2024高一下·上海·专题练习
1 . 某同学用“五点法”画函数
,
在某一周期内的图象时,列表并填入的部分数据如下表:
(1)请填写上表的空格处,并写出函数
的解析式;
(2)将函数
的图象向右平移
个单位,再所得图象上各点的横坐标缩小为原来的
,纵坐标不变,得到函数
的图象,求
的单调递增区间;
(3)在(2)的条件下,若
在
上恰有奇数个零点,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fcd4082d14e5a26c6fccf782576856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1acd2d5f345bc859faaf9edc1036a6c7.png)
![]() | ![]() | ![]() | ![]() | ||
![]() | 0 | ![]() | ![]() | ![]() | ![]() |
![]() | 0 | 1 | 0 | ![]() | 0 |
![]() | 0 | ![]() | 0 | ![]() | 0 |
(1)请填写上表的空格处,并写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ca334d2ae1289b70941e6af9e336a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91609d305f182620aff2f5d85cc7e17f.png)
(3)在(2)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdb2704ea6bc44b5a75fb3c8a100353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3810fc5221a4e2e7095f945bb4a2e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
2 . 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 |
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,如图
是直线
与曲线
的两个交点,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ca1100b456583c791b802ea0b12cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f3fa679bb55ded25a9b72a8e788cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ccc13ec368d58da2c177c6c36adf888.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59991883c80590e38de4b112f85ae1d7.png)
A.0 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-29更新
|
966次组卷
|
3卷引用:模块三 易错点4 已知图象求三角函数解析式时选点不当
(已下线)模块三 易错点4 已知图象求三角函数解析式时选点不当吉林省长春市东北师范大学附属中学2024届高三下学期第五次模拟考试数学试题甘肃省兰州市西北师大附中2024届高三第五次诊断考试(三模)数学试题
名校
解题方法
4 . 4月11日至13日,我校组织高一高二全体师生一千六百余人前往九江、景德镇、上饶、抚州等地开展为期三天的融研学实践活动,汤显祖文化馆是此次研学的路线点之一,该文化馆每年都会接待大批游客.在该文化馆区的一家专门为游客提供住宿的客栈中,工作人员发现为游客准备的食物有些月份剩余较多,浪费很严重.为了控制经营成本,减少浪费,计划适时调整投入.为此他们统计每个月入住的游客人数,发现每年各个月份来客栈入住的游客人数呈周期性变化,并且有以下规律:①每年相同的月份,入住客栈的游客人数基本相同;②入住客栈的游客人数在2月份最少,在8月份最多,相差约400;③2月份入住客栈的游客约为100人,随后逐月递增,在8月份达到最多.
(1)试用一个正弦型三角函数描述一年中入住客栈的游客人数与月份之间的关系;
(2)请问客栈在哪几个月份要准备400份以上的食物?
(1)试用一个正弦型三角函数描述一年中入住客栈的游客人数与月份之间的关系;
(2)请问客栈在哪几个月份要准备400份以上的食物?
您最近一年使用:0次
名校
5 . 已知函数
由下列四个条件中的三个来确定:
①最小正周期为
; ②最大值为
; ③
; ④
.
(1)写出能确定
的三个条件,说明理由,并求
的解析式;
(2)求
的单调递增区间;
(3)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afc3ff03a15347e4b1e270d34825953.png)
①最小正周期为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f43032fdea313ae19f30ac1c3e633273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d65f752f0b300cfaa0d50361f1002581.png)
(1)写出能确定
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c80bcc68cc12a16561614c9e986b2a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b34d7db59e5fc4abeb3589ed4ebe56a.png)
您最近一年使用:0次
名校
6 . 已知函数
.
(1)若
,求
的值;
(2)已知
在区间
上单调递增,
,再从条件①,条件②,条件③这三个条件中选择一个作为已知,使函数
存在,求
的值.
条件①:
;条件②:
;条件③:
在区间
上至少2个零点.
