1 . 已知函数
为奇函数,函数
.
(1)若
的最小正周期为
,求出
与
的值;
(2)若
在区间
上有且仅有4个最值点,求
的取值范围;
(3)在(1)的条件下,求
的最大值以及取得最大值时x的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b05b05df566411356e9bc5d816a2ceb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b33fa72b617129146496e19ca2e8a7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0e5e86ec0be2bb2f60965f763cc548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(3)在(1)的条件下,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e15c2171c1be9ec394494ad822a048d.png)
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解题方法
2 . 在
中,
.
(1)求
的值;
(2)以下三个条件中仅有两个正确,请选出正确的条件,并求
:
条件①:
;
条件②:
;
条件③:
的面积为
.
注:如果选择的条件不符合要求,第(2)问得0分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa71351bc501155880905829d23a9e7b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
(2)以下三个条件中仅有两个正确,请选出正确的条件,并求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b01adc561735ff5be9bb97266918f2.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1247d3f167cfa43f2becd2b67c3f33.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81c00f7e3c9b3ca278015e3ec031f102.png)
注:如果选择的条件不符合要求,第(2)问得0分.
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解题方法
3 . 给出以下三个条件:
①直线
,
是
图象的任意两条对称轴,且
的最小值为
,
②
,
③对任意的
,
;
请从这三个条件中任选一个将下面的题目补充完整,并求解.
已知函数
,
,______.
(1)求
的表达式;
(2)将函数
的图象向右平移
个单位后,再将得到的图象上各点的横坐标伸长为原来的
倍,纵坐标不变,得到函数
的图象,求
的单调递增区间以及在区间
上的值域.
①直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971905ea129aec0ca7c325f60260c7e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd86badb20015aa65328fda1e43a117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24acaad3e4a83c102702155e5df281e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d998db584559996d1a463562ebfc83cd.png)
③对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b186f5b59118edded81fefe9d878a7.png)
请从这三个条件中任选一个将下面的题目补充完整,并求解.
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/599e2770c9a9d6d891fd156f0a4f9485.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e4ac856b7ac1c163cced5db3f2b219.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5e24f048f9a87274863ba2c037d7a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42017367e7f9fc70f99d70551852d6e6.png)
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23-24高二上·北京·期末
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解题方法
4 . 已知
、
满足:
,
,
,则代数式
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0587fa5c764b6d5d8439677fad912f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de38bc7405c8e0cf130ba2d13c374783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4017e4ab7a3ebbc318ec0072e855f4f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef060897bb5df181b68720f23ce61eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/190b47b9b96ea962abe5cd6f72295e03.png)
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解题方法
5 . 在
中,角A,B,C的对边分别为a,b,c,
.
(1)求角
的大小;
(2)若
,
,
的面积为
,求a,c的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4542e5dfa3702fb2824682f0731a1c9e.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8e2b380189700530b3352b501c532d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39372e70f5465f8cf0c5ebf7653f0e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adbd3e8cf8325999cde03adf845d3dd0.png)
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2023-11-14更新
|
986次组卷
|
4卷引用:北京市北京师范大学第二附属中学2023-2024学年高二上学期期中测试数学试题
名校
解题方法
6 . 在①
;②
;③
这三个条件中任选一个,补充在下面问题中的横线上,并解答相应的问题.在
中,内角A,B,C的对边分别为a,b,c,且满足______,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76c89502fa2dcd9a0a569f5f598e7052.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc0bd35c34b1f5e97d3a53e3de58021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e954c623ef519e11f96064f726e96e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b98659d4ba75dddc8407085dcee8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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7 . 已知
,
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9690a5bdff69b06d1ca60554be668619.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a9d1b8269a6ff06ee8a1f45cfe72a5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d1fc8fd370aac697f87447c3e8295.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f0ac88c67d6608455ddcaf9849db9c.png)
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2023-09-18更新
|
694次组卷
|
5卷引用:北京市第九中学2021-2022学年高二上学期开学考试数学试题
北京市第九中学2021-2022学年高二上学期开学考试数学试题天津市第二十一中学2023-2024学年高三上学期第一次月考数学试题(已下线)专题13 三角恒等变换压轴题-【常考压轴题】(已下线)第03讲 5.5三角恒等变换+5.6 函数y=Asin(ωx+φ)(1) -【练透核心考点】(已下线)10.2 二倍角的三角函数 (1)-【帮课堂】(苏教版2019必修第二册)
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解题方法
8 . 已知函数
.
(1)求函数
的最小正周期;
(2)求函数
在区间
上的最大值和最小值;
(3)若函数
在
上是减函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43659152b61955d34938a72715ec4a18.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864010f08ba5c814cbc9835b88c080c7.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a9f31f92da02ce3f935f663cd5d221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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9 . 已知函数
的最小正周期为
,且
的图像经过点
.
(1)求
和m的值;
(2)若函数
在区间
内有且仅有1个零点,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34dd47e90443fb2fc939834dca556c19.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/11d655ee6d4c2285b6f59652360862d2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4a90cfdbfa05577b6ec0b22739e7c7.png)
您最近一年使用:0次
2023-08-05更新
|
487次组卷
|
3卷引用:北京市海淀区清华大学附属中学2022-2023学年高二上学期期中考试数学试题
北京市海淀区清华大学附属中学2022-2023学年高二上学期期中考试数学试题北京市第五中学2024届高三上学期10月月考数学试题(已下线)专题5-5 三角函数综合大题归类(2) - 【巅峰课堂】题型归纳与培优练
名校
解题方法
10 . 已知函数
,
,
.
(1)若
图象的相邻两条对称轴之间的距离为
,求
的值;
(2)若
在
上单调递增,且
,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.求
、
的值.
条件①:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f647e05b6f8adbed17f9711a1ab016.png)
条件②:
是
的一个零点;
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0e581180127c0ea089a40657af07b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9531427f246890e815b7ed47e78daa78.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3207791fb9b718adbcf16907fbc9cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59de7bf4c8e8f061fd03f53f335d39f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59f647e05b6f8adbed17f9711a1ab016.png)
条件②:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b61e73c2ecd98d278404b688654b3038.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
条件③:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0ab475a4bd5eac08e3633be1a14d7.png)
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