名校
1 . 已知点
,
是函数
图象上的任意两点,且角
的终边经过点
,若
时,
的最小值为
.
(1)求函数
的解析式;
(2)求函数
的对称中心及在
上的减区间;
(3)若方程
在
内有两个不相同的解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cca23079082fdf9ee66d9abad7d42a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1001979f75db173909ed66d072704459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f01c7b37ef6566a7a16d178ea9ce7fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98076d00a982cbcbcd065ffa4eaf1602.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a233bbb01dc9a3a4f68f6f49ac2b960.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc191ebded559cc4e6752b9a4e2727c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a53496ae2397150370142b5195a1a39c.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fed38cc3fe3fe33926ceb1af472a243e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14f3227e64be6aa4248da802643df6f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-12-10更新
|
680次组卷
|
6卷引用:四川省绵阳市绵阳南山中学2021-2022学年高一上学期12月月考数学试题
2 . 已知函数
的图像向右平移
个单位长度得到
的图像,
图像关于原点对称,
的相邻两条对称轴的距离是
.
(1)求
的解析式,并求其在
上的增区间;
(2)若
在
上有两解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b0850a69c847cf15f9104255a6e7a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.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/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79261ae8cd9579ea1aa39a789d1a753.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-09-11更新
|
973次组卷
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6卷引用:江西省新余市第四中学2020-2021学年高一下学期第一次段考数学试题
3 . 已知向量
),
,其中
,
,且函数
周期为
.
(1)若
,且
,求
的值;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
(2)方程
在
上有且仅有两个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7607a92cce94801a91f0c279b132fe57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5578e4f613436917802718e88d6d6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2104745f6548c40d42d046514e78df46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/831ae068d909ae25af5096e2d4bc0207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7251a923e0453c036b10ee0091568b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd288d4152caf5fc8187a1a901c8949f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
(2)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0167157f78787134f7695c23734e33d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acfe4c3097b7c51ae97c7d223c8bfda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
20-21高一·浙江·期末
名校
4 . 已知函数
.
(1)求
的最小正周期及单调递增区间;
(2)当
时,方程
有实数解,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8c6d1bd26634b7e8abb62d876a86a0a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b392ae979e54da7e26bbc2d967a72666.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce90064385c4633056784c1ae375a2d5.png)
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名校
5 . 已知函数
的图象与
轴的交点中,相邻两个交点之间的距离为
,且图象过点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a9852d97d0299207fdda4710630040.png)
(1)求
的解析式;
(2)求函数
的单调递增区间;
(3)将函数
的图象向右平移
个单位,再将图象上各点的横坐标伸长到原来的2倍(纵坐标不变),得到函数
的图象,若关于
的方程
,在区间
上有且只有一个实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e94b66bb92b07e6069b241ddecc9cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01a9852d97d0299207fdda4710630040.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c487fec20bd809e0baf5cb39afe8979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebeedf8ab92a660d0c1346c7bbe156e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2020-02-18更新
|
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|
3卷引用:重点题型训练4:三角函数的图像、性质及其综合 2020-2021学年北师大版(2019)高中数学必修第二册
6 . 已知函数
.
(1)求函数
的单调递增区间;
(2)将函数
的图象上每一点的横坐标伸长原来的两倍,纵坐标保持不变,得到函数
的图象,若方程
在
上有两个不相等的实数解
,
,求实数m的取值范围,并求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a2c70e73b27e386e9d1e8061e435f67.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a314299e4ec5fb41750d160813fe76d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58119f48aa8860923d1f13dd78a17c62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
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2020-02-25更新
|
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|
7卷引用:江西省南昌市八一中学、洪都中学等七校2020-2021学年高一上学期期末联考数学试题
7 . 已知函数
(
,
)的图象关于直线
对称,且两相邻对称中心之间的距离为
.
(1)求函数
的单调递增区间.
(2)若关于
的方程
在区间
上总有实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2f079822740a43def4c00aca26b0607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceea6fed130d78179f6edba061360174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24db7b603aebdee8e298d1fe49c848e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/488042cf499bbf4b2426b6703b3b8e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2020-02-20更新
|
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2卷引用:第一章《三角函数》 达标检测(一)-【培优题】2020-2021学年高一数学北师大2019版第二册
名校
8 . 已知函数
.
(1) 求
的最小正周期和单调减区间;
(2) 若
在区间
有两个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcc4ca4d2e53ad1156c77b8394eec958.png)
(1) 求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2) 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3dc72815d41e8d957e22b531ab0c786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc08b681e246016cd05802b234760e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2018-12-17更新
|
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3卷引用:重庆市江津中学校2020-2021学年高一下学期入学考试数学试题
名校
解题方法
9 . 已知函数
,
为方程
的解.
(1)判定
的奇偶性,并求
的定义域;
(2)求若不等式:
对于
恒成立,求满足条件的
的集合.(其中
为自然对数的底)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eed30daeac6e1bd4723174e487a0205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2226adc6098875141a6133ba0a9b800d.png)
(1)判定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求若不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86e0e8367a67f8320181f0c0302c6607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
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