注:如果选择的条件不符合要求,第(2)问得0分;如果选择多个符合要求的条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bbf9eb8cd02852406f3115b17e595a1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4d25c789bd8d26f27acd11b80cf2cb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0c7cf6f381f5803d65c6a7014d39af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbdad7c28041bc61fd822e8a33f2544b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69b5b8c4c24eab782174c5cae1b88a5.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7508db15f81fabe54130981952183a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f731fdfcdafc39b138391f8ce9e69f92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa1fa2962c5887bae137fb85b46f30f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/956e9bc10add9264e2bb4b03e34cfc19.png)
注:如果选择的条件不符合要求,第(2)问得0分;如果选择多个符合要求的条件分别解答,按第一个解答计分.
您最近一年使用:0次
名校
解题方法
7 . 已知函数
.直线
与曲线
的两个交点
如图所示,若
,且
在区间
上单调递减,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
_______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c65ad4f3d66beaf187cec1bb201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d0163d8ad2703b5d5cf91fbb06c23d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb94eaa58a8615a76a5ba3f86d68530d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0c10fe2d2c5aab2b0d2dfa8d75999c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
您最近一年使用:0次
2024-05-07更新
|
872次组卷
|
3卷引用:模块三 易错点4 已知图象求三角函数解析式时选点不当
名校
8 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e658113eadee1b45111b2a927c24e2f.png)
(1)某同学用“五点法”画出函数
在某一周期内的图像,列表如下:
请填写表中的空格,并写出函数
的表达式
(2)若
,将函数
的图像向右平移
个单位长度,再向下平移10个单位长度后得到函数
的图像,求函数
的零点所组成的集合;
(3)对于(2)中的函数
,证明:存在无穷多个互不相等的正整数
,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e658113eadee1b45111b2a927c24e2f.png)
(1)某同学用“五点法”画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![]() | ![]() | ![]() | ![]() | ||
![]() | 0 | ![]() | ![]() | ![]() | ![]() |
![]() | 0 | ![]() | 0 | 0 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3b825b865672c849f8bc7d45e6244e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.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/1938c093dd2fbcb752d0eb7a18d143b2.png)
(3)对于(2)中的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21bbc2539e1b3815242c95118e9b0784.png)
您最近一年使用:0次
2024高三·全国·专题练习
9 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf043920f71bd3941af6e14261873e9b.png)
.
(1)若
,求
的值;
(2)已知f(x)在区间
上单调递增
,再从①
;②
;③
在区间
上单调递减这三个条件中选择一个作为已知,使得函数
存在,求
的值.
注:如果选择的条件不符合要求,那么第(2)问得
分;如果选择多个符合要求的条件分别解答,那么按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf043920f71bd3941af6e14261873e9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3950b773ee716e3dc69bc4ce2987f537.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df4cc610787f87b78a567116361116ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)已知f(x)在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc26840ad76f940c2384fa274fb09e2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e51a7aa15583097e6bfc4570d8fc845e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b56a4f0c7d45e3f3b3a44a447583fbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae621233b391c3dcb1bcf25c3caf4d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f9719dfbf853a031998567a20f0288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69b5b8c4c24eab782174c5cae1b88a5.png)
注:如果选择的条件不符合要求,那么第(2)问得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
您最近一年使用:0次
10 . 已知函数
(
,
)的图像两相邻对称轴之间的距离是
,若将
的图像上每个点先向左平移
个单位长度,再向下平移1个单位长度,所得函数
为偶函数.
(1)求
的解析式;
(2)若对任意
,
恒成立,求实数m的取值范围;
(3)若函数
的图像在区间
(a,
且
)至少有10个零点,在所有满足条件的区间
中,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0644f0e6450dc72668694ab7dfa3252c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb61a448347a3f8c1f126d1c00730cc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeb076bad84890e24dbdc945ad543cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ad821140d72e46733e1b38b3c3245ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2625557af842ee4669ab105b37c36f81.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/242850e4d43e5f02af1e77e7e2aca8ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/726c078ca626f64e0d02c2666d8af105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13502d46b8563c54c09b29b20b3006a4.png)
您最近一年使用:0次