已知函数
.
(1)利用“五点法”列表,并画出
在
上的图象;
(2)
,
,
分别是锐角
中角
,
,
的对边.若
,
,求
面积的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/637d94f70cd1ba14bd01c349f28f074b.png)
(1)利用“五点法”列表,并画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0009562dd82c64593f45ff6933996b.png)
(2)
![](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/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/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4da7fbb57f4a6e3c5213a538055a15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
2021·广东·模拟预测 查看更多[7]
广东省珠海市第二中学2021届高三5月份最后一次测试数学试题(已下线)专题17 作函数y=Asin(ωx+φ)(A>0,ω>0)的图象常用方法-备战2022年高考数学之学会解题必备方法技巧规律(全国通用)(已下线)5.6 三角函数专题的综合运用(精讲)-【一隅三反】2022年高考数学一轮复习(新高考地区专用)(已下线)专题21 三角形中的最值与范围问题,你处理好了吗-备战2022年高考数学一轮复习一网打尽之重点难点突破(已下线)第2讲 三角恒等变换与解三角形(讲·)-2022年高考数学二轮复习讲练测(新教材·新高考)(已下线)专题06 三角函数-备战2022年高考数学(文)母题题源解密(全国乙卷)(已下线)6.4.3 正、余弦定理的实际运用(精练)-2021-2022学年高一数学一隅三反系列(人教A版2019必修第二册)
更新时间:2021-06-19 09:31:33
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相似题推荐
解答题-作图题
|
适中
(0.65)
名校
【推荐1】已知
,
.记![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8075a07b0616b9174566397bd19bcf8c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/a41e50ba-2de0-4325-a9cb-e0c74e973cbd.png?resizew=376)
(Ⅰ)求函数
的单调递增区间和图象的对称轴方程;
(Ⅱ)画出函数
在区间
上的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fc9a6fdb07249a061d89eb176794e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a9816ca92d4a37a674cc713b441722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8075a07b0616b9174566397bd19bcf8c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/a41e50ba-2de0-4325-a9cb-e0c74e973cbd.png?resizew=376)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1613d377a07850c72cbec354b7a3000f.png)
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解答题-作图题
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适中
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【推荐2】已知函数
满足
.
的值;
(2)用五点法画出函数
在一个周期上的图象;
(3)根据(2)得到的图形,写出函数
的图象的对称轴方程与对称中心的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04108128425158e44c62533b7fbbae4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7966f0740c2827c8403ac6aa8c371b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
(2)用五点法画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(3)根据(2)得到的图形,写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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【推荐1】已知
,
(
,
),
且
的图象上相邻两条对称轴之间的距离为
.
(1)求函数
的单调递增区间;
(2)若
的内角
,
,
的对边分别为
,
,
,且
,
,
,求
,
的值及
边上的中线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07b52ed0cb8be5425ff72b9d2e4f0081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd5024d9eaa2f71bbec3c1ffc5cb8f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da79ed923a0e3fcdae4f0c0dac2359e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](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/8653af649d2a1b22f50c8529ef43136d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b837558783b86332c12957b6260f0410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44255421dbf68d84f86551b34a57656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
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【推荐2】对于函数
,
,如果a,b,c是任意的非负实数,都有
,
,
是一个三角形的三边长,则称函数
为
上的“恒三角形函数”.
(1)设
,
,若函数
是
上的“恒三角形函数”,试求实数
的取值范围;
(2)在(1)的条件下,令函数
,若对任意的
,总存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f484115a9df1b6060d6b14df85c6f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35770a47ffcba6bf1d94eceabb416d96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee0882f5f575d9e0ae7677efbd41b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b891d1a2a11ea71b6186558ce9f9f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958ec111c14ee3790b03be9707d68eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ac5a318040b6efc64e914e27a3ea12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)在(1)的条件下,令函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5e16dafcaed66dc6ea9994c2571d48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8faa3c9cac663cb8c715f1f0a35163a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f1a33c57ba12929592f747ccf5244d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06414472fa659052f0aa473daa0a758b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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【推荐3】已知函数
且函数
的最小正周期为
;
(1)求函数
的解析式;
(2)在
中,角
所对的边分别为
,若
且
,求
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f00ee055ed98b0c8842d1aa0acad82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)在
![](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/efd8b7a2a3984aeaee6acc03fb8e2744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be4380bdcef1c542604a6ad61642c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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解题方法
【推荐1】在
中,角A,B,C所对的边分别为a,b,c,现有三个条件:
①
;
②
;
③
(S为
的面积).
请从以上三个条件中选择一个填入下面横线上作为前提条件,并求解.(注:若选择多个条件分别解答,则按第一个解答给分)
已知:______.
(1)若
,
,求
内切圆的半径;
(2)若点D是
上一点,且
,
的面积
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8604e40595ed8a98cda0ef529845a082.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8f385e11d2e33d84245e9b10da43ba.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511f1fef35ea0e9c51704d8e47afe9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
请从以上三个条件中选择一个填入下面横线上作为前提条件,并求解.(注:若选择多个条件分别解答,则按第一个解答给分)
已知:______.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8b709a173120436dac669c74b927d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若点D是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7289ef8051c49b4089836bac6f70b4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a2dd89c37b60b4596ac30e339aa0000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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【推荐2】
的内角
,
,
的对边分别为
,
,
,且
.
(1)求角
;
(2)求
的最小值.
![](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/9e846b837e9d29a7bd33883e62976fe2.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f97c431c2995aef4a513baa53751d6.png)
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【推荐1】在
中,角A,B,C的对边分别为a,b,c,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/b57aebde-c9a6-4fd9-9c73-faa48f247543.png?resizew=173)
(1)求角B的大小;
(2)设D为边AC上一点,
,
,求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dc0bd35c34b1f5e97d3a53e3de58021.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/b57aebde-c9a6-4fd9-9c73-faa48f247543.png?resizew=173)
(1)求角B的大小;
(2)设D为边AC上一点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ecb138a844ef11bb3214cff0a475c9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb08f6a798dc293f3d8de281190f65e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解题方法
【推荐2】已知
分别为
三个内角
的对边,且
.
(1)求B;
(2)若
为锐角三角形,且
,求
的面积S的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](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/eb984c19c2636e8e3658bae7acabbf16.png)
(1)求B;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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