名校
1 . 已知函数
,
.
(1)若直线
是函数
的图像的一条对称轴,求
的值;
(2)若
,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36617ff2b22ad67f5af50b92080ad80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8ea157c7d4b5c6f4c58ade58c0c654.png)
(1)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af15dab0c321b46037eb6f8e4b373d75.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/111c2041044deeb1f0faccdc3d1f96b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ab44c3b6398982bfce109d41672c9a7.png)
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2 . 若正方形
的边长为1,且
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95477c10cbf7f8bb114ba6d2ede56ce6.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b13bc22605ac18f61244ee97b91693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95477c10cbf7f8bb114ba6d2ede56ce6.png)
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3 . 若
,则函数
的单调递增区间为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5851644dbfab0e419d36fabde901dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09977de1173cbd37c7e91fcf83810d4.png)
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4卷引用:2015届上海市普陀区高三二模理科数学试卷
2015届上海市普陀区高三二模理科数学试卷2018届高三数学训练题(28):函数y=Asin(ωx+φ)的图象与性质(已下线)易错点05 三角函数与解三角形-备战2021年新高考数学一轮复习易错题(已下线)第6章 三角(章节易错题型分析)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)
4 . 若函数
的最小正周期为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc1cfa34707e0eca30202c4aafc43879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
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5 . 已知函数
满足![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550344704/STEM/eecd99255634412aa0b90c48bf9853c2.png)
(1)求实数
的值以及函数
的最小正周期;
(2)记
,若函数
是偶函数,求实数
的值.
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550344704/STEM/f5e8bbf38a9f417eacc099df3f8b871e.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550344704/STEM/eecd99255634412aa0b90c48bf9853c2.png)
(1)求实数
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550344704/STEM/8e9225d62217428e843e0e4ec4b679e1.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550344704/STEM/056fe96fb8b045528179e0bfa66eaca3.png)
(2)记
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550344704/STEM/6ccf8056543b44378a74f46f6f9094da.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550344704/STEM/562c9d2fc2f3466e8c141a4042c59bc0.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550344704/STEM/71a179d6a1004f4faed24b0e64f8cb9c.png)
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6 . 若在边长为
的正三角形
的边
上有
(
N*,
)等分点,
沿向量
的方向依次为
,记
,
若给出四个数值:①
②
③
④
,则
的值不可能的共有
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/4019b148832543869a466d74d7f83c21.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/1d7b0ef2afc8471b8b0e945354317f25.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/a94ed169757d48c5b663344a0bd638f5.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/12f169c4debe490799ad8574ba7bb36f.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/7992e6ee644841c0b357eff3f735113e.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/09568ed5a72e4a71ade224800c9a821f.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/7aa69908d55c45a6bb8b04e924bc479b.png)
沿向量
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/45bc8fd44c204f24b585c7f86761384d.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/0661ed88d1fc49468f800fdf4b15de9f.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/0082f7db48a44cdfa1ad7260b78befab.png)
若给出四个数值:①
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/6ec8461399e14b3e8a73fda767053823.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/bb7fc892c3454f81ada4ed59b1f3b979.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/f161d8e285074762a9b71fa0a9353145.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/0d4e38a4203a4cca95b018d28a8ba506.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/5b345e6a30ce44549b07540135283dac.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020550287360/STEM/4019b148832543869a466d74d7f83c21.png)
A.1个 | B.2个 | C.3个 | D.4个 |
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7 . 函数
的单调递增区间是 .
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020544643072/1572020549992448/STEM/d0a18cfd61e84989afad04be20ca6092.png?resizew=103)
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8 . 要得到函数
的图象,只需将函数
的图象
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020440006656/1572020445872128/STEM/a44f666c64194707a4000fc1f1b76bca.png)
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020440006656/1572020445872128/STEM/581c44a6ab474966a14cfda58fba870d.png)
A.向左平移![]() | B.向右平移![]() |
C.向左平移![]() | D.向右平移![]() |
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9 . 函数
的单调递减区间是________________ .
![](https://img.xkw.com/dksih/QBM/2015/3/21/1572020440006656/1572020445577216/STEM/4493d020368b421f83426f0897ec6186.png?resizew=101)
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2014·浙江嘉兴·一模
10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cec0d75a9b9fcefa2b5094a8abae52f.png)
的部分图象如图所示.
、
分别是图象上的一个最高点和最低点,
为图象与
轴的交点,且四边形
为矩形.
![](https://img.xkw.com/dksih/QBM/2014/12/16/1571925205237760/1571925211004928/STEM/914022e8da7a4f56b2cba988fc7d2a50.png)
(Ⅰ)求
的解析式;
(Ⅱ)将
的图象向右平移
个单位长度后,得到函数
的图象.已知
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cec0d75a9b9fcefa2b5094a8abae52f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf51c6b003b1b1d231737c965fa697eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44bb91cbe748b4a367d568d53db52b77.png)
![](https://img.xkw.com/dksih/QBM/2014/12/16/1571925205237760/1571925211004928/STEM/914022e8da7a4f56b2cba988fc7d2a50.png)
(Ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c8c68ba856b1939643f8a7158fa860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/782e75ba5c0648f0b095f1cb2395020b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5ed59c2f306ae46a43bd56262b12092.png)
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