1 . 已知函数
.求:
(1)
的最小正周期;
(2)
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/230e8a254a0521ca7e9877c24b51d17b.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2 . 已知函数
,
(1)求
的最小周期和单调递增区间;
(2)将函数
的图象上每一点的横坐标伸长到原来的两倍,纵坐标不变,得到函数
的图象.当
时,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284771bd39272aff2259a7915c9779cb.png)
(1)求
![](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/be4e1d71a01dad09dccd75f2ccb4fcea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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名校
解题方法
3 . 已知
,
,其中
,
.
(1)求
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dab78aefa6aa5a889081ebe73f6580d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebdd6155a995158f85bd39a7d1d79add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04515cee3fcef6932e8406ed1001abcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63130bdbac5daa62fba51715ad804220.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13daac09de9fe134b126107e3fe654b.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73f8481c483bb605f505414fde3c6a8d.png)
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4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b2107d4201331cad7d939eb35090869.png)
(1)求函数
的最小正周期;
(2)当
时,求函数
的单调递减区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b2107d4201331cad7d939eb35090869.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2023-08-08更新
|
828次组卷
|
4卷引用:专题5-5 三角函数综合大题归类(1) - 【巅峰课堂】题型归纳与培优练
(已下线)专题5-5 三角函数综合大题归类(1) - 【巅峰课堂】题型归纳与培优练湖北省仙桃市田家炳实验高级中学2022-2023学年高一下学期期中数学试题黑龙江省鹤岗市工农区鹤岗市第一中学2023-2024学年高三上学期开学数学试题江苏省连云港市海州高级中学开发区校区2024届高三上学期10月阶段测试数学试题
解题方法
5 . 如图所示,已知OPQ是半径为2,圆心角为
的扇形,C是扇形弧上的动点,ABCD是扇形的内接矩形,记
,求当角
取何值时,矩形ABCD的面积最大?并求出这个最大面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de2e157b248dce91edb76974bd5bb3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/8/7f734562-4dac-4269-b6e1-8cd5c6c37117.png?resizew=158)
您最近一年使用:0次
名校
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c68e6d6050b1c7e427865c9696cd154.png)
(1)求函数
的最小正周期及函数的单调递减区间;
(2)求函数
在
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c68e6d6050b1c7e427865c9696cd154.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/44d51992c05a557cf6058664f1f8961e.png)
您最近一年使用:0次
2023-08-07更新
|
1710次组卷
|
6卷引用:山东省郓城第一中学2022-2023学年高一上学期期末数学试题
山东省郓城第一中学2022-2023学年高一上学期期末数学试题山西省太原师范学院附属中学(太原市师苑中学校)2023-2024学年高二上学期开学分班测评数学试题黑龙江省哈尔滨德强学校2024届高三上学期开学考试数学试题(二卷)(已下线)5.5 三角恒等变换(精讲)-《一隅三反》系列(已下线)第五章 三角函数(32类知识归纳+38类题型突破)(6) -速记·巧练(人教A版2019必修第一册)(已下线)第13讲:三角恒等变换综合性质-《考点·题型·难点》期末高效复习
名校
解题方法
7 . 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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名校
解题方法
8 . 在
中,内角A,B,C的对边分别为a,b,c,若
.
(1)求角C的大小;
(2)若
,
且
的面积为
,求边长c.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dd0c2a4a1107ea28a418a7d281ef5e.png)
(1)求角C的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89b49f4d5149bc931170f4ba418c24a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
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解题方法
9 . 已知
的内角
,
,
的对边分别为
,
,
,
.
(1)求
的大小;
(2)当
,
时,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b48801896c69170e70435f8bcbee8b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68abf671ba1bc7cbf2704f1dfde481d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58907b309d8b15bae8c56015cbc5571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
10 . 已知
,
,
,
,
图像上相邻的两个对称轴的距离是
.
(1)求ω的值;
(2)求函数
在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a527e811e08913ad238e9376dbb0b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/607b3d012310f421664df0c0d8ab3348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e7b2150ed88d3ffdec3d142617eacf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)求ω的值;
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
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