1 . 已知函数
的图象与直线
的相邻的四个交点依次为A,B,C,D,且
,
,则函数
的最小正周期为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed0d93f7063402229328ce8f5f731f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46111e4d12c21798aa213c0d7804c2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d669c61d6d8d5171216bf4448377f128.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a21782163ade7050baa9b96b22c196.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2022-12-28更新
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207次组卷
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3卷引用:专题5.4三角函数的图象与性质(1)
名校
解题方法
2 . 函数
的图象如图,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62d324cae510d98073af49fbe3efbe43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801584742284a4e14b83d6d39b461a4f.png)
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2022-12-27更新
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7卷引用:四川省绵阳南山中学2022-2023学年高三上学期12月二诊热身考试数学(文)试题
名校
3 . 定义在
上的奇函数
满足
,请写出一个符合条件的函数解析式![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d19a63e5ca7bc2a7c889a38e7b8dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
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2022-12-16更新
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3卷引用:专题5 举例题题型
4 . 已知函数
在区间
上有且仅有3个极值点,给出下列四个结论,正确的序号是_______________ .
①
在区间
上有且仅有3个不同的零点;
②
的最小正周期可能是
;
③
的取值范围是
;
④
在区间
上单调递增.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e83874896c4b3fbe30c5233ca57d38c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ff8dca35b759d3051b62badd7d76bc.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f785147690f83dcee0a0bc6c327e75a.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f65fa5649b374a5ecfaf0cdc313875.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da6dac93c045a0325e901f4d99d1c57.png)
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2022-12-09更新
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371次组卷
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3卷引用:专题4-1 三角函数中的高频小题归类-3
2022·全国·模拟预测
5 . 已知函数
的图象的两条相邻对称轴间的距离为
,将函数
的图象向左平移
个单位长度后得到函数
的图象,则函数
在区间
上的值域为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0822fdcc736ce72c46086bab31c2ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1294183e75e2240c38d9ab205f82ce7.png)
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名校
6 . 已知函数
,若
在
内单调且有一个零点,则
的最大值是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f950f6cd3445af85985825a25e42756c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9cfa14d94b1bf9837fc3b73721c1ab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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7 . 已知函数
,则下列结论中正确的是___________ .
①函数
的最小正周期为
②
时,
取得最大值
③
在
上单调递增 ④
的对称中心坐标是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6dccca20c93e60eb23163091bef207d.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0557325eb61aa4c869d9830804cf6137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb16cf42b97b0e85283ee26a12115d8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9a8a21d02d265db87a006821e00e3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c61ca7ba587b0124bcefa03948f4b33.png)
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8 . 用一张
纸围绕半径为
的石膏圆柱体包裹若干圈,然后用裁纸刀将圆柱体切为两段,如图①所示
设圆柱体母线与截面的夹角为
,如图②将其中一段圆柱体外包裹的
纸展开铺平,如果忽略纸的厚度造成的误差,我们会发现剪裁边缘形成的曲线是正弦型曲线,如图③建立适当的坐标系后,这条曲线的解析式可设为
若
的最小正周期为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
__________
此时,若再有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96baee807c43e1a7b7feacf142813e8b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b553e2a281714677e29a5e97dd7d5a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/126294f0ce6c2e08e1e76e81360e495a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b553e2a281714677e29a5e97dd7d5a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7835173543c1a5aacceee46e389fa6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b06282ad603b7a56f22bb084ecc365aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e2d7c958e99bcd9d7f251c19ee3544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/258e40e3883271c3580c1d3c805dcac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e661ad31aa4c6d8684923cf904bf1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96baee807c43e1a7b7feacf142813e8b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/17/51c0e96c-4483-4de2-b7f4-023b730432c8.png?resizew=488)
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名校
9 . 已知
,关于该函数有下面四个说法,
①
的最小正周期为
;
②
在
上单调递增
③当
时,
的取值范围为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82443820d05fb94887d41bc09f02b0e6.png)
④
的图象可由
的图象向右平移
个单位长度得到
其中正确的是______ (填写序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddddfd6956a8400c6b5649ada8edc435.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c9af1bc5ff872a96651a35f47330da.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e670a46456df1a78e6f7ac39cd94fd21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82443820d05fb94887d41bc09f02b0e6.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0df9f3b6523fdd4ae00bd425105bf766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e24f048f9a87274863ba2c037d7a5c.png)
其中正确的是
您最近一年使用:0次
名校
10 . 函数
的部分图像如图所示,则
的最小正周期为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e4892080a918aa2127c09e8d4c28c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/d410b2d7-0f37-4337-aae8-d51b502c0fe5.png?resizew=135)
您最近一年使用:0次
2022-09-23更新
|
1731次组卷
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5卷引用:安徽省亳州市涡阳县第九中学2021-2022学年高一下学期期末数学试题
安徽省亳州市涡阳县第九中学2021-2022学年高一下学期期末数学试题(已下线)第05讲 三角函数的图象与性质 (高频考点—精讲)-1(已下线)专题5.16 三角函数全章综合测试卷(基础篇)-2022-2023学年高一数学举一反三系列(人教A版2019必修第一册)上海市上海交通大学附属中学2022-2023学年高三上学期期中考试数学试题江西省丰城市东煌中学2023届高三上学期9月月考数学试题