1 . 已知函数
.
在区间
上的图象,他列出表格,并填入了部分数据,请你帮他把表格填写完整,并在坐标系中画出图象;
(2)已知函数
.
①若函数
的最小正周期为
,求
的单调递增区间;
②若函数
在
上无零点,求
的取值范围(直接写出结论).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb53e14aa7225debe814dc53dfa5cb79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/261f998fc8fcf7da2931205de40cd6d4.png)
![]() | ![]() | ![]() | ![]() | ![]() | |
![]() | 0 | ![]() | ![]() | ![]() | |
![]() | 0 | 2 | 0 | 0 |
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a26e8f4212b5aa220abb86fc00902ef.png)
①若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ceecc74c6f1f2bb03d025faa347bf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
,
.
(1)在用“五点法”作函数
在区间
上的图象时,列表如下:
将上述表格填写完整,并在坐标系中画出函数的图象;
在区间
上的最值以及对应的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68cf294952dfae06a1263c6cadc607bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)在用“五点法”作函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
![]() | ![]() | ![]() | ||||
![]() | 0 | ![]() | ||||
![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7514152dc8e0412f21da329682abeb13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
3 . 已知函数
(
,
),当
时,
取得最大值为1,当
时,取得最小值为
,且
在区间
上单调递减.
的解析式并且作出
在区间
的图象;
(2)当
时,函数
恰有三个不同的零点
(
),求:
①实数a的取值范围;
②
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a067e86ae162185a04bdf862b40cd255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9531427f246890e815b7ed47e78daa78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78400721e9ff4c345ea1194dba304ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/955f81cf5014070627423e79a61b01f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40fc347057c9a0fce3442a5720423860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cd74de62cd6ee7140e8d7558d822624.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6b3e24e0f81f949abd031073a6346d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a79534888449d1d808fb981bbed56ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
①实数a的取值范围;
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92b3a9b6aaaac1fca43e657d607f4c4e.png)
您最近一年使用:0次
4 . 画出下列函数在一个周期上的图象,并讨论其性质:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a626de084ee0ddf786ea224a8fb75fbf.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157b565dc9b8c91ca8121b6f19ccd6d8.png)
您最近一年使用:0次
2023-10-09更新
|
80次组卷
|
3卷引用:北师大版(2019)必修第二册课本习题第一章6.1探究ω对y= sinωx的图象的影响
北师大版(2019)必修第二册课本习题第一章6.1探究ω对y= sinωx的图象的影响(已下线)6.1 探究 w对y=sinwx 的图象的影响北师大版(2019)必修第二册课本例题6.1 探究ω对y= sinωx的图象的影响
5 . 做简谐振动的小球上下运动,它在时刻
时相对于平衡位置
的位移
由下列函数关系式确定:
.
(1)以
为横坐标,
为纵坐标,作出这个函数的简图;
(2)求该简谐振动的振幅、周期、频率和初相.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fb80b591b497d8d7a6d8592160de44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a8e2712494bc2022c30d37e395cf10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbad3291b5d12f0c045dbd9bb0bee47.png)
(1)以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)求该简谐振动的振幅、周期、频率和初相.
您最近一年使用:0次
6 . (1)利用“五点法”画出函数
在长度为一个周期的闭区间的简图.
列表:
作图:
的图象经过怎么变换得到的.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc488b43a6f9fe64fa30a4f8ee2d1fc.png)
列表:
x | |||||
y |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ad672c139fa8979e35f789fd43e275.png)
您最近一年使用:0次
7 . 已知函数
(其中常数
)的最小正周期为
.
(1)求函数
的表达式;
(2)作出函数
,
的大致图象,并指出其单调递减区间;
(3)将
的图象向左平移
个单位长度得到函数
的图象,若实数
满足
,且
的最小值是
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15069b74e83129c2c908c32fc05cf188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27794407a3d82a6746f7e0871051f486.png)
(3)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ec4b31c8c6e293c1e3c2448e7b072f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92fa64657a9b73b0d5c9ea1319e6d658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
您最近一年使用:0次
8 . 已知函数
,
.
(1)在用“五点法”作函数
的图象时,列表如下:
完成上述表格,并在坐标系中画出函数
在区间
上的图象;
的单调递减区间;
(3)求函数
在区间
上的最值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ec4cdd13b8804bde601401e190a085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)在用“五点法”作函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![]() | |||||
x | |||||
![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba7039324a6d810f4d5603d4edeb70e.png)
您最近一年使用:0次
名校
9 . 已知函数
.
(1)利用“五点法”完成下面表格,并画出
在区间
上的图象;
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c3b76c37ba4f3596523afb1c850b20.png)
(1)利用“五点法”完成下面表格,并画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55cfcbb5c5950e18a8452b38bb17036.png)
![]() | ![]() | ![]() | ![]() | ![]() | ||
![]() | 0 | ![]() | ||||
![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c9c9a2527a361d1af860822acb576f.png)
您最近一年使用:0次
2023-03-14更新
|
632次组卷
|
6卷引用:江西省上饶市2022-2023学年高一下学期部分高中学校3月第一次大联考数学试题
21-22高一·湖南·课后作业
10 . 作出下列函数在一个周期图象的简图:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8e9cc284d820b877035309fd9347fb.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/530b0604d215adbb834fce1219ce96e4.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca637a4fa3b91e990b0cc1730b9ca60.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84de630fa7cb6f5493b308f0b4ec21b6.png)
您最近一年使用:0次