1 . 一般地,函数
(其中
)的最小正周期是________ ,把
图象上所有点的横坐标缩短(当
时)或伸长(当
时)到原来的________ 倍(纵坐标不变),就得到
的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae26042cc00e3d363ac747ecd087f63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00288a55aeecf48d33cdc1277307c90d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219e526faaa7fb02d01ec55b947a9dfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8b79682b1872ca13d4d119adc01613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae26042cc00e3d363ac747ecd087f63.png)
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2 . 已知
的图象关于点
对称,且
在区间
上单调递减,在区间
上单调递增,
.
(1)求
的解析式;
(2)若
,求满足不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce59f0f84271f164e8c2d961c63317a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/358c8c0e7bc2f31f50d9aab6b2f84f5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbf6fbe64bfcf0585d64aee6f3175623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b059e767410227be84c3885eacd2b237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a68eadbcb9953c6d7fc17ef2763ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a7eee74c0769dd2c8d666297460216.png)
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7日内更新
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427次组卷
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3卷引用:河南省驻马店市部分学校2023-2024学年高一下学期5月青桐鸣联考数学试题(北师大版)
河南省驻马店市部分学校2023-2024学年高一下学期5月青桐鸣联考数学试题(北师大版)河南省安阳市林州市第一中学2023-2024学年高一下学期5月月考数学试题(已下线)专题02 三角函数的图象与性质常考题型归类-期末考点大串讲(人教B版2019必修第三册)
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3 . 若函数
满足
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/469836c2772f0c9c8e936a206dbb5edc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/529de93b3e98f0e3074fa740c1f492df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a5cb13d3c924a553d2f545fc4617c8d.png)
A.1 | B.3 | C.4 | D.5 |
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4 . 已知
,若
、
满足
,且
的最小值为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186a098c3057168998a3e8aaf62303cb.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/aea6aa25a3efc37d236cad6da52fc1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
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5 . 摩天轮常被当作一个城市的地标性建筑,如深圳前海的“湾区之光”摩天轮,如图所示,某摩天轮最高点离地面高度128米,转盘直径为120米,设置若干个座舱,游客从离地面最近的位置进舱,开启后按逆时针匀速旋转
分钟,当
时,游客随舱旋转至距离地面最远处.以下关于摩天轮的说法中,正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d106a430e7748a4d596401820b9abd8.png)
A.摩天轮离地面最近的距离为8米 |
B.若旋转![]() ![]() ![]() |
C.若在![]() ![]() ![]() |
D.存在![]() |
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6 . 已知函数
的部分图象如图中实线所示,图中圆
与
的图象交于
两点,且
在
轴上,则下列命题正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29602cbc73377b9e6dde14a1cccbf05a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
A.函数![]() ![]() |
B.函数![]() ![]() |
C.函数![]() ![]() ![]() |
D.若圆![]() ![]() ![]() |
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2024-05-31更新
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536次组卷
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3卷引用:广东省韶关市乐昌市第二中学2024届高三下学期保温测试(5月模拟)数学试题
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7 . 在条件①对任意的
,都有
;条件②
最小正周期为
;条件③
在
上为增函数,这三个条件中选择两个,补充在下面的题目中,并解答.
已知
,若______,则
唯一确定.
(1)求
的解析式;
(2)设函数
,对任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4becec171b43ff11b58285a7cf5fd6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e8a607883e46aa52f2cad51a5ddacff.png)
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b0df153aacb820a9109d4651413d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69b5b8c4c24eab782174c5cae1b88a5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca82b2d1d8da50fd128c4a9766203406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9720087e589bf3d16877ddcf4712cb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da74439c435a5419800b670203d6d719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-05-29更新
|
387次组卷
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2卷引用:四川省内江市威远中学校2023-2024学年高一下学期第二次月考数学试题
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8 . 水车是古代中国劳动人民发明的灌溉工具,相传为汉灵帝时华岚造出雏形,经三国时孔明改造完善后在蜀国推广使用.作为中国农耕文化的重要组成部分,它体现了中华民族的创造力,为中国农业文明和水利史研究提供了见证.被誉为“水车之都”的兰州建起了一处水车博览园,再现了以前黄河两岸水车林立的壮观景象.如图为一架新制作的水车,其最高点距离水面为18米,最低点在水面下2米,该水车每
转一圈,若从水轮左侧距离水面3米的点处开始计算时间(假定水车逆时针方向旋转).
距离水面的高度
(单位:
)表示为时间
(单位:
)的函数;
(2)在水轮转动的一圈内,有多长时间点
距水面的高度超过
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb21c93732b200bdddc5217b66090722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76ce48eafd36547782174eb304d4a003.png)
(2)在水轮转动的一圈内,有多长时间点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e685c2fe2f54fa7947538472cd7caa9.png)
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9 . 已知函数
的图象与直线
两相邻交点之间的距离为
,且图象关于
对称.将函数
的图象向左平移
个单位,再将图象上所有点的横坐标伸长到原来的2倍,得到函数
的图象.
(1)求
的解析式;
(2)求函数
图象的对称中心;
(3)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/179f0d7b5450cd3078a6d5213cd40056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9895bf4192f5c55c16f8270d53c49b13.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)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(3)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0a2a1ebc67f3f8cf87d6ddc4285168.png)
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10 . 如图是函数
(
,
,
)的部分图像,M,N是它与x轴的两个不同交点,D是M,N之间的最高点且横坐标为
,点
是线段DM的中点.
的解析式;
(2)若
时,函数
的最小值为
,求实数a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcd3cea5f5e2fe943490dcb65d74c73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af87a22a39bd12c4734b0bdf1596b42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5389b197345ddd861b9eda4dc9e1fb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c02143be07f7f980c4a2a3bb37b87e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f322f4d15d76b0b5e69e7bf1b43b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
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