设
的内角
的对边分别为
,
为钝角,且
.
(1)探究
与
的关系并证明你的结论;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3f44eb5f3279ca91dd1c110fdb4b3b6.png)
(1)探究
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e541f56ea4827edcd9ef463aa8e0b0.png)
22-23高三上·湖南湘潭·开学考试 查看更多[4]
湖南省湘潭市2022-2023学年高三上学期入学摸底考试数学试题(已下线)专题4-4 三角函数与解三角形大题综合归类 - 2河北省邯郸市部分学校2023届高三上学期11月月考数学试题(已下线)专题12 解三角形综合-1
更新时间:2022-08-30 14:54:09
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【推荐1】已知函数
(
,
,
)的部分图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/66c2ed8b-680e-4d63-8f1b-5633183db1b5.png?resizew=183)
(1)求函数
的解析式
(2)求
的单调增区间;
(3)求
在区间
上的最大值和最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6af8bf3460444e4fd0d2056bcfb84d1d.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/aa6af3e2115ce0aaf5b99ac70c4441d1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/66c2ed8b-680e-4d63-8f1b-5633183db1b5.png?resizew=183)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4685cf90e784688a98c1ccc02e5f1fa0.png)
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【推荐2】已知函数
.
(1)求函数
的最小正周期;
(2)若
对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2df3d878b6a6f2f2364e4e0faf2f1328.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6e507ae4b249e4cab8980401119e659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36b7edbd8378708945cce0e9be48668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐1】如图,
是半径为2,圆心角为
的扇形,点A在弧
上(异于点P,Q),过点A作
,垂足分别为B,C,记
,四边形
的面积为S.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/d02f0cab-f2d6-4269-8c9b-e7d96b77e79f.png?resizew=149)
(1)求S关于
的函数关系式;
(2)当
为何值时,S有最大值,并求出这个最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6c71a0da6a878a5b12bf8a8e784645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ff68bf20bc959f04f2200c1b65e518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb7e00f8bacce4d649b535449f04568c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ee16d255882de29f59a75e5ab15f34.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/d02f0cab-f2d6-4269-8c9b-e7d96b77e79f.png?resizew=149)
(1)求S关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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【推荐2】已知函数
.
(1)当
时,求
的值域;
(2)若
,且
,求
的值;
(3)若
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb347d76ffdad46c2a7f0489d6b68b2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35759b9da04737cd3cfc52d10d98c014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e620eb22812f53c37961c73729dadf2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5ff5a2e7663e6a21ccea3149a10113.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35759b9da04737cd3cfc52d10d98c014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38df949cc1ca922729ae6b5d3a4478a7.png)
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解题方法
【推荐1】从①
,②
,③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dcc87636fe54dae61ac6be763a299c.png)
这三个条件中任选一个,补充在下面的已知中,并解答.
已知:
的内角
,
,
的对边分别为
,
,
,且______.
(1)求角
;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a3eef568043d4019a0107a0a4c011de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8604e40595ed8a98cda0ef529845a082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23dcc87636fe54dae61ac6be763a299c.png)
这三个条件中任选一个,补充在下面的已知中,并解答.
已知:
![](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)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1d6201ae8b341fe7c2e578429dddcb.png)
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【推荐2】在
中,角
所对的边分别是
已知
.
(1)求
的大小;
(2)若
的面积为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/832a6ae04b25ef0896bd607cdcda60ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aebe81d90dad0db8d1883ead8cc909f0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38792ab2e75426f47c26a323586b4bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
【推荐1】已知二次函数
.
(1)若
为偶函数,求
在
上的值域;
(2)若
在区间
上是减函数,求实数
的取值范围;
(3)若
时,
的图象恒在直线
的上方,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4809532985794c21b97140767dfd0439.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a92ba8b43bebdf7d6c40917f4d3e110.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7985d10eebc1abb5fea36eaf752af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1447dbe580ac5c825776995118e75acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
【推荐2】已知函数
.
(1)当
时,求
在区间
上的值域;
(2)若函数
在区间
上是减函数,求
的取值范围;
(3)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25d72d7827273e77f2b6d94a4b8d7c1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23c33b69adc112831fa115b5dffdb616.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c3204dcb6b697db534514558111f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
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