1 . 已知函数
的图象如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
________ ,
=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036ad46c8581db9c05cd0e9096813d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60edd6f22af315c5a5d77e741149e63f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/18/91f89433-eb9f-4ed5-9f92-ae4b2c925db2.png?resizew=154)
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2 . 已知函数
,
,
,其一系列对应值如下表:
则函数
的表达式是______ ;若函数
的周期为
,当
时,方程
恰有两个不同的解,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137fe78d2293d200e4ce26ff1e663d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47286f41324f4f5c3acf87dfa23d5a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8b2037220157dcdd55ec6e9678e815.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ec74a68260697bce2b33c3a42cc5a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23593bbf38330868a2fd95bf8dd613a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e449de424bab67043f9cb6f7d65eb0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 设函数
,则
的周期是______ ,方程
在
内有______ 个根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a2cf4fb65d9d4ea9ab86b542f1952e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb381ac86308c6249bc7e8737cdc668d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
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20-21高一·全国·课后作业
解题方法
4 . 函数
的周期是________ ,值域是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b18cf05e7e265e6e4213af1f0316459.png)
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2021-11-12更新
|
245次组卷
|
3卷引用:第十章本章测试
名校
解题方法
5 . 声音是由物体振动而产生的声波通过介质(空气、固体或液体)传播并能被人的听觉器官所感知的波动现象.在现实生活中经常需要把两个不同的声波进行合成,这种技术被广泛运用在乐器的调音和耳机的主动降噪技术方面.
(1)若甲声波的数学模型为
,乙声波的数学模型为
,甲、乙声波合成后的数学模型为
.要使
恒成立,则
的最小值为____________ ;
(2)技术人员获取某种声波,其数学模型记为
,其部分图像如图所示,对该声波进行逆向分析,发现它是由S1,S2两种不同的声波合成得到的,S1,S2的数学模型分别记为
和
,满足
.已知S1,S2两种声波的数学模型源自于下列四个函数中的两个.
![](https://img.xkw.com/dksih/QBM/2021/4/29/2710414906130432/2785822478147584/STEM/0fc4af214bc64755ae531956a531ed4d.png?resizew=313)
①
; ②![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b3f17664e57122bba6d8d8dd75c914.png)
③
;④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c4517380712240e48c4569863e6fdf.png)
则S1,S2两种声波的数学模型分别是_________ .(填写序号)
(1)若甲声波的数学模型为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf0499eb96d6af7cdfea79540ae2860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45dbec5a3ac2e57eeb24e82af5c4667f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd67b594f222d83c217262f94089ddc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c419949314258c61e4436e16477fa42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)技术人员获取某种声波,其数学模型记为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e91406484c332ac8fc96a54c7e187b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2709ca478fb15ea08e8aa55328eae8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a82a1224e47f31ecdfffd328d5a3ab6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585abcc61e51a9e73513b95155a8da45.png)
![](https://img.xkw.com/dksih/QBM/2021/4/29/2710414906130432/2785822478147584/STEM/0fc4af214bc64755ae531956a531ed4d.png?resizew=313)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fc593b49cf3a5d57b691b5b2ee45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b3f17664e57122bba6d8d8dd75c914.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3bd853f3df2d9dbc4b846d296d5297d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c4517380712240e48c4569863e6fdf.png)
则S1,S2两种声波的数学模型分别是
您最近一年使用:0次
2021-08-14更新
|
837次组卷
|
6卷引用:北京市海淀区2020-2021学年高一下学期期中数学试题
名校
6 . 已知函数
(
)满足
的
的最小值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
______ ,直线
与函数
在
上的图像的所有交点的横坐标之和为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/464ca41925144d0254d2f15b18795e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aea6aa25a3efc37d236cad6da52fc1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2af7fa5a5c6f45c5f2e1a5edc7bdba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b6a27a9d5d345f1e04020bfea2770ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
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2021-08-09更新
|
434次组卷
|
2卷引用:山东省潍坊市2020-2021学年高一下学期期中考试数学试题
解题方法
7 . 函数
(
)的最小正周期是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
__________ ,
在
上的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e92ba55a985cf3de7d22e5489346e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05bf2594c377f7d9ca1b3f175c6f40f.png)
您最近一年使用:0次
解题方法
8 . 函数
的最小正周期是______ ,最大值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c793183ec51b2304e5f3eb0e422a15.png)
您最近一年使用:0次
名校
解题方法
9 . 函数
的部分图象如图所示,则函数
的解析式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
________________ ;将函数
图象上所有点的横坐标变为原来的
(纵坐标不变),得到函数
的图象,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a9271c369843977f306f77ea08acfd.png)
_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b6bc5be1f6650405734febefd2d25a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a9271c369843977f306f77ea08acfd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/35e2cf07-8944-4bc2-aec3-f250479a4701.png?resizew=143)
您最近一年使用:0次
解题方法
10 . 函数
的最小正周期为___________ ,对称轴方程为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dee8e898637ad6980d8454adf348668.png)
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