最近一年使用:0次
2023-10-09更新
|
209次组卷
|
3卷引用:北师大版(2019)必修第二册课本习题第一章5.1正弦函数的图象与性质再认识
9 . 在同一直角坐标系中画出
,
,
在
上的图象,观察它们之间的关系,并说出这三个函数的周期、最大值、最小值、值域之间的关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a09926b9ee45adb27db40d91306684d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80e8d2d66b432fd2b8a2830ba21e5dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af46e7742b81527867de26c973c67b00.png)
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10 . 求下列函数的最大值及取得最大值时自变量
的集合:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09dfe9831ccd9b3e4ddcdf012e52887f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49335986e2ff6a23a6bd62e352667083.png)
您最近一年使用:0次