已知
的内角
,
,
的对边分别为
,
,
,且
.
(1)若
,求
;
(2)若
,当
最大时,求
的周长.
![](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/e1d05700d6cd29d8390f329a25273dce.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70ae594d5c759916fc5bef386a39ee97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba1b919b44c9e1ae938d423d8ed9b7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
23-24高二上·福建泉州·阶段练习 查看更多[3]
福建省泉州市普通高中2023-2024学年高二上学期12月学科竞赛数学试题(已下线)第10讲 6.4.3 第1课时 余弦定理-【帮课堂】(人教A版2019必修第二册)(已下线)6.4.3.1 余弦定理——课后作业(基础版)
更新时间:2023-12-15 19:35:36
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解题方法
【推荐1】在
中,内角
所对的边分别为
.
(1)求
;
(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/cb8068c83673e16f9685dd911a764d14.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96008c974eb0ce4b08504c4e3db9f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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解答题-问答题
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适中
(0.65)
【推荐2】如图所示,锐角
中,
,点D在线段BC上,且
,
的面积为
,延长BA至E,使得
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/c1ce1613-7fc8-49be-b327-a78e2056d201.png?resizew=125)
(Ⅰ)求AD的值;
(Ⅱ)若
,求 AE 的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6ea38caeaba10066e0805f06cb9341d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8992b4d58ea1efb2940a5047f54c7612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e8016c54179f8a648d960c36217195.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d25f8eb66299a0f6650c331d4f50d47d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/c1ce1613-7fc8-49be-b327-a78e2056d201.png?resizew=125)
(Ⅰ)求AD的值;
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adc8b938b293824f5ff218aadd9cb8b.png)
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【推荐1】已知:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d697c104fd3e75c8783232c153e9ee.png)
(1)求函数f(x)的单调递增区间;
(2)在△ABC中,A,B,C的对边分别为a,b,c,若f(A)=1,a=2,求△ABC面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d697c104fd3e75c8783232c153e9ee.png)
(1)求函数f(x)的单调递增区间;
(2)在△ABC中,A,B,C的对边分别为a,b,c,若f(A)=1,a=2,求△ABC面积的最大值.
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【推荐2】已知某圆锥的母线长与底面直径相等,表面积为
.
(1)求此圆锥的体积;
(2)若此圆锥内有一圆柱,该圆柱的下底面在圆锥的底面上,求该圆柱侧面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/997b5842f3d4eae1989debee9ae41b9e.png)
(1)求此圆锥的体积;
(2)若此圆锥内有一圆柱,该圆柱的下底面在圆锥的底面上,求该圆柱侧面积的最大值.
